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Question

If 5000 kg rocket is set for vertical firing the exhaust speed is 800 M per second to give an upward acceleration of 20 m per second squresthe amount of gas ejected per second to supply the needed thrust

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Solution

The net force on the system (rocket and exhaust gas) is zero.the rocket mass M AND set exhaust gas mass dM. M*dV(rocket)/dt=dM*V(EXHAUST)/dt
Mdv=m(g+a)=5000*(9.8+20)=149000N
149000=dM*800/dt
dm/dt=186.25m/s



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