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(a) Calculate the maximum rate at which a rocket can expel gases if its acceleration cannot exceed seven times that of gravity. The mass of the rocket just as it runs out of fuel is 75,000 kg, and its exhaust velocity is $2.40\times 10^{3}\textrm{ m/s}$. Assume that the acceleration of gravity is the same as on Earth's surface, $9.80 \textrm{ m/s}^2$. (b) Why might it be necessary to limit the acceleration of a rocket?
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Final Answer
  1. $2450 \textrm{ kg/s}$
  2. Accelerations exceeding $7g$ might injure human occupants of the rocket or damage the rocket itself. One risk to human occupants is "G-LOC" - g-induced loss of consciousness.
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OpenStax College Physics Solution, Chapter 8, Problem 58 (Problems & Exercises) (2:02)

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