Question

According to the theory of relativity, the mass of an object at velocity v is given by

where c is the speed of light.
(a) Find the domain of the function m(v).
(b) What value does the mass approach as the particles speed v approaches the speed of light
(from below)?
(c) Find a formula for m′
(v). What is the meaning of m′
(v)?
(d) Suppose mass is measured in kg, time in seconds, distance in meters. What are the units
of m(v)? What are the units of m′
(v)? Confirm using the formulas for m(v), m′
(v).

Answer 1

\[m(v)=m _{0}/\sqrt{1-v ^{2}/c ^{2}}\]

Answer 2

Im just confused on how to start