A particle starts with speed v 0 from x = 0 along x -axis with retardation proportional to the square of its displacement. Work done by the force acting on the particle is proportional to

Step-by-step solution

Given a = - Kx 2 or – v dv dx = x 2 integrating both sides – 1 2 v 2 – v 0 2 = x 3 3 Now, using work-energy theorem W = ∆ KE W   ∝   x 3