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If you stood on a planet having a mass four times that of Earth's mass,and a radius two times that of Earth's radius,you would weigh


A) the same as you do on Earth.
B) two times more than you do on Earth.
C) two times less than you do on Earth.
D) four times more than you do on Earth.

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  Mithra is an unknown planet that has two airless moons,A and B,in circular orbits around it.The table summarizes the hypothetical data about these moons.If you dropped a laser at the surface of Moon B,at what rate would it accelerate toward the ground? (G = 6.67 × 10<sup>-11</sup> N ∙ m<sup>2</sup>/kg<sup>2</sup>)  A) 0.10 m/s<sup>2</sup> B) 0.15 m/s<sup>2</sup> C) 0.20 m/s<sup>2</sup> D) 0.25 m/s<sup>2</sup> E) 0.30 m/s<sup>2</sup> Mithra is an unknown planet that has two airless moons,A and B,in circular orbits around it.The table summarizes the hypothetical data about these moons.If you dropped a laser at the surface of Moon B,at what rate would it accelerate toward the ground? (G = 6.67 × 10-11 N ∙ m2/kg2)


A) 0.10 m/s2
B) 0.15 m/s2
C) 0.20 m/s2
D) 0.25 m/s2
E) 0.30 m/s2

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At a given point above Earth's surface,the acceleration due to gravity is equal to At a given point above Earth's surface,the acceleration due to gravity is equal to   What is the altitude of this point above Earth's surface? (G = 6.67 × 10<sup>-11</sup> N ∙ m<sup>2</sup>/kg<sup>2</sup>,M<sub>earth</sub> = 5.97 × 10<sup>24</sup> kg,R<sub>earth</sub> = 6.38 × 10<sup>6</sup> m)  A) 770 km B) 970 km C) 1,500 km D) 2,000 km E) 2,400 km What is the altitude of this point above Earth's surface? (G = 6.67 × 10-11 N ∙ m2/kg2,Mearth = 5.97 × 1024 kg,Rearth = 6.38 × 106 m)


A) 770 km
B) 970 km
C) 1,500 km
D) 2,000 km
E) 2,400 km

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What would be the weight of a 59.1-kg astronaut on a planet twice as massive as Earth and having twice Earth's radius?


A) 580 N
B) 290 N
C) 1160 N
D) 118 N
E) 1200 N

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The acceleration due to gravity on Planet A is one-sixth what it is on Planet B,and the radius of the Planet A is one-fourth that of Planet B.The mass of Planet A is what fraction of the mass of Planet B?


A) 1/6
B) 1/16
C) 1/24
D) 1/96
E) 1/12

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An object weighs 432 N on the surface of the earth.The earth has radius R.If the object is raised to a height of 3R above the earth's surface,what is its weight?


A) 108 N
B) 48.0 N
C) 27.0 N
D) 305 N
E) 144 N

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Two small objects,with masses m and M,are originally a distance r apart,and the gravitational force on each one has magnitude F.The second object has its mass changed to 2M,and the distance is changed to r/4.What is the magnitude of the new gravitational force?


A) F/32
B) F/16
C) 16F
D) 32F
E) 2F

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The innermost satellite of Jupiter orbits the planet with a radius of 422 × 103 km and a period of 1.77 days.What is the mass of Jupiter? (G = 6.67 × 10-11 N ∙ m2/kg2)


A) 1.33 × 1027 kg
B) 1.50 × 1027 kg
C) 1.72 × 1027 kg
D) 1.89 × 1027 kg
E) 3.08 × 1027 kg

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What would be the weight of a 59.1-kg astronaut on a planet with the same density as Earth and having twice Earth's radius?


A) 580 N
B) 290 N
C) 1160 N
D) 2320 N
E) 1200 N

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The mass of the Moon is 7.4 × 1022 kg,its radius is 1.74 × 103 km,and it has no atmosphere.What is the acceleration due to gravity at the surface of the Moon? (G = 6.67 × 10-11 N ∙ m2/kg2)


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

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Europa,a satellite of Jupiter,has an orbital diameter of 1.34 × 109 m and a period of 3.55 days.What is the mass of Jupiter? (G = 6.67 × 10-11 N ∙ m2/kg2)


A) 1.53 × 1027 kg
B) 1.65 × 1027 kg
C) 1.07 × 1027 kg
D) 1.89 × 1027 kg
E) 3.08 × 1027 kg

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Three identical 50-kg balls are held at the corners of an equilateral triangle,30 cm on each side.If one of the balls is released,what is the magnitude of 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)


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/s2

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Suppose NASA wants a satellite to revolve around Earth 5 times a day.What should be the radius of its orbit if we neglect the presence of the Moon? (G = 6.67 × 10-11 N ∙ m2/kg2,Mearth = 5.97 × 1024 kg)


A) 1.44 × 107 m
B) 0.69 × 107 m
C) 7.22 × 107 m
D) 2.11 × 107 m

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