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AP Physics Uniform Circular Motion

Total questions: 25

Worksheet time: 17mins

Name
Class
Date
1.
Calculate the velocity of an object moved around a circle with a radius of 1.65 m and an acceleration of 3.5 m/s2.
a)
2.4 m/s
b)
3.6 m/s
c)
3.9 m/s
d)
4.2 m/s
2.
You are moving a ball in a circle using 72 N of centripetal force. What would the force be if you doubled the velocity of the circle?
a)
244 N
b)
288 N
c)
36 N
d)
72 N
3.
A particle P is moving in a circle with uniform speed. Which one of the following diagrams correctly shows the direction of the acceleration a and velocity v of the particle at one instant of time?
a)
A
b)
B
c)
C
d)
D
4.
Which statement is true about an object that is traveling in uniform circular motion?
a)
The speed of the object varies.
b)
The net force on the object is directed toward the center of the circular path.
c)
The direction of the object's velocity is constant.
d)
The net force on the object is directed away from the center of the circular path.
5.
A pilot experiences centripetal acceleration of 2g's while maneuvering a loop at a speed of 400 m/s.  What is the radius of the loop?
a)
203 m
b)
8163 m
c)
80,003 m
d)
23 m
6.
Calculate the mass of an object if it took 20 N to rotate it in a circle with a radius of 2 meters with a velocity of 4 m/s
a)
4.1 kg
b)
3.6 kg
c)
2.5 kg
d)
1.8 kg
7.

Which of the following ranks the tensions in the strings from highest to lowest?

a)

A>C>D>B

b)

B>D>C>A

c)

B>C>A>D

d)

D>A>C>B

8.

How does the speed in Case A compare to the speed in Case B?

a)

twice as large

b)

one fourth as large

c)

four times as large

d)

one half times as large

9.

The time taken for one complete cycle is called the...

a)

Period

b)

Frequency

c)

Angular velocity

10.

What happens to an object's speed as the radius is cut in half?

a)

It is halved

b)

It doubles

c)

It remains unchanged.

11.

A curved groove is place on the top of a level table as shown in the diagram. A ball is pushed in the groove at P so that it leaves at Q. Which picture shows how the ball will move when it leaves the groove at Q?

a)
b)
c)
d)
12.
Consider the case of the non-uniform circular motion when you are riding in a Ferris Wheel. What is the correct expression that relates all the forces when you are at the top of the circle?
a)
Fc =  W + N
b)
Fc =  W - N
c)
Fc =  
d)
Fc =  N - W
13.
Which one is the right relationship when you are at the bottom of a Ferris Wheel ride?
a)
W = Fc - N
b)
N = W + Fc
c)
Fc = W - N
d)
W = N - Fc
14.

What is the range of the speed of a rider so that he is able to complete the loop in a Ferris Wheelof radius r ?

a)

less than √rg

b)

less than or equal to √rg

c)

more than √rg

d)

more than or equal to √rg

15.

Why does an object experiencing uniform circular motion have an acceleration?

a)

because it ir changing speed

b)

because it is changing direction

c)

because it is moving n a straight line

d)

because it has mass

16.

What is the force that causes centripetal acceleration when a car goes around the curve?

a)

normal force

b)

centrifugal force

c)

frictional force

d)

weight

17.

In this diagram, what do the red arrows represent?

a)

the acceleration vector

b)

the velocity vector

c)

the centripetal force vector

d)

the force of gravity

18.
As this ride starts to spin in a circular motion the swings move outward.  What is the cause of this outward motion
a)
Gravity
b)
Centripetal Force
c)
Speed
d)
Inertia
19.

At point P, he car hits an area of ice and loses all frictional force on it tires. Which path does the car follow on the ice?

a)

A

b)

B

c)

C

d)

D

20.

A centripetal force F is applied to an object moving at a constant speed v in a horizontal circle of radius r. If the radius is quadrupled and the speed is doubled, what happens to the centripetal force?

a)

Increased by a factor of 2

b)

decreased by a factor of 2

c)

doesn’t change

d)

increased by a factor of √2

21.

A roller coaster car is on a track that forms a circular loop of radius R in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its velocity at this point?

a)

gR

b)

0.5gR

c)

2gR

d)

(gR)1/2

22.

A coin rests on a turntable a distance r from the axis of rotation. The turntable rotates with a constant speed of v. What is the minimum coefficient of static friction between the turntable and the coin?

a)

v2rg

b)

v2/rg

c)

rg/v2

d)

v2/r

23.

An object m is tied to one end of a string, moves in a circle with a constant speed v on a horizontal frictionless table. The second end of the string is connected to a big mass M and goes through a small hole in the table. What is the value of M if it stays in equilibrium?

a)

mv2/rg

b)

v2/rmg

c)

rg/mv2

d)

mv2r/g

24.

A rock attached to a string swings in a vertical circle, as shown, with negligible air resistance. Which of the following diagrams could correctly show all the forces on the rock at the position shown?

a)
b)
c)
d)
e)
25.

A ball of mass m is attached to a vertical rod by two massless strings. The rod is rotated about its axis so that both strings are taut, with tensions T1 and T2, respectively. The ball rotates in a horizontal circle of radius r with speed v as shown.

What is the magnitude of the net force on the ball?

a)

mv2/ r

b)

mg

c)

T2

d)

T2 + mv2r

e)

T1 + mg