A 600 kg rocket fires vertically. The exhaust speed is 1000 m s⁻¹. Find rate of gas ejection required to balance its weight, taking g=10 m s⁻².
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Question

A 600 kg rocket fires vertically. The exhaust speed is 1000 m s⁻¹. Find rate of gas ejection required to balance its weight, taking g=10 m s⁻².

G1 Physics · Accepted Answer

For zero initial acceleration, thrust equals weight: u(dm/dt)=mg=600×10=6000 N. Hence dm/dt=6000/1000=6 kg s⁻¹. Answer: C.