A body of mass 6 ~kg is under a force which causes displacement in it given by s= t^2 4 metres where t is time. The work done by the force in 2 seconds is

Step-by-step solution

m=6 ~kg , s= t^2 4 Work done (W)= Force Displacement =m a s Displacement, s= t^2 4 Acceleration, a= d v d t = d d t ( d s d t )= d d t [ d d t ( t^2 4 ) ]= d d t ( 2 t 4 )= 1 2 aligned W & =6 1 2 t^2 4 = 3 4 t^2= 3 4 (2)^2 & = 3 4 4=3 ~J aligned