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A space craft of mass 2000kg moving with a velocity of $600 m/s$ suddenly explodes into two pieces. One piece of mass 500kg is left stationary. The velocity of the other part must be $(in m/s)$

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600

1500

800

1000

answer is B.

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Detailed Solution

M = 2000; v = 600

$m_{1} = 500; u_{1} = 0$

$m_{2} = 1500; u_{2} = ?$

$mv = m_{1} u_{1} + m_{2} u_{2}$

$2000 \times 600 = 500 (0) + 1500 u_{2}$

$12 \times 10^{5} = 15 \times 10^{2} u_{2}$

$\frac{12 \times 10^{3}}{15} = u_{2}$

$u_{2} = 800 m/s$

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