A body of mass m kg. Starts falling from a point 2r above the earth's surface. Its kinetic energy when it has fallen to a point r' above the earth's surface [r-radius of earth, m-mass of earth, g-gravitational constant]
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Answer:When body starts to fall towards earth's surface, its potential energy decreases so kinetic energy increases.
Increase in kinetic energy = decrease in potential energy
Final Kinetic - Initial Kinetic Energy = Initial Potential energy - Final Potential Energy
Final - 0 = −GMmR+2R−(−GMmR+R)
Final = −GMm3R+(GMm2R)
Final = (GMm6R)
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