21st Century Astronomy (fifth Edition)
21st Century Astronomy (fifth Edition)
5th Edition
ISBN: 9780393603330
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 19, Problem 26QP
To determine

By relating the size of a typical AGN with the size of a solar system, how astronomers define the size of an AGN.

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64. Two springs have the same unstretched length but different spring constants, k₁ and k₂. (a) If they're connected side by side and stretched a distance x, as shown in Fig. 4.24a, show that the force exerted by the combination is (k₁ + k₂)x. (b) If they're con- nected end to end (Fig. 4.24b) and the combination is stretched a distance x, show that they exert a force k₁k2x/(k₁ + k₂). www (a) FIGURE 4.24 Problem 65 www (b)
65. Although we usually write Newton's second law for one-dimensional motion in the form F =ma, which holds when mass is constant, d(mv) a more fundamental version is F = . Consider an object dt whose mass is changing, and use the product rule for derivatives to show that Newton's law then takes the form F dm = ma + v dt
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