A spacecraft of mass 1000 ,kg in deep space expels 20 ,kg of gas backward at 500 ,m…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A spacecraft of mass 1000\,kg in deep space expels 20\,kg of gas backward at 500\,m\,s−1^{-1} relative to the spacecraft. Its initial velocity is zero and external forces are negligible. What speed does the spacecraft gain immediately after the gas is expelled? (a) 20 m s−120\,\text{m s}^{-1} (b) 9.8 m s−19.8\,\text{m s}^{-1} (c) 10 m s−110\,\text{m s}^{-1} (d) 71 m s−171\,\text{m s}^{-1}

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