Q15 of 21 Page 109

A stone of mass 5kg falls from the top of a cliff 50m high and buries 1m in deep in sand. Find average resistance offered by sand.

Mass of stone = M = 5 kg

Height of the cliff = h = 50 m


Case I: before hitting the ground


Since the stone falls freely, a = g = 9.8 ms–2


Stone falls from rest, initial speed = u = 0


s = h = 50 m





v = speed of stone before hitting the ground


Case II: After hitting the ground when stone penetrates the sand


Final speed = v = 0


Initial speed = u


Distance travelled in sand = s = 1 m





Negative sign indicates that it is retardation




Negative sign indicates that its a resistive force


Average resistive force offered by the sand =


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