4. The relation between the displacement x and thetime t for a body of

1.	4. The relation between the displacement x and thetime t for a body of mass 2 kg moving under theaction of a force is given by x -t /3, where x is inmetre and t in second, calculate the work done by(Ans. 16 J)the body in first 2 seconds
Answer» M = 2 kgx = t^3 /3 m/s , dx = t² dtv = dx/dt = t²a = dv/dt = 2 tforce = m a = 4 tdW = force * dx = 4 t dx = 4 t³ Work done during t = 0 to 2 sec is found by integration W = [ t^4 ]_0 ^2 = 16 J speed is a distance travels per unit of time is called speed

4. The relation between the displacement x and thetime t for a body of mass 2 kg moving under theaction of a force is given by x -t /3, where x is inmetre and t in second, calculate the work done by(Ans. 16 J)the body in first 2 seconds

Answer»

M = 2 kgx = t^3 /3 m/s , dx = t² dtv = dx/dt = t²a = dv/dt = 2 tforce = m a = 4 tdW = force * dx = 4 t dx = 4 t³

Work done during t = 0 to 2 sec is found by integration W = [ t^4 ]_0 ^2 = 16 J

speed is a distance travels per unit of time is called speed

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4. The relation between the displacement x and thetime t for a body of mass 2 kg moving under theaction of a force is given by x -t /3, where x is inmetre and t in second, calculate the work done by(Ans. 16 J)the body in first 2 seconds

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