A model rocket engine has an average thrust of 5.26 N. It has an initial mass of

Question

A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.9 g, which includes fuel mass of 13.0 g. The duration of its burn is 1.90 s. (Assume all the fuel is consumed.) (a) What is the average exhaust speed of the engine? _____ m/s (b) This engine is placed in a rocket body of mass 42.0 g. What is the magnitude of the final velocity of the rocket if it were to be fired from rest in outer space by an astronaut on a spacewalk? Assume the fuel burns at a constant rate. ______ m/s

Explanation / Answer

A size C5 model rocket engine has an average thrust of 5.26 N, a fuel mass of 12.7 g, and an initial mass of 25.5 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of the engine? I found that it is 787m/s (b) If this engine is placed in a rocket body of mass 52.0 g, and if the rocket is fired in outer space, what is the final velocity of the rocket? Assume the fuel burns at a constant rate. A. vex = impulse/mass = 5.26*1.9/0.0127 = 786.93 m/s B. Per the Tsiolkovsky rocket equation, delta-v = vex*ln(mi/mf) = ln(77.5/(77.5-12.7)) = 140.8 m/s See the ref. for an explanat

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