Can somebody show me step by step how to solve this physics question?

Question Description

A rocket is fired in a gravity-free environment in deep space. The rocket has an initial mass of 8000 kg and ejects gas with a velocity of 2000 m/s. How much gas must be ejected in the first second to give the rocket an acceleration of 30.0 m/s?

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Final Answer

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thrust of a rocket = -uR = Th

u = velocity of exhaust relative to rocket

R = rate of mass ejection

we need R

Newton's II law: F̂ᵣₑ = mâ

Th - mg = ma (gravity free, hence g = 0)

=> Th = ma = 240000 N = uR = 2000R

=> R = 240000/2000 = 120 kg/s

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MJChelsea (23)
University of Maryland

Awesome! Perfect study aid.