How much work is needed to be done on a ball of mass 50g to give it a momentum of 5 kg m s-1?
Given,
mass = 50gm = 0.05kg
momentum = 500 gcm / s = 0.005 kgm / s
KE = momentum2 / 2 x mass
Work done=KE=momentum22×massWork done=KE=0.00522×0.05⇒KE=250J\text{Work done} = KE = \dfrac {momentum^2}{2 \times mass} \\[0.5em] \text{Work done} = KE = \dfrac{0.005^2} {2 \times 0.05} \\[0.5em] \Rightarrow KE =250 J \\[0.5em]Work done=KE=2×massmomentum2Work done=KE=2×0.050.0052⇒KE=250J
