Model rocket engines are sized by thrust, thrust duration, andtotal impulse, amo

Question

Model rocket engines are sized by thrust, thrust duration, andtotal impulse, among other characteristics. A size C5 model rocketengine has an average thrust of 5.26 N, a fuel mass of 12.7 g, andan initial mass of 25.5 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of theengine?

(b) If this engine is placed in a rocket body of mass 69.5 g, and if the rocket is fired in outer space,what is the final velocity of the rocket? Assume the fuel burns ata constant rate. (a) What is the average exhaust speed of theengine?

(b) If this engine is placed in a rocket body of mass 69.5 g, and if the rocket is fired in outer space,what is the final velocity of the rocket? Assume the fuel burns ata constant rate.

Explanation / Answer

(a)
according to the given question the fuel burns at arate    dM / dt = 12.7 g / 1.90 s                =........ kg / s    the thrust will be    thrust = ve (dM / dt)    5.26 N = ve (dM / dt)    ve = ........ m / s (b)    for this case we use the equation    vf - vi = veln(Mi / Mf)    vf - 0 = ve ln((62.5 g +25.5 g) / (62.5 g + 25.5 g - 12.7 g))    vf = ........ m / s

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