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Question

A $$150\ gm$$ mass has a velocity $$2\hat{i} + 6\hat{j}\ m/s$$ at a certain instant. Its kinetic energy is:


A
6 J
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B
2 J
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C
3 J
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D
8 J
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Solution

The correct option is C $$3\ J$$
$$\mid \vec{v}\mid = \sqrt{2^{2}+6^{2}}$$ $$= \sqrt{40}\ m/s$$

$$ K.E = \dfrac{1}{2}m \mid \vec{v}\mid ^{2}$$

         $$ = \dfrac{1}{2}\times 150\times 10^{-3} \times 40$$
 
         $$ = 3\ J$$

Physics

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