12 After passing Physics 4A with flying colors, Elijah gets a summer job with NASA launching small rockets for studying global weather patterns. He is asked to determine the maximum speed of a typical “Chabot Mark III" rocket loaded with 2.00 x 10² kg of fuel, with a launch mass of 245 kg, and a single-stage rocket motor generating 49 kN of thrust for 9 seconds. a) If the rocket was launched from rest in space, outside of Earth's gravity or other forces, and that all of the fuel is used up in that time interval at a constant rate, calculate the exhaust velocity of the fuel. b) Use this to calculate the maximum speed in deep space. c) wouldn't be able to go as fast. Can you *estimate* how high it would go, recognizing that Earth's force of gravity isn't constant with height, but decreases a bit (about 3% for every 100 km in altitude over the surface of Earth, as the rocket goes higher, at least for the first 500 km.)? If you launched this same rocket upwards from Earth, against the force of gravity, it

12 After passing Physics 4A with flying colors, Elijah gets a summer job with NASA launching small rockets for studying global weather patterns. He is asked to determine the maximum speed of a typical “Chabot Mark III" rocket loaded with 2.00 x 10² kg of fuel, with a launch mass of 245 kg, and a single-stage rocket motor generating 49 kN of thrust for 9 seconds. a) If the rocket was launched from rest in space, outside of Earth's gravity or other forces, and that all of the fuel is used up in that time interval at a constant rate, calculate the exhaust velocity of the fuel. b) Use this to calculate the maximum speed in deep space. c) wouldn't be able to go as fast. Can you estimate how high it would go, recognizing that Earth's force of gravity isn't constant with height, but decreases a bit (about 3% for every 100 km in altitude over the surface of Earth, as the rocket goes higher, at least for the first 500 km.)? If you launched this same rocket upwards from Earth, against the force of gravity, it

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum And Collisions

Section: Chapter Questions

Problem 10WUE

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Repeat the preceding problem but for a rocket that takes off from a space station, where there is no gravity other than the negligible gravity due to the space station.
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3.38★★ Suppose lunar landing craft needs to hover just above the surface of the moon for one minute, where the gravitational acceleration is g/6. If the exhaust speed is 1800 m/s, what mass of fuel is used as a fraction of the initial mass of the landing craft?
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On August 10, 1972, a large meteorite skipped across the atmosphere above the western United States and western Canada, much like a stone skipped across water.The accompanying fireball was so bright that it could be seen in the daytime sky and was brighter than the usual meteorite trail. The meteorite’s mass was about 4 * 106 kg; its speed was about 15 km/s. Had it entered the atmosphere vertically, it would have hit Earth’s surface with about the same speed. (a) Calculate the meteorite’s loss of kinetic energy (in joules) that would have been associated with the vertical impact. (b) Express the energy as a multiple of the explosive energy of 1 megaton of TNT, which is 4.2 * 1015 J. (c) The energy associated with the atomic bomb explosion over Hiroshima was equivalent to 13 kilotons of TNT. To how many Hiroshima bombs would the meteorite impact have been equivalent?
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