Rocket Motion UC Riverside students are consumed by jealousy of UC Irvine students for their superior location and general hipness. To make themselves feel better, they build a rocket to fire at UCI. Their rocket is affected by several forces: • Gravitational: F = mR(t) GME rR 2 • Thrust: Ve dm dt • Air resistance: ?d(rR – rE) ¯vR 2/mR(t) where • mR(t) is the mass of the rocket at time t (some mass lost due to use of fuel) • rR is the distance of the ricket from the center of the Earth • G, ME are the graviational constants and the mass of the Earth • Ve is the exhaust velocity and dm dt is the rate of fuel use • d(y) is the relative density of the atmosphere at altitude of y meters above sea level, where d(y) = e ( – 9 × 10-5 y) • ? is the coefficient of drag 8 They build a 10,000 kg rocket carrying 7,000 kg of fuel, which uses 150 kg per second to produce an exhaust velocity of 300 km/hour. Its coefficient of drag is ? = -0.0002 If they shoot it straight up, how far does it go? With what velocity does it strike the earth? What is the maximum range they can achieve? At what angle? UCI students develop a laser to track incoming rockets and zap them. Doing so increases the coefficient of drag by 100%. How much does that change the strike location?
The post Rocket Motion UC Riverside students appeared first on My Assignment Online.
