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An empty plastic box of mass 5kg accelerates up at rate of guy 6 when placed in water how much sand must be filled so that it accelerates down with gby6 |
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Answer» ght of the sand that should be added will be 2 kgLet the buoyant force acting on the BOX = Fsince the box MOVES upward with acceleration = G/6=> F - mg = mg/6=> F = 7mg/6Let M be the mass of sand added so that it moves downward with acceleration, g/6=> (m+M)g - F = (m + M)g/6=> F = 5(m+M)g/6comparing both the eqn we get,5(m+M)g/6 = 7mg/6=> 5M + 5M = 7m=> 5M = 2m = 2 x 5 = 10=> M = 2 kgHence the weight of the sand will be 2 kg |
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