Question

# Kinetic energy of a body of mass $$0.1kg$$ and momentum $$20kgms^{-1}$$ is:

A
1kJ
B
2kJ
C
3kJ
D
4kJ

Solution

## The correct option is C $$2kJ$$Given, $$p=20kgms^{-1},m=0.1kg$$Kinetic energy, $$K=\dfrac{1}{2}mv^2$$ and momentum, $$p=mv$$So, $$K=\dfrac{1}{2}m\times{(\dfrac{p}{m})}^2=\dfrac{p^2}{2m}$$$$\therefore$$ $$K=\dfrac{20^2}{2\times{0.1}}=2000J=2kJ$$Physics

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