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The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Determine the distance from the center of the Earth of the point on the line joining the Earth to the Moon where the combined gravitational field strength of the Earth and the Moon is zero.
The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Determine the distance from the center of the Earth of the point on the line joining the Earth to the Moon where the combined gravitational field strength of the Earth and the Moon is zero.
3.8 x 108 m
The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Calculate the combined gravitational potential at that point.
The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Calculate the combined gravitational potential at that point.
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The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Calculate the potential energy when a 2500 kg probe is placed at that point.
The mass of the Moon is about 81 times smaller than that of the Earth. The distance between the Earth and the Moon is about d = 3.8 x 108 m. The mass of the Earth is 5.98 x 1024 kg. Calculate the potential energy when a 2500 kg probe is placed at that point.
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The graph shows the variation of the gravitational potential Vg with distance r away from the center of a dense compact planet of radius 2 x 109 m. Use the graph to calculate the work required to move a probe of mass 3400 kg from the surface to a distance of 7.5 x 106 m from the center of the planet.
The graph shows the variation of the gravitational potential Vg with distance r away from the center of a dense compact planet of radius 2 x 109 m. Use the graph to calculate the work required to move a probe of mass 3400 kg from the surface to a distance of 7.5 x 106 m from the center of the planet.
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The diagram shows the variation with distance from the center of a planet of the gravitational potential due to a planet and its moon. The planet's center is at r = 0 and the center of the moon is at r = 1. The units of separation are arbitrary. At the point where r = 0.75, the gravitation is zero. Determine the ratio of the mass of the planet to that of the moon
The diagram shows the variation with distance from the center of a planet of the gravitational potential due to a planet and its moon. The planet's center is at r = 0 and the center of the moon is at r = 1. The units of separation are arbitrary. At the point where r = 0.75, the gravitation is zero. Determine the ratio of the mass of the planet to that of the moon
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The diagram shows the variation with distance from the center of a planet of the gravitational potential due to a planet and its moon. The planet's center is at r = 0 and the center of the moon is at r = 1. The units of separation are arbitrary. At the point where r = 0.75, the gravitation is zero. With what speed must a probe be launched from the surface of the planet in order to arrive on the surface of the moon?
The diagram shows the variation with distance from the center of a planet of the gravitational potential due to a planet and its moon. The planet's center is at r = 0 and the center of the moon is at r = 1. The units of separation are arbitrary. At the point where r = 0.75, the gravitation is zero. With what speed must a probe be launched from the surface of the planet in order to arrive on the surface of the moon?
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Flashcards
Earth-Moon system
Earth-Moon system
The system composed of the Earth and the Moon, interacting gravitationally.
Gravitational field strength
Gravitational field strength
A measure of the force acting on a unit mass due to gravity.
Gravitational potential
Gravitational potential
The work done per unit mass to bring a mass from infinity to a specific point in a gravitational field.
Potential energy
Potential energy
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Escape velocity
Escape velocity
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Gravitational potential at zero point
Gravitational potential at zero point
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Mass ratio for zero potential
Mass ratio for zero potential
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Mass ratio of planet and Moon
Mass ratio of planet and Moon
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Work required to move a probe
Work required to move a probe
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Gravitational potential graph
Gravitational potential graph
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Planet radius
Planet radius
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Probe mass
Probe mass
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Distance from center
Distance from center
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Point of zero potential
Point of zero potential
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Escape velocity calculation
Escape velocity calculation
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Combined Gravitational Field
Combined Gravitational Field
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Earth's mass
Earth's mass
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Distance between Earth and Moon
Distance between Earth and Moon
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Mass of the Moon
Mass of the Moon
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Probe's final location
Probe's final location
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Probe's initial location
Probe's initial location
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Study Notes
Question 1
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Moon's mass is 81 times smaller than Earth's
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Earth-Moon distance is 3.8 x 108 m
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Earth's mass is 5.98 x 1024 kg
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Part a: Find the distance from Earth's center where Earth and Moon's gravitational field strength is zero.
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Part b: Calculate the combined gravitational potential at that point.
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Part c: Calculate potential energy of a 2500 kg probe at that point
Question 2
- Graph shows gravitational potential (Vg) variation with distance (r) from a planet's center
- Planet radius is 2 x 109 m
- Calculate work to move a 3400 kg probe from the surface to 7.5 x 109 m
Question 3
- Diagram shows gravitational potential variation with distance from planet center and moon center.
- Planet center is at r = 0, moon at r = 1.
- Units of separation are arbitrary
- Gravitational potential is zero at r = 0.75
- Part a: Determine the ratio of planet mass to moon mass
- Part b: Calculate the speed needed for a probe launched from the planet surface to reach the moon surface.
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Description
Test your understanding of gravitational fields and potentials with this quiz. It includes calculations related to the Earth-Moon system and gravitational potential energy. Perfect for students studying physics concepts related to gravity and motion.
