A body of mass 3 kg is moving under the action of a force such that its displacement is given by the relation s = 1 3 t 2 , where t is time in second. The work done by the force in 2 s is

Question

A body of mass 3 kg is moving under the action of a force such that its displacement is given by the relation s = 1 3 t 2 , where t is time in second. The work done by the force in 2 s is, 8 3 J, 19 5 J, 5 19 J, 3 8 J

MARKS App · Accepted Answer

s = 1 3 t 2 v = d s d t = 2 3 t , a = d 2 s d t 2 = 2 3 F = m a = 3 × 2 3 = 2 N W = 2 × 1 3 t 2 At t = 2 s , W = 2 × 1 3 × 2 × 2 = 8 3 J

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