Question

A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the engine in a vacuum

Answer 1

Answer:

F = 96.5 kN

Explanation:

F = dm/dt v + PA

F = 30 kg/s(3100 m/s) + 5000(0.994/2)²π

F = 93000 +  3,499.482 N

F = 96.5 kN