What is the distance from the center of the Moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal? The mass of Earth is 5.97 × 1024 kg, the mass of the Moon is 7.35 × 1022 kg, the center-to-center distance between Earth and the Moon is 3.84 × 108 m, and G = 6.67 × 10-11 N ∙ m2/kg2.

A) 3.45 × 108 m B) 3.84 × 107 m C) 4.69 × 106 m D) 3.83 × 106 m E) 4.69 × 107 m A) 3.45 × 108 m B) 3.84 × 107 m C) 4.69 × 106 m D) 3.83 × 106 m E) 4.69 × 107 m

Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 1026 kg, and use an orbital radius of 1.00 x 105 km. (G = 6.67 × 10-11 N ∙ m2/kg2)

A) 19.5 km/s B) 27.5 km/s C) 13.8 km/s A) 19.5 km/s B) 27.5 km/s C) 13.8 km/s

At their closest approach, Venus and Earth are 4.20 × 1010 m apart. The mass of Venus is 4.87 × 1024 kg, the mass of Earth is 5.97 × 1024 kg, and G = 6.67 × 10-11 N ∙ m2/kg2. What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

A) 1.10 × 1018 N B) 4.62 × 1028 N C) 5.43 × 1026 N D) 6.30 × 1020 N E) 1.72 × 1019 N A) 1.10 × 1018 N B) 4.62 × 1028 N C) 5.43 × 1026 N D) 6.30 × 1020 N E) 1.72 × 1019 N

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 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

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 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

Exam 6: Gravity

If you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out. This happens because an outward force balances the pull of gravity on the water.

(True/False)

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Question 41

When a car goes around a banked circular curve at the proper speed speed for the banking angle, what force cause it to follow the circular path?

(Multiple Choice)

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Question 42

A spherically symmetric planet has four times the earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

(Multiple Choice)

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Question 43

What is the distance from the center of the Moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal? The mass of Earth is 5.97 × 10²⁴ kg, the mass of the Moon is 7.35 × 10²² kg, the center-to-center distance between Earth and the Moon is 3.84 × 10⁸ m, and G = 6.67 × 10^-11 N ∙ m²/kg².

(Multiple Choice)

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Question 44

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

(Multiple Choice)

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Question 45

A satellite of mass 500 kg orbits the earth with a period of 6,000 s. The earth has a mass of 5.97 × 10²⁴kg, a radius of 6.38 × 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.

(Short Answer)

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Question 46

Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 10²⁶ kg, and use an orbital radius of 1.00 x 10⁵ km. (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 47

At their closest approach, Venus and Earth are 4.20 × 10¹⁰ m apart. The mass of Venus is 4.87 × 10²⁴ kg, the mass of Earth is 5.97 × 10²⁴ kg, and G = 6.67 × 10^-11 N ∙ m²/kg². What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

(Multiple Choice)

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Question 48

An piece of space debris is released from rest at an altitude that is two earth radii from the center of the earth. Compared to its weight on Earth, the weight of this debris is

(Multiple Choice)

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Question 49

When a car goes around a circular curve on a horizontal road at constant speed, what force causes it to follow the circular path?

(Multiple Choice)

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Question 50

Two planets have the same surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?

(Multiple Choice)

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Question 51

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)

(Multiple Choice)

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Question 52

What is the magnitude of the gravitational force that two small 7.00-kg balls exert on each other when they are 35.0 cm apart? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Short Answer)

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Question 53

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)

(Multiple Choice)

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Question 54

An astronaut drops a marble on the surface of the airless Planet Z-49 and observes that it takes 1.02 s for the marble to fall 2.00 m starting from rest. She also knows that the radius of Z-49 is 3.39 × 10⁶ m. From this information, what will she determine for the mass of Z-49? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 55

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 at the surface of Earth, the acceleration due to gravity at the surface of Z-34 is

(Multiple Choice)

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Question 56

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?

(Multiple Choice)

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Question 57

A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction?

(Multiple Choice)

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Question 58

Pulling out of a dive, the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m. At the bottom of the dive, the speed of the airplane is 150 m/s. What is the apparent weight of the 70-kg pilot at that point?

(Multiple Choice)

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Question 59

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)

(Multiple Choice)

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Question 60

Showing 41 - 60 of 96

Exam 6: Gravity

If you swing a bucket of water fast enough in a vertical circle, at the highest point the water does not spill out. This happens because an outward force balances the pull of gravity on the water.

When a car goes around a banked circular curve at the proper speed speed for the banking angle, what force cause it to follow the circular path?

A spherically symmetric planet has four times the earth's mass and twice its radius. If a jar of peanut butter weighs 12 N on the surface of the Earth, how much would it weigh on the surface of this planet?

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

Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 1026 kg, and use an orbital radius of 1.00 x 105 km. (G = 6.67 × 10-11 N ∙ m2/kg2)

At their closest approach, Venus and Earth are 4.20 × 1010 m apart. The mass of Venus is 4.87 × 1024 kg, the mass of Earth is 5.97 × 1024 kg, and G = 6.67 × 10-11 N ∙ m2/kg2. What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

An piece of space debris is released from rest at an altitude that is two earth radii from the center of the earth. Compared to its weight on Earth, the weight of this debris is

When a car goes around a circular curve on a horizontal road at constant speed, what force causes it to follow the circular path?

Two planets have the same surface gravity, but planet B has twice the radius of planet A. If planet A has mass m, what is the mass of planet B?

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)

What is the magnitude of the gravitational force that two small 7.00-kg balls exert on each other when they are 35.0 cm apart? (G = 6.67 × 10-11 N ∙ m2/kg2)

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)

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 at the surface of Earth, the acceleration due to gravity at the surface of Z-34 is

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?

A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction?

Pulling out of a dive, the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m. At the bottom of the dive, the speed of the airplane is 150 m/s. What is the apparent weight of the 70-kg pilot at that point?

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Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 10²⁶ kg, and use an orbital radius of 1.00 x 10⁵ km. (G = 6.67 × 10^-11 N ∙ m²/kg²)

At their closest approach, Venus and Earth are 4.20 × 10¹⁰ m apart. The mass of Venus is 4.87 × 10²⁴ kg, the mass of Earth is 5.97 × 10²⁴ kg, and G = 6.67 × 10^-11 N ∙ m²/kg². What is the magnitude of the gravitational force exerted by Venus on Earth at that point?

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)

What is the magnitude of the gravitational force that two small 7.00-kg balls exert on each other when they are 35.0 cm apart? (G = 6.67 × 10^-11 N ∙ m²/kg²)

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)

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?