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Centripetal motion and Gravity

Total questions: 44

Worksheet time: 3585secs

Name
Class
Date
1.
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
2.
What happens to the centripetal force exerted on an object if you triple the velocity?
a)
it increases to 3X
b)
it decreases to 6X
c)
it increases to 6X
d)
it increases to 9X
3.
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
4.
Calculate the centripetal force required to make a 5 kg ball move 4 m/s in a circle with a radius of 2 m.
a)
10 N
b)
20 N
c)
30 N
d)
40  N
5.
Centripetal force is...
a)
the resultant force acting on a body moving at constant speed in a circle 
b)
the outwards force acting on a body moving at constant speed in a circle 
6.

Centripetal acceleration acts towards the ___________ of the circular motion

a)

center

b)

circumference

7.
Which represents the acceleration of the ball?
a)
A
b)
B
c)
C
d)
D
8.

Which of the following depict the speed of the bowling ball if it was going counter clockwise in a circle?

a)

A

b)

B

c)

C

d)

D

9.
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
10.
A test car moves at a constant speed around a circular track.  If the car is 48.2 m from the track's center and has a centripetal acceleration of 8.05 m/s2, what is the car's tangential speed?
a)
19.7 m/s
b)
5.99 m/s
c)
0.17 m/s
d)
388.01 m/s
11.
The velocity is always _____ to the line of a circle. 
a)
outwards
b)
towards the center
c)
tangent
d)
faster
12.
Acceleration only takes place when things speed up. 
a)
True
b)
False
13.
Why does a car accelerate as it round a corner at a constant speed?
a)
Its direction changes
b)
It doesn't
c)
It slows down
d)
Its speeds up  
14.

Acceleration is (check all that apply)

a)

Speeding up

b)

Slowing down

c)

Changing direction

d)

change in velocity/time

e)

change in position/time

15.
Acceleration is a change in ________. 
a)
direction 
b)
speed 
c)
velocity 
d)
distance 
16.
The time taken for one complete circuit is called the... 
a)
Period
b)
Frequency 
c)
Angular velocity
17.
Bruno the bat flies at a speed of 0.5 m/s in circle of radius 1 m. What is his acceleration?
a)
0.25 ms-2
b)
0.5 ms-2
c)
1 ms-2
d)
2 ms-2
18.
Centripetal acceleration always points
a)
in the direction of the object's motion
b)
in the opposite direction of the object's motion
c)
towards the center of the circle
d)
towards the outside of the circle
19.
A 1000-kg car is moving at 30 m/s around a horizontal unbanked curve whose diameter is 0.20 km. What is the magnitude of the friction force required to keep the car from sliding?
a)
9000 N
b)
9800 N
c)
300 N
d)
3000 N
20.
A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is  13.2 m with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.
a)
11.4 m/s
b)
12.5 m/s
c)
10.1 m/s
d)
14.9 m/s
21.

A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center?

a)

120 N

b)

240 N

c)

480 N

d)

960 N

22.
What is the direction of the velocity at point B, if the ball is revolving clockwise?
a)
up
b)
right
c)
down
d)
left
23.

A 10kg car travels at a constant speed of 20.0 m/s around a horizontal circular track. Which diagram correctly represent the direction of the car's velocity (v) and the direction of the centripetal force (Fc) acting on the car at a particular moment?

a)
b)
c)
d)
24.

At the instant shown in the diagram, the car's centripetal acceleration is directed-

a)

toward E

b)

toward N

c)

toward W

d)

clockwise

25.
What object experiences uniform circular motion?
a)
A car speeding up as it turns left
b)
A car traveling around a roundabout at a constant speed
c)
A car slowing down as it crests a tall hill
d)
A car traveling down the road at a constant speed
26.

At the position shown in the diagram, which arrow indicates the direction of the centripetal acceleration of the cart?

a)

A

b)

B

c)

C

d)

D

27.

What is Newton's First Law

a)

F = ma

b)

For every action there is an equal and opposite reaction.

c)

An object remains moving at a constant velocity (in a straight line at a constant speed) unless a net force acts upon it.

d)

Accelerated motion is cause by a lack of a net force acting in any direction.

28.

The string breaks. Describe the motion of the ball correctly.

a)

It moves in a straight line.

b)

It continues to move in a circular motion

c)

It moves in a straight line at a tangent to the circle

d)

It continues to accelerate.

29.
Which of the following is the unit for centripetal force?
a)
J
b)
m/s2
c)
kg⋅m/s
d)
N
30.
Which of the following units is used for tangential velocity?
a)
m/s2
b)
N
c)
J
d)
m/s
31.
Calculate the amount of centripetal force it takes for a softball pitcher to rotate a ball with a velocity of 3 m/s if the ball weighs .12 kg and her arm is .65 meters long.
a)
.38
b)
1.23
c)
.55
d)
1.66 N
32.

What is the mass of a 245N weight?

a)

25 kg

b)

245 kg

c)

2401 kg

d)

24.01 kg

33.

Suppose the speed of the car is 11.1 m/s (≈ 25 mph) and the radius of curvature (r) is 25 m; determine the magnitude of the centripetal force of the car if its mass is 1200kg.

a)

533 N

b)

5914 N

c)

6056 N

d)

12000 N

34.
The law of universal gravitation is credited to whom?
a)
Einstein
b)
Galileo
c)
Darwin
d)
Newton
35.
Two factors effecting the magnitude of the force of gravity between 2 objects are...
a)
mass and distance 
b)
mass and matter
c)
distance and weight 
d)
weight and mass
36.
If I double the mass of one object, but don't change anything else... WHat happens to the gravitational force between two objects?
a)
Doubles
b)
Quadruples
c)
Cut in Half
d)
4x Smaller
37.
Two asteroids exert a gravitational force, F, on each other. Some time later, the asteroids are now three times as far from each other as before. Which of the following represents the gravitational force at this distance? 
a)
F/3
b)
F/2
c)
F/6
d)
F/9
38.

Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a distance of 25 m. Find the gravitational attraction between them.

a)

4,200 N

b)

2.75 X 10-7 N

c)

1.1 X 10-8 N

d)

100,000 N

39.

If two objects, each with a mass of 2.0x102 kg, produce a gravitational force between them of 3.7x10‐6 N. What is the distance between them?

a)

1.7 m

b)

0.85 m

c)

0.72 m

d)

0.92 m

40.

What is the gravitational force between two identical 50,000 kg asteroids whose centers of mass are separated by 1000 m?

a)

2500 N

b)

3.3 x 10-12 N

c)

1.67 x 10-4 N

d)

1.67 x 10-7 N

41.

Two masses m1 and m2 are separated by a distance R and gravitaional force between them is F. If the distance R is reduced to R/2 the force will now be

a)

8F

b)

2F

c)

F/4

d)

F/2

e)

4F

42.

Two masses m1 and m2 are separated by a distance R and gravitaional force between them is F. If the distance R is reduced to R/2 and m1 doubles the force will now be

a)

8F

b)

2F

c)

F/4

d)

F/2

e)

4F

43.

Two masses m1 and m2 are separated by a distance R and gravitaional force between them is F. If the distance R is reduced to R/3 the force will now be _

a)

9F

b)

3F

c)

6F

d)

F/3

e)

F/9

44.

What would be the weight of a 70.0-kg person on the surface of Mercury? Mercury mass = 3.32 x 1023 kg Mercury radius = 2.44 x 106 m

a)

686 N

b)

372 N

c)

260 N

d)

70 kg