Question 1

Apparent weightlessness can be experienced in freely falling elevator.

Accepted Answer

A) True 
 B)False

Question 2

During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass of 7.36 × 1022 kg; the Earth has a mass of 5.98 × 1024 kg; and the Sun has a mass of 1.99 × 1030 kg. The separation between the Moon and the Earth is given by 3.84 × 108 m; the separation between the Earth and the Sun is given by 1.496 × 1011 m.
(a) Calculate the force exerted on the Earth by the Moon.
(b) Calculate the force exerted on the Earth by the Sun.
(c) Calculate the net force exerted on the Earth by the Moon and the Sun.

Accepted Answer

(a) 1.99 × 10²⁰ N, tow...

Question 3

A satellite orbits just above the Earth's surface. (a) Calculate the period of the satellite. (b) Calculate the speed of the satellite.

Accepted Answer

(a) 5040 s...

Question 4

State Kepler's third law of planetary motion.

Accepted Answer

The ratio of the squares of the periods of any two planets revolving about the Sun is equal to the ratio of the cubes of their semimajor axes.

Question 5

A 2.00 × 108-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m.

Accepted Answer

A)  4.00 × 10-4 N 8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" > - 5.00 × 10-4 N8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" >
B)  4.00 × 10-4 N 8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" > + 5.00 × 10-4 N8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" >
C)  -4.00 × 10-4 N 8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" > + 5.00 × 10-4 N8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" >
D)  4.00 × 10-6 N 8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" > - 2.50 × 10-6 N8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" >
E)  4.00 × 10-6 N 8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" > + 2.50 × 10-6 N8-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m. 
A)  4.00 × 10-4 N   - 5.00 × 10-4 N   
B)  4.00 × 10-4 N   + 5.00 × 10-4 N   
C)  -4.00 × 10-4 N   + 5.00 × 10-4 N   
D)  4.00 × 10-6 N   - 2.50 × 10-6 N   
E)  4.00 × 10-6 N   + 2.50 × 10-6 N  " class="answers-bank-image d-inline" rel="preload" >F) A) and B)
G) A) and C)

Question 6

You have discovered a new asteroid, which has a moon in an elliptical orbit around it. From a series of observations, you establish that the closest approach occurs when the moon is 49,000 m from the asteroid, the furthest separation is 98,000 m, and the speed of the moon at the point of closest approach is 7.50 m/s. What is the mass of the asteroid? G = 6.67 x 10-11 N•m2/kg2.

Accepted Answer

A)  4.25 × 1016 kg
B)  9.87 × 1016 kg
C)  3.10 × 1016 kg
D)  2.04 × 1016 kg
E)  5.05 × 1016 kgF) B) and E)
G) C) and E)

Question 7

Two massive objects are fixed in position. A third object is placed directly between the first two at the position at which the total gravitational force on the third object due to the two massive objects is zero. The object is displaced slightly toward one of the two massive objects, the total gravitational force on the third object is now

Accepted Answer

A)  zero.
B)  in a direction which depends on which of the massive objects has a greater mass.
C)  in the same direction the object is displaced.
D)  in the opposite direction to the displacement of the object.
E)  perpendicular to the displacement of the object.F) B) and D)
G) A) and E)

Question 8

Uranus completes one revolution about its own axis every 17.24 hours. What is the radius of the orbit required for a satellite to revolve about Uranus with the same period? Uranus has a mass of 8.69 × 1025 kg and G = 6.67 x 10-11 N•m2/kg2.

Accepted Answer

A)  8.27 × 107 m
B)  3.41 × 108 m
C)  2.56 × 108 m
D)  9.03 × 107 m
E)  1.04 × 107 mF) A) and B)
G) A) and C)

Question 9

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 18.0 hours and an orbital radius 2.00 × 107 m. The second planet has an orbital radius 3.00 × 107 m. What is the period of the second satellite?

Accepted Answer

A)  60.8 hours
B)  12.0 hours
C)  33.1 hours
D)  9.80 hours
E)  27.0 hoursF) C) and D)
G) A) and E)

Question 10

A thin uniform spherical shell exerts a force on a particle located outside of it as if all the shell's mass were located at the center.

Accepted Answer

A) True 
 B)False  True

Question 11

The gravitational force exerted on a particle outside a sphere with a spherically symmetric mass distribution is the same as if the entire mass of the sphere was concentrated at its center.

Accepted Answer

A) True 
 B)False

Question 12

The gravitational force that the Sun exerts on Earth is much larger than the gravitational force that Earth exerts on the Sun.

Accepted Answer

A) True 
 B)False

Question 13

The mass of the Moon is 7.4 × 1022 kg and its mean radius is 1.75 × 103 km. What is the acceleration due to gravity at the surface of the Moon?

Accepted Answer

A)  2.8 × 106 m/s2 
B)  9.8 m/s2 
C)  4.9 m/s2 
D)  1.6 m/s2 
E)  0.80 m/s2 F) A) and B)
G) A) and C)

Question 14

Planet Z-34 has a mass equal to one-third that of Earth and a radius equal to one-third that of Earth. With g representing, as usual, the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the surface of Z-34 is

Accepted Answer

A)  g/3.
B)  3 g.
C)  6 g.
D)  g/9.
E)  9 g.F) A) and E)
G) D) and E)

Question 15

List the fundamental forces in nature.

Accepted Answer

gravitational force,...

Question 16

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 12.0 hours and an orbital radius 6.00 × 107 m. The second planet has a period 16.0 hours. What is the orbital radius of the second satellite?

Accepted Answer

A)  4.50 × 107 m
B)  3.90 × 107 m
C)  9.24 × 107 m
D)  8.00 × 107 m
E)  7.27 × 107 mF) A) and B)
G) C) and D)

Question 17

The acceleration of gravity can vary locally on the Earth's surface because of the presence of rocks of different densities.

Accepted Answer

A) True 
 B)False

Question 18

Jupiter completes one revolution about its own axis every 9.92 hours. What is the radius of the orbit required for a satellite to revolve about Jupiter with the same period? Jupiter has a mass of 1.90 × 1027 kg and G = 6.67 x 10-11 N•m2/kg2.

Accepted Answer

A)  1.04 × 107 m
B)  2.26 × 109 m
C)  1.60 × 108 m
D)  3.41 × 108 m
E)  7.45 × 108 mF) All of the above
G) A) and B) C

Question 19

Sputnik I was launched into orbit around Earth in 1957. It had a perigee (the closest approach to Earth, measured from Earth's center)  of 6.81 × 106 m and an apogee (the furthest point from Earth's center)  of 7.53 × 106 m. What was its speed when it was at its perigee? The mass of Earth is 5.97 × 1024 kg and
G = 6.67 x 10-11 N•m2/kg2.

Accepted Answer

A)  7.18 × 103 m/s
B)  7.84 × 103 m/s
C)  8.23 × 103 m/s
D)  11.0 × 103 m/s
E)  13.4 × 103 m/sF) A) and D)
G) A) and E)

Question 20

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 2R from the center of the spherical shell?

Accepted Answer

A)  15πGρR/7
B)  32πGρR/5
C)  25πGρR/12
D)  7πGρR/6
E)  7πGρR/3F) B) and C)
G) None of the above

Exam 6: Gravitation and Newtons6 Synthesis

Apparent weightlessness can be experienced in freely falling elevator.

Correct Answer
verified

Correct Answer
verified
(a) 1.99 × 10²⁰ N, tow...
View Answer

A satellite orbits just above the Earth's surface. (a) Calculate the period of the satellite. (b) Calculate the speed of the satellite.

Correct Answer
verified
(a) 5040 s...
View Answer

State Kepler's third law of planetary motion.

Correct Answer
verified
The ratio of the squares of the periods of any two planets revolving about the Sun is equal to the ratio of the cubes of their semimajor axes.

A 2.00 × 10⁸-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 10⁸-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Uranus completes one revolution about its own axis every 17.24 hours. What is the radius of the orbit required for a satellite to revolve about Uranus with the same period? Uranus has a mass of 8.69 × 10²⁵ kg and G = 6.67 x 10^-11 N•m²/kg².

Correct Answer
verified

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 18.0 hours and an orbital radius 2.00 × 10⁷ m. The second planet has an orbital radius 3.00 × 10⁷ m. What is the period of the second satellite?

Correct Answer
verified

A thin uniform spherical shell exerts a force on a particle located outside of it as if all the shell's mass were located at the center.

Correct Answer
verified
True

The gravitational force exerted on a particle outside a sphere with a spherically symmetric mass distribution is the same as if the entire mass of the sphere was concentrated at its center.

Correct Answer
verified

The gravitational force that the Sun exerts on Earth is much larger than the gravitational force that Earth exerts on the Sun.

Correct Answer
verified

The mass of the Moon is 7.4 × 10²² kg and its mean radius is 1.75 × 10³ km. What is the acceleration due to gravity at the surface of the Moon?

Correct Answer
verified

Planet Z-34 has a mass equal to one-third that of Earth and a radius equal to one-third that of Earth. With g representing, as usual, the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the surface of Z-34 is

Correct Answer
verified

List the fundamental forces in nature.

Correct Answer
verified
gravitational force,...
View Answer

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 12.0 hours and an orbital radius 6.00 × 10⁷ m. The second planet has a period 16.0 hours. What is the orbital radius of the second satellite?

Correct Answer
verified

The acceleration of gravity can vary locally on the Earth's surface because of the presence of rocks of different densities.

Correct Answer
verified

Jupiter completes one revolution about its own axis every 9.92 hours. What is the radius of the orbit required for a satellite to revolve about Jupiter with the same period? Jupiter has a mass of 1.90 × 10²⁷ kg and G = 6.67 x 10^-11 N•m²/kg².

Correct Answer
verified
C

Correct Answer
verified

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 2R from the center of the spherical shell?

Correct Answer
verified

Exam 6: Gravitation and Newtons6 Synthesis

Apparent weightlessness can be experienced in freely falling elevator.

Correct AnswerverifiedShow Answer

Correct Answerverified(a) 1.99 × 1020 N, tow...View AnswerShow Answer

A satellite orbits just above the Earth's surface. (a) Calculate the period of the satellite. (b) Calculate the speed of the satellite.

Correct Answerverified(a) 5040 s...View AnswerShow Answer

State Kepler's third law of planetary motion.

Correct AnswerverifiedThe ratio of the squares of the periods of any two planets revolving about the Sun is equal to the ratio of the cubes of their semimajor axes.

A 2.00 × 108-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 108-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m.

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Uranus completes one revolution about its own axis every 17.24 hours. What is the radius of the orbit required for a satellite to revolve about Uranus with the same period? Uranus has a mass of 8.69 × 1025 kg and G = 6.67 x 10-11 N•m2/kg2.

Correct AnswerverifiedShow Answer

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 18.0 hours and an orbital radius 2.00 × 107 m. The second planet has an orbital radius 3.00 × 107 m. What is the period of the second satellite?

Correct AnswerverifiedShow Answer

A thin uniform spherical shell exerts a force on a particle located outside of it as if all the shell's mass were located at the center.

Correct AnswerverifiedTrue

The gravitational force exerted on a particle outside a sphere with a spherically symmetric mass distribution is the same as if the entire mass of the sphere was concentrated at its center.

Correct AnswerverifiedShow Answer

The gravitational force that the Sun exerts on Earth is much larger than the gravitational force that Earth exerts on the Sun.

Correct AnswerverifiedShow Answer

The mass of the Moon is 7.4 × 1022 kg and its mean radius is 1.75 × 103 km. What is the acceleration due to gravity at the surface of the Moon?

Correct AnswerverifiedShow Answer

Planet Z-34 has a mass equal to one-third that of Earth and a radius equal to one-third that of Earth. With g representing, as usual, the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the surface of Z-34 is

Correct AnswerverifiedShow Answer

List the fundamental forces in nature.

Correct Answerverifiedgravitational force,...View AnswerShow Answer

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 12.0 hours and an orbital radius 6.00 × 107 m. The second planet has a period 16.0 hours. What is the orbital radius of the second satellite?

Correct AnswerverifiedShow Answer

The acceleration of gravity can vary locally on the Earth's surface because of the presence of rocks of different densities.

Correct AnswerverifiedShow Answer

Jupiter completes one revolution about its own axis every 9.92 hours. What is the radius of the orbit required for a satellite to revolve about Jupiter with the same period? Jupiter has a mass of 1.90 × 1027 kg and G = 6.67 x 10-11 N•m2/kg2.

Correct AnswerverifiedC

Correct AnswerverifiedShow Answer

A spherical shell of inner diameter R and outer diameter 3R has a uniform density ρ. What is the magnitude of the gravitational acceleration a distance 2R from the center of the spherical shell?

Correct AnswerverifiedShow Answer

Correct Answer
verified

Correct Answer
verified
(a) 1.99 × 10²⁰ N, tow...
View Answer

Correct Answer
verified
(a) 5040 s...
View Answer

Correct Answer
verified
The ratio of the squares of the periods of any two planets revolving about the Sun is equal to the ratio of the cubes of their semimajor axes.

A 2.00 × 10⁸-kg mass is located at x = 100 m, y = 0.00 m. A 5.00 × 10⁸-kg mass is located at x = 0.00 m, y = 200 m. Determine the gravitational force on a 3.00-kg mass located at x = 0.00 m, y = 0.00 m.

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Uranus completes one revolution about its own axis every 17.24 hours. What is the radius of the orbit required for a satellite to revolve about Uranus with the same period? Uranus has a mass of 8.69 × 10²⁵ kg and G = 6.67 x 10^-11 N•m²/kg².

Correct Answer
verified

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 18.0 hours and an orbital radius 2.00 × 10⁷ m. The second planet has an orbital radius 3.00 × 10⁷ m. What is the period of the second satellite?

Correct Answer
verified

Correct Answer
verified
True

Correct Answer
verified

Correct Answer
verified

The mass of the Moon is 7.4 × 10²² kg and its mean radius is 1.75 × 10³ km. What is the acceleration due to gravity at the surface of the Moon?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
gravitational force,...
View Answer

A planet has two small satellites in circular orbits around the planet. The first satellite has a period 12.0 hours and an orbital radius 6.00 × 10⁷ m. The second planet has a period 16.0 hours. What is the orbital radius of the second satellite?

Correct Answer
verified

Correct Answer
verified

Jupiter completes one revolution about its own axis every 9.92 hours. What is the radius of the orbit required for a satellite to revolve about Jupiter with the same period? Jupiter has a mass of 1.90 × 10²⁷ kg and G = 6.67 x 10^-11 N•m²/kg².

Correct Answer
verified
C

Correct Answer
verified

Correct Answer
verified