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/s2.
What is the speed vgas of the exhaust gas relative to the rocket?
Express your answer numerically in kilometers per second.
conservation of momentum: (m1v1 + m2v2)final = (m1v1 + m2v2)initial
The Attempt at a Solution
(159/160)M(vrocket + 15.9) - (1/160)Mvgas = Mvrocket
I go on to simplify it but I cant express vgas in numerical terms, as vrocket still remains in the equation. There is no value given for this so how can I solve the question?
Pls help! Thanks! :)