A particle of mass \( 500 \, \text{gm} \) 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 \( x = 4 \, \text{m} \) is: (Take \( b = 0.25 \, \text{m}^{-3/2}\, \text{s}^{-1} \))
