6. A rocket is to be fired vertically upward. The initial mass is Mo, the exhaust velocity -u is constant, and the rate of exhaust –(dM/dt) = A is constant. After a total mass AM is exhausted, the rocket engine runs out of fuel. Neglect- ing air resistance and assuming that the acceleration g of gravity is constant, set up and solve the equation of motion, and show that if Mo, u, and AM are fixed, then the larger the rate of exhaust A, that is, the faster it uses up its fuel, the greater the maximum altitude reached by the rocket. %3D

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6. A rocket is to be fired vertically upward. The initial mass is Mo, the exhaust
velocity
After a total mass AM is exhausted, the rocket engine runs out of fuel. Neglect-
ing air resistance and assuming that the acceleration g of gravity is constant,
set up and solve the equation of motion, and show that if Mo, u, and AM are
fixed, then the larger the rate of exhaust A, that is, the faster it uses up its fuel,
the greater the maximum altitude reached by the rocket.
-u is constant, and the rate of exhaust (dM/dt)
A is constant.
%3D
Transcribed Image Text:6. A rocket is to be fired vertically upward. The initial mass is Mo, the exhaust velocity After a total mass AM is exhausted, the rocket engine runs out of fuel. Neglect- ing air resistance and assuming that the acceleration g of gravity is constant, set up and solve the equation of motion, and show that if Mo, u, and AM are fixed, then the larger the rate of exhaust A, that is, the faster it uses up its fuel, the greater the maximum altitude reached by the rocket. -u is constant, and the rate of exhaust (dM/dt) A is constant. %3D
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