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?
1 m/s

(b) If this engine is placed in a rocket body of mass 62.5 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.
2 m/s (a) What is the average exhaust speed of theengine?
1 m/s

(b) If this engine is placed in a rocket body of mass 62.5 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.
2 m/s

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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