Question 1

By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5.0 km if we neglect the earth's rotational effects? (The mean radius of the Earth is 6.38 × 106 m,G = 6.67 × 10-11 N • m2/kg2.)

Accepted Answer

A)   -0.60 N
B)   -1.5 N
C)   -2.6 N
D)   -3.6 N
E)   -5.2 NF) C) and E)
G) All of the above

Question 2

A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

Accepted Answer

A) True 
 B)False

Question 3

A 910-kg object is released from rest at an altitude of 1200 km above the north pole of the earth.If we ignore atmospheric friction,with what speed does the object strike the surface of the earth?
(G = 6.67 × 10-11 N • m2/kg2,Mearth = 5.97 × 1024 kg,the polar radius of the earth is 6357 km)

Accepted Answer

A)   4.5 km/s
B)   2.2 km/s
C)   2.7 km/s
D)   3.2 km/s
E)   4.8 km/sF) A) and B)
G) C) and D)

Question 4

An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km from the center of asteroid Y,along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids?

Accepted Answer

A)   0.0581
B)   17.2
C)   0.241
D)   4.15E) A) and B)
F) C) and D)

Question 5

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 1024 kg,G = 6.67 × 10-11 N • m2/kg2,and you can neglect the presence of the moon.)

Accepted Answer

A)   1.44 × 107 m
B)   0.690 × 107 m
C)   7.22 × 107 m
D)   2.11 × 107 mE) B) and D)
F) A) and D)

Question 6

What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 1023 kg,its radius is 3.40 × 106 m,and G = 6.67 × 10-11 N • m2/kg2.

Accepted Answer

A)   1.75 h
B)   1.25 h
C)   1.15 h
D)   1.00 h
E)   1.45 hF) C) and E)
G) B) and C)

Question 7

A certain spherical asteroid has a mass of 3.5 × 1016 kg and a radius of 8.8 km.What is the minimum speed needed to escape from the surface of this asteroid? (G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)   23 m/s
B)   16 m/s
C)   520 m/s
D)   730 m/sE) A) and B)
F) All of the above A

Question 8

A baseball is located at the surface of the earth.Which statements about it are correct? (There may be more than one correct choice.)

Accepted Answer

A)   The earth exerts a much greater gravitational force on the ball than the ball exerts on the earth.
B)   The ball exerts a greater gravitational force on the earth than the earth exerts on the ball.
C)   The gravitational force on the ball due to the earth is exactly the same as the gravitational force on the earth due to the ball.
D)   The gravitational force on the ball is independent of the mass of the ball.
E)   The gravitational force on the ball is independent of the mass of the earth.F) B) and D)
G) A) and C) C

Question 9

A huge cannon is assembled on an airless planet having insignificant axial spin.The planet has a radius of 5.00 × 106 m and a mass of 3.95 × 1023 kg.The cannon fires a projectile straight up at 2000 m/s. An observation satellite orbits the planet at a height of 1000 km.What is the projectile's speed as it passes the satellite? (G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)   1500 m/s
B)   1380 m/s
C)   1610 m/s
D)   1280 m/sE) B) and C)
F) A) and C)

Question 10

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 h
B)   12.0 h
C)   33.1 h
D)   9.80 h
E)   27.0 hF) C) and D)
G) None of the above

Question 11

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface. The mass of the earth is 5.97 × 1024 kg,the radius of the earth is 6.38 × 106 m,and
G = 6.67 × 10-11 N • m2/kg2.Assuming a circular orbit,
(a)what is the period of the International Space Station's orbit?
(b)what is the speed of the International Space Station in its orbit?

Accepted Answer

(a)5.52 × ...

Question 12

A satellite of mass m has an orbital period T when it is in a circular orbit of radius R around the earth.If the satellite instead had mass 4m,its orbital period would be

Accepted Answer

A)   4T.
B)   2T.
C)   T.
D)   T/2.
E)   T/4.F) All of the above
G) C) and D)

Question 13

A very small round ball is located near a large solid sphere of uniform density.The force that the large sphere exerts on the ball

Accepted Answer

A)   is exactly the same as it would be if all the mass of the sphere were concentrated at the center of the sphere.
B)   is approximately the same as it would be if all the mass of the sphere were concentrated at the center of the sphere.
C)   is independent of the mass of the ball.
D)   is independent of the mass of the sphere.
E)   can only be calculated using calculus.F) B) and D)
G) B) and E)

Question 14

Two planets having equal masses are in circular orbit around a star.Planet A has a smaller orbital radius than planet B.Which statement is true?

Accepted Answer

A)   Planet A has more kinetic energy, less potential energy, and less mechanical energy (potential plus kinetic)  than planet B.
B)   Planet A has more kinetic energy, more potential energy, and more mechanical energy (potential plus kinetic)  than planet B.
C)   Planet A has more kinetic energy, less potential energy, and more mechanical energy (potential plus kinetic)  than planet B.
D)   Planet A and planet B have the same amount of mechanical energy (potential plus kinetic) .E) A) and B)
F) A) and C)

Question 15

The moons of Mars,Phobos (Fear) and Deimos (Terror) ,are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the orbital speed of Phobos to that of Deimos?

Accepted Answer

A)   0.2528
B)   0.3998
C)   1.582
D)   2.858
E)   3.956F) C) and E)
G) B) and D)

Question 16

A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

Accepted Answer

A)   4T.
B)   2T.
C)   T 
D)   T/2.
E)   T/4.F) B) and D)
G) A) and E)

Question 17

A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface.If this object is moved 500 km farther from the planet,the gravitational force on it will be closest to

Accepted Answer

A)   75 N.
B)   71 N.
C)   56 N.
D)   50 N.
E)   25 N.F) A) and B)
G) D) and E) C

Question 18

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
B)   3.90 × 107
C)   9.24 × 107
D)   8.00 × 107
E)   7.27 × 107F) D) and E)
G) B) and E)

Question 19

You are the science officer on a visit to a distant solar system.Prior to landing on a planet you measure its diameter to be 1.8 × 107 m and its rotation period to be 22.3 hours.You have previously determined that the planet orbits 1.8 × 1011 m from its star with a period of 402 earth days.Once on the surface you find that the acceleration due to gravity is 59.7 m/s2.What are the mass of (a) the planet and (b) the star? (G = 6.67 × 10-11 N • m2/kg2.)

Accepted Answer

A)   (a)  7.2 kg × 1025 kg, (b)  2.9 kg × 1030 kg
B)   (a)  1.3 kg × 1026 kg, (b)  2.9 kg × 1030 kg
C)   (a)  7.2 kg × 1025 kg, (b)  1.7 kg × 1030 kg
D)   (a)  1.3 kg × 1026 kg, (b)  1.7 kg × 1030 kgE) A) and B)
F) B) and D)

Question 20

Three identical very small 50-kg masses are held at the corners of an equilateral triangle,0.30 m on each side.If one of the masses is released,what is its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses? (G = 6.67 × 10-11 N • m2/kg2)

Accepted Answer

A)   3.7 × 10-8 m/s2
B)   2.5 × 10-8 m/s2
C)   1.9 × 10-8 m/s2
D)   4.2 × 10-8 m/s2
E)   6.4 × 10-8 m/s2F) C) and D)
G) B) and D)

Exam 13: Gravity

By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5.0 km if we neglect the earth's rotational effects? (The mean radius of the Earth is 6.38 × 10⁶ m,G = 6.67 × 10^-11 N • m²/kg².)

Correct Answer
verified

A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

Correct Answer
verified

Correct Answer
verified

An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km from the center of asteroid Y,along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids?

Correct Answer
verified

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 10²⁴ kg,G = 6.67 × 10^-11 N • m²/kg²,and you can neglect the presence of the moon.)

Correct Answer
verified

What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 10²³ kg,its radius is 3.40 × 10⁶ m,and G = 6.67 × 10^-¹¹N • m²/kg².

Correct Answer
verified

A certain spherical asteroid has a mass of 3.5 × 10¹⁶ kg and a radius of 8.8 km.What is the minimum speed needed to escape from the surface of this asteroid? (G = 6.67 × 10^-11 N • m²/kg²)

Correct Answer
verified
A

A baseball is located at the surface of the earth.Which statements about it are correct? (There may be more than one correct choice.)

Correct Answer
verified
C

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
(a)5.52 × ...
View Answer

A satellite of mass m has an orbital period T when it is in a circular orbit of radius R around the earth.If the satellite instead had mass 4m,its orbital period would be

Correct Answer
verified

A very small round ball is located near a large solid sphere of uniform density.The force that the large sphere exerts on the ball

Correct Answer
verified

Two planets having equal masses are in circular orbit around a star.Planet A has a smaller orbital radius than planet B.Which statement is true?

Correct Answer
verified

The moons of Mars,Phobos (Fear) and Deimos (Terror) ,are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the orbital speed of Phobos to that of Deimos?

Correct Answer
verified

A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

Correct Answer
verified

A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface.If this object is moved 500 km farther from the planet,the gravitational force on it will be closest to

Correct Answer
verified
C

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

Correct Answer
verified

Exam 13: Gravity

By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5.0 km if we neglect the earth's rotational effects? (The mean radius of the Earth is 6.38 × 106 m,G = 6.67 × 10-11 N • m2/kg2.)

Correct AnswerverifiedShow Answer

A satellite is orbiting the earth.If a payload of material is added until it doubles the satellite's mass,the earth's pull of gravity on this satellite will double but the satellite's orbit will not be affected.

Correct AnswerverifiedShow Answer

A 910-kg object is released from rest at an altitude of 1200 km above the north pole of the earth.If we ignore atmospheric friction,with what speed does the object strike the surface of the earth? (G = 6.67 × 10-11 N • m2/kg2,Mearth = 5.97 × 1024 kg,the polar radius of the earth is 6357 km)

Correct AnswerverifiedShow Answer

An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 581 km from the center of asteroid Y,along the straight line joining the centers of the asteroids.What is the ratio of the masses X/Y of the asteroids?

Correct AnswerverifiedShow Answer

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 1024 kg,G = 6.67 × 10-11 N • m2/kg2,and you can neglect the presence of the moon.)

Correct AnswerverifiedShow Answer

What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 1023 kg,its radius is 3.40 × 106 m,and G = 6.67 × 10-11 N • m2/kg2.

Correct AnswerverifiedShow Answer

A certain spherical asteroid has a mass of 3.5 × 1016 kg and a radius of 8.8 km.What is the minimum speed needed to escape from the surface of this asteroid? (G = 6.67 × 10-11 N • m2/kg2)

Correct AnswerverifiedA

A baseball is located at the surface of the earth.Which statements about it are correct? (There may be more than one correct choice.)

Correct AnswerverifiedC

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

Correct Answerverified(a)5.52 × ...View AnswerShow Answer

A satellite of mass m has an orbital period T when it is in a circular orbit of radius R around the earth.If the satellite instead had mass 4m,its orbital period would be

Correct AnswerverifiedShow Answer

A very small round ball is located near a large solid sphere of uniform density.The force that the large sphere exerts on the ball

Correct AnswerverifiedShow Answer

Two planets having equal masses are in circular orbit around a star.Planet A has a smaller orbital radius than planet B.Which statement is true?

Correct AnswerverifiedShow Answer

The moons of Mars,Phobos (Fear) and Deimos (Terror) ,are very close to the planet compared to Earth's Moon.Their orbital radii are 9,378 km and 23,459 km respectively.What is the ratio of the orbital speed of Phobos to that of Deimos?

Correct AnswerverifiedShow Answer

A satellite in a circular orbit of radius R around planet X has an orbital period T.If Planet X had one-fourth as much mass,the orbital period of this satellite in an orbit of the same radius would be

Correct AnswerverifiedShow Answer

A small planet having a radius of 1000 km exerts a gravitational force of 100 N on an object that is 500 km above its surface.If this object is moved 500 km farther from the planet,the gravitational force on it will be closest to

Correct AnswerverifiedC

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

Correct AnswerverifiedShow Answer

Three identical very small 50-kg masses are held at the corners of an equilateral triangle,0.30 m on each side.If one of the masses is released,what is its initial acceleration if the only forces acting on it are the gravitational forces due to the other two masses? (G = 6.67 × 10-11 N • m2/kg2)

Correct AnswerverifiedShow Answer

By how many newtons does the weight of a 100-kg person change when he goes from sea level to an altitude of 5.0 km if we neglect the earth's rotational effects? (The mean radius of the Earth is 6.38 × 10⁶ m,G = 6.67 × 10^-11 N • m²/kg².)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Suppose we want a satellite to revolve around the earth 5 times a day.What should be the radius of its orbit? (The mass of the earth is 5.97 × 10²⁴ kg,G = 6.67 × 10^-11 N • m²/kg²,and you can neglect the presence of the moon.)

Correct Answer
verified

What is the period (in hours) of a satellite circling Mars 100 km above the planet's surface? The mass of Mars is 6.42 × 10²³ kg,its radius is 3.40 × 10⁶ m,and G = 6.67 × 10^-¹¹N • m²/kg².

Correct Answer
verified

A certain spherical asteroid has a mass of 3.5 × 10¹⁶ kg and a radius of 8.8 km.What is the minimum speed needed to escape from the surface of this asteroid? (G = 6.67 × 10^-11 N • m²/kg²)

Correct Answer
verified
A

Correct Answer
verified
C

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
(a)5.52 × ...
View Answer

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
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Correct Answer
verified

Correct Answer
verified
C

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

Correct Answer
verified