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A body which is initially at rest at a height R above the surface of the earth of radius R, falls freely towards the earth, then its velocity on reaching the surface of the earth is

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Important Questions on Gravitation

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What is the energy required to launch a m kg satellite from the earth's surface in a circular orbit at an altitude of 2R? (R= radius of the earth)
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A body of super condense material with a mass twice the mass of earth but size very small compared to the size of the earth starts from rest from h<<R above the earth surface. It reaches earth in time
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A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at a distance 2R from the centre of the sphere. A spherical cavity of radius R2 is now made in the sphere as shown in the figure. The sphere with the cavity now applies a gravitational force F2 on the same particle. The ratio F2F1 is

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The escape velocity from the earth is ve. A body is projected with velocity 2ve. With what constant velocity will it move in the interplanetary space?
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Suppose, the gravitational attraction varies inversely as the distance from the earth. The orbital velocity of a satellite in such a case varies as nth power of distance, where n is equal to
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Let E be the energy required to raise a satellite to height h above the earth's surface and E' be the energy required to put the same satellite into orbit at that height. Then, EE' is equal to
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A satellite is revolving around the earth with orbital speed vo. If it stops suddenly, the speed with which it will strike the surface of the earth would be (ve= escape velocity of a particle on earth's surface.)
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Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is