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Suppose the mass of a
rocket just as it runs out of fuel is 75550-kg, and its exhaust
speed is 2.7 × 103 m/s.
Calculate
the maximum rate, in kilograms per second, at which the rocket can
expel gases, if its acceleration cannot exceed seven times that of
the gravitational acceleration on the surface of the Earth. Assume
the gravitational force on the rocket is negligible. Homework Answers
We know that acceleration of rocket is given by:
a = v/m *dm/dt - g where dm/dt is rate of mass change, v is exhaust velocity, m is mass of rocket
7g = 2700/75550 *dm/dt -g
dm/dt = 8g/(2700/75550)
= 8*9.8/(2700/75550)
= 2193.7 kg/s answer
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