# User:Guy vandegrift/Quizbank/Archive1/Sample calc2 T2

## Contents

### pc1:T2:V1

pc120161220T142002
1)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) No
b) Yes

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) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.277
b) 0.305
c) 0.335
d) 0.369
e) 0.406
4)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes
b) No

5) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 40.3N at an angle of 43 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

a) 1.27 s
b) 1.46 s
c) 1.68 s
d) 1.93 s
e) 2.22 s

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.
7)
In the figure shown (with m1 = 7 kg, m2 = 3.6 kg, and Fext = 153 N), what is the acceleration? Assume no friction is present.
a) 12.6 m/s2
b) 14.4 m/s2
c) 16.6 m/s2
d) 19.1 m/s2
e) 22 m/s2

8) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s2?

a) 36.3 degrees
b) 41.7 degrees
c) 47.9 degrees
d) 55.1 degrees
e) 63.4 degrees
9)
In the figure shown, θ1 is 15 degrees, and θ3 is 37 degrees. The tension T3 is 22 N. What is the tension, T1?
a) 11.96 N.
b) 13.75 N.
c) 15.82 N.
d) 18.19 N.
e) 20.92 N.
10)
In the figure shown, θ1 is 20 degrees , and θ3 is 37 degrees . The mass has a weight of 41 N. What is the tension, T1?
a) 29.52 N.
b) 33.95 N.
c) 39.04 N.
d) 44.9 N.
e) 51.63 N.

11) What is the gravitational acceleration on a plant that is 1.73 times more dense than Earth, and a radius that is 2.44 times greater than Earth's?

a) 41.4 m/s2
b) 47.6 m/s2
c) 54.7 m/s2
d) 62.9 m/s2
e) 72.4 m/s2

12) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31
b) 0.341
c) 0.376
d) 0.413
e) 0.454

13) A merry-go round has a period of 0.32 minutes. What is the minimum coefficient of static friction that would allow a 88.1 kg person to stand1.73 meters from the center, without grabbing something?

a) 0.019
b) 0.022
c) 0.025
d) 0.029
e) 0.033
14)
In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T2?
a) 66.58 N.
b) 76.56 N.
c) 88.05 N.
d) 101.25 N.
e) 116.44 N.

15) What is the gravitational acceleration on a plant that is 2.59 times more massive than Earth, and a radius that is 1.75 times greater than Earths?

a) 8.3 m/s2
b) 9.5 m/s2
c) 11 m/s2
d) 12.6 m/s2
e) 14.5 m/s2

#### KEY:pc1:T2:V1

pc120161220T142002

1)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

-a) No
+b) Yes

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) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.277
-b) 0.305
-c) 0.335
+d) 0.369
-e) 0.406
4)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

-a) Yes
+b) No

5) A sled of mass 5.5 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 40.3N at an angle of 43 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

-a) 1.27 s
-b) 1.46 s
+c) 1.68 s
-d) 1.93 s
-e) 2.22 s

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.
7)
In the figure shown (with m1 = 7 kg, m2 = 3.6 kg, and Fext = 153 N), what is the acceleration? Assume no friction is present.
-a) 12.6 m/s2
+b) 14.4 m/s2
-c) 16.6 m/s2
-d) 19.1 m/s2
-e) 22 m/s2

8) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s2?

-a) 36.3 degrees
-b) 41.7 degrees
-c) 47.9 degrees
-d) 55.1 degrees
+e) 63.4 degrees
9)
In the figure shown, θ1 is 15 degrees, and θ3 is 37 degrees. The tension T3 is 22 N. What is the tension, T1?
-a) 11.96 N.
-b) 13.75 N.
-c) 15.82 N.
+d) 18.19 N.
-e) 20.92 N.
10)
In the figure shown, θ1 is 20 degrees , and θ3 is 37 degrees . The mass has a weight of 41 N. What is the tension, T1?
-a) 29.52 N.
-b) 33.95 N.
+c) 39.04 N.
-d) 44.9 N.
-e) 51.63 N.

11) What is the gravitational acceleration on a plant that is 1.73 times more dense than Earth, and a radius that is 2.44 times greater than Earth's?

+a) 41.4 m/s2
-b) 47.6 m/s2
-c) 54.7 m/s2
-d) 62.9 m/s2
-e) 72.4 m/s2

12) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31
+b) 0.341
-c) 0.376
-d) 0.413
-e) 0.454

13) A merry-go round has a period of 0.32 minutes. What is the minimum coefficient of static friction that would allow a 88.1 kg person to stand1.73 meters from the center, without grabbing something?

+a) 0.019
-b) 0.022
-c) 0.025
-d) 0.029
-e) 0.033
14)
In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T2?
+a) 66.58 N.
-b) 76.56 N.
-c) 88.05 N.
-d) 101.25 N.
-e) 116.44 N.

15) What is the gravitational acceleration on a plant that is 2.59 times more massive than Earth, and a radius that is 1.75 times greater than Earths?

+a) 8.3 m/s2
-b) 9.5 m/s2
-c) 11 m/s2
-d) 12.6 m/s2
-e) 14.5 m/s2

### pc1:T2:V2

pc120161220T142002
1)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) Yes
b) No

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)
In the figure shown (with m1 = 5.1 kg, m2 = 2.8 kg, and Fext = 148 N), what is the acceleration? Assume no friction is present.
a) 14.2 m/s2
b) 16.3 m/s2
c) 18.7 m/s2
d) 21.5 m/s2
e) 24.8 m/s2

4) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

a) 0.68 s
b) 0.78 s
c) 0.9 s
d) 1.03 s
e) 1.19 s

5) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

a) 4.1 m/s2
b) 4.7 m/s2
c) 5.4 m/s2
d) 6.2 m/s2
e) 7.2 m/s2
6)
In the figure shown, θ1 is 19 degrees, and θ3 is 38 degrees. The tension T3 is 21 N. What is the tension, T1?
a) 10.01 N.
b) 11.51 N.
c) 13.23 N.
d) 15.22 N.
e) 17.5 N.

7) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.33 . But the team wins a game of tug of war due to their superior mass of 663 kg. They are playing against a 5 person basketball team with a net mass of 422 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.39
b) 0.428
c) 0.471
d) 0.518
e) 0.57
8)
In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T2?
a) 39.08 N.
b) 44.94 N.
c) 51.69 N.
d) 59.44 N.
e) 68.35 N.
9)
In the figure shown, θ1 is 17 degrees , and θ3 is 39 degrees . The mass has a weight of 42 N. What is the tension, T1?
a) 34.24 N.
b) 39.37 N.
c) 45.28 N.
d) 52.07 N.
e) 59.88 N.
10)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

a) No
b) Yes

11) What is the gravitational acceleration on a plant that is 2.98 times more dense than Earth, and a radius that is 1.81 times greater than Earth's?

a) 30.2 m/s2
b) 34.8 m/s2
c) 40 m/s2
d) 46 m/s2
e) 52.9 m/s2

12) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 64.8 kg person to stand1.76 meters from the center, without grabbing something?

a) 0.008
b) 0.009
c) 0.01
d) 0.012
e) 0.014

13) 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

14) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31
b) 0.341
c) 0.376
d) 0.413
e) 0.454

15) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s2?

a) 70.3 degrees
b) 80.9 degrees
c) 93 degrees
d) 106.9 degrees
e) 123 degrees

#### KEY:pc1:T2:V2

pc120161220T142002

1)
Is ${\displaystyle dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|}$ valid for uniform circular motion?

+a) Yes
-b) No

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)
In the figure shown (with m1 = 5.1 kg, m2 = 2.8 kg, and Fext = 148 N), what is the acceleration? Assume no friction is present.
-a) 14.2 m/s2
-b) 16.3 m/s2
+c) 18.7 m/s2
-d) 21.5 m/s2
-e) 24.8 m/s2

4) A sled of mass 5.1 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 47.8N at an angle of 36 degress above the horizontal. How long will it take to reach a speed of 9 m/s?

-a) 0.68 s
-b) 0.78 s
-c) 0.9 s
-d) 1.03 s
+e) 1.19 s

5) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

-a) 4.1 m/s2
-b) 4.7 m/s2
-c) 5.4 m/s2
-d) 6.2 m/s2
+e) 7.2 m/s2
6)
In the figure shown, θ1 is 19 degrees, and θ3 is 38 degrees. The tension T3 is 21 N. What is the tension, T1?
-a) 10.01 N.
-b) 11.51 N.
-c) 13.23 N.
-d) 15.22 N.
+e) 17.5 N.

7) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.33 . But the team wins a game of tug of war due to their superior mass of 663 kg. They are playing against a 5 person basketball team with a net mass of 422 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.39
-b) 0.428
-c) 0.471
+d) 0.518
-e) 0.57
8)
In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T2?
-a) 39.08 N.
-b) 44.94 N.
+c) 51.69 N.
-d) 59.44 N.
-e) 68.35 N.
9)
In the figure shown, θ1 is 17 degrees , and θ3 is 39 degrees . The mass has a weight of 42 N. What is the tension, T1?
-a) 34.24 N.
+b) 39.37 N.
-c) 45.28 N.
-d) 52.07 N.
-e) 59.88 N.
10)
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

+a) No
-b) Yes

11) What is the gravitational acceleration on a plant that is 2.98 times more dense than Earth, and a radius that is 1.81 times greater than Earth's?

-a) 30.2 m/s2
-b) 34.8 m/s2
-c) 40 m/s2
-d) 46 m/s2
+e) 52.9 m/s2

12) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 64.8 kg person to stand1.76 meters from the center, without grabbing something?

-a) 0.008
-b) 0.009
-c) 0.01
-d) 0.012
+e) 0.014

13) 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

14) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31
+b) 0.341
-c) 0.376
-d) 0.413
-e) 0.454

15) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s2?

+a) 70.3 degrees
-b) 80.9 degrees
-c) 93 degrees
-d) 106.9 degrees
-e) 123 degrees