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Question

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


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