Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 39, Problem 19FTD
To determine

If the hypothetical graviton is ever discovered, what should its mass be.

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Consider an astronaut Alice space station orbiting the earth at a radius R = 4R⊕ from the center, where R⊕ = 6.4 × 10^6 m is the earth’s radius and M⊕ = 5.972 x 10^24 kg. Assume the orbit is circular. Consider a second astronaut Julie who’s far away outside the earth’s gravitational field and is at rest with respect to the earth.   1. Considering only special relativity, how much time does Alice age if Julie ages 1 year?   2. Considering only gravity (not special relativity), how much time does Alice age if Julie ages 1 year?   3. Now considering both of these effects (gravity and special relativity) , how much time does Alice age if Julie ages 1 year?
The kinetic energy of the ejecta from a supernova explosion is about 10^44 joules. Use the formula for kinetic energy to determine the typical speed at which matter is ejected from a supernova with a mass of 10 Msun. Compare that speed with the Sunʹs orbital speed around our galaxy. Based on your comparison, do you think the galaxyʹs gravity would be strong enough to retain the supernova debris if there were no interstellar medium to slow it down? Explain.
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