A body of mass m=0.1kg has an initial velocity of 3i^ ms−1. It collides elastically with another body B of same mass which has an initial velocity of 5j^ ms−1. After the collision A moves with a velocity v→=4(i^+j^)m/s. The energy of B after the collision is written as x10J. The value of x is.

LCLM 0.1×3i¯+0.1×5j¯=0.1×4(i¯+j¯)+0.1×V¯V¯=−i¯+j¯KB=12mv2=12(0.1)(2)2=0.1=110J

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A body of mass $m = 0.1 k g$ has an initial velocity of $3 \hat{i} m s^{- 1} .$ It collides elastically with another body B of same mass which has an initial velocity of $5 \hat{j} m s^{- 1} .$ After the collision A moves with a velocity $\vec{v} = 4 (\hat{i} + \hat{j}) m / s .$ The energy of B after the collision is written as $\frac{x}{10} J .$ The value of $x$ is.

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LCLM $0.1 \times 3 \bar{i} + 0.1 \times 5 \bar{j} = 0.1 \times 4 (\bar{i} + \bar{j}) + 0.1 \times \bar{V}$

$\bar{V} = - \bar{i} + \bar{j}$

$K_{B} = \frac{1}{2} m v^{2} = \frac{1}{2} (0.1) {(\sqrt{2})}^{2} = 0.1 = \frac{1}{10} J$

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