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
B
2 J
C
3 J
D
8 J

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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