The mass of Earth is ME = 6.0 $\times$ 1024 kg,and the mass of the Sun is 2.0 $\times$ 1030 kg.They are a distance of 1.5 $\times$ 108 km apart.Calculate the acceleration of Earth due to the gravitational attraction of the Sun.(G = 6.67 $\times$ 10-11 N·m2/kg2)

A) 1.8 $\times$ 10-8 m/s2 B) 6.0 $\times$ 10-3 m/s2 C) 9.8 m/s2 D) 6.0 m/s2 E) 6.0 $\times$ 103 m/s2 A) 1.8 $\times$ 10-8 m/s2 B) 6.0 $\times$ 10-3 m/s2 C) 9.8 m/s2 D) 6.0 m/s2 E) 6.0 $\times$ 103 m/s2 B

Use the following scenario to answer the next problem. NASA's "Weightless Wonder" flights can simulate "zero-g" or some other extraterrestrial gravity by flying a C-9 jet plane in a parabolic path.One path the plane takes is expressed as y = yS1U1B1oS1U1B0 + 0.8x – 1.02 x10S1U1P1-4S1S1P0 xS1U1P12S1S1P0 where yS1U1B1oS1U1B0 is the highest point, and x and y are the horizontal and vertical coordinates (in m). -Suppose yo = 10000 m and the lowest height is 2000 m,how long is the flight with a simulated lunar gravity gMoon = 1.62 m/s2?

A) 44 s B) 100 s C) 40 s D) 60 s E) 66 s A) 44 s B) 100 s C) 40 s D) 60 s E) 66 s

A satellite in circular orbit 1.609 $\times$ 106 m above the surface of Earth (re = 6.436 $\times$ 106 m)has an acceleration toward Earth of

A) 9.76 m/s2 B) 6.25 m/s2 C) 7.80 m/s2 D) 8.73 m/s2 E) 15.3 m/s2 A) 9.76 m/s2 B) 6.25 m/s2 C) 7.80 m/s2 D) 8.73 m/s2 E) 15.3 m/s2

Exam 11: Gravity

The mass of Earth is M_E = 6.0 $\times$ 10²⁴ kg,and the mass of the Sun is 2.0 $\times$ 10³⁰ kg.They are a distance of 1.5 $\times$ 10⁸ km apart.Calculate the acceleration of Earth due to the gravitational attraction of the Sun.(G = 6.67 $\times$ 10^-11 N·m²/kg²)

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Question 1

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Two objects with masses M₁ = 30,000 kg and M₂ = 70,000 kg are initially very far apart and at rest.If due to gravitational attraction the two objects attract each other,calculate their total kinetic energy when they are 100 km apart.

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Question 2

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According to Newton's law of universal gravitation,if the distance between two bodies is tripled,the gravitational force between them is

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Question 3

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In the absence of air resistance,the least speed with which a body must be projected vertically upward from Earth's surface (m_e = 5.99 $\times$ 10²⁴ kg, r_e = 6.37 $\times$ 10⁶ m)if it is to reach an altitude of 800 km is

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Question 4

Kepler's second law of planetary motion states that the radius vector from the sun to a planet sweeps out equal areas in equal times.This relationship is a consequence of which of the following conservation principles?

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Question 5

Use the figure to the right to answer the next problem. The orbits of two planets orbiting a star are shown.The semimajor axis of planet A is twice that of planet B. -The speed of planet A when it is at A is _____ the speed at A'.

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Question 6

Two satellites,one in geosynchronous orbit (T = 24 hrs)and one with a period of 12 hrs,are orbiting Earth.How many times larger than the radius of Earth is the distance between the orbits of the two satellites.(Mass(Earth)= 5.98 $\times$ 10²⁴ kg,G = 6.67 $\times$ 10^-11 N·m²,g = 9.81 m/s²,radius(Earth)= 6.38 $\times$ 10⁶m)

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Question 7

If a planet has a mass twice that of Earth and a radius four times that of Earth,the ratio of the acceleration due to gravity on the planet to that on Earth is

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Question 8

A satellite whose mass is 1000 kg is in a circular orbit 1000 km above the surface of the earth.A space scientist wants to transfer the satellite to a circular orbit 1500 km above the surface.The amount of work that must be done to accomplish this is

(Multiple Choice)

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Question 9

What is the escape speed from the sun,beginning (from rest relative to the sun)at the orbit of Earth,R = 1.50 $\times$ 10⁸ km.(Given: G = 6.67 $\times$ 10^-11 N · m²/kg²; mass of the sun = 2.0 $\times$ 10³⁰ kg.)

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Question 10

Of the five masses in orbit around the central mass,the one that would require the most energy to escape from its orbit is

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Question 11

An object whose mass is 6 kg experiences a gravitational force of 30 N at some point P.The gravitational field at this point is

(Multiple Choice)

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Question 12

In the SI system,the units for gravitational field are

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Question 13

A space rocket is launched such that very far from Earth it has a speed of 20 km/s.What was its initial launch speed from the surface of Earth? (R_E = 6.38 $\times$ 10⁶ m,M_E = 5.98 $\times$ 10²⁴ kg,G = 6.67 $\times$ 10^-11 N·m²/kg²)

(Multiple Choice)

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Question 14

Use the following scenario to answer the next problem. NASA's "Weightless Wonder" flights can simulate "zero-g" or some other extraterrestrial gravity by flying a C-9 jet plane in a parabolic path.One path the plane takes is expressed as y = y_o + 0.8x – 1.02 x10^-4 x² where y_o is the highest point, and x and y are the horizontal and vertical coordinates (in m). -Suppose y_o = 10000 m and the lowest height is 2000 m,how long is the flight with a simulated lunar gravity g_Moon = 1.62 m/s²?

(Multiple Choice)

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Question 15

The acceleration due to gravity at the surface of Earth is g.The radius of Earth is R_E.The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

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Question 16

If the mass of a planet is doubled with no increase in its size,the escape speed for that planet is

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Question 17

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell.The gravitational field will have its greatest value at point(s)

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Question 18

If we neglect the effects of air resistance,the impact speed of a body of mass m released from rest at an altitude of 2 $\times$ 10⁸ m above the surface of Earth (m_e = 5.99 $\times$ 10²⁴ kg,r_e = 6.37 $\times$ 10⁶ m)is

(Multiple Choice)

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Question 19

A satellite in circular orbit 1.609 $\times$ 10⁶ m above the surface of Earth (r_e = 6.436 $\times$ 10⁶ m)has an acceleration toward Earth of

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Question 20

Showing 1 - 20 of 84

Exam 11: Gravity

The mass of Earth is ME = 6.0 ×\times× 1024 kg,and the mass of the Sun is 2.0 ×\times× 1030 kg.They are a distance of 1.5 ×\times× 108 km apart.Calculate the acceleration of Earth due to the gravitational attraction of the Sun.(G = 6.67 ×\times× 10-11 N·m2/kg2)

Two objects with masses M1 = 30,000 kg and M2 = 70,000 kg are initially very far apart and at rest.If due to gravitational attraction the two objects attract each other,calculate their total kinetic energy when they are 100 km apart.

According to Newton's law of universal gravitation,if the distance between two bodies is tripled,the gravitational force between them is

In the absence of air resistance,the least speed with which a body must be projected vertically upward from Earth's surface (me = 5.99 ×\times× 1024 kg, re = 6.37 ×\times× 106 m)if it is to reach an altitude of 800 km is

Kepler's second law of planetary motion states that the radius vector from the sun to a planet sweeps out equal areas in equal times.This relationship is a consequence of which of the following conservation principles?

Use the figure to the right to answer the next problem. The orbits of two planets orbiting a star are shown.The semimajor axis of planet A is twice that of planet B. -The speed of planet A when it is at A is _____ the speed at A'.

If a planet has a mass twice that of Earth and a radius four times that of Earth,the ratio of the acceleration due to gravity on the planet to that on Earth is

A satellite whose mass is 1000 kg is in a circular orbit 1000 km above the surface of the earth.A space scientist wants to transfer the satellite to a circular orbit 1500 km above the surface.The amount of work that must be done to accomplish this is

What is the escape speed from the sun,beginning (from rest relative to the sun)at the orbit of Earth,R = 1.50 ×\times× 108 km.(Given: G = 6.67 ×\times× 10-11 N · m2/kg2; mass of the sun = 2.0 ×\times× 1030 kg.)

Of the five masses in orbit around the central mass,the one that would require the most energy to escape from its orbit is

An object whose mass is 6 kg experiences a gravitational force of 30 N at some point P.The gravitational field at this point is

In the SI system,the units for gravitational field are

A space rocket is launched such that very far from Earth it has a speed of 20 km/s.What was its initial launch speed from the surface of Earth? (RE = 6.38 ×\times× 106 m,ME = 5.98 ×\times× 1024 kg,G = 6.67 ×\times× 10-11 N·m2/kg2)

The acceleration due to gravity at the surface of Earth is g.The radius of Earth is RE.The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

If the mass of a planet is doubled with no increase in its size,the escape speed for that planet is

Test masses are used to measure the gravitational field at various positions in and near a hollow spherical shell.The gravitational field will have its greatest value at point(s)

If we neglect the effects of air resistance,the impact speed of a body of mass m released from rest at an altitude of 2 ×\times× 108 m above the surface of Earth (me = 5.99 ×\times× 1024 kg,re = 6.37 ×\times× 106 m)is

A satellite in circular orbit 1.609 ×\times× 106 m above the surface of Earth (re = 6.436 ×\times× 106 m)has an acceleration toward Earth of

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The mass of Earth is M_E = 6.0 $\times$ 10²⁴ kg,and the mass of the Sun is 2.0 $\times$ 10³⁰ kg.They are a distance of 1.5 $\times$ 10⁸ km apart.Calculate the acceleration of Earth due to the gravitational attraction of the Sun.(G = 6.67 $\times$ 10^-11 N·m²/kg²)

Two objects with masses M₁ = 30,000 kg and M₂ = 70,000 kg are initially very far apart and at rest.If due to gravitational attraction the two objects attract each other,calculate their total kinetic energy when they are 100 km apart.

In the absence of air resistance,the least speed with which a body must be projected vertically upward from Earth's surface (m_e = 5.99 $\times$ 10²⁴ kg, r_e = 6.37 $\times$ 10⁶ m)if it is to reach an altitude of 800 km is

What is the escape speed from the sun,beginning (from rest relative to the sun)at the orbit of Earth,R = 1.50 $\times$ 10⁸ km.(Given: G = 6.67 $\times$ 10^-11 N · m²/kg²; mass of the sun = 2.0 $\times$ 10³⁰ kg.)

A space rocket is launched such that very far from Earth it has a speed of 20 km/s.What was its initial launch speed from the surface of Earth? (R_E = 6.38 $\times$ 10⁶ m,M_E = 5.98 $\times$ 10²⁴ kg,G = 6.67 $\times$ 10^-11 N·m²/kg²)

The acceleration due to gravity at the surface of Earth is g.The radius of Earth is R_E.The distance from the center of Earth to a point where the acceleration due to gravity is g/9 is

If we neglect the effects of air resistance,the impact speed of a body of mass m released from rest at an altitude of 2 $\times$ 10⁸ m above the surface of Earth (m_e = 5.99 $\times$ 10²⁴ kg,r_e = 6.37 $\times$ 10⁶ m)is

A satellite in circular orbit 1.609 $\times$ 10⁶ m above the surface of Earth (r_e = 6.436 $\times$ 10⁶ m)has an acceleration toward Earth of