Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 44AP

(a)

To determine

The method due to which the gas centrifuge is used to separate particles of different mass.

(b)

To determine

To show: The density of the particle as a function of r is n(r)=n0em0r2ω2/2kBT .

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a) Compare the average kinetic energy K;TRT of air molecules to the difference in gravitational energies, AU = mgz, at the top and bottom of a room, of height z = 3 m. Again, you can assume air is made of nitrogen only. Why doesn't the air in the room fall to the floor? What could you do to make it fall? b) This time calculate it for a 50 µm dirt particle of mass 1.25×10-10 kg. Does it fall to the ground and if so, why?
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A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density p 3.06 x 106 g/m³ and volume V = 3.32 x 1012 m³. Recall that the universal gravitational constant is G : 6.67 x 10-11 N-m²/kg².

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Physics for Scientists and Engineers with Modern Physics

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