   Chapter 6, Problem 56P

Chapter
Section
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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