Advanced — Rocket PropulsionHardQuestion 30477
Question
A rocket of initial mass M ejects gas at relative velocity u. When mass reduces to M/2, thrust force on rocket is equal to:
- AMu/2
- BF = u(dM/dt)Correct
- CMu(dM/dt)
- Du×M/2
Correct answer
F = u(dM/dt)
Explanation
Thrust = −u(dM/dt). Here dM/dt is the rate of mass ejection (negative since mass decreases). Thrust magnitude = u|dM/dt|, independent of current mass.