A body of mass 3 kg is under a force causes a displacement in it, given by S=t^(2)/3 (in metres). The work done by the force in 2 s is

A body of mass 3 kg is under a force causes a displacement in it, give

1.	A body of mass 3 kg is under a force causes a displacement in it, given by S=t^(2)/3 (in metres). The work done by the force in 2 s is
Answer» 2J 3.8J 5.2J 2.6 J Solution :`W = int_(t = 0)^(t = 2) F dS = int_(t = 0)^(t = 2)M ((d^2S)/(dt^2))((dS)/(dt)) dt` `int_(t = 0)^(t = 2) 3(2/3)((2t)/(3)) dt = 4/3 int_(0)^(2) t dt = 2.6 J`