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Physics

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?

Work, Energy & Power

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Answer

Given,

Mass = 50 gm = 0.05kg

Momentum = 5 kg m s-1

Kinetic Energy=Momentum22×Mass\text{Kinetic Energy} = \dfrac{\text{Momentum}^2}{2 \times \text{Mass}}

Work done=KE=Momentum22×MassWork done=KE=522×0.05Work done=KE=250.1KE=250 J\text{Work done} = \text{KE} = \dfrac {\text{Momentum}^2}{2 \times \text{Mass}} \\[0.5em] \text{Work done} = \text{KE} = \dfrac{5^2} {2 \times 0.05} \\[0.5em] \text{Work done} = \text{KE} = \dfrac{25} {0.1} \\[0.5em] \Rightarrow \text{KE} =250 \text { J} \\[0.5em]

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