A body of mass 0.25 kg travels along a straight line from x =0 to x =2 ~m with a speed v = k x ^ 3 / 2 where k =2 SI units. The work done by the net during this displacement is

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Correct answer: D. 4 J

aligned & W _ net = KE & = 1 2 mv ^2- 1 2 mu ^2 & = 1 2 0.25 ( k (2)^ 3 / 2 )^2-0 & = 1 2 0.25 2^2 2^3 & =4 ~J aligned

A body of mass 0.25 kg travels along a straight line from x =0 to x =2 ~m with a speed v = k x ^ 3 / 2 where k =2 SI units. The work done by the net during this displacement is

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