A body of mass 3 kg acted upon by a constant force is displaced by S meter, given by relation $$S = {1 \over 3}{t^2}$$, where t is in second. Work done by the force in 2 seconds

The following figure shows the variation of potential energy $$V(x)$$ of a particle with distance $$x$$. The particle has

A uniform rope of length 4 m and mass 0.4 kg is held on a frictionless table in such a way that 0.6 m of the rope is hanging over the edge. The work done to pull the hanging part of the rope on to the table is, (Assume g = 10 m/s$$^2$$)

The kinetic energy (E_k) of a particle moving along X-axis varies with its position (X) as shown in the figure. The force acting on the particle at X = 10 m is