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Q.

A vehicle of mass 1000 kg has a kinetic energy of 20,000 J at an instant. The velocity at that instant is

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a

$2 \sqrt{15} {ms}^{- 1}$

b

$2 \sqrt{10} {ms}^{- 1}$

c

$3 \sqrt{10} {ms}^{- 1}$

d

${50 ms}^{- 1}$

answer is B.

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Detailed Solution

$Mass m = 1000 kg , K.E = 20, 00 0J$

$Velocity v = ?$

$K.E = \frac{1}{2} {mv}^{2}$

$\Rightarrow \frac{2 \times K.E}{m} = v^{2}$

$\Rightarrow v^{2} = \frac{2 \times 20, 000}{1000} = 40$

$V = 2 \sqrt{10} {ms}^{- 1}$

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