I need help as soon as possible. Please help and thank you forreading. A rocket,

Question

I need help as soon as possible. Please help and thank you forreading. A rocket, which has a rest mass of 235,000 kg, including186,000 kg of fuel is sitting "at rest" in space. When this fuel is burned iti is exhausted from the rocket witha velocity of 38,500 m/s. For simplicity assume that all the fuel is emitted atonce! What will be the velocity the final velocity of therocket I need help as soon as possible. Please help and thank you forreading. A rocket, which has a rest mass of 235,000 kg, including186,000 kg of fuel is sitting "at rest" in space. When this fuel is burned iti is exhausted from the rocket witha velocity of 38,500 m/s. For simplicity assume that all the fuel is emitted atonce! What will be the velocity the final velocity of therocket

Explanation / Answer

Since your problem statement says: all the fuel isemitted at once, this is not a variable-mass problem. So you can simply use conservation of momentum: Mass of rocket (m1)= 235000-186000= 49000 kg velocity of rocket =v1 mass of fuel (m2)= 186000 kg velocity (v2)= 38,500 m/s
v1= (m2v2)/m1 = approx. 146143 m/s

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