Answer to Question #3845 in Mechanics | Relativity for mia

Question #3845
A 4.00 kg model rocket is launched, shooting 50.0 g of burned fuel from its exhaust at an average velocity of 625 m/s. What is the velocity of the rocket after the fuel has burned? (Ignore effects of gravity and air resistance.)
Expert's answer
Let m1 be the mass of the rocket, m2 - the mass of burned fuel.
V1 - velocity of the rocket after the fuel has burned,
V2 - average velocity of burned fuel.
According to the law of conservation of linear momentum:

0 = m1V1 - m2V2

V1 = V2*m2 / m1
V1 = 625*0.05/4 = 7.8125 m/s

So, the velocity of the rocket is 7.8 m/s.

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