Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar

Chapter 5

Circular Motion and Gravitation - all with Video Answers

Educators

EV

Chapter Questions

Problem 1

An object travels in a circular path of radius $5.0$ meters at a uniform speed of 10 . meters per second. What is the magnitude of the object's centripetal acceleration?
(A) $10.0 \mathrm{~m} / \mathrm{s}^{2}$
(B) $2.0 \mathrm{~m} / \mathrm{s}^{2}$
(C) $5.0 \mathrm{~m} / \mathrm{s}^{2}$
(D) $20 . \mathrm{m} / \mathrm{s}^{2}$

Rachel B.

Rachel B.

Numerade Educator

Problem 2

The magnitude of the centripetal force keeping the cart in circular motion would be greatest at point
(A) $A$
(B) $B$
(C) $C$
(D) $D$

Rachel B.

Numerade Educator

Problem 3

Which diagram best represents the path followed by an object that falls off the cart when the cart is at point $D ?$
(A)
(B)
(C)
(D)

Rachel B.

Numerade Educator

Problem 4

A motorcycle of mass 100 kilograms travels around a flat, circular track of radius 10 meters with a constant speed of 20 meters per second. What force is required to keep the motorcycle moving in a circular path at this speed?
(A) $200 \mathrm{~N}$
(B) $400 \mathrm{~N}$
(C) $2000 \mathrm{~N}$
(D) $4000 \mathrm{~N}$

Rachel B.

Numerade Educator

Problem 5

Two masses, $A$ and $B$, move in circular paths as shown in the diagram below.
The centripetal acceleration of mass $A$, compared to that of mass $B$, is
(A) the same
(B) twice as great
(C) one-half as great
(D) 4 times as great

Rachel B.

Numerade Educator

Problem 6

When the ball is in the position shown, the direction of the centripetal force is toward point
(A) $A$
(B) $B$
(C) $C$
(D) $D$

Rachel B.

Numerade Educator

Problem 7

The centripetal acceleration of the ball is
(A) zero
(B) constant in direction, but changing in magnitude
(C) constant in magnitude, but changing in direction
(D) changing in both magnitude and direction

Rachel B.

Numerade Educator

Problem 8

If the string is shortened while the speed of the ball remains the same, the centripetal acceleration will
(A) decrease
(B) increase
(C) remain the same

Rachel B.

Numerade Educator

Problem 9

If the mass of the ball is decreased, the centripetal force required to keep it moving in the same circle at the same speed will
(A) decrease
(B) increase
(C) remain the same

Rachel B.

Numerade Educator

Problem 10

The force exerted on the mass by the string is
(A) $8 \mathrm{~N}$
(B) $16 \mathrm{~N}$
(C) $32 \mathrm{~N}$
(D) $64 \mathrm{~N}$

Rachel B.

Numerade Educator

Problem 11

In the position shown in the diagram, the velocity of the mass is directed toward point
(A) $A$
(B) $B$
(C) $C$
(D) $D$

Rachel B.

Numerade Educator

Problem 12

The speed of the mass is changed to $2.0$ meters per second. Compared to the centripetal acceleration of the mass when moving at $4.0$ meters per second, its centripetal acceleration when moving at $2.0$ meters per second would be
(A) half as great
(B) twice as great
(C) one-fourth as great
(D) 4 times as great

Rachel B.

Numerade Educator

Problem 13

What is the weight of the bob?
(A) $0.1 \mathrm{~N}$
(B) $0.98 \mathrm{~N}$
(C) $10 \mathrm{~N}$
(D) $98 \mathrm{~N}$

Rachel B.

Numerade Educator

Problem 14

The centripetal acceleration of the bob is greatest at point
(A) $E$
(B) $B$
(C) $C$
(D) $D$

Rachel B.

Numerade Educator

Problem 15

What is the magnitude of the net force acting on the car as it moves from $B$ to $C ?$
(A) $M v$
(B) $M v^{2}$
(C) $\frac{M v^{2}}{2}$
(D) zero

Rachel B.

Numerade Educator

Problem 16

What is the magnitude of the net force acting on the car when it is moving from $C$ to $D ?$
(A) $\frac{M v^{2}}{R}$
(B) $M v^{2} R$
(C) $M v R$
(D) zero

Rachel B.

Numerade Educator

Problem 17

Compared to the centripetal acceleration of the car when it is moving from $C$ to $D$, the centripetal acceleration when it is moving from $A$ to $B$ is
(A) less
(B) greater
(C) the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 18

What is the magnitude of the centripetal acceleration of the passenger?
(A) $1.0 \mathrm{~m} / \mathrm{s}^{2}$
(B) $2.0 \times 10^{3} \mathrm{~m} / \mathrm{s}^{2}$
(C) $5.0 \times 10^{2} \mathrm{~m} / \mathrm{s}^{2}$
(D) $10 . \mathrm{m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 19

What is the direction of the centripetal acceleration of the passenger at the instant the cage reaches the highest point in the circle?
(A) to the left
(B) to the right
(C) up
(D) down

EV

Elizabeth Vilchock

Numerade Educator

Problem 20

What does the $50 .$-kilogram passenger weigh at rest?
(A) $1600 \mathrm{~N}$
(B) $490 \mathrm{~N}$
(C) $50 \mathrm{~N}$
(D) o $\mathrm{N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 21

What is the magnitude of the centripetal force acting on the passenger?
(A) $0 \mathrm{~N}$
(B) $50 \mathrm{~N}$
(C) $4.9 \times 10^{2} \mathrm{~N}$
(D) $5.0 \times 10^{2} \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 22

What is the radius of the circular path?
(A) $1 \mathrm{~m}$
(B) $\sqrt{10 \mathrm{~m}}$
(C) $10 \mathrm{~m}$
(D) $100 \mathrm{~m}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 23

The centripetal acceleration of the object is equal to
(A) $100 \mathrm{~m} / \mathrm{s}^{2}$
(B) $1000 \mathrm{~m} / \mathrm{s}^{2}$
(C) $\frac{100}{r} \mathrm{~m} / \mathrm{s}^{2}$
(D) $\frac{1000}{r} \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 24

If the speed of the mass increases and the radius of its path remains constant, the centripetal force will
(A) decrease
(B) increase
(C) remain the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 25

What is the magnitude of the acceleration of the object
(A) $60 \mathrm{~m} / \mathrm{s}^{2}$
(B) $12 \mathrm{~m} / \mathrm{s}^{2}$
(C) $3.0 \mathrm{~m} / \mathrm{s}^{2}$
(D) $18 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 26

What is the magnitude of the the centripetal on the object?
(A) $2.4 \mathrm{~N}$
(B) $3.6 \mathrm{~N}$
(C) $6.0 \mathrm{~N}$
(D) $12 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 27

If the speed of the object increases, the magnitude of the centripetal force needed to keep the object moving in the same circle will
(A) decrease
(B) increase
(C) remain the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 28

If the speed of the car were doubled, the centripetal acceleration of the car would be
(A) the same
(B) doubled
(C) one-half as great
(D) 4 times as great

EV

Elizabeth Vilchock

Numerade Educator

Problem 29

The magnitude of the centripetal force acting on the car is closest to
(A) $100 \mathrm{~N}$
(B) $1000 \mathrm{~N}$
(C) $2000 \mathrm{~N}$
(D) $4000 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 30

If additional passengers were riding in the car, at the original speed, the car's centripetal acceleration would be
(A) less
(B) greater
(C) the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 31

If the mass of one of two particles is doubled and the distance between them is doubled, the force of attraction between the two particles will
(A) decrease
(B) increase
(C) remain the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 32

If the mass of an object near the surface of the Earth is increased from $M$ to $3 M$, the acceleration of the object due to gravity will be
(A) one-third as great
(B) 9 times as great
(C) 3 times as great
(D) unchanged

EV

Elizabeth Vilchock

Numerade Educator

Problem 33

Gravitational force of attraction $\mathbf{F}$ exists between two point masses, $A$ and $B$, when they are separated by a fixed distance. After mass $A$ is tripled and mass $B$ is halved, the gravitational attraction between the two masses is
(A) $1 / 6 \mathrm{~F}$
(B) $2 / 3 \mathbf{F}$
(C) $3 / 2 \mathbf{F}$
(D) $6 \mathbf{F}$

Rachel B.

Numerade Educator

Problem 34

A rocket weighs 10, ooo newtons at the Earth's surface. If the rocket rises to a height equal to the Earth's radius, its weight will be
(A) $2500 \mathrm{~N}$
(B) $5000 \mathrm{~N}$
(C) $10,000 \mathrm{~N}$
(D) $40,000 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 35

Compared to the mass of a 10-newton object on the Earth, the mass of the same object on the Moon is
(A) less
(B) greater
(C) the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 36

As a space ship from Earth goes toward the Moon, the force it exerts on the Earth
(A) decreases
(B) increases
(C) remains the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 37

Two masses of $10.0$ kilograms and $1.0$ kilogram, respectively, are located $1.0$ meter apart. The gravitational force that each mass exerts on the other is
(A) $6.7 \times 10^{-9} \mathrm{~N}$
(B) $6.7 \times 10^{-10} \mathrm{~N}$
(C) $6.7 \times 10^{-11} \mathrm{~N}$
(D) $6.7 \times 10^{-12} \mathrm{~N}$

Rachel B.

Numerade Educator

Problem 38

The diagram below shows spheres $A$ and $B$ with masses of $M$ and $3 M$, respectively.
If the gravitational force of attraction of sphere $A$ on sphere $B$ is 2 newtons, then the gravitational force of attraction of sphere $B$ on sphere $A$ is
(A) $9 \mathrm{~N}$
(B) $2 \mathrm{~N}$
(C) $3 \mathrm{~N}$
(D) $4 \mathrm{~N}$

Rachel B.

Numerade Educator

Problem 39

Which graph best represents the gravitational force between two point masses as a function of the distance between the masses?
(A)
(B)
(C)
(D)

Rachel B.

Numerade Educator

Problem 40

Which graph best represents the relationship between the mass of an object and its distance from the center of the Earth?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 41

Two objects of fixed mass are moved apart so that they are separated by 3 times their original distance. Compared to the original gravitational force between them, the new gravitational force is
(A) one-third as great
(B) one-ninth as great
(C) 3 times greater
(D) 9 times greater

EV

Elizabeth Vilchock

Numerade Educator

Problem 42

Three equal masses, $A, B$, and $C$, are arranged as shown in the diagram.
If the gravitational force between $A$ and $B$ is 3 newtons, then the gravitational force between $A$ and $C$ is
(A) $1 \mathrm{~N}$
(B) $9 \mathrm{~N}$
(C) $3 \mathrm{~N}$
(D) $27 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 43

An object has a weight $W$ at the surface of the Earth. At a distance of 3 Earth radii from the center of the Earth, the weight of the object will be
(A) $W / 9$
(B) $W / 3$
(C) $3 W$
(D) $9 W$

EV

Elizabeth Vilchock

Numerade Educator

Problem 44

The acceleration due to gravity at a point near the surface of the Moon is $1 / 2$ that near the surface of the Earth. The weight of a 2.0-kilogram mass at that same point near the surface of the Moon is approximately
(A) $1.6 \mathrm{~N}$
(B) $2.0 \mathrm{~N}$
(C) $3.3 \mathrm{~N}$
(D) $0.33 \mathrm{~N}$

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 45

The gravitational field at a given location is $9.73$ newtons per kilogram. The gravitational acceleration at this location is
(A) $4.90 \mathrm{~m} / \mathrm{s}^{2}$
(B) $9.73 \mathrm{~m} / \mathrm{s}^{2}$
(C) $9.81 \mathrm{~m} / \mathrm{s}^{2}$
(D) $19.6 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 46

A satellite is moving at constant speed in a circular orbit about the Earth, as shown in the diagram below.
The net force acting on the satellite is directed toward point
(A) $A$
(B) $B$
(C) $C$
(D) $D$

EV

Elizabeth Vilchock

Numerade Educator

Problem 47

What is the gravitational acceleration on a planet where a 2kilogram mass has a weight of 16 newtons on the planet's surface?
(A) $1 / 8 \mathrm{~m} / \mathrm{s}^{2}$
(B) $8 \mathrm{~m} / \mathrm{s}^{2}$
(C) $10 \mathrm{~m} / \mathrm{s}^{2}$
(D) $32 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 48

On planet Gamma, a 4.o-kilogram mass experiences a gravitational force of 24 newtons. What is the acceleration due to gravity on planet Gamma?
(A) $0.17 \mathrm{~m} / \mathrm{s}^{2}$
(B) $6.0 \mathrm{~m} / \mathrm{s}^{2}$
(C) $9.8 \mathrm{~m} / \mathrm{s}^{2}$
(D) $96 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 49

A rock falls from rest a vertical distance of $0.72$ meter to the surface of a planet in $0.63$ second. The magnitude of the acceleration due to gravity on the planet is
(A) $1.1 \mathrm{~m} / \mathrm{s}^{2}$
(B) $2.3 \mathrm{~m} / \mathrm{s}^{2}$
(C) $3.6 \mathrm{~m} / \mathrm{s}^{2}$
(D) $9.8 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 50

A 120o-kilogram space vehicle travels at $4.8$ meters per second along the level surface of Mars. If the magnitude of the gravitational field strength on the surface of Mars is $3.7$ newtons per kilogram, the magnitude of the normal force acting on the vehicle is
(A) $320 \mathrm{~N}$
(B) $930 \mathrm{~N}$
(C) $4400 \mathrm{~N}$
(D) $5800 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 51

Which vector best represents the velocity of the satellite at point $B ?$
(A) $\uparrow$
(B) $\downarrow$
(C) $\leftarrow$
(D) $\rightarrow$

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 52

The original satellite is replaced by one with twice the mass, and the orbit speed and radius are unchanged. Compared to the magnitude of the acceleration of the original satellite, the magnitude of the acceleration of the new satellite is
(A) one-half as great
(B) the same
(C) twice as great
(D) 4 times as great

EV

Elizabeth Vilchock

Numerade Educator

Problem 53

Which vector best represents the acceleration of the satellite at point $A$ in its orbit?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 54

If the satellite's distance from the center of the Earth were increased to 5 Earth radii, the centripetal force on the satellite would
(A) decrease
(B) increase
(C) remain the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 55

The diagram below shows an object moving counterclockwise around a horizontal, circular track.
Which diagram represents the direction of both the object's velocity and the centripetal force acting on the object when it is in the position shown?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 56

A 1750 -kilogram car travels at a constant speed of $15.0$ meters per second around a horizontal, circular track with a radius of $45.0$ meters. The magnitude of the centripetal force acting on the car is
(A) $5.00 \mathrm{~N}$
(B) $583 \mathrm{~N}$
(C) $8750 \mathrm{~N}$
(D) $3.94 \times 10^{5} \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 57

As a meteor moves from a distance of 16 Earth radii to a distance of 2 Earth radii from the center of Earth, the magnitude of the gravitational force between the meteor and Earth becomes
(A) $1 / 2$ as great
(B) 8 times as great
(C) 64 times as great
(D) 4 times as great

EV

Elizabeth Vilchock

Numerade Educator

Problem 58

Which diagram best represents the gravitational forces, $F_{g}$, between a satellite, $S$, and Earth?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 59

Which graph best represents the relationship between the magnitude of the centripetal acceleration and the speed of an object moving in a circle of constant radius?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 60

A 6o.-kilogram physics student would weigh 1560 newtons on the surface of planet $X .$ What is the magnitude of the acceleration due to gravity on the surface of planet $X ?$
(A) $0.038 \mathrm{~m} / \mathrm{s}^{2}$
(B) $6.1 \mathrm{~m} / \mathrm{s}^{2}$
(C) $9.8 \mathrm{~m} / \mathrm{s}^{2}$
(D) $26 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 61

A car rounds a horizontal curve of constant radius at a constant speed. Which diagram best represents the directions of both the car's velocity, $v$, and acceleration, $a$ ?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 62

A $2.00$-kilogram object weighs $19.6$ newtons on Earth. If the acceleration due to gravity on Mars is $3.71$ meters per second $^{2}$, what is the object's mass on Mars?
(A) $2.64 \mathrm{~kg}$
(B) $2.00 \mathrm{~kg}$
(C) $19.6 \mathrm{~N}$
(D) $7.42 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 63

Which vector represents the direction of the satellite's velocity at point $A ?$
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 64

Which vector represents the direction of the centripetal force on the satellite at point $B ?$
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 65

As the satellite moves from point $A$ toward point $B$, the velocity of the satellite
(A) decreases
(B) increases
(C) remains the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 66

Compared to the magnitude of the force of the satellite on the Earth, the magnitude of the force of the Earth on the satellite is
(A) less
(B) greater
(C) the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 67

A car moves with a constant speed in a clockwise direction around a circular path of radius $r$, as represented in the diagram below.
When the car is in the position shown, its acceleration is directed toward the
(A) north
(B) west
(C) south
(D) east

Ivan Kochetkov

Numerade Educator

Problem 68

A $0.50$-kilogram object moves in a horizontal circular path with a radius of $0.25$ meter at a constant speed of $4.0$ meters per second. What is the magnitude of the object's acceleration?
(A) $8.0 \mathrm{~m} / \mathrm{s}^{2}$
(B) $16 \mathrm{~m} / \mathrm{s}^{2}$
(C) $32 \mathrm{~m} / \mathrm{s}^{2}$
(D) $64 \mathrm{~m} / \mathrm{s}^{2}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 69

Earth's mass is approximately 81 times the mass of the Moon. If Earth exerts a gravitational force of magnitude $F$ on the Moon, the magnitude of the gravitational force of the Moon on Earth is
(A) $F$
(B) $\frac{F}{81}$
(C) $9 F$
(D) $81 F$

EV

Elizabeth Vilchock

Numerade Educator

Problem 70

The diagram shows two bowling balls, $A$ and $B$, each having a mass of $7 .$ kilograms, placed $2.00$ meters apart.
What is the magnitude of the gravitational force exerted by ball $A$ on ball $B$ ?
(A) $8.17 \times 10^{-9} \mathrm{~N}$
(B) $1.63 \times 10^{-9} \mathrm{~N}$
(C) $8.17 \times 10^{-10} \mathrm{~N}$
(D) $1.17 \times 10^{-10} \mathrm{~N}$

Nishant Kumar

Numerade Educator

Problem 71

A ball attached to a string is moved at constant speed in a horizontal circular path. A target is located near the path of the ball as shown in the diagram.
At which point along the ball's path should the string be released, if the ball is to hit the target?
(A) $A$
(B) $B$
(C) $C$
(D) $D$

EV

Elizabeth Vilchock

Numerade Educator

Problem 72

As an astronaut travels from the surface of Earth to a position that is four times as far away from the center of Earth, the astronaut's
(A) mass decreases
(B) mass remains the same
(C) weight increases
(D) weight remains the same

EV

Elizabeth Vilchock

Numerade Educator

Problem 73

Which vector best represents the direction of the centripetal acceleration of the student at point $A$ ?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 74

The magnitude of the centripetal force acting on the student at point $A$ is approximately
(A) $1.2 \times 10^{4} \mathrm{~N}$
(B) $1.9 \times 10^{3} \mathrm{~N}$
(C) $2.2 \times 10^{2} \mathrm{~N}$
(D) $3.0 \times 10^{1} \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 75

Which diagram best represents the gravitational field lines surrounding Earth?
(A)
(B)
(C)
(D)

EV

Elizabeth Vilchock

Numerade Educator

Problem 76

A $2.0$-kilogram object is falling freely near Earth's surface. What is the magnitude of the gravitational force that Earth exerts on the object?
(A) 20. N
(B) $2.0 \mathrm{~N}$
(C) $0.20 \mathrm{~N}$
(D) $0.0 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 77

A 25.o-kilogram space probe fell freely with an acceleration of 2.oo meters per second $^{2}$ just before it landed on a distant planet. What is the weight of the space probe on that planet?
(A) $12.5 \mathrm{~N}$
(B) $25.0 \mathrm{~N}$
(C) $50.0 \mathrm{~N}$
(D) 250. N

EV

Elizabeth Vilchock

Numerade Educator

Problem 78

The diagram below represents two satellites of equal mass, $A$ and $B$, in circular orbits around a planet.
Compared to the magnitude of the gravitational force of attraction between satellite $A$ and the planet, the magnitude of the gravitational force of attraction between satellite $B$ and the planet is
(A) half as great
(B) twice as great
(C) one-fourth as great
(D) four times as great

EV

Elizabeth Vilchock

Numerade Educator

Problem 79

The diagram below shows a 5.o-kilogram bucket of water being swung in a horizontal circle of $0.70$-meter radius at a constant speed of $2.0$ meters per second.
The magnitude of the centripetal force on the bucket of water is approximately
(A) $5.7 \mathrm{~N}$
(B) $14 \mathrm{~N}$
(C) $29 \mathrm{~N}$
(D) $200 \mathrm{~N}$

EV

Elizabeth Vilchock

Numerade Educator

Problem 80

In the diagram below, a cart travels clockwise at constant speed in a horizontal circle.
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) $D$

EV

Elizabeth Vilchock

Numerade Educator

Problem 81

Base your answers to parts $a$ and $b$ on the information and the data table below.
An astronaut on a distant planet conducted an experiment to determine the gravitational acceleration on that planet. The data table shows the results of the experiment.
a. Using the information in the data table, construct a graph on the grid provided, following the directions.
(1) Mark an appropriate scale on the axis labeled "Weight (N)."
(2) Plot a weight versus mass graph for the astronaut's data and draw the best-fit line.
b. Using your graph, determine the planet's gravitational acceleration. [Show all calculations, including equations and substitutions with units.]

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 82

Calculate the time required for the cart to make one complete revolution. [Show all work, including the equation and substitution with units.]

EV

Elizabeth Vilchock

Numerade Educator

Problem 83

Describe a change that would quadruple the magnitude of the centripetal force.

EV

Elizabeth Vilchock

Numerade Educator

Problem 84

On the diagram, draw an arrow to represent the direction of the acceleration of the cart in the position shown. Label the arrow $a$.

EV

Elizabeth Vilchock

Numerade Educator

Problem 85

Calculate the magnitude of the centripetal force acting on Earth as it orbits the Sun, assuming a circular orbit and an orbital speed of $3.00 \times 10^{4}$ meters per second. [Show all work, including the equation and substitution with units.]

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 86

Calculate the magnitude of the gravitational force of attraction that Jupiter exerts on Io. [Show all work, including the equation and substitution with units.]

EV

Elizabeth Vilchock

Numerade Educator

Problem 87

Calculate the magnitude of the acceleration of Io due to the gravitational force exerted by Jupiter. [Show all work, including the equation and substitution with units.]

EV

Elizabeth Vilchock

Numerade Educator

Problem 88

What fundamental force is the author referring to in this passage as a force between planets?

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 89

The diagram below represents Neptune, Uranus, and the Sun in a straight line. Neptune is $1.63 \times 10^{12}$ meters from Uranus.

Gregory Devenport

Gregory Devenport

Numerade Educator

Problem 90

The magnitude of the force the Sun exerts on Uranus is $1.41 \times$ $10^{21}$ newtons. Explain how it is possible for the Sun to exert a greater force on Uranus than Neptune exerts on Uranus.

Gregory Devenport

Gregory Devenport

Numerade Educator