Circular Motion — Unit test Answers

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1
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In the equation for centripetal force, which expression represents the centripetal acceleration of the object?

A
mv2
B
StartFraction m over r EndFraction
Option B
C
StartFraction v Superscript 2 Baseline over r EndFraction
Option C
D
StartFraction m times v Superscript 2 Baseline over r EndFraction
Option D
2
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Rahul wants to change the motion map shown so that it shows uniform circular motion.

Question illustration
A
He should change the length of each vector that points toward the center so that it is the same length as the vector pointing tangent to the circle at that point.
B
He should change the lengths of the vectors that point tangent to the circle so that each is the same length.
C
He should change the direction of the vectors that are tangent to the circle so that each points away from the center of the circle.
D
He should change the direction of the vectors that are tangent to the circle so that each points toward the center of the circle.
3

The gravitational force between two asteroids is 6.2 × 108 N. Asteroid Y has three times the mass of asteroid Z.

A
3.7 × 1015 kg
B
1.1 × 1016 kg
C
1.4 × 1031 kg
D
4.1 × 1031 kg
4

The pitcher on a softball team starts a windup to throw a pitch, as shown.Note: In softball, the ball is pitched underhand in a circular motion in the direction of the arrow.

Question illustration
A
W
B
X
C
Y
D
Z
5

In the equation for the gravitational force between two objects, what does G represent?

A
the gravitational constant
B
the gravitational force
C
the gravitational field strength
D
the gravitational acceleration
6

A cyclist rides at a constant speed of 4.5 m/s around a curve. If the centripetal acceleration is 29 m/s2, what is the radius of the curve?

A
0.16 m
B
0.70 m
C
6.4 m
D
34 m
7

The table shows data for the planet Uranus.

Question illustration
A
170 N
B
218 N
C
430 N
D
532 N
8

A bicycle tire has a radius of 0.23 m. The tire spins at a constant speed with a centripetal acceleration of 42 m/s2.

A
3.1 m/s
B
6.5 m/s
C
9.7 m/s
D
14 m/s
9

The acceleration due to gravity on Mercury is 3.7 m/s2, which is about six times the acceleration due to gravity on Pluto.

A
An object weighs about one-sixth as much and has about one-sixth the mass on Pluto as on Mercury.
B
An object weighs about one-sixth as much but has the same mass on Pluto as on Mercury.
C
An object weighs the same but has about one-sixth the mass on Pluto as on Mercury.
D
An object weighs the same and has the same mass on Pluto as on Mercury.
10

An object is represented by the dot on the motion map.

Question illustration
A
a car driving over the top of a hill
B
a ball on a string that stopped at the top of a vertical loop
C
a roller coaster car at the top of a vertical loop of track
D
a bug on the top of a rolling hula hoop
11

Which best illustrates projectile motion?

A
A pictorial diagram showing a hot air balloon in four different positions, each the same height from the ground and equally spaced.
Option A
B
A pictorial diagram with a rocket launched straight upward. The first three positions of the rocket are shown with equal spacing between them.
Option B
C
A pictorial diagram with a person swimming and position shown in equal time intervals and equally spaced.
Option C
D
A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground. The third image is the highest off the ground.
Option D
12

An object moving in a circle is represented by the motion map.

Question illustration
A
W
B
X
C
Y
D
Z
13

What is the vertical acceleration of a dart that is launched horizontally with an initial velocity of 2.3 m/s?

A
–9.8 m/s2
B
0 m/s2
C
2.3 m/s2
D
9.8 m/s2
14

The diagram shows two balls released from a device at the same time. The ball on the left falls freely from rest, and the ball on the right is launched horizontally.

Question illustration
A
Both balls have constant velocity and are acted on by gravity.
B
Both balls are acted on by gravity and are accelerating downward.
C
Both balls are pulled downward and have zero acceleration.
D
Both balls have zero acceleration and have constant velocity.
15

A child on a spinning ride at a playground has a centripetal acceleration of 0.80 m/s2. The child completes a full circle every 4.2 s.

A
0.068 m
B
0.085 m
C
0.27 m
D
0.36 m

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