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26 Nov 2019

Show that for non-relativistic velocities v << c it is z =v=c, that is, the redshift for
"nearby" astrophysical objects is directly related to the velocityof the object itself.

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Here is the info about the question. what i just dontunderstand isin the dispersion equation, v-vave. I know to use theaverage velocities for vave obviously,but what value isto be used for v?

Assume that the galaxy cluster of question 2 has a radius of 1Mpc(=3 x 1022 m). What is its mass?
Hints: use the virial equation s2 = GM/R = 4.5x10-9 M/R, where M is expressed in Msun, sisin km/sec, and R is in Mpc.
s is the velocity dispersion: s={[sum(v-vave)2]/(N-1)}1/2

Galaxy Name Redshift (km/sec)
G001 1915
G002 953
G003 2741
G004 1095
G005 2178
G006 2630
G007 1245

fyi: here is question 2:
A galaxy cluster contains the galaxies listed in the tablebelow.What is the distance to this cluster?

Galaxy Name Redshift (km/sec)
G001 1915
G002 953
G003 2741
G004 1095
G005 2178
G006 2630
G007 1245
i got 25 mpc for the distance.

Worked solution to the problem with the steps taken is greatlyappreciated. :)

Using the following two equations, prove that the total energy ofanobject is related to its relativistic momentum p accordingtoE^2=p^2*c^2 + (mc^2)^2.

Equation 1: E = mc^2/[sprt (1 - (v^2/c^2))]

Equation 2: p = mv/[sprt (1 - (v^2/c^2))]

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