Average acceleration until burnout of an engine?
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What is the average acceleration until burnout of a spacecraft engine creating 53.2MN of thrust with a propellant velocity of 4.78km/s? The initial mass is 2.12x10^6 kg and final mass is 7.04x10^4. What I have so far: 0 = m(subscript_f)v(_f) + m(_r)v(_r) 0 = (2.12x10^6 - 7.04x10^4)*(4.78x10^3) v(_r) = 139,163m/s The problem is, I don't know where to go from here in order to determine the average acceleration from here... Help!
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Answer:
Aav = T/Mav; where Mav = (Mi+Mf)/2 Aav = 2T/(Mi+Mf) = 48.58 m/s²
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