Three galaxies, each of mass M = 4.0 × 1041 kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length. The magnitude of the force the other two galaxies exert on each galaxy is

A) 4.3 × 1027 N. B) 6.4 × 1027 N. C) 7.4 × 1027 N. D) 8.6 × 1027 N. E) 4.3 × 1028 N. A) 4.3 × 1027 N. B) 6.4 × 1027 N. C) 7.4 × 1027 N. D) 8.6 × 1027 N. E) 4.3 × 1028 N.

Knowing that at sea level and that RE = 6.37 × 106 m, we find that the value of g in at a distance RE from the surface of the Earth is

A) 1.23. B) 2.45. C) 4.90. D) 7.35. E) 9.80. A) 1.23. B) 2.45. C) 4.90. D) 7.35. E) 9.80.

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 107 m. If the radius of Roton is 5.0 × 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?

A) 31 m/s2 B) 27 m/s2 C) 34 m/s2 D) 40 m/s2 E) 19 m/s2 A) 31 m/s2 B) 27 m/s2 C) 34 m/s2 D) 40 m/s2 E) 19 m/s2

Exam 13: Universal Gravitation

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

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Question 1

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Carla and Jenny are arguing about whether or not it is possible to escape the gravitational field of the Earth. Carla shows Jenny a system where mass m is r_E (not the Earth's radius) distant from Earth and r_P (not planet P's radius) distant from planet P, the mass being on the line connecting the Earth and planet P. Carla states that the mass m has escaped if F_{P on m} = −F_{E on m}. Jenny disagrees. Which one, if either, is correct, and why?

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Question 2

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What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 10⁶ m, mass = 6.0 × 10²⁴ kg) with a period of 5.0 h?

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Question 3

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Planet Zero has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 10⁷ J. What maximum distance from the center of Zero is achieved by the probe?

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Question 4

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s). -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

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Question 5

Three galaxies, each of mass M = 4.0 × 10⁴¹ kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length. The magnitude of the force the other two galaxies exert on each galaxy is

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Question 6

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

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Question 7

A satellite revolves around the Earth in a circular orbit with a mechanical energy of J. What is its kinetic energy?

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Question 8

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

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Question 9

Planet Roton has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 10⁶ m from the center of Roton?

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Question 10

Knowing that at sea level and that R_E = 6.37 × 10⁶ m, we find that the value of g in at a distance R_E from the surface of the Earth is

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Question 11

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

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Question 12

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

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Question 13

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s). -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m, y = 0?

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Question 14

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h). With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

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Question 15

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

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Question 16

Three 5.0-kg masses are located at points in the xy plane, as shown. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m?

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Question 17

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?

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Question 18

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 10⁷ m. If the radius of Roton is 5.0 × 10⁶ m, what is the magnitude of the free-fall acceleration on the surface of Roton?

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Question 19

Suppose the gravitational force of the Earth on a body was . What escape velocity v_e would a body need to escape the gravitational field of the Earth?

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Question 20

Showing 1 - 20 of 47

Exam 13: Universal Gravitation

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 106 m, mass = 6.0 × 1024 kg) with a period of 5.0 h?

Planet Zero has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 107 J. What maximum distance from the center of Zero is achieved by the probe?

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s). -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at the origin?

Three galaxies, each of mass M = 4.0 × 1041 kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 1022 m length. The magnitude of the force the other two galaxies exert on each galaxy is

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? MSUN = 2.0 × 1030 kg, rS-E = 1.5 × 108 km MMOON = 7.4 × 1022 kg, rM-E = 3.8 × 105 km

A satellite revolves around the Earth in a circular orbit with a mechanical energy of J. What is its kinetic energy?

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm3, and g = 9.80 m/s2 near the surface of the Earth. What value did Newton obtain for G?

Planet Roton has a mass of 4.0 × 1023 kg and a radius of 2.0 × 106 m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 106 m from the center of Roton?

Knowing that at sea level and that RE = 6.37 × 106 m, we find that the value of g in at a distance RE from the surface of the Earth is

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 1030 kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

Exhibit 13-1 Three 5.0-kg masses are located at points in the xy plane as shown in the figure. Use this exhibit to answer the following question(s). -Refer to Exhibit 13-1. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0.40 m, y = 0?

An object is released from rest at a distance h above the surface of a planet (mass = M, radius = R < h). With what speed will the object strike the surface of the planet? Disregard any dissipative effects of the atmosphere of the planet.

The figure below shows a planet traveling in a counterclockwise direction on an elliptical path around a star located at one focus of the ellipse. When the planet is at point A,

Three 5.0-kg masses are located at points in the xy plane, as shown. What is the magnitude of the resultant force (caused by the other two masses) on the mass at x = 0, y = 0.30 m?

A satellite is placed in a geosynchronous orbit. In this equatorial orbit with a period of 24 hours, the satellite hovers over one point on the equator. Which statement is true for a satellite in such an orbit?

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 107 m. If the radius of Roton is 5.0 × 106 m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Suppose the gravitational force of the Earth on a body was . What escape velocity ve would a body need to escape the gravitational field of the Earth?

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What is the gravitational force on a 20-kg satellite circling the Earth (radius = 6.4 × 10⁶ m, mass = 6.0 × 10²⁴ kg) with a period of 5.0 h?

Planet Zero has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 × 10⁷ J. What maximum distance from the center of Zero is achieved by the probe?

Three galaxies, each of mass M = 4.0 × 10⁴¹ kg, lie in a plane at the corners of an equilateral triangle with sides of 5.0 × 10²² m length. The magnitude of the force the other two galaxies exert on each galaxy is

At the moment of a total eclipse, the moon lies along a line from the Earth to the sun. If your normal weight is 600 N, how much is your weight decreased by the combined pull of the sun and moon? M_SUN = 2.0 × 10³⁰ kg, r_S-E = 1.5 × 10⁸ km M_MOON = 7.4 × 10²² kg, r_M-E = 3.8 × 10⁵ km

Isaac Newton was able to estimate a value for G, the universal gravitational constant, from the following data: the radius of the Earth is about 6 400 km, the average density of rocks is about 5.50 g/cm³, and g = 9.80 m/s² near the surface of the Earth. What value did Newton obtain for G?

Planet Roton has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 10⁶ m from the center of Roton?

Knowing that at sea level and that R_E = 6.37 × 10⁶ m, we find that the value of g in at a distance R_E from the surface of the Earth is

The planet Venus requires 225 days to orbit the sun, which has a mass M = 1.99 × 10³⁰ kg, in an almost circular trajectory. Calculate the radius of the orbit and the orbital speed of Venus as it circles the sun.

A satellite circles planet Roton every 2.8 h in an orbit having a radius of 1.2 × 10⁷ m. If the radius of Roton is 5.0 × 10⁶ m, what is the magnitude of the free-fall acceleration on the surface of Roton?

Suppose the gravitational force of the Earth on a body was . What escape velocity v_e would a body need to escape the gravitational field of the Earth?