Exam 13: Newtons Theory of Gravity

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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.)

(Multiple Choice)

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Question 41

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.

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Question 42

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,M_earth = 5.97 × 10²⁴ kg,the polar radius of the earth is 6357 km)

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Question 43

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

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Question 44

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)

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Question 45

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,M_earth = 5.97 × 10²⁴ kg,R_earth = 6.38 × 10⁶ m)

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Question 46

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

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Question 47

A satellite is in circular orbit at an altitude of 1500 km above the surface of a nonrotating planet with an orbital speed of 9.2 km/s.The minimum speed needed to escape from the surface of the planet is 14.9 km/s,and G = 6.67 × 10^-11 N ∙ m²/kg².The orbital period of the satellite is closest to

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Question 48

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?

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Question 49

The radius of the earth is R.At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s²?

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Question 50

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Exam 13: Newtons Theory of Gravity

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.)

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.

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)

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

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)

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

A satellite is in circular orbit at an altitude of 1500 km above the surface of a nonrotating planet with an orbital speed of 9.2 km/s.The minimum speed needed to escape from the surface of the planet is 14.9 km/s,and G = 6.67 × 10-11 N ∙ m2/kg2.The orbital period of the satellite is closest to

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?

The radius of the earth is R.At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s2?

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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.)

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.

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)

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?

The radius of the earth is R.At what distance above the earth's surface will the acceleration of gravity be 4.9 m/s²?