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The ratio of KE of a planet at the points 1 and 2 is:

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Important Questions on Gravitation

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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A satellite is launched to a distance r from the centre of the earth to have a circular orbit around the earth. Its orbital velocity to maintain this orbit is (mass of the earth as ME)
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is: 
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
In an earth satellite moving in a circular orbit, a piece of metal (weighing 0.016 kg on the earth) is weighed by a spring balance while the metal is suspended in water. If the density of metal is 8 times of water density, then the recorded weight will be (g is acceleration due to gravity)
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
If radius of the Earth contracts by 2% and its mass remains the same, then the weight of a body at the Earth's surface
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A person jumps from the 5th  storey of a building with load on his head. The weight experienced by him before reaching the earth will be
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A planet is moving in a circular orbit. It completes 2 revolutions in 360 days. What is its angular frequency?
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A body is projected upwards with a velocity of 4×11.2 km s-1 from the surface of earth. The velocity of the body when it escapes the gravitational pull of earth is
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
The ratio of the binding energy of a satellite at rest on earth's surface to the binding energy of a satellite of same mass revolving around the earth at a height h above the earth's surface is (R= radius of the earth).
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
If the axis of rotation of the earth were extended into space then it would pass close to -
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
Consider two satellites S1 and S2 with periods of revolution 1hr and 8hr respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S1 to the angular velocity of satellite S2 is:
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of the earth. Then,
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A geostationary satellite is orbiting around an arbitrary planet P at a height of 11R above the surface of P, R being the radius of P. The time period of another satellite in hours at a height of 2R from the surface of P is ________ has the time period of 24 hours.
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
Binding energy of a revolving satellite at height h is 3.5×108 J. Its potential energy is
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
The time period of an earth satellite in circular orbit is independent of
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
Persons sitting in an artificial satellite circling around the earth have
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
If the earth stops rotating in its orbit about the sun, there will be variation in the weight of our bodies at
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A satellite is orbiting close to the earth and has a kinetic energy K. The minimum extra kinetic energy required by it to just overcome the gravitation pull of the earth is
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
The relative uncertainty in the period of a satellite orbiting around the earth is 10-2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:
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Physics>Mechanics>Gravitation>Motion of Planets and Satellites in Circular Orbits
A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25×106 m above the surface of earth. If earth's radius is 6.38×106 m and g=9.8 m s-2, then the orbital speed of the satellite is: