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Assume a smooth hole drilled along the diameter of the earth. If a stone is dropped at one end it reaches the other end of the hole after a Time T_(0). Now instead of dropping the stone, you throw it into the hole with an initial velocity u. How big should u be, so that the stone appears at the other end of the hole after a time(T_(0))/(2). Express your answer in terms of acceleration due to gravity on the surface of the earth (g) and the radius of the earth (R ). |
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