The mass of a rocket changes as its engines operate because the rocket ejects th

Question

The mass of a rocket changes as its engines operate because the rocket ejects the fuel it hums. If a fuel of mass deltam is ejected out the back of the rocket with speed v, the magnitude of the momentum of the ejected fuel would be (deltam)v. By conservation of momentum, the forward momentum of the rocket should increase by deltap = (deltam)v. According to Newton's second law. the forward force exerted on the rocket by the ejected fuel (known as thrust) would be F = deltap / deltap = (deltam / deltat)v The ascent stage of the lunar lander was designed to produce 116,000 Af thrust. If the fuel was burned at a rate of 7.00 kg/s, what was the speed of the ejected fuel? Express your answer in miles per hour.

Explanation / Answer

Speed of ejected fuel = F/mass rate = 116000/7 = 16571.42 m/s = 37069.2 miles per hour

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