# User:Guy vandegrift/Quizbank/Archive1/College Physics/I T3study

## TrigPhys_I_T3_Study

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This document contains either a study guide OR pairs of exams taken from the same exam bank
If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
Exams with different s-numbers have different questions and may not have the same difficulty.
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At the end of this document
Attribution for the quizzes identifies where the questions were obtained

### TrigPhys_I_T3_Study-v1s1

1.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

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

___ a) Yes
___ b) No

3.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

4.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

5.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

6.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

___ a) Yes
___ b) No

7.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

8.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

9.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

10.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

11.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

___ a) Yes
___ b) No

12.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

___ a) Yes
___ b) No

13.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

___ a) Yes
___ b) No

14.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

___ a) Yes
___ b) No

15. If the initial velocity after leaving the spring is 7.30 m/s, how high does it reach before coming to rest?
___ a) 2.35 m
___ b) 2.47 m
___ c) 2.59 m
___ d) 2.72 m
___ e) 2.85 m

16. The mass of the cart is 4.0kg, and the spring constant is 6611N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?
___ a) 3.37E+02 m
___ b) 3.54E+02 m
___ c) 3.72E+02 m
___ d) 3.90E+02 m
___ e) 4.10E+02 m

17. What is the highest point the cart reaches if the speed was 1.6m/s, when the cart was situated at a height of 3.5m?,
___ a) 3.33 m
___ b) 3.50 m
___ c) 3.68 m
___ d) 3.86 m
___ e) 4.05 m

18. 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

19. 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

20. 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

21. On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

___a) 1.72m/s.
___b) 2.07m/s.
___c) 2.48m/s.
___d) 2.98m/s.
___e) 3.57m/s.

22. A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

___a) 1507 kg
___b) 1809 kg
___c) 2170 kg
___d) 2604 kg
___e) 3125 kg

23.
A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
___a) 55 m/s.
___b) 59 m/s.
___c) 63 m/s.
___d) 68 m/s.
___e) 73 m/s.

24.
A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 5.7m from the wall. What is the tension, T, in the string?
___a) 4.34E+01 N
___b) 5.47E+01 N
___c) 6.89E+01 N
___d) 8.67E+01 N
___e) 1.09E+02 N

25.
In the figure shown, L1 = 5.4m, L2 = 3.3m and L3 = 7.4m. What is F1 if F2 =7.5N and F3 =5.4N?
___a) 8.16E+00 N
___b) 9.89E+00 N
___c) 1.20E+01 N
___d) 1.45E+01 N
___e) 1.76E+01 N

26.
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
___a) 4.20E+01 N
___b) 5.09E+01 N
___c) 6.17E+01 N
___d) 7.47E+01 N
___e) 9.05E+01 N

27.
In the figure shown, L1 = 6.4m, L2 = 3.4m and L3 = 7.1m. What is F2 if F1 =0.87N and F3 =0.1N?
___a) 1.43E+00 N
___b) 1.73E+00 N
___c) 2.10E+00 N
___d) 2.54E+00 N
___e) 3.08E+00 N

28.
A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.6 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L =4.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
___a) 2.28E+01 N
___b) 2.76E+01 N
___c) 3.35E+01 N
___d) 4.05E+01 N
___e) 4.91E+01 N

#### Key to TrigPhys_I_T3_Study-v1s1

1.
Is ${\displaystyle dv/d\ell =v/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

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

+ a) Yes
- b) No

3.
Is ${\displaystyle d\ell =vdt}$ valid for uniform circular motion?

+ a) Yes
- b) No

4.
Is ${\displaystyle adt/v=vdt/r}$ valid for uniform circular motion?

+ a) Yes
- b) No

5.
Is ${\displaystyle dv=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

6.
Is ${\displaystyle |d{\vec {v}}|=adt}$ valid for uniform circular motion?

+ a) Yes
- b) No

7.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|}$ valid for uniform circular motion?

+ a) Yes
- b) No

8.
Is ${\displaystyle d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

9.
Is ${\displaystyle v/d\ell =r/dv}$ valid for uniform circular motion?

- a) Yes
+ b) No

10.
Is ${\displaystyle dv/r=d\ell /v}$ valid for uniform circular motion?

- a) Yes
+ b) No

11.
Is ${\displaystyle rd\ell =vdv}$ valid for uniform circular motion?

- a) Yes
+ b) No

12.
Is ${\displaystyle dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|}$ valid for uniform circular motion?

- a) Yes
+ b) No

13.
Is ${\displaystyle d\ell /dv=v/r}$ valid for uniform circular motion?

- a) Yes
+ b) No

14.
Is ${\displaystyle dv/d\ell =r/v}$ valid for uniform circular motion?

- a) Yes
+ b) No

15. If the initial velocity after leaving the spring is 7.30 m/s, how high does it reach before coming to rest?
- a) 2.35 m
- b) 2.47 m
- c) 2.59 m
+ d) 2.72 m
- e) 2.85 m

16. The mass of the cart is 4.0kg, and the spring constant is 6611N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?
+ a) 3.37E+02 m
- b) 3.54E+02 m
- c) 3.72E+02 m
- d) 3.90E+02 m
- e) 4.10E+02 m

17. What is the highest point the cart reaches if the speed was 1.6m/s, when the cart was situated at a height of 3.5m?,
- a) 3.33 m
+ b) 3.50 m
- c) 3.68 m
- d) 3.86 m
- e) 4.05 m

18. 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

19. 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

20. 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

21. On object of mass 2.2 kg that is moving at a velocity of 28m/s collides with a stationary object of mass 18.48 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.72m/s.
-b) 2.07m/s.
-c) 2.48m/s.
+d) 2.98m/s.
-e) 3.57m/s.

22. A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

-a) 1507 kg
-b) 1809 kg
-c) 2170 kg
+d) 2604 kg
-e) 3125 kg

23.
A 169 gm bullet strikes a ballistic pendulum of mass 2.45 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
+a) 55 m/s.
-b) 59 m/s.
-c) 63 m/s.
-d) 68 m/s.
-e) 73 m/s.

24.
A massless bar of length, S = 8.5m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.6 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 5.7m from the wall. What is the tension, T, in the string?
-a) 4.34E+01 N
-b) 5.47E+01 N
-c) 6.89E+01 N
+d) 8.67E+01 N
-e) 1.09E+02 N

25.
In the figure shown, L1 = 5.4m, L2 = 3.3m and L3 = 7.4m. What is F1 if F2 =7.5N and F3 =5.4N?
-a) 8.16E+00 N
-b) 9.89E+00 N
+c) 1.20E+01 N
-d) 1.45E+01 N
-e) 1.76E+01 N

26.
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L = 4.9m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
-a) 4.20E+01 N
-b) 5.09E+01 N
+c) 6.17E+01 N
-d) 7.47E+01 N
-e) 9.05E+01 N

27.
In the figure shown, L1 = 6.4m, L2 = 3.4m and L3 = 7.1m. What is F2 if F1 =0.87N and F3 =0.1N?
+a) 1.43E+00 N
-b) 1.73E+00 N
-c) 2.10E+00 N
-d) 2.54E+00 N
-e) 3.08E+00 N

28.
A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.6 degrees above the horizontal. An object of mass, M = 6.2kg is suspended at a length, L =4.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
-a) 2.28E+01 N
+b) 2.76E+01 N
-c) 3.35E+01 N
-d) 4.05E+01 N
-e) 4.91E+01 N