Complete Question
Consider an object that at one time has energy E_1 and momentum p 1 and at a later time has energy E_2 and momentum p_2 . Use the relativistic energy-momentum equation E 2 = p 2 c 2 + m 2 c 4 to find the value of
E 2 2 − E 2 1 . Express your answer in terms of p_1 , p_2 , m and c
Answer:
The value of [tex]E_2^2 -E_1^2[/tex] [tex]=(p_2^2 -p_1^2)c^2[/tex]
Explanation:
The objective of the Question is to obtain
[tex]E_2^2 -E_1^2[/tex]
Energy momentum equation is mathematically represented as
[tex]E^2 = p_1 c^2 +m^2 c^2[/tex]
Where c is velocity and m is mass
From the question we are told that
[tex]E_2^2 = p_2c^2 +m^2c^2[/tex]
Therefore
[tex]E^2_1 = p_1c^2 +m^2c^2[/tex]
Now
[tex]E_2^2 -E_1^2[/tex] [tex]=(p_2^2 -p_1^2)c^2[/tex]
