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PROBLEMS 1. If a sparrow (m = 0.0200 kg) and a Boeing 747 (m = 174,000 kg) collide head on, which experiences the greater impact force? Which experiences the greater acceleration in opposite direction? 2. The thrust of a rocket is given by the equation Thrust = Dmt ve + (pe + po )Ae where Dmt = mass flow rate, ve = exhaust velocity, pe = exhaust pressure, po = free-stream pressure, and Ae = exhaust area. Fuel aboard a rocket is being ejected out the nozzle with a speed of 2750. m/s. The mass rate of the ejected fuel is 909.09 kg/s. (a) What is the thrust of the rocket (assume that the exhaust pressure is about equal to the free-stream pressure)? (b) What is the relationship between the direction of the exhaust and the direction of rocket travel? 3. (a) Derive a formula for the force acting on a rocket due to its weight. Use the variables given below: fuel mass flow rate = Dme mass of the rocket = Mr acceleration due to gravity = g duration of observation = t (b) Use 3(a) to calculate the force due to its weight acting on a 280,000 kg rocket with the given characteristics: exhaust mass flow rate = 1100 kg/s duration of observation = 1 min assume g is constant = 9.80 m/s2 Dt 54 Newton’s Third Law of MotionPDF Image | NASA Guide to Engines
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