(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects 1/160 of its mass as exhaust gas and has an acceleration of 15.9 m/s^{2}.

What is the speedvof the exhaust gas relative to the rocket?_{gas}

Express your answer numerically in kilometers per second.

2. Relevant equations

conservation of momentum: (m_{1}v_{1}+ m_{2}v_{2})= (m_{final}_{1}v_{1}+ m_{2}v_{2})_{initial}

3. The attempt at a solution

(159/160)M(v+ 15.9) - (1/160)M_{rocket}v= M_{gas}v_{rocket}

I go on to simplify it but I cant expressvin numerical terms, as_{gas}vstill remains in the equation. There is no value given for this so how can I solve the question?_{rocket}

Pls help! Thanks! :)

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# A Rocket in Deep Space

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