A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary, just above the ground. (a) Write down a differential equation for the rocket’s mass using the condition that the thrust must balance the force of gravity. Assume the exhaust speed vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary, just above the ground. (a) Write down a differential equation for the rocket’s mass using the condition that the thrust must balance the force of gravity. Assume the exhaust speed vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A SpaceX rocket with an initial mass of m0 uses its engines to hover, stationary,
just above the ground. (a) Write down a differential equation for the rocket’s mass using
the condition that the thrust must balance the force of gravity. Assume the exhaust speed
vex is a constant. (b) The rocket burns fuel and hovers until the final mass is mf . Solve for
the amount of time it is able to hover. (c) Calculate the hover time for a rocket that burns
an amount of fuel equal to 30% of its initial mass, with an exhaust speed of 2000 m/s.
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