A girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 25.3 g, which includes fuel mass of 13.1 g. The engine fires for a total of 1.90 sec. (Assume all the fuel is consumed.) Calculate the average exhaust speed of the engine (in m/s). This engine is positioned in a rocket case of mass 64.0 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 47P: A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which...
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A girl launches a toy rocket from the ground. The engine experiences an average thrust of 5.26 N. The mass of the engine plus fuel before liftoff is 25.3 g, which includes fuel mass of 13.1 g. The engine fires for a total of 1.90 sec. (Assume all the fuel is consumed.)

  1. Calculate the average exhaust speed of the engine (in m/s).
  2. This engine is positioned in a rocket case of mass 64.0 g. What is the magnitude of the final velocity of the rocket (in m/s) if it were to be fired from rest in outer space with the same amount of fuel? Assume the fuel burns at a constant rate.
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F = ∆m ∆t ve

(F) / (∆t) (∆m) = ve    

ve = (F) / (∆t) (∆m) = (5.26 N) / (1.90 sec) (0.0131 kg) = 762.9 m/s

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