Rockets are not always launched straight up. Consider a rocket launcher consisting of a ramp inclined at 30 degrees above the horizontal. The mass of the rocket is 4,000 kg of which 3,000 kg is fuel. The exhaust speed is 1,000 m/s and the fuel is burned at a constant rate of 200 kg/s. You may assume a flat, airless, nonrotating Earth. a) Determine the velocity and direction of the rocket at the time all the fuel is burned. b) Determine its position at this time

Rockets are not always launched straight up. Consider a rocket launcher consisting of a ramp inclined at 30 degrees above the horizontal. The mass of the rocket is 4,000 kg of which 3,000 kg is fuel. The exhaust speed is 1,000 m/s and the fuel is burned at a constant rate of 200 kg/s. You may assume a flat, airless, nonrotating Earth. a) Determine the velocity and direction of the rocket at the time all the fuel is burned. b) Determine its position at this time

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I. With external gravitational field In this second part you are asked to analyze rocket propulsion with the present of gravitational field g. This appears for instance when the rocket is launching from the surface of a planet. (1) Describes why you are not allowed to use the momentum conservation here. (2) Evaluate the speed of the rocket measure by inertial observer on the ground as a function of time v(t) if the speed of the gas propulsion with respect to the rocket is vret and the burning rate is constant constant! dm dt (3) Plot v(t) that you obtained from point (2) above, for three different values of gravitational field (assuming similar initial mass), which is: Imoon = 1.62 m/s? • Gearth = 9.81 m/s? Ijupiter = 24.79 m/s? in a single plot, if the burn dm ate is constant = 1500 kg/s. Analyze your result and dt describes how the speed increases for each situation! 20:18 Ai 11/03/2022
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