Question

A particle located at x= 0, at time t= 0, starts moving along the positive x-direction with a velocity that varies as v=p√ x. The displacement of the particle varies with time as(where, p is constant)

Answer 1

Answer:

W=1/2ma2d

Work done due to a constant force W=Fd.

Constant Force = mass × acceleration.

Acceleration is given by

dvdt=dv/dx*dxdt

⇒=dv/dt=a2x−−√ax−−√=1/2a2

⇒W=1/2ma2d