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The mean radius of the earth is R, its angular speed on its own axis is and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geo-stationary satellite will be
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The mass of the earth is and that of the moon is . The potential energy of the system is . The mean distance between the earth and moon is .
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Two spheres each of mass M and radius R are separated by a distance of r. The gravitational potential at the midpoint of the line joining the centres of the spheres is
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A particle of mass m is placed at the centre of a uniform spherical shell of mass 3 m and radius R. The gravitational potential on the surface of the shell is
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The change in potential energy when a body of mass m is raised to a height n RE from earth's surface is (RE. radius of the earth)
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Two oppositely rotating satellites of same mass are launched in the same orbit round the earth. The collide idealistically. What is the ratio of gravitational potential energy before and after collision?
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The potential energy of interaction between the semi-circular ring of mass M and radius R1 and the particle of mass M placed at the centre of curvature of the semi-circular arc is:
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The gravitational potential energy of a body of mass 'm’ at the earth's surface -mgRe. Its gravitational potential energy at a height Re from the earth's surface will be (Here Re is the radius of the earth)
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A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is
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