# Wright State University Lake Campus/2016-1/Phy2400/log

This is the course Journal where I try to document what we do each day. It has this subpage where I keep stuff

## monday 1/11 Looked at first quiz)

• First quiz..interupted by music lesson

## 1/12 tue lab

• dentists in celina

## 1/13 Wed registration on Wikiversity

Show you your personal S (subspace) under the log (this course journal).

Study guide up to where we did prob 3 in first quiz in chapter 2 (definitions): 2.07 mph/sec.

Will do unit conversion on thursday.

## 1/14 Thursday finished registration

• Everybody should:
1. Be registered with a a Template:EduV/enroll filled out on main course page. Done
2. Have the link to the main course page on their user page. To do this, just copy
 [[Wright State University Lake Campus/2016-1/Phy2400]]
onto your user page and check it to ensure that it works. Done
3. Install visual editor from Wikiversity.
1. Do a variation of the Fermi question on piano turners in NYC (together in class).
2. Does anybody have any dinosaur piss inside them right now? (together in class).
3. Find and insert image into your userspace.
1. New tab open wikimedia commmons using google (commons is key)
2. find random file and paste the entire title (address) file:xxxxxx.gif or jpeg
3. paste into user page
4. turn it into a link with: double square brackets and pipe with instructions.

### Homework

Propose a format for the organization of your '''.S''' log subpage.

## 1/18 tue lab spitwads and curve fitting

• Did basketball-tennis ball energy exchange using Earth's gravity.

#### Important announcement

Tuesday's and Thursdays are lab days and I need to take attendance. Usually this will be in the form of a 1-page report on blank typing paper. Leave a 3/4 inch margin all around and do not include your real identity inside that space.

• At the very top (inside the 3/4 inch margin where it can be deleted): First last name and date.
• At the very bottom (also in the margin where it can be cut): Name of today's lab and real name.
• In the lower right hand corner, but outside the margins where it will be seen by viewers, you are strongly encouraged to write "I release to public domain - username" This way you or I can post to commons. I will not post handwritten diagrams without your permission.
• Within 24 hours you need to start a journal inside your log's .S personal subpage. Write a one sentence summary of every lab that you attend.

You need to follow the aforementioned instructions so that I can give you a good lab grade

• Class discussion: It would be easy for you to copy somebody else's lab report. How can I make this not sound so bad?

## 2/4

1. Hand sketch of three string problem to estimate T1 if theta_1 is 18 deg, theta_3 is 34 deg and T_3 os 24 N.
2. Each group picks a problem from Physics equations/04-Dynamics: Force and Newton's Laws/Q:tensions/Testbank, solves it and puts it on the board.

## 3/13 Newton's Dark Secrets

Questions posed by students

11 minutes:

1. Who was Newton's roomate? what college? How long there?
2. What coincidence is involved with the year somebody died and/or was born?
3. How did Newton disagree with Descartes?
4. What did Copernicus have to do with Astronomy at the time?
5. What interested Newton as a child?
6. Newton was interested in predicting something very important. What? When will it happen?

26 minutes

1. What interested Newton about Alchemy?
2. How did Newton's telescope differ from previous ones?
3. What first triggered Newton's feud with Hooke?
4. Where did Newton get the word "gravity"?
5. Why did Newton leave the univeristy and go home?
6. Did the university close when Newton left?
7. At what age did Newton invent calculus?
8. What was the magnification of Newton's telescope?
9. What discovery led to Newton's invitation to join the Royal Society?

afterwords:

Why did Newton take up Alchemy?

How have historians viewed Newton's efforts in Alchemy?

People know great truths in the ancient past. Greek myths were encoded recipients.

The green lion and sordid whore.

File:Glacial striation 21145.JPG

The net was produced. Alloy with striated netlike surface.

34 minutes

## 3/24 Centripetal force lab

instructions
1. Sketch the device in hanging mode and in swinging mode. Make two different sketches in "profile" view (i.e., from the side).In hanging mode, a mass, M, is attached by a string over the pulley.
2. Label the hanging mass M.
3. Do not sketch the counterweight, but label the rotating mass as m.
4. Label the radius of orbit as r.
5. Sketch and label the horizontal and vertical support rods (labeling both as "rod:", as well as the spring.
6. Label the force that the spring exerts on the rotating mass as Fs.
1. What direction does this force go?
7. In the rotating mode sketch, include the pointer rod. In rotating mode the object is moving at speed v, place that letter on the diagram.
1. What is the purpose of this pointer rod? (Hint: remove the hanging weight M and rotate)
2. Why is it important that the two support rods, the spring and the vertical string to m make a perfect rectangle?
3. Make two free body diagrams: (1) when it is rotating with the shape a perfect rectangle and (2) with the shape not a rectangles.
4. Why is the net force in the x direction not zero?
5. Write down two equations for Fs. Neither involves the "spring constant". Select from your list of variables: m, M, g, r, v, a.
8. Your working equation is ma=Mg. Two can be measured and one is known. Write down these values: m=?, M=?, g=9.8ms2. The class measured m=.4558 kg, and M = .211 kg.-->
9. How are we going to measure a? Force divided by mass is one answer, but to verify we need an independent measurement.
10. Can we measure v if we know period. Let the period (of one revolution) be called T. It is easier to measure the period of 20 revolutions. Class got 20T = 26.8 seconds.

Calculate r, v, and a+ r= .18m, v=? and a=?

## 3/29 Solutions to questions 13, 14, 15

Musical harmony

1. Two problems: 7 is a large prime number, and also 5/7≈10/7 (both close to the square root of two, or the logarithmic midpoint of the octave (factor of 2). As far as I know, nobody has investigated whether the proximity of two ratios of nearly the same order could cause this interval to sound harsh.
2. Download three versions of the Devils tritone: 10:7 (617.49 cents) - 7:5 (582.51 cents) - √2:1 (600 cents)
3. La danse macabre is one of many musical works that features this interval of dubious consonance.
4. Wikipedia:Scordatura describes the alternate tuning of the solo violinist that replaces one of the fifths by a fourth. See also Wikipedia:Danse_macabre_(Saint-Saëns) for this rendition on commons.
5. See Wiktionary:macabre for the definition and pronunciation of this word.

## 4/19 and 4/21 Practice questions

Extended content
==160419 calc second lab==

${\displaystyle {\mathcal {CONTRIBUTE}}\;\;{\mathcal {TO}}\;\;{\mathcal {THIS}}\;\;{\mathcal {QUIZ!}}}$
Edit, discuss, or propose related questions by clicking the number that preceeds each question. Click here for details.

If you are reading this as a Wikiversity page, proper pagebreaks should result if printed using your browser's print option, usually located in the upper right portion of your screen. But, pagebreaks do not render properly if you use "Printable version" on Wikiversity's Print/export option on the left-hand sidebar. Attribution for the quizzes, and study links are at the end of this document.

### 160419 calc second lab-v1s1

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

2. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

3. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
___ a) 2.30 m
___ b) 2.46 m
___ c) 2.63 m
___ d) 2.82 m
___ e) 3.02 m

4. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

#### Key to 160419 calc second lab-v1s1

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

2. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

3. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

4. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

### 160419 calc second lab-v2s1

1. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
___ a) 0.559 kg
___ b) 0.587 kg
___ c) 0.617 kg
___ d) 0.648 kg
___ e) 0.680 kg

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

5. The cart has a mass of 42.30kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.52m. If the spring constant was 499N/m, what was the initial compression?
___ a) 2.09 m
___ b) 2.24 m
___ c) 2.39 m
___ d) 2.56 m
___ e) 2.74 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

#### Key to 160419 calc second lab-v2s1

1. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
- a) 0.559 kg
- b) 0.587 kg
- c) 0.617 kg
- d) 0.648 kg
+ e) 0.680 kg

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

5. The cart has a mass of 42.30kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.52m. If the spring constant was 499N/m, what was the initial compression?
- a) 2.09 m
+ b) 2.24 m
- c) 2.39 m
- d) 2.56 m
- e) 2.74 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

### 160419 calc second lab-v1s2

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

2. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.38
___b) 0.46
___c) 0.55
___d) 0.66
___e) 0.79

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
___ a) 2.30 m
___ b) 2.46 m
___ c) 2.63 m
___ d) 2.82 m
___ e) 3.02 m

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

6. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
___ a) 0.608 kg
___ b) 0.638 kg
___ c) 0.670 kg
___ d) 0.703 kg
___ e) 0.739 kg

#### Key to 160419 calc second lab-v1s2

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

2. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.38
+b) 0.46
-c) 0.55
-d) 0.66
-e) 0.79

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

6. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
+ e) 0.739 kg

### 160419 calc second lab-v2s2

1. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

3. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
___ a) 1.85 m
___ b) 1.98 m
___ c) 2.12 m
___ d) 2.27 m
___ e) 2.43 m

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

#### Key to 160419 calc second lab-v2s2

1. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

3. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
- a) 1.85 m
- b) 1.98 m
- c) 2.12 m
- d) 2.27 m
+ e) 2.43 m

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

### 160419 calc second lab-v1s3

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

3. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

6. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
___ a) 1.97 m
___ b) 2.11 m
___ c) 2.25 m
___ d) 2.41 m
___ e) 2.58 m

#### Key to 160419 calc second lab-v1s3

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

3. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

6. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
- a) 1.97 m
+ b) 2.11 m
- c) 2.25 m
- d) 2.41 m
- e) 2.58 m

### 160419 calc second lab-v2s3

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

2. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

4. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

5. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

___a) 15.4 N.
___b) 17.7 N.
___c) 20.4 N.
___d) 23.5 N.
___e) 27 N.

6. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
___ a) 1.23 m
___ b) 1.32 m
___ c) 1.41 m
___ d) 1.51 m
___ e) 1.62 m

#### Key to 160419 calc second lab-v2s3

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

2. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

4. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

5. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.
-b) 17.7 N.
+c) 20.4 N.
-d) 23.5 N.
-e) 27 N.

6. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
- a) 1.23 m
- b) 1.32 m
- c) 1.41 m
+ d) 1.51 m
- e) 1.62 m

### 160419 calc second lab-v1s4

1. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

4. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
___ a) 0.608 kg
___ b) 0.638 kg
___ c) 0.670 kg
___ d) 0.703 kg
___ e) 0.739 kg

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

#### Key to 160419 calc second lab-v1s4

1. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

4. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
+ e) 0.739 kg

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

### 160419 calc second lab-v2s4

1. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

2. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.2 m/s2.
___b) 8.3 m/s2.
___c) 9.5 m/s2.
___d) 11 m/s2.
___e) 12.6 m/s2.

3. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
___ a) 1.68 m
___ b) 1.79 m
___ c) 1.92 m
___ d) 2.05 m
___ e) 2.20 m

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

6. The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
___ a) 0.225 kg
___ b) 0.236 kg
___ c) 0.248 kg
___ d) 0.260 kg
___ e) 0.273 kg

#### Key to 160419 calc second lab-v2s4

1. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

2. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.2 m/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

3. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
- a) 1.68 m
- b) 1.79 m
- c) 1.92 m
+ d) 2.05 m
- e) 2.20 m

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

6. The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
- a) 0.225 kg
- b) 0.236 kg
+ c) 0.248 kg
- d) 0.260 kg
- e) 0.273 kg

### 160419 calc second lab-v1s5

1. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
___ a) 1.68 m
___ b) 1.79 m
___ c) 1.92 m
___ d) 2.05 m
___ e) 2.20 m

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

5. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

#### Key to 160419 calc second lab-v1s5

1. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
- a) 1.68 m
- b) 1.79 m
- c) 1.92 m
+ d) 2.05 m
- e) 2.20 m

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

5. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

### 160419 calc second lab-v2s5

1. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.46 m
___ b) 2.63 m
___ c) 2.81 m
___ d) 3.01 m
___ e) 3.22 m

2. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

3. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

4. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.38
___b) 0.46
___c) 0.55
___d) 0.66
___e) 0.79

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

#### Key to 160419 calc second lab-v2s5

1. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.46 m
- b) 2.63 m
- c) 2.81 m
- d) 3.01 m
- e) 3.22 m

2. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

3. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

4. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.38
+b) 0.46
-c) 0.55
-d) 0.66
-e) 0.79

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

### 160419 calc second lab-v1s6

1. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
___ a) 1.78 m
___ b) 1.90 m
___ c) 2.03 m
___ d) 2.18 m
___ e) 2.33 m

2. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.5 N.
___b) 14.3 N.
___c) 16.5 N.
___d) 19 N.
___e) 21.8 N.

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

6. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

#### Key to 160419 calc second lab-v1s6

1. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
- a) 1.78 m
- b) 1.90 m
- c) 2.03 m
- d) 2.18 m
+ e) 2.33 m

2. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.5 N.
-b) 14.3 N.
+c) 16.5 N.
-d) 19 N.
-e) 21.8 N.

3. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

6. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

### 160419 calc second lab-v2s6

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

3. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
___ a) 0.559 kg
___ b) 0.587 kg
___ c) 0.617 kg
___ d) 0.648 kg
___ e) 0.680 kg

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
___ a) 2.30 m
___ b) 2.46 m
___ c) 2.63 m
___ d) 2.82 m
___ e) 3.02 m

5. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

6. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

#### Key to 160419 calc second lab-v2s6

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

3. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
- a) 0.559 kg
- b) 0.587 kg
- c) 0.617 kg
- d) 0.648 kg
+ e) 0.680 kg

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

5. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

6. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

### 160419 calc second lab-v1s7

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

2. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
___ a) 0.559 kg
___ b) 0.587 kg
___ c) 0.617 kg
___ d) 0.648 kg
___ e) 0.680 kg

3. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
___ a) 1.85 m
___ b) 1.98 m
___ c) 2.12 m
___ d) 2.27 m
___ e) 2.43 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

6. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

#### Key to 160419 calc second lab-v1s7

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

2. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
- a) 0.559 kg
- b) 0.587 kg
- c) 0.617 kg
- d) 0.648 kg
+ e) 0.680 kg

3. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
- a) 1.85 m
- b) 1.98 m
- c) 2.12 m
- d) 2.27 m
+ e) 2.43 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

6. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

### 160419 calc second lab-v2s7

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

2. The spring constant is 594N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.66m, before coming to rest?
___ a) 1.268 kg
___ b) 1.331 kg
___ c) 1.397 kg
___ d) 1.467 kg
___ e) 1.541 kg

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
___ a) 1.83 m
___ b) 1.96 m
___ c) 2.10 m
___ d) 2.24 m
___ e) 2.40 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

5. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

#### Key to 160419 calc second lab-v2s7

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

2. The spring constant is 594N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.66m, before coming to rest?
- a) 1.268 kg
+ b) 1.331 kg
- c) 1.397 kg
- d) 1.467 kg
- e) 1.541 kg

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
- a) 1.83 m
+ b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

5. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

### 160419 calc second lab-v1s8

1. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
___ a) 1.85 m
___ b) 1.98 m
___ c) 2.12 m
___ d) 2.27 m
___ e) 2.43 m

2. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.2 m/s2.
___b) 8.3 m/s2.
___c) 9.5 m/s2.
___d) 11 m/s2.
___e) 12.6 m/s2.

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

5. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
___ a) 0.421 kg
___ b) 0.442 kg
___ c) 0.465 kg
___ d) 0.488 kg
___ e) 0.512 kg

6. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

#### Key to 160419 calc second lab-v1s8

1. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
- a) 1.85 m
- b) 1.98 m
- c) 2.12 m
- d) 2.27 m
+ e) 2.43 m

2. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.2 m/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

5. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
+ a) 0.421 kg
- b) 0.442 kg
- c) 0.465 kg
- d) 0.488 kg
- e) 0.512 kg

6. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

### 160419 calc second lab-v2s8

1. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

2. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

4. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

#### Key to 160419 calc second lab-v2s8

1. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

2. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

4. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

6. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

### 160419 calc second lab-v1s9

1. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

4. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.1
___b) 0.12
___c) 0.14
___d) 0.17
___e) 0.2

5. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
___ a) 2.39 m
___ b) 2.56 m
___ c) 2.74 m
___ d) 2.93 m
___ e) 3.14 m

6. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
___ a) 0.201 kg
___ b) 0.211 kg
___ c) 0.222 kg
___ d) 0.233 kg
___ e) 0.244 kg

#### Key to 160419 calc second lab-v1s9

1. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

4. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1
-b) 0.12
-c) 0.14
-d) 0.17
+e) 0.2

5. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
- a) 2.39 m
- b) 2.56 m
- c) 2.74 m
+ d) 2.93 m
- e) 3.14 m

6. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
+ a) 0.201 kg
- b) 0.211 kg
- c) 0.222 kg
- d) 0.233 kg
- e) 0.244 kg

### 160419 calc second lab-v2s9

1. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

3. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

4. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
___ a) 0.608 kg
___ b) 0.638 kg
___ c) 0.670 kg
___ d) 0.703 kg
___ e) 0.739 kg

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

6. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.97 m
___ d) 2.11 m
___ e) 2.26 m

#### Key to 160419 calc second lab-v2s9

1. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

3. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

4. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
+ e) 0.739 kg

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

6. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
+ c) 1.97 m
- d) 2.11 m
- e) 2.26 m

### 160419 calc second lab-v1s10

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

2. The spring constant is 594N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.66m, before coming to rest?
___ a) 1.268 kg
___ b) 1.331 kg
___ c) 1.397 kg
___ d) 1.467 kg
___ e) 1.541 kg

3. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
___ a) 1.79 m
___ b) 1.92 m
___ c) 2.05 m
___ d) 2.20 m
___ e) 2.35 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

6. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

#### Key to 160419 calc second lab-v1s10

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

2. The spring constant is 594N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.66m, before coming to rest?
- a) 1.268 kg
+ b) 1.331 kg
- c) 1.397 kg
- d) 1.467 kg
- e) 1.541 kg

3. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
- a) 1.79 m
- b) 1.92 m
+ c) 2.05 m
- d) 2.20 m
- e) 2.35 m

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

6. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

### 160419 calc second lab-v2s10

1. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

2. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

3. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

5. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

#### Key to 160419 calc second lab-v2s10

1. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

2. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

3. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

5. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

### 160419 calc second lab-v1s11

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

___a) 23.4 N.
___b) 27 N.
___c) 31 N.
___d) 35.7 N.
___e) 41 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

4. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

5. The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?
___ a) 1.312 kg
___ b) 1.377 kg
___ c) 1.446 kg
___ d) 1.518 kg
___ e) 1.594 kg

6. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.5 N.
___b) 14.3 N.
___c) 16.5 N.
___d) 19 N.
___e) 21.8 N.

#### Key to 160419 calc second lab-v1s11

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.
-b) 27 N.
-c) 31 N.
-d) 35.7 N.
+e) 41 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

3. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

4. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

5. The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?
- a) 1.312 kg
- b) 1.377 kg
- c) 1.446 kg
- d) 1.518 kg
+ e) 1.594 kg

6. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.5 N.
-b) 14.3 N.
+c) 16.5 N.
-d) 19 N.
-e) 21.8 N.

### 160419 calc second lab-v2s11

1. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
___ a) 2.39 m
___ b) 2.56 m
___ c) 2.74 m
___ d) 2.93 m
___ e) 3.14 m

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

3. A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.4 m/s2.
___b) 7.3 m/s2.
___c) 8.4 m/s2.
___d) 9.7 m/s2.
___e) 11.1 m/s2.

4. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

5. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

6. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

#### Key to 160419 calc second lab-v2s11

1. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
- a) 2.39 m
- b) 2.56 m
- c) 2.74 m
+ d) 2.93 m
- e) 3.14 m

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

3. A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.4 m/s2.
-b) 7.3 m/s2.
-c) 8.4 m/s2.
-d) 9.7 m/s2.
+e) 11.1 m/s2.

4. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

5. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

6. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

### 160419 calc second lab-v1s12

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

2. The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?
___ a) 0.307 kg
___ b) 0.322 kg
___ c) 0.338 kg
___ d) 0.355 kg
___ e) 0.373 kg

3. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

4. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

5. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.97 m
___ d) 2.11 m
___ e) 2.26 m

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

#### Key to 160419 calc second lab-v1s12

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

2. The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?
- a) 0.307 kg
- b) 0.322 kg
- c) 0.338 kg
+ d) 0.355 kg
- e) 0.373 kg

3. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

4. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

5. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
+ c) 1.97 m
- d) 2.11 m
- e) 2.26 m

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

### 160419 calc second lab-v2s12

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

3. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

5. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
___ a) 1.79 m
___ b) 1.92 m
___ c) 2.05 m
___ d) 2.20 m
___ e) 2.35 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

#### Key to 160419 calc second lab-v2s12

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

3. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

4. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

5. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
- a) 1.79 m
- b) 1.92 m
+ c) 2.05 m
- d) 2.20 m
- e) 2.35 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

### 160419 calc second lab-v1s13

1. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

3. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
___ a) 0.401 kg
___ b) 0.421 kg
___ c) 0.442 kg
___ d) 0.464 kg
___ e) 0.487 kg

4. The cart has a mass of 42.30kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.52m. If the spring constant was 499N/m, what was the initial compression?
___ a) 2.09 m
___ b) 2.24 m
___ c) 2.39 m
___ d) 2.56 m
___ e) 2.74 m

5. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

6. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

___a) 23.4 N.
___b) 27 N.
___c) 31 N.
___d) 35.7 N.
___e) 41 N.

#### Key to 160419 calc second lab-v1s13

1. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

3. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
- a) 0.401 kg
- b) 0.421 kg
+ c) 0.442 kg
- d) 0.464 kg
- e) 0.487 kg

4. The cart has a mass of 42.30kg. It is moving at a speed of 3.10m/s, when it is at a height of 2.52m. If the spring constant was 499N/m, what was the initial compression?
- a) 2.09 m
+ b) 2.24 m
- c) 2.39 m
- d) 2.56 m
- e) 2.74 m

5. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

6. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.
-b) 27 N.
-c) 31 N.
-d) 35.7 N.
+e) 41 N.

### 160419 calc second lab-v2s13

1. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 22.7 N.
___b) 26.1 N.
___c) 30 N.
___d) 34.5 N.
___e) 39.7 N.

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
___ a) 1.143 kg
___ b) 1.200 kg
___ c) 1.260 kg
___ d) 1.323 kg
___ e) 1.389 kg

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

6. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

#### Key to 160419 calc second lab-v2s13

1. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 22.7 N.
+b) 26.1 N.
-c) 30 N.
-d) 34.5 N.
-e) 39.7 N.

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
+ a) 1.143 kg
- b) 1.200 kg
- c) 1.260 kg
- d) 1.323 kg
- e) 1.389 kg

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

6. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

### 160419 calc second lab-v1s14

1. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

2. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

3. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
___ a) 1.92 m
___ b) 2.06 m
___ c) 2.20 m
___ d) 2.35 m
___ e) 2.52 m

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

5. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

6. The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?
___ a) 0.714 kg
___ b) 0.750 kg
___ c) 0.787 kg
___ d) 0.826 kg
___ e) 0.868 kg

#### Key to 160419 calc second lab-v1s14

1. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

2. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

3. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
+ a) 1.92 m
- b) 2.06 m
- c) 2.20 m
- d) 2.35 m
- e) 2.52 m

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

5. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

6. The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?
- a) 0.714 kg
- b) 0.750 kg
- c) 0.787 kg
+ d) 0.826 kg
- e) 0.868 kg

### 160419 calc second lab-v2s14

1. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.46 m
___ b) 2.63 m
___ c) 2.81 m
___ d) 3.01 m
___ e) 3.22 m

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

3. The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?
___ a) 0.714 kg
___ b) 0.750 kg
___ c) 0.787 kg
___ d) 0.826 kg
___ e) 0.868 kg

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

5. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

#### Key to 160419 calc second lab-v2s14

1. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.46 m
- b) 2.63 m
- c) 2.81 m
- d) 3.01 m
- e) 3.22 m

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

3. The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?
- a) 0.714 kg
- b) 0.750 kg
- c) 0.787 kg
+ d) 0.826 kg
- e) 0.868 kg

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

5. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

### 160419 calc second lab-v1s15

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

3. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

4. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
___ a) 1.85 m
___ b) 1.98 m
___ c) 2.12 m
___ d) 2.27 m
___ e) 2.43 m

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

6. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 22.7 N.
___b) 26.1 N.
___c) 30 N.
___d) 34.5 N.
___e) 39.7 N.

#### Key to 160419 calc second lab-v1s15

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

3. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

4. The cart has a mass of 48.30kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.61m. If the spring constant was 699N/m, what was the initial compression?
- a) 1.85 m
- b) 1.98 m
- c) 2.12 m
- d) 2.27 m
+ e) 2.43 m

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

6. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 22.7 N.
+b) 26.1 N.
-c) 30 N.
-d) 34.5 N.
-e) 39.7 N.

### 160419 calc second lab-v2s15

1. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
___ a) 2.30 m
___ b) 2.46 m
___ c) 2.63 m
___ d) 2.82 m
___ e) 3.02 m

2. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
___ a) 1.053 kg
___ b) 1.106 kg
___ c) 1.161 kg
___ d) 1.219 kg
___ e) 1.280 kg

3. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

4. A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.4 m/s2.
___b) 7.3 m/s2.
___c) 8.4 m/s2.
___d) 9.7 m/s2.
___e) 11.1 m/s2.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

#### Key to 160419 calc second lab-v2s15

1. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

2. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
- a) 1.053 kg
- b) 1.106 kg
- c) 1.161 kg
- d) 1.219 kg
+ e) 1.280 kg

3. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

4. A 3.8 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.6 . In addition to the surface friction, there is also an air drag equal to 20 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.4 m/s2.
-b) 7.3 m/s2.
-c) 8.4 m/s2.
-d) 9.7 m/s2.
+e) 11.1 m/s2.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

### 160419 calc second lab-v1s16

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

2. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

5. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
___ a) 0.201 kg
___ b) 0.211 kg
___ c) 0.222 kg
___ d) 0.233 kg
___ e) 0.244 kg

6. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 22.7 N.
___b) 26.1 N.
___c) 30 N.
___d) 34.5 N.
___e) 39.7 N.

#### Key to 160419 calc second lab-v1s16

1. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

2. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

5. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
+ a) 0.201 kg
- b) 0.211 kg
- c) 0.222 kg
- d) 0.233 kg
- e) 0.244 kg

6. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 22.7 N.
+b) 26.1 N.
-c) 30 N.
-d) 34.5 N.
-e) 39.7 N.

### 160419 calc second lab-v2s16

1. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

2. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

3. The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?
___ a) 0.494 kg
___ b) 0.519 kg
___ c) 0.544 kg
___ d) 0.572 kg
___ e) 0.600 kg

4. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

___a) 6.9 m/s2.
___b) 8 m/s2.
___c) 9.2 m/s2.
___d) 10.6 m/s2.
___e) 12.1 m/s2.

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

#### Key to 160419 calc second lab-v2s16

1. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

2. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

3. The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?
- a) 0.494 kg
- b) 0.519 kg
+ c) 0.544 kg
- d) 0.572 kg
- e) 0.600 kg

4. A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s2.
-b) 8 m/s2.
-c) 9.2 m/s2.
-d) 10.6 m/s2.
+e) 12.1 m/s2.

5. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

### 160419 calc second lab-v1s17

1. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

2. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
___ a) 0.421 kg
___ b) 0.442 kg
___ c) 0.465 kg
___ d) 0.488 kg
___ e) 0.512 kg

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

4. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.97 m
___ d) 2.11 m
___ e) 2.26 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

6. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

#### Key to 160419 calc second lab-v1s17

1. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

2. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
+ a) 0.421 kg
- b) 0.442 kg
- c) 0.465 kg
- d) 0.488 kg
- e) 0.512 kg

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

4. The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
+ c) 1.97 m
- d) 2.11 m
- e) 2.26 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

6. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

### 160419 calc second lab-v2s17

1. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 22.7 N.
___b) 26.1 N.
___c) 30 N.
___d) 34.5 N.
___e) 39.7 N.

2. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

3. The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?
___ a) 0.307 kg
___ b) 0.322 kg
___ c) 0.338 kg
___ d) 0.355 kg
___ e) 0.373 kg

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

5. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

6. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
___ a) 1.46 m
___ b) 1.56 m
___ c) 1.67 m
___ d) 1.79 m
___ e) 1.92 m

#### Key to 160419 calc second lab-v2s17

1. A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 22.7 N.
+b) 26.1 N.
-c) 30 N.
-d) 34.5 N.
-e) 39.7 N.

2. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

3. The spring constant is 640N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.07m, before coming to rest?
- a) 0.307 kg
- b) 0.322 kg
- c) 0.338 kg
+ d) 0.355 kg
- e) 0.373 kg

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

5. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

6. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
- a) 1.46 m
- b) 1.56 m
- c) 1.67 m
- d) 1.79 m
+ e) 1.92 m

### 160419 calc second lab-v1s18

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

2. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

4. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
___ a) 0.421 kg
___ b) 0.442 kg
___ c) 0.465 kg
___ d) 0.488 kg
___ e) 0.512 kg

5. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
___ a) 1.68 m
___ b) 1.79 m
___ c) 1.92 m
___ d) 2.05 m
___ e) 2.20 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

#### Key to 160419 calc second lab-v1s18

1. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

2. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

4. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
+ a) 0.421 kg
- b) 0.442 kg
- c) 0.465 kg
- d) 0.488 kg
- e) 0.512 kg

5. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
- a) 1.68 m
- b) 1.79 m
- c) 1.92 m
+ d) 2.05 m
- e) 2.20 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

### 160419 calc second lab-v2s18

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

2. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

4. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

6. A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

___a) 9.2 m/s2.
___b) 10.5 m/s2.
___c) 12.1 m/s2.
___d) 13.9 m/s2.
___e) 16 m/s2.

#### Key to 160419 calc second lab-v2s18

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

2. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

4. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

6. A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

+a) 9.2 m/s2.
-b) 10.5 m/s2.
-c) 12.1 m/s2.
-d) 13.9 m/s2.
-e) 16 m/s2.

### 160419 calc second lab-v1s19

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

3. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

4. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

5. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

6. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
___ a) 0.559 kg
___ b) 0.587 kg
___ c) 0.617 kg
___ d) 0.648 kg
___ e) 0.680 kg

#### Key to 160419 calc second lab-v1s19

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

3. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

4. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

5. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

6. The spring constant is 720N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.95m, before coming to rest?
- a) 0.559 kg
- b) 0.587 kg
- c) 0.617 kg
- d) 0.648 kg
+ e) 0.680 kg

### 160419 calc second lab-v2s19

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

3. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.5 N.
___b) 14.3 N.
___c) 16.5 N.
___d) 19 N.
___e) 21.8 N.

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
___ a) 2.30 m
___ b) 2.46 m
___ c) 2.63 m
___ d) 2.82 m
___ e) 3.02 m

5. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.1
___b) 0.12
___c) 0.14
___d) 0.17
___e) 0.2

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

#### Key to 160419 calc second lab-v2s19

1. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

3. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.5 N.
-b) 14.3 N.
+c) 16.5 N.
-d) 19 N.
-e) 21.8 N.

4. The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?
+ a) 2.30 m
- b) 2.46 m
- c) 2.63 m
- d) 2.82 m
- e) 3.02 m

5. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1
-b) 0.12
-c) 0.14
-d) 0.17
+e) 0.2

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

### 160419 calc second lab-v1s20

1. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
___ a) 1.78 m
___ b) 1.90 m
___ c) 2.03 m
___ d) 2.18 m
___ e) 2.33 m

2. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

4. The spring constant is 682N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 1.47m, before coming to rest?
___ a) 1.044 kg
___ b) 1.096 kg
___ c) 1.151 kg
___ d) 1.208 kg
___ e) 1.269 kg

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

#### Key to 160419 calc second lab-v1s20

1. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
- a) 1.78 m
- b) 1.90 m
- c) 2.03 m
- d) 2.18 m
+ e) 2.33 m

2. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

3. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

4. The spring constant is 682N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 1.47m, before coming to rest?
+ a) 1.044 kg
- b) 1.096 kg
- c) 1.151 kg
- d) 1.208 kg
- e) 1.269 kg

5. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

### 160419 calc second lab-v2s20

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

2. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
___ a) 1.143 kg
___ b) 1.200 kg
___ c) 1.260 kg
___ d) 1.323 kg
___ e) 1.389 kg

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
___ a) 1.83 m
___ b) 1.96 m
___ c) 2.10 m
___ d) 2.24 m
___ e) 2.40 m

4. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

6. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

#### Key to 160419 calc second lab-v2s20

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

2. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
+ a) 1.143 kg
- b) 1.200 kg
- c) 1.260 kg
- d) 1.323 kg
- e) 1.389 kg

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
- a) 1.83 m
+ b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

4. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

5. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

6. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

### 160419 calc second lab-v1s21

1. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

2. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.47 m
___ b) 2.65 m
___ c) 2.83 m
___ d) 3.03 m
___ e) 3.24 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

5. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

6. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
___ a) 1.143 kg
___ b) 1.200 kg
___ c) 1.260 kg
___ d) 1.323 kg
___ e) 1.389 kg

#### Key to 160419 calc second lab-v1s21

1. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

2. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.47 m
- b) 2.65 m
- c) 2.83 m
- d) 3.03 m
- e) 3.24 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

4. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

5. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

6. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
+ a) 1.143 kg
- b) 1.200 kg
- c) 1.260 kg
- d) 1.323 kg
- e) 1.389 kg

### 160419 calc second lab-v2s21

1. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

2. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

3. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.2 m/s2.
___b) 8.3 m/s2.
___c) 9.5 m/s2.
___d) 11 m/s2.
___e) 12.6 m/s2.

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

5. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.1
___b) 0.12
___c) 0.14
___d) 0.17
___e) 0.2

6. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
___ a) 0.750 kg
___ b) 0.788 kg
___ c) 0.827 kg
___ d) 0.868 kg
___ e) 0.912 kg

#### Key to 160419 calc second lab-v2s21

1. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

2. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

3. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.2 m/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

5. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1
-b) 0.12
-c) 0.14
-d) 0.17
+e) 0.2

6. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
- a) 0.750 kg
+ b) 0.788 kg
- c) 0.827 kg
- d) 0.868 kg
- e) 0.912 kg

### 160419 calc second lab-v1s22

1. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

___a) 15.4 N.
___b) 17.7 N.
___c) 20.4 N.
___d) 23.5 N.
___e) 27 N.

2. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
___ a) 0.401 kg
___ b) 0.421 kg
___ c) 0.442 kg
___ d) 0.464 kg
___ e) 0.487 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
___ a) 1.97 m
___ b) 2.11 m
___ c) 2.25 m
___ d) 2.41 m
___ e) 2.58 m

5. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

6. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

#### Key to 160419 calc second lab-v1s22

1. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.
-b) 17.7 N.
+c) 20.4 N.
-d) 23.5 N.
-e) 27 N.

2. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
- a) 0.401 kg
- b) 0.421 kg
+ c) 0.442 kg
- d) 0.464 kg
- e) 0.487 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
- a) 1.97 m
+ b) 2.11 m
- c) 2.25 m
- d) 2.41 m
- e) 2.58 m

5. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

6. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

### 160419 calc second lab-v2s22

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

3. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

4. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

___a) 23.4 N.
___b) 27 N.
___c) 31 N.
___d) 35.7 N.
___e) 41 N.

5. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.47 m
___ b) 2.65 m
___ c) 2.83 m
___ d) 3.03 m
___ e) 3.24 m

6. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

#### Key to 160419 calc second lab-v2s22

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

3. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

4. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.
-b) 27 N.
-c) 31 N.
-d) 35.7 N.
+e) 41 N.

5. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.47 m
- b) 2.65 m
- c) 2.83 m
- d) 3.03 m
- e) 3.24 m

6. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

### 160419 calc second lab-v1s23

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

4. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
___ a) 1.053 kg
___ b) 1.106 kg
___ c) 1.161 kg
___ d) 1.219 kg
___ e) 1.280 kg

5. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
___ a) 1.46 m
___ b) 1.56 m
___ c) 1.67 m
___ d) 1.79 m
___ e) 1.92 m

6. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

#### Key to 160419 calc second lab-v1s23

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

4. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
- a) 1.053 kg
- b) 1.106 kg
- c) 1.161 kg
- d) 1.219 kg
+ e) 1.280 kg

5. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
- a) 1.46 m
- b) 1.56 m
- c) 1.67 m
- d) 1.79 m
+ e) 1.92 m

6. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

### 160419 calc second lab-v2s23

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

2. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
___ a) 1.97 m
___ b) 2.11 m
___ c) 2.25 m
___ d) 2.41 m
___ e) 2.58 m

3. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
___ a) 0.608 kg
___ b) 0.638 kg
___ c) 0.670 kg
___ d) 0.703 kg
___ e) 0.739 kg

4. A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

___a) 9.2 m/s2.
___b) 10.5 m/s2.
___c) 12.1 m/s2.
___d) 13.9 m/s2.
___e) 16 m/s2.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

6. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

#### Key to 160419 calc second lab-v2s23

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

2. The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?
- a) 1.97 m
+ b) 2.11 m
- c) 2.25 m
- d) 2.41 m
- e) 2.58 m

3. The spring constant is 608N/m, and the initial compression is 0.20m. What is the mass if the cart reaches a height of 1.68m, before coming to rest?
- a) 0.608 kg
- b) 0.638 kg
- c) 0.670 kg
- d) 0.703 kg
+ e) 0.739 kg

4. A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

+a) 9.2 m/s2.
-b) 10.5 m/s2.
-c) 12.1 m/s2.
-d) 13.9 m/s2.
-e) 16 m/s2.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

6. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

### 160419 calc second lab-v1s24

1. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

2. The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?
___ a) 1.312 kg
___ b) 1.377 kg
___ c) 1.446 kg
___ d) 1.518 kg
___ e) 1.594 kg

3. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

___a) 6.6 N.
___b) 7.6 N.
___c) 8.7 N.
___d) 10 N.
___e) 11.5 N.

4. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
___ a) 1.23 m
___ b) 1.32 m
___ c) 1.41 m
___ d) 1.51 m
___ e) 1.62 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

6. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

#### Key to 160419 calc second lab-v1s24

1. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

2. The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?
- a) 1.312 kg
- b) 1.377 kg
- c) 1.446 kg
- d) 1.518 kg
+ e) 1.594 kg

3. A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.
-b) 7.6 N.
-c) 8.7 N.
-d) 10 N.
+e) 11.5 N.

4. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
- a) 1.23 m
- b) 1.32 m
- c) 1.41 m
+ d) 1.51 m
- e) 1.62 m

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

6. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

### 160419 calc second lab-v2s24

1. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

3. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

5. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
___ a) 2.00 m
___ b) 2.14 m
___ c) 2.29 m
___ d) 2.45 m
___ e) 2.62 m

6. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
___ a) 1.143 kg
___ b) 1.200 kg
___ c) 1.260 kg
___ d) 1.323 kg
___ e) 1.389 kg

#### Key to 160419 calc second lab-v2s24

1. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

3. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

4. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

5. The cart has a mass of 36.10kg. It is moving at a speed of 3.70m/s, when it is at a height of 3.05m. If the spring constant was 665N/m, what was the initial compression?
+ a) 2.00 m
- b) 2.14 m
- c) 2.29 m
- d) 2.45 m
- e) 2.62 m

6. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
+ a) 1.143 kg
- b) 1.200 kg
- c) 1.260 kg
- d) 1.323 kg
- e) 1.389 kg

### 160419 calc second lab-v1s25

1. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

___a) 15.4 N.
___b) 17.7 N.
___c) 20.4 N.
___d) 23.5 N.
___e) 27 N.

2. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
___ a) 1.92 m
___ b) 2.06 m
___ c) 2.20 m
___ d) 2.35 m
___ e) 2.52 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

4. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.7
___b) 0.84
___c) 1.01
___d) 1.21
___e) 1.45

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

6. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

#### Key to 160419 calc second lab-v1s25

1. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.
-b) 17.7 N.
+c) 20.4 N.
-d) 23.5 N.
-e) 27 N.

2. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
+ a) 1.92 m
- b) 2.06 m
- c) 2.20 m
- d) 2.35 m
- e) 2.52 m

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

4. A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7
-b) 0.84
-c) 1.01
-d) 1.21
-e) 1.45

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

6. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

### 160419 calc second lab-v2s25

1. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.38
___b) 0.46
___c) 0.55
___d) 0.66
___e) 0.79

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

___a) 11.2 N.
___b) 12.9 N.
___c) 14.8 N.
___d) 17 N.
___e) 19.6 N.

4. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

___a) 15.4 N.
___b) 17.7 N.
___c) 20.4 N.
___d) 23.5 N.
___e) 27 N.

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

6. The cart has a mass of 36.30kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.33m. If the spring constant was 677N/m, what was the initial compression?
___ a) 1.69 m
___ b) 1.81 m
___ c) 1.93 m
___ d) 2.07 m
___ e) 2.21 m

#### Key to 160419 calc second lab-v2s25

1. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.38
+b) 0.46
-c) 0.55
-d) 0.66
-e) 0.79

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 40 degrees. What is the tension in the string?

-a) 11.2 N.
-b) 12.9 N.
-c) 14.8 N.
+d) 17 N.
-e) 19.6 N.

4. A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.
-b) 17.7 N.
+c) 20.4 N.
-d) 23.5 N.
-e) 27 N.

5. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

6. The cart has a mass of 36.30kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.33m. If the spring constant was 677N/m, what was the initial compression?
- a) 1.69 m
- b) 1.81 m
+ c) 1.93 m
- d) 2.07 m
- e) 2.21 m

### 160419 calc second lab-v1s26

1. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

2. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
___ a) 1.78 m
___ b) 1.90 m
___ c) 2.03 m
___ d) 2.18 m
___ e) 2.33 m

3. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.5 N.
___b) 14.3 N.
___c) 16.5 N.
___d) 19 N.
___e) 21.8 N.

4. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

5. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19
___b) 0.23
___c) 0.27
___d) 0.33
___e) 0.39

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

#### Key to 160419 calc second lab-v1s26

1. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

2. The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?
- a) 1.78 m
- b) 1.90 m
- c) 2.03 m
- d) 2.18 m
+ e) 2.33 m

3. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.5 N.
-b) 14.3 N.
+c) 16.5 N.
-d) 19 N.
-e) 21.8 N.

4. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

5. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19
-b) 0.23
-c) 0.27
-d) 0.33
+e) 0.39

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

### 160419 calc second lab-v2s26

1. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
___ a) 1.79 m
___ b) 1.92 m
___ c) 2.05 m
___ d) 2.20 m
___ e) 2.35 m

2. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

3. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

4. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

5. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

___a) 15 N.
___b) 17.3 N.
___c) 19.8 N.
___d) 22.8 N.
___e) 26.2 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

#### Key to 160419 calc second lab-v2s26

1. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
- a) 1.79 m
- b) 1.92 m
+ c) 2.05 m
- d) 2.20 m
- e) 2.35 m

2. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

3. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

4. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

5. A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.
-b) 17.3 N.
-c) 19.8 N.
+d) 22.8 N.
-e) 26.2 N.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

### 160419 calc second lab-v1s27

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

___a) 21.3 N.
___b) 24.5 N.
___c) 28.2 N.
___d) 32.4 N.
___e) 37.3 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

3. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.
___b) 31.6 N.
___c) 36.4 N.
___d) 41.8 N.
___e) 48.1 N.

4. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
___ a) 1.443 kg
___ b) 1.515 kg
___ c) 1.591 kg
___ d) 1.671 kg
___ e) 1.754 kg

5. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

6. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
___ a) 1.72 m
___ b) 1.84 m
___ c) 1.96 m
___ d) 2.10 m
___ e) 2.25 m

#### Key to 160419 calc second lab-v1s27

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 59 degrees with respect to the horizontal. What is the tension in each string?

-a) 21.3 N.
+b) 24.5 N.
-c) 28.2 N.
-d) 32.4 N.
-e) 37.3 N.

2. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

3. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.
-b) 31.6 N.
-c) 36.4 N.
-d) 41.8 N.
-e) 48.1 N.

4. The spring constant is 539N/m, and the initial compression is 0.27m. What is the mass if the cart reaches a height of 1.20m, before coming to rest?
- a) 1.443 kg
- b) 1.515 kg
- c) 1.591 kg
+ d) 1.671 kg
- e) 1.754 kg

5. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

6. The cart has a mass of 36.60kg. It is moving at a speed of 2.60m/s, when it is at a height of 3.45m. If the spring constant was 616N/m, what was the initial compression?
- a) 1.72 m
- b) 1.84 m
- c) 1.96 m
+ d) 2.10 m
- e) 2.25 m

### 160419 calc second lab-v2s27

1. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.1
___b) 0.12
___c) 0.14
___d) 0.17
___e) 0.2

2. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
___ a) 0.401 kg
___ b) 0.421 kg
___ c) 0.442 kg
___ d) 0.464 kg
___ e) 0.487 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

5. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
___ a) 2.39 m
___ b) 2.56 m
___ c) 2.74 m
___ d) 2.93 m
___ e) 3.14 m

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

#### Key to 160419 calc second lab-v2s27

1. A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1
-b) 0.12
-c) 0.14
-d) 0.17
+e) 0.2

2. The spring constant is 612N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 1.59m, before coming to rest?
- a) 0.401 kg
- b) 0.421 kg
+ c) 0.442 kg
- d) 0.464 kg
- e) 0.487 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

5. The cart has a mass of 46.40kg. It is moving at a speed of 3.80m/s, when it is at a height of 3.99m. If the spring constant was 500N/m, what was the initial compression?
- a) 2.39 m
- b) 2.56 m
- c) 2.74 m
+ d) 2.93 m
- e) 3.14 m

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

### 160419 calc second lab-v1s28

1. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.47 m
___ b) 2.65 m
___ c) 2.83 m
___ d) 3.03 m
___ e) 3.24 m

2. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
___ a) 0.282 kg
___ b) 0.296 kg
___ c) 0.311 kg
___ d) 0.327 kg
___ e) 0.343 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.149 m/s
___ b) 1.218 m/s
___ c) 1.291 m/s
___ d) 1.368 m/s
___ e) 1.450 m/s

4. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.2 m/s2.
___b) 8.3 m/s2.
___c) 9.5 m/s2.
___d) 11 m/s2.
___e) 12.6 m/s2.

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

#### Key to 160419 calc second lab-v1s28

1. The cart has a mass of 40.30kg. It is moving at a speed of 3.40m/s, when it is at a height of 3.59m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.47 m
- b) 2.65 m
- c) 2.83 m
- d) 3.03 m
- e) 3.24 m

2. The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?
- a) 0.282 kg
- b) 0.296 kg
+ c) 0.311 kg
- d) 0.327 kg
- e) 0.343 kg

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.149 m/s
- b) 1.218 m/s
+ c) 1.291 m/s
- d) 1.368 m/s
- e) 1.450 m/s

4. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.2 m/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

5. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

6. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

### 160419 calc second lab-v2s28

1. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
___ a) 0.750 kg
___ b) 0.788 kg
___ c) 0.827 kg
___ d) 0.868 kg
___ e) 0.912 kg

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.8 N.
___b) 14.8 N.
___c) 17 N.
___d) 19.5 N.
___e) 22.5 N.

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

5. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
___ a) 1.79 m
___ b) 1.92 m
___ c) 2.05 m
___ d) 2.20 m
___ e) 2.35 m

6. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

#### Key to 160419 calc second lab-v2s28

1. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
- a) 0.750 kg
+ b) 0.788 kg
- c) 0.827 kg
- d) 0.868 kg
- e) 0.912 kg

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

3. A mass with weight (mg) of 32 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.8 N.
-b) 14.8 N.
-c) 17 N.
+d) 19.5 N.
-e) 22.5 N.

4. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

5. The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?
- a) 1.79 m
- b) 1.92 m
+ c) 2.05 m
- d) 2.20 m
- e) 2.35 m

6. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

### 160419 calc second lab-v1s29

1. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
___ a) 1.92 m
___ b) 2.06 m
___ c) 2.20 m
___ d) 2.35 m
___ e) 2.52 m

2. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

___a) 22.1 N.
___b) 25.4 N.
___c) 29.2 N.
___d) 33.6 N.
___e) 38.6 N.

3. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
___ a) 1.053 kg
___ b) 1.106 kg
___ c) 1.161 kg
___ d) 1.219 kg
___ e) 1.280 kg

4. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.38
___b) 0.46
___c) 0.55
___d) 0.66
___e) 0.79

5. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.291 m/s
___ b) 1.368 m/s
___ c) 1.450 m/s
___ d) 1.537 m/s
___ e) 1.630 m/s

#### Key to 160419 calc second lab-v1s29

1. The cart has a mass of 35.20kg. It is moving at a speed of 3.50m/s, when it is at a height of 2.34m. If the spring constant was 554N/m, what was the initial compression?
+ a) 1.92 m
- b) 2.06 m
- c) 2.20 m
- d) 2.35 m
- e) 2.52 m

2. A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.
-b) 25.4 N.
-c) 29.2 N.
-d) 33.6 N.
-e) 38.6 N.

3. The spring constant is 623N/m, and the initial compression is 0.24m. What is the mass if the cart reaches a height of 1.43m, before coming to rest?
- a) 1.053 kg
- b) 1.106 kg
- c) 1.161 kg
- d) 1.219 kg
+ e) 1.280 kg

4. A mass with weight (mg) 10.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.53 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.38
+b) 0.46
-c) 0.55
-d) 0.66
-e) 0.79

5. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+ a) 1.291 m/s
- b) 1.368 m/s
- c) 1.450 m/s
- d) 1.537 m/s
- e) 1.630 m/s

### 160419 calc second lab-v2s29

1. The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
___ a) 0.225 kg
___ b) 0.236 kg
___ c) 0.248 kg
___ d) 0.260 kg
___ e) 0.273 kg

2. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.3 m/s2.
___b) 8.4 m/s2.
___c) 9.7 m/s2.
___d) 11.1 m/s2.
___e) 12.8 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

4. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

___a) 12.5 N.
___b) 14.3 N.
___c) 16.5 N.
___d) 19 N.
___e) 21.8 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

6. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
___ a) 1.68 m
___ b) 1.79 m
___ c) 1.92 m
___ d) 2.05 m
___ e) 2.20 m

#### Key to 160419 calc second lab-v2s29

1. The spring constant is 676N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.73m, before coming to rest?
- a) 0.225 kg
- b) 0.236 kg
+ c) 0.248 kg
- d) 0.260 kg
- e) 0.273 kg

2. A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s2.
+b) 8.4 m/s2.
-c) 9.7 m/s2.
-d) 11.1 m/s2.
-e) 12.8 m/s2.

3. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

4. A mass with weight (mg) of 27 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 70 degrees. What is the tension in the string?

-a) 12.5 N.
-b) 14.3 N.
+c) 16.5 N.
-d) 19 N.
-e) 21.8 N.

5. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

6. The cart has a mass of 37.60kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.74m. If the spring constant was 534N/m, what was the initial compression?
- a) 1.68 m
- b) 1.79 m
- c) 1.92 m
+ d) 2.05 m
- e) 2.20 m

### 160419 calc second lab-v1s30

1. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
___ a) 0.201 kg
___ b) 0.211 kg
___ c) 0.222 kg
___ d) 0.233 kg
___ e) 0.244 kg

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

4. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
___ a) 1.83 m
___ b) 1.96 m
___ c) 2.10 m
___ d) 2.24 m
___ e) 2.40 m

5. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

___a) 14.5 N.
___b) 16.7 N.
___c) 19.2 N.
___d) 22.1 N.
___e) 25.4 N.

6. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.12
___b) 0.14
___c) 0.17
___d) 0.21
___e) 0.25

#### Key to 160419 calc second lab-v1s30

1. The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?
+ a) 0.201 kg
- b) 0.211 kg
- c) 0.222 kg
- d) 0.233 kg
- e) 0.244 kg

2. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

4. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
- a) 1.83 m
+ b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

5. A mass with weight (mg) equal to 44 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 60 degrees with respect to the horizontal. What is the tension in each string?

-a) 14.5 N.
-b) 16.7 N.
-c) 19.2 N.
-d) 22.1 N.
+e) 25.4 N.

6. A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12
-b) 0.14
-c) 0.17
-d) 0.21
+e) 0.25

### 160419 calc second lab-v2s30

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.084 m/s
___ b) 1.149 m/s
___ c) 1.218 m/s
___ d) 1.291 m/s
___ e) 1.368 m/s

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.
___b) 11.4 N.
___c) 13.1 N.
___d) 15.1 N.
___e) 17.3 N.

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
___ a) 1.83 m
___ b) 1.96 m
___ c) 2.10 m
___ d) 2.24 m
___ e) 2.40 m

4. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
___ a) 0.187 kg
___ b) 0.196 kg
___ c) 0.206 kg
___ d) 0.217 kg
___ e) 0.227 kg

5. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

6. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

___a) 4.6 m/s2.
___b) 5.3 m/s2.
___c) 6.1 m/s2.
___d) 7 m/s2.
___e) 8.1 m/s2.

#### Key to 160419 calc second lab-v2s30

1. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.084 m/s
- b) 1.149 m/s
- c) 1.218 m/s
+ d) 1.291 m/s
- e) 1.368 m/s

2. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

-a) 9.9 N.
-b) 11.4 N.
-c) 13.1 N.
-d) 15.1 N.
+e) 17.3 N.

3. The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?
- a) 1.83 m
+ b) 1.96 m
- c) 2.10 m
- d) 2.24 m
- e) 2.40 m

4. The spring constant is 621N/m, and the initial compression is 0.14m. What is the mass if the cart reaches a height of 3.01m, before coming to rest?
- a) 0.187 kg
- b) 0.196 kg
+ c) 0.206 kg
- d) 0.217 kg
- e) 0.227 kg

5. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

6. A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s2.
-b) 5.3 m/s2.
-c) 6.1 m/s2.
-d) 7 m/s2.
+e) 8.1 m/s2.

### 160419 calc second lab-v1s31

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

___a) 27.4 N.
___b) 31.5 N.
___c) 36.2 N.
___d) 41.7 N.
___e) 47.9 N.

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.52
___b) 0.63
___c) 0.76
___d) 0.91
___e) 1.09

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

4. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
___ a) 0.750 kg
___ b) 0.788 kg
___ c) 0.827 kg
___ d) 0.868 kg
___ e) 0.912 kg

5. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
___ a) 1.46 m
___ b) 1.56 m
___ c) 1.67 m
___ d) 1.79 m
___ e) 1.92 m

6. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

___a) 7.2 m/s2.
___b) 8.3 m/s2.
___c) 9.5 m/s2.
___d) 11 m/s2.
___e) 12.6 m/s2.

#### Key to 160419 calc second lab-v1s31

1. A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.
-b) 31.5 N.
-c) 36.2 N.
-d) 41.7 N.
+e) 47.9 N.

2. A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52
+b) 0.63
-c) 0.76
-d) 0.91
-e) 1.09

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

4. The spring constant is 620N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.45m, before coming to rest?
- a) 0.750 kg
+ b) 0.788 kg
- c) 0.827 kg
- d) 0.868 kg
- e) 0.912 kg

5. The cart has a mass of 42.40kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.08m. If the spring constant was 522N/m, what was the initial compression?
- a) 1.46 m
- b) 1.56 m
- c) 1.67 m
- d) 1.79 m
+ e) 1.92 m

6. A 2.3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 16 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.2 m/s2.
-b) 8.3 m/s2.
-c) 9.5 m/s2.
+d) 11 m/s2.
-e) 12.6 m/s2.

### 160419 calc second lab-v2s31

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

___a) 23.4 N.
___b) 27 N.
___c) 31 N.
___d) 35.7 N.
___e) 41 N.

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.44
___b) 0.53
___c) 0.64
___d) 0.76
___e) 0.92

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.218 m/s
___ b) 1.291 m/s
___ c) 1.368 m/s
___ d) 1.450 m/s
___ e) 1.537 m/s

4. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

___a) 8.2 m/s2.
___b) 9.4 m/s2.
___c) 10.8 m/s2.
___d) 12.4 m/s2.
___e) 14.3 m/s2.

5. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
___ a) 0.421 kg
___ b) 0.442 kg
___ c) 0.465 kg
___ d) 0.488 kg
___ e) 0.512 kg

6. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
___ a) 1.23 m
___ b) 1.32 m
___ c) 1.41 m
___ d) 1.51 m
___ e) 1.62 m

#### Key to 160419 calc second lab-v2s31

1. A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.
-b) 27 N.
-c) 31 N.
-d) 35.7 N.
+e) 41 N.

2. A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44
+b) 0.53
-c) 0.64
-d) 0.76
-e) 0.92

3. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.218 m/s
+ b) 1.291 m/s
- c) 1.368 m/s
- d) 1.450 m/s
- e) 1.537 m/s

4. A 3.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.29 . In addition to the surface friction, there is also an air drag equal to 21 N. What is the magnitude (absolute value) of the acceleration?

-a) 8.2 m/s2.
+b) 9.4 m/s2.
-c) 10.8 m/s2.
-d) 12.4 m/s2.
-e) 14.3 m/s2.

5. The spring constant is 752N/m, and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.95m, before coming to rest?
+ a) 0.421 kg
- b) 0.442 kg
- c) 0.465 kg
- d) 0.488 kg
- e) 0.512 kg

6. The cart has a mass of 31.20kg. It is moving at a speed of 2.50m/s, when it is at a height of 2.10m. If the spring constant was 649N/m, what was the initial compression?
- a) 1.23 m
- b) 1.32 m
- c) 1.41 m
+ d) 1.51 m
- e) 1.62 m