21st Century Astronomy (sixth Edition)
6th Edition
ISBN: 9780393675504
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 23, Problem 22QP
To determine
The correct order of evolution of the stars and galaxies in the universe.
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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
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(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
If a proton is located on the x-axis in some coordinate system at x0 = -3.2 x 10-5 meters, what is the x-component of the Electric Field due to this proton at a position x = +3.2 x 10-5 meters and on the x axis as the y-axis is 0 giving a number of Newtons/Coulomb?
Chapter 23 Solutions
21st Century Astronomy (sixth Edition)
Ch. 23.1 - Prob. 23.1CYUCh. 23.2 - Prob. 23.2CYUCh. 23.3 - Prob. 23.3CYUCh. 23.4 - Prob. 23.4CYUCh. 23 - Prob. 1QPCh. 23 - Prob. 2QPCh. 23 - Prob. 3QPCh. 23 - Prob. 4QPCh. 23 - Prob. 5QPCh. 23 - Prob. 6QP
Ch. 23 - Prob. 7QPCh. 23 - Prob. 8QPCh. 23 - Prob. 9QPCh. 23 - Prob. 10QPCh. 23 - Prob. 11QPCh. 23 - Prob. 12QPCh. 23 - Prob. 13QPCh. 23 - Prob. 14QPCh. 23 - Prob. 15QPCh. 23 - Prob. 16QPCh. 23 - Prob. 17QPCh. 23 - Prob. 18QPCh. 23 - Prob. 19QPCh. 23 - Prob. 20QPCh. 23 - Prob. 21QPCh. 23 - Prob. 22QPCh. 23 - Prob. 23QPCh. 23 - Prob. 24QPCh. 23 - Prob. 25QPCh. 23 - Prob. 26QPCh. 23 - Prob. 27QPCh. 23 - Prob. 28QPCh. 23 - Prob. 29QPCh. 23 - Prob. 30QPCh. 23 - Prob. 31QPCh. 23 - Prob. 32QPCh. 23 - Prob. 33QPCh. 23 - Prob. 36QPCh. 23 - Prob. 37QPCh. 23 - Prob. 38QPCh. 23 - Prob. 45QP
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