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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

NASA’s Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 × 106 N of thrust while burning fuel at a rate of 2.63 × 103 kg/s. Calculate the engine’s exhaust speed.

To determine
Exhaust speed of an engine.

Explanation

Given Info: Instantaneous thrust of a rocket engine is T=6.77×106 N and the rate of change of mass is ΔM/Δt=2.63×103kg/s

Formula to calculate the thrust in the rocket engine is,

T=|veΔmΔt|

  • T is the instantaneous thrust of a rocket engine.
  • ve is the exhaust speed of an engine.
  • ΔM/Δt is the rate of change of mass.

Rewrite the above expression in terms of ve .

ve=T|ΔMΔt| (1)

Substitute 2

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