A small rocket burns 0.0500 kg of fuel per second, ejecting it as a gas with a velocity relative to the rocket of magnitude 1600 m/s. (a) What is the thrust of the rocket? (b) Would the rocket operate in outer space where there is no atmosphere? If so, how would you steer it? Could you brake it?

Solution 62E Step 1: Given data: The rate of change of fuel mass ejected dm/dt = ( 0.0500 kg/s). Magnitude of gas velocity relative to the rocket v = 1600 m/s. Step 2: (a).Impulse from each mass dm is dI = dp = V dm Force exerted by rocket exhaust F = dI/dt = V dm/dt Thrust is equal and opposite T = V dm/dt T = (1600 m/s)(0.0500 kg/s) T = 80 N