Unit Test — Unit test Answers

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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
2
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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
3

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
4

What did Johannes Kepler contribute to the study of planets?

A
He formulated the universal law of gravitation.
B
He identified the first moons of Jupiter.
C
He collected detailed data that led to the proposal of the heliocentric model.
D
He provided mathematical support for the heliocentric model.
5

Which statement is supported by Kepler’s laws?

A
The closer a planet is to the Sun, the faster it moves.
B
The farther a planet is from the Sun, the faster it moves.
C
As a planet moves away from the Sun, its gravitational force increases.
D
As a planet moves away from the Sun, its gravitational force remains the same.
6

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
7

The image shown is an illustration of Kepler’s second law.

Question illustration
A
The gravitational force at W is less than the gravitational force at Y.
B
The time needed to travel from W to X is the same as the time needed to travel from Y to Z.
C
The gravitational force at W is the same as the gravitational force at Y.
D
The time needed to travel from W to X is greater than the time needed to travel from Y to Z.
8

A boat travels in a straight path that is 25° west of north. Which describes the values of the west and north components of the boat’s displacement?

A
Both components are positive numbers.
B
Both components are negative numbers.
C
The west component is a negative number, and the north component is a positive number.
D
The west component is a positive number, and the north component is a negative number.
9

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.
10

Hakeem wants to explain why only one side of the moon is visible from Earth. Which comparison would provide the best support?

A
the orbital period of Earth with the rotational period of the moon
B
the orbital period of the moon with the rotational period of the moon
C
the orbital period of the moon with the rotational period of the Earth
D
the orbital period of Earth with the orbital period of the moon
11

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.
12

The table shows data for the planet Uranus.

Question illustration
A
170 N
B
218 N
C
430 N
D
532 N
13

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

Question illustration
A
W
B
X
C
Y
D
Z
14

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
15

Cecelia dropped a ball from a height of 2 m. The ball fell in a straight path down to the ground.

A
tossing it horizontally at a slower speed
B
tossing it horizontally at a faster speed
C
dropping it from a shorter distance
D
dropping it from a greater distance

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