Question 1

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Accepted Answer

A)   its speed is constant.
B)   its speed is increasing.
C)   its speed is decreasing.
D)   its speed is a maximum.
E)   its speed is a minimum. B

Question 2

Carla and Jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is rE (not the Earth's radius) distant from Earth and rP (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if FP on m = −FE on m. Jenny disagrees. Which one, if either, is correct, and why?

Accepted Answer

A)   Carla, because the total gravitational force on m is zero at that point.
B)   Carla, because there is no gravitational force from Earth on m at that point.
C)   Carla, because there is no gravitational force on m from Earth when r > rE.
D)   Jenny, because there is a gravitational force on m from Earth no matter how great the distance from the Earth.
E)   Jenny, because the gravitational force from the Earth can only be blocked by a body that is larger than the Earth. D

Question 3

What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 106 m, mass = 6.0 × 1024 kg) with a period of 5.0 h?

Accepted Answer

A)   88 N
B)   55 N
C)   36 N
D)   98 N
E)   18 N C

Question 4

Planet Zero has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 107 J. What maximum distance from the center of Zero is achieved by the probe?

Accepted Answer

A)   3.2 × 106 m
B)   4.0 × 106 m
C)   6.0 × 106 m
D)   5.0 × 106 m
E)   2.5 × 106 m

Question 5

Exhibit 13-1
Three 5.0-kg masses are located at points in the xy plane as shown in the figure.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

Accepted Answer

A)   2.7 × 10−8 N
B)   2.1 × 10−8 N
C)   1.8 × 10−8 N
D)   2.4 × 10−8 N
E)   2.9 × 10−8 N

Question 6

Three galaxies, each of mass M = 4.0 × 1041 kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length. The magnitude of the force the other two galaxies exert on each galaxy is

Accepted Answer

A)   4.3 × 1027 N.
B)   6.4 × 1027 N.
C)   7.4 × 1027 N.
D)   8.6 × 1027 N.
E)   4.3 × 1028 N.

Question 7

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

Accepted Answer

The answer of At the moment of a total eclipse,...

Question 8

A satellite revolves around the Earth in a circular orbit with a mechanical energy of  J. What is its kinetic energy?

Accepted Answer

A)  
B)  
C)  
D)  
E)

Question 9

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

Accepted Answer

The answer of Isaac Newton was able to estimate a...

Question 10

Planet Roton has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 106 m from the center of Roton?

Accepted Answer

A)   4.2 km/s
B)   3.9 km/s
C)   3.0 km/s
D)   3.4 km/s
E)   6.0 km/s

Question 11

Knowing that  at sea level and that RE = 6.37 × 106 m, we find that the value of g in  at a distance RE from the surface of the Earth is

Accepted Answer

A)   1.23.
B)   2.45.
C)   4.90.
D)   7.35.
E)   9.80.

Question 12

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Accepted Answer

A)   its speed is constant.
B)   its speed is increasing.
C)   its speed is decreasing.
D)   its speed is a maximum.
E)   its speed is a minimum.

Question 13

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Accepted Answer

The answer of The planet Venus requires 225 days to...

Question 14

Exhibit 13-1
Three 5.0-kg masses are located at points in the xy plane as shown in the figure.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m, y = 0?

Accepted Answer

A)   2.2 × 10−8 N
B)   1.9 × 10−8 N
C)   1.4 × 10−8 N
D)   1.6 × 10−8 N
E)   2.5 × 10−8 N

Question 15

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h). With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

Accepted Answer

A)  
B)  
C)  
D)  
E)

Question 16

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Accepted Answer

A)   its speed is decreasing.
B)   its angular momentum is increasing.
C)   the gravitational force does no work on the planet.
D)   all of the above are correct.
E)   none of the above is correct.

Question 17

Three 5.0-kg masses are located at points in the xy plane, as shown. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m?

Accepted Answer

A)   2.6 × 10−8 N
B)   2.0 × 10−8 N
C)   2.9 × 10−8 N
D)   2.3 × 10−8 N
E)   2.1 × 10−8 N

Question 18

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?

Accepted Answer

A)   There is no gravitational force on the satellite.
B)   There is no acceleration toward the center of the Earth.
C)   The satellite is in a state of free fall toward the Earth.
D)   There is a tangential force that helps the satellite keep up with the rotation of the Earth.
E)   The force toward the center of the Earth is balanced by a force away from the center of the Earth.

Question 19

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 107 m. If the radius of Roton is 5.0 × 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Accepted Answer

A)   31 m/s2
B)   27 m/s2
C)   34 m/s2
D)   40 m/s2
E)   19 m/s2

Question 20

Suppose the gravitational force of the Earth on a body was  . What escape velocity ve would a body need to escape the gravitational field of the Earth?

Accepted Answer

A)  e would a body need to escape the gravitational field of the Earth? 
A)     . 
B)     . 
C)     . 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
B)  e would a body need to escape the gravitational field of the Earth? 
A)     . 
B)     . 
C)     . 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
C)  e would a body need to escape the gravitational field of the Earth? 
A)     . 
B)     . 
C)     . 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
D)  e would a body need to escape the gravitational field of the Earth? 
A)     . 
B)     . 
C)     . 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .
E)  e would a body need to escape the gravitational field of the Earth? 
A)     . 
B)     . 
C)     . 
D)     . 
E)     ." class="answers-bank-image d-inline" rel="preload" > .

Exam 13: Universal Gravitation

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 10⁶ m, mass = 6.0 × 10²⁴ kg) with a period of 5.0 h?

Planet Zero has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 10⁷ J. What maximum distance from the center of Zero is achieved by the probe?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

Three galaxies, each of mass M = 4.0 × 10⁴¹ kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length. The magnitude of the force the other two galaxies exert on each galaxy is

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

A satellite revolves around the Earth in a circular orbit with a mechanical energy of J. What is its kinetic energy?

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

Planet Roton has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 10⁶ m from the center of Roton?

Knowing that at sea level and that R_E = 6.37 × 10⁶ m, we find that the value of g in at a distance R_E from the surface of the Earth is

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m, y = 0?

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h) . With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Three 5.0-kg masses are located at points in the xy plane, as shown. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m?

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 10⁷ m. If the radius of Roton is 5.0 × 10⁶ m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Suppose the gravitational force of the Earth on a body was . What escape velocity v_e would a body need to escape the gravitational field of the Earth?

Exam 13: Universal Gravitation

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 106 m, mass = 6.0 × 1024 kg) with a period of 5.0 h?

Planet Zero has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 107 J. What maximum distance from the center of Zero is achieved by the probe?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

Three galaxies, each of mass M = 4.0 × 1041 kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length. The magnitude of the force the other two galaxies exert on each galaxy is

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? MSUN = 2.0 × 1030 kg, rS-E = 1.5 × 108 km MMOON = 7.4 × 1022 kg, rM-E = 3.8 × 105 km

A satellite revolves around the Earth in a circular orbit with a mechanical energy of J. What is its kinetic energy?

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm3, and g = 9.80 m/s2 near the surface of the Earth. What value did Newton obtain for G?

Planet Roton has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 106 m from the center of Roton?

Knowing that at sea level and that RE = 6.37 × 106 m, we find that the value of g in at a distance RE from the surface of the Earth is

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 1030 kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s) . -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m, y = 0?

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h) . With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Three 5.0-kg masses are located at points in the xy plane, as shown. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m?

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 107 m. If the radius of Roton is 5.0 × 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Suppose the gravitational force of the Earth on a body was . What escape velocity ve would a body need to escape the gravitational field of the Earth?

What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 10⁶ m, mass = 6.0 × 10²⁴ kg) with a period of 5.0 h?

Planet Zero has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 10⁷ J. What maximum distance from the center of Zero is achieved by the probe?

Three galaxies, each of mass M = 4.0 × 10⁴¹ kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length. The magnitude of the force the other two galaxies exert on each galaxy is

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

Planet Roton has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 10⁶ m from the center of Roton?

Knowing that at sea level and that R_E = 6.37 × 10⁶ m, we find that the value of g in at a distance R_E from the surface of the Earth is

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 10⁷ m. If the radius of Roton is 5.0 × 10⁶ m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Suppose the gravitational force of the Earth on a body was . What escape velocity v_e would a body need to escape the gravitational field of the Earth?