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A particle moving on the x-axis experiences a force given by Fx=qx2, where q is a constant. How much work is done on the particle as it moves from x=0 to x=d? Express your answer in terms of some or all of the variables q and d.

Answer :

The  work done on the particle as it moves from x=0 to x=d is qd^3/3 when  a particle moving on the x-axis experiences a force given by Fx=qx2, where q is a constant.

Given force is Fx =qx^2

As particle moves from x = 0 to x = d the work done on the particle by using force Fx is as follows

By integration W = ∫Fxdx

W = ∫qx^2dx

W  =  (qx^3/3) from 0 to d

W = q/3(d^3 - 0)

W = qd^3/3

hence the work done by particle as it moves from x= 0 to x = 3 is qd^3/3

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