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An artificial satellite revolves around a planet for which gravitational force (F) varies with distance r from its centre as Fr2. If v0 its orbital speed, then

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Important Questions on Gravitation

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If the gravitational potential on the surface of earth is V0, then potential at a point at height half of the radius of earth is
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The total mechanical energy of an object of mass m projected from surface of earth with escape speed is
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The escape velocity of a body from earth is about 11.2 km s-1. Assuming the mass and radius of the earth to be about 81 and 4 times the mass and radius of the moon, the escape velocity in km s-1. from the surface of the moon will be
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If M is mass of a planet and R is its radius then in order to become black hole [c is speed of light] 
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The atmosphere on a planet is possible only if [where vms is root-mean-square speed of gas molecules on planet and ve is escape speed on its surface]
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When speed of a satellite is increased by x percentage, it will escape from its orbit, where the value of x is
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In an orbit if the time of revolution of a satellite is T, then PE is proportional to
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A small satellite is revolving near earth's surface. Its orbital velocity will be nearly.