Classical Dynamics of Particles and Systems · Problem 9-61

Motion in a Noninertial Reference Frame — Marion & Thornton

Physics — Mechanics · multistage-rocket

Problem

Consider a multistage rocket of nn stages, each with exhaust speed uu. Each stage of the rocket has the same mass ratio at burnout (k=mi/mfk = m_i/m_f). Show that the final speed of the nnth stage is nuln⁡knu\ln k.

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