EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Textbook Question
Chapter 36, Problem 14Q
Explain how the length contraction and time dilation formulas might be used to indicate that c is the limiting speed in the universe.
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Explain the fact the special theory of relativity defines the limits for the validity of Newtonian mechanics.
Two distant galaxies are observed to have redshifts z1 = 0.05 and z2 = 0.15, and distances d1 = 220.60 Mpc and d2 = 661.75 Mpc, respectively. Assuming the motion of the galaxies is due to the Hubble flow, determine the value of the Hubble constant, H0. Show how the value of H0 can be used to estimate the age of the Universe, describing any assumptions that you make. Use the value of H0 you have obtained to estimate the age of the Universe, expressing your answer in Gyr.
Name:
Hubble Distances
Redshift z parameter
The relativistic redshift is parametrized by z and given by
Δ
In terms of the scale factor,
2=
X
do - de
de
1+z=
ao
a
(2)
Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which
has been observed at a wavelength of 1.64 μm.
Astro 001 Fall 2022
Problem 02. How much smaller was the universe when this light was emitted?
U₁ = DHO
Using the redshift to measure the velocity, we find
D~
(1)
0.1 Hubble's Law
Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product
of the distance and the Hubble constant.
(3)
ZC
Ho
where c = 3 x 108 m/s and Ho = 2.3 x 10-18 s in standard units. The standard measurement
of the Hubble constant is Ho = 71 (km/s)/Mpc.
Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01?
1 pc = 3.26 ly.
Chapter 36 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 36 - You are in a windowless car in an exceptionally...Ch. 36 - You might have had the experience of being at a...Ch. 36 - Prob. 3QCh. 36 - Does the Earth really go around the Sun? Or is it...Ch. 36 - If you were on a spaceship traveling at 0.5c away...Ch. 36 - The time dilation effect is sometimes expressed as...Ch. 36 - Does time dilation mean that time actually passes...Ch. 36 - Prob. 8QCh. 36 - If you were traveling away from Earth at speed...Ch. 36 - Do time dilation and length contraction occur at...
Ch. 36 - Discuss how our everyday lives would be different...Ch. 36 - Explain how the length contraction and time...Ch. 36 - The drawing at the start of this Chapter shows the...Ch. 36 - Prob. 16QCh. 36 - Can a particle of nonzero mass attain the speed of...Ch. 36 - Prob. 18QCh. 36 - If mass is a form of energy, does this mean that a...Ch. 36 - Prob. 20QCh. 36 - Is our intuitive notion that velocities simply...Ch. 36 - (II) A friend speeds by you in her spacecraft at a...Ch. 36 - (I) Suppose in Fig. 3611 that the origins of S and...Ch. 36 - (II) An unstable particle is at rest and suddenly...Ch. 36 - Prob. 37PCh. 36 - Prob. 39PCh. 36 - (II) How much energy can be obtained front...Ch. 36 - Prob. 47PCh. 36 - Prob. 55PCh. 36 - A spacecraft (reference frame S) moves past Earth...Ch. 36 - As a rough rule, anything traveling faster than...
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Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY