Question 1

Kepler's laws: 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 period of revolution of Phobos to that of Deimos?

Accepted Answer

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

Question 2

Gravitational potential energy: A meteoroid, heading straight for Earth, has a speed of 14.8 km/s relative to the center of Earth as it crosses our moon's orbit, a distance of 3.84 × 108 m from the earth's center. What is the meteroid's speed as it hits the earth? You can neglect the effects of the moon, Earth's atmosphere, and any motion of the earth. (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg)

Accepted Answer

A)   18.5 km/s
B)   21.5 km/s
C)   32.4 km/s
D)   87.3 km/sE) A) and B)
F) B) and D)

Question 3

Gravitational potential energy: An astronaut is standing on the surface of a planetary satellite that has a radius of 1.74 × 106 m and a mass of 7.35 × 1022 kg. An experiment is planned where a projectile needs to be launched straight up from the surface. What must be the minimum initial speed of the projectile so it will reach a height of 2.55 × 106 m above this satellite's surface? (G = 6.67 × 10-11 N ∙ m2/kg2)

Accepted Answer

Question 4

Satellites: 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) A) and B)
G) All of the above C

Question 5

Satellites: 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 × 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) B) and C) C

Question 6

Satellites: Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 × 1026 kg and the rings have an average radius of 100,000 km. (G = 6.67 × 10-11 N ∙ m2/kg2)

Accepted Answer

A)   19.5 km/s
B)   27.5 km/s
C)   13.8 km/s
D)   1.95 km/sE) A) and B)
F) B) and C)

Question 7

Satellites: 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) A) and D)
G) A) and E)

Question 8

Escape speed: A certain planet has an escape speed V. If another planet of the same size has twice the mass as the first planet, its escape speed will be

Accepted Answer

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

Question 9

Gravitational potential energy: 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) None of the above
G) All of the above

Question 10

Gravitational force: If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become

Accepted Answer

A)   4 times what it now is.
B)   2 times what it now is.
C)   the same as it now is.
D)   1/2 of what it now is.
E)   1/4 of what it now is.F) None of the above
G) All of the above

Question 11

Weight and g: An object drops a distance h in a time of 6.3 s on the surface of the earth (neglecting air effects) . How long would it take the same object to drop the same distance on the surface of spherical asteroid X having a mass of 1.1 × 1022 kg and a radius of 4.0 × 105 m? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg, Rearth = 6.38 × 106 m)

Accepted Answer

A)   9.2 s
B)   6.3 s
C)   5.2 s
D)   12 s
E)   3.3 sF) C) and E)
G) B) and D)

Question 12

Kepler's laws: Ekapluto is an unknown planet that has two moons in circular orbits. The table summarizes the hypothetical data about the moons. 6 s. B)  6.0 × 106 s. C)  6.4 × 106 s. D)  6.9 × 106 s. E)  7.3 × 106 s." class="answers-bank-image d-inline" rel="preload" > The orbital period of Moon B is closest to

Accepted Answer

A)   5.6 × 106 s.
B)   6.0 × 106 s.
C)   6.4 × 106 s.
D)   6.9 × 106 s.
E)   7.3 × 106 s.F) C) and D)
G) B) and D)

Question 13

Weight and g: 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) A) and C)
G) B) and C) B

Question 14

Escape speed: What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt. Everest (an altitude of 8.85 km) ? The radius of the earth is 6.38 × 106 m.

Accepted Answer

A)   1.0007
B)   1.0014
C)   1.0001
D)   0.9986
E)   0.9993F) B) and E)
G) A) and D)

Question 15

Satellites: 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) None of the above
F) A) and D)

Question 16

Satellites: A satellite that weighs 4900 N on the launchpad travels around the earth's equator in a circular orbit with a period of 1.667 h. The earth's mass is 5.97 × 1024 kg, its equatorial radius is 6.3 × 106 m, and G = 6.67 × 10-11 N ∙ m2/kg2.
(a) Calculate the magnitude of the earth's gravitational force on the satellite.
(b) Determine the altitude of the satellite above the Earth's SURFACE

Accepted Answer

(a) 3910 N...

Question 17

Kepler's laws: 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) B) and E)
G) A) and D)

Question 18

Satellites: The reason an astronaut in an earth satellite feels weightless is that

Accepted Answer

A)   the astronaut is beyond the range of the earth's gravity.
B)   the astronaut is falling.
C)   the astronaut is at a point in space where the effects of the moon's gravity and the earth's gravity cancel.
D)   this is a psychological effect associated with rapid motion.
E)   the astronaut's acceleration is zero.F) A) and E)
G) A) and D)

Question 19

Gravitational force: An astronaut is in equilibrium when he is positioned  from the center of asteroid X and  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) B) and C)
F) B) and D)

Question 20

Satellites: 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

Exam 10: Dynamics of Rotational Motion

Kepler's laws: 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 period of revolution of Phobos to that of Deimos?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Satellites: 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
C

Satellites: 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 × 10^-11 N ∙ m²/kg².

Correct Answer
verified
C

Satellites: Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 × 10²⁶ kg and the rings have an average radius of 100,000 km. (G = 6.67 × 10^-11 N ∙ m²/kg²)

Correct Answer
verified

Satellites: 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

Escape speed: A certain planet has an escape speed V. If another planet of the same size has twice the mass as the first planet, its escape speed will be

Correct Answer
verified

Correct Answer
verified

Gravitational force: If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become

Correct Answer
verified

Correct Answer
verified

Kepler's laws: Ekapluto is an unknown planet that has two moons in circular orbits. The table summarizes the hypothetical data about the moons. The orbital period of Moon B is closest to

Correct Answer
verified

Weight and g: 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
B

Escape speed: What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt. Everest (an altitude of 8.85 km) ? The radius of the earth is 6.38 × 10⁶ m.

Correct Answer
verified

Satellites: 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

Correct Answer
verified
(a) 3910 N...
View Answer

Kepler's laws: 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

Satellites: The reason an astronaut in an earth satellite feels weightless is that

Correct Answer
verified

Gravitational force: An astronaut is in equilibrium when he is positioned from the center of asteroid X and 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

Satellites: 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

Exam 10: Dynamics of Rotational Motion

Kepler's laws: 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 period of revolution of Phobos to that of Deimos?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Satellites: 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 AnswerverifiedC

Satellites: 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 × 10-11 N ∙ m2/kg2.

Correct AnswerverifiedC

Satellites: Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 × 1026 kg and the rings have an average radius of 100,000 km. (G = 6.67 × 10-11 N ∙ m2/kg2)

Correct AnswerverifiedShow Answer

Satellites: 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

Escape speed: A certain planet has an escape speed V. If another planet of the same size has twice the mass as the first planet, its escape speed will be

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Gravitational force: If the mass of the earth and all objects on it were suddenly doubled, but the size remained the same, the acceleration due to gravity at the surface would become

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Kepler's laws: Ekapluto is an unknown planet that has two moons in circular orbits. The table summarizes the hypothetical data about the moons. The orbital period of Moon B is closest to

Correct AnswerverifiedShow Answer

Weight and g: 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 AnswerverifiedB

Escape speed: What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt. Everest (an altitude of 8.85 km) ? The radius of the earth is 6.38 × 106 m.

Correct AnswerverifiedShow Answer

Satellites: 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

Correct Answerverified(a) 3910 N...View AnswerShow Answer

Kepler's laws: 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

Satellites: The reason an astronaut in an earth satellite feels weightless is that

Correct AnswerverifiedShow Answer

Gravitational force: An astronaut is in equilibrium when he is positioned from the center of asteroid X and 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

Satellites: 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

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
C

Satellites: 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 × 10^-11 N ∙ m²/kg².

Correct Answer
verified
C

Satellites: Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 × 10²⁶ kg and the rings have an average radius of 100,000 km. (G = 6.67 × 10^-11 N ∙ m²/kg²)

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Weight and g: 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
B

Escape speed: What is the ratio of the escape speed of a rocket launched from sea level to the escape speed of one launched from Mt. Everest (an altitude of 8.85 km) ? The radius of the earth is 6.38 × 10⁶ m.

Correct Answer
verified

Satellites: 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

Correct Answer
verified
(a) 3910 N...
View Answer

Kepler's laws: 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
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Correct Answer
verified

Correct Answer
verified

Correct Answer
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