Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 9, Problem 44P
(a)
To determine
The difference in the elapse time between someone on the earth and the orbiting astronaut for the
(b)
To determine
Whether the press report accurate information and explain the statement.
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In this problem, you are going to explore three different ways to determine the gravitational constant G.
a) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.66 × 10-3 m/s2, what is the gravitatonal constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.96 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.81 × 108 m.
b) Measuring the centripetal acceleration of an orbiting object is rather difficult, so an alternative approach is to use the period of the orbiting object. Find an expression for the gravitational constant in terms of the distance between the gravitating objects rm, the mass of the larger body (the earth) ME, and the period of the orbiting body T.
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A. 5.968 x 10^24 g
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C. 5.968 x 10^24 kg
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Chapter 9 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 9.4 - Suppose the observer O on the train in Active...Ch. 9.4 - Prob. 9.2QQCh. 9.4 - Prob. 9.3QQCh. 9.4 - Prob. 9.4QQCh. 9.5 - You are driving on a freeway at a relativistic...Ch. 9.7 - The following pairs of energiesparticle 1: E, 2E;...Ch. 9 - An astronaut is traveling in a spacecraft in outer...Ch. 9 - A distant astronomical object (a quasar) is moving...Ch. 9 - Prob. 3OQCh. 9 - A spacecraft zooms past the Earth with a constant...
Ch. 9 - Which of the following statements are fundamental...Ch. 9 - Prob. 6OQCh. 9 - Prob. 7OQCh. 9 - Prob. 8OQCh. 9 - Two identical clocks are set side by side and...Ch. 9 - You measure the volume of a cube at rest to be V0....Ch. 9 - A train is approaching you at very high speed as...Ch. 9 - Explain why, when defining the length of a rod, it...Ch. 9 - A particle is moving at a speed less than c/2. If...Ch. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - (a) “Newtonian mechanics correctly describes...Ch. 9 - Prob. 9CQCh. 9 - (i) An object is placed at a position p > f from a...Ch. 9 - With regard to reference frames, how does general...Ch. 9 - In a laboratory frame of reference, an observer...Ch. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - An astronaut is traveling in a space vehicle...Ch. 9 - At what speed does a clock move if it is measured...Ch. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - A friend passes by you in a spacecraft traveling...Ch. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - An enemy spacecraft moves away from the Earth at a...Ch. 9 - Prob. 20PCh. 9 - Figure P9.21 shows a jet of material (at the upper...Ch. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - An alien spaceship traveling at 0.600c toward the...Ch. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Spacecraft I, containing students taking a physics...Ch. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Owen and Dina are at rest in frame S, which is...Ch. 9 - A rod of length L0 moving with a speed v along the...Ch. 9 - Prob. 65P
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