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A particle of mass $1 k g$ is thrown vertically upward with speed $100 m / s$ . After $5 \sec$ it explodes into two parts. One part of mass $500 g$ comes back with speed $25 m / s$ , what is the speed of the other part just after explosion? $(g = 10 m / s^{2})$

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$100 m / s$ upward

$100 m / s$ down ward

$125 m / s$ upward

$600 m / s$ upward

answer is D.

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Detailed Solution

$V = u - g t$

$= 100 - 50 = 50$

$M v = m_{1} v_{1} + m_{2} v_{2}$

$1000 \times 50 = - 500 (25) + 500 V_{2}$

$V_{2} = 125$

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