A particle of mass 500 gm is moving in a straight line with velocity v= b x^5 / 2. The work done by the net force during its displacement from x=0 to…

A particle of mass $\displaystyle 500$ gm is moving in a straight line with velocity $\displaystyle v=\mathrm{b} x^{5 / 2}$. The work done by the net force during its displacement from $\displaystyle x=0$ to $\displaystyle x=4 \mathrm{~m}$ is : (Take $\displaystyle \mathrm{b}=0.25 \mathrm{~m}^{-3 / 2} \mathrm{~s}^{-1}$ ).