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Question 30524
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Center of Mass, Momentum and Collision: Rocket Equation MCQ

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Rocket EquationHardQuestion 30524

Question

A rocket ejects mass dm with velocity u relative to rocket. The impulse given to the rocket is:
  1. A
    u dm
    Correct
  2. B
    −u dm
  3. C
    u dt
  4. D
    dm/u

Correct answer

u dm

Explanation

By momentum conservation, ejecting mass dm at relative velocity u gives the rocket an impulse equal to u|dm| in the forward direction (thrust = u|dM/dt|).

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