Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 23, Problem 29Q

(a)

To determine

The redshift of the spectrum of galaxy NGC 4839, if the Hubble constant is 73 km/s/Mpc.

(b)

To determine

The distance to the spectrum of the galaxy NGC 4839 from Earth, if the Hubble constant is 73 km/s/Mpc.

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Because you are taking physics, your friend asks you to explain the detection of gravity waves that was made by LIGO in early 2016. (See the section that discusses LIGO.) To do this, you first explain about Einstein's notion of large masses, like those of stars, causing a curvature of spacetime. (See the section on general relativity.) To demonstrate, you put a bowling ball on your bed, so that it sinks downward and creates a deep depression in the mattress. Your sheet has a checked pattern that provides a nice coordinate system, as shown in the figure below. This is an example of a large mass (the bowling ball) creating a curvature of a flat, two-dimensional surface (the mattress) into a third dimension. (Spacetime is four dimensional, so its curvature is not easily visualized.) Then, you are going to amaze your friend by projecting a marble horizontally along a section of the sheet surface that is curved downward by the bowling ball so that the marble follows a circular path, as…
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