The energy-momentum relation is considered to be a relativistic equation through which one can relate to the object’s mass when at rest, its total energy, and momentum. This relativistic equation is applicable for a macroscopic body whose mass at rest is m0, the total energy is E, and the magnitude of the momentum is p, with c as the constant representing the speed of light.
Formula of Energy Momentum
Where,
- E is the energy
- p is the momentum
- c is the speed of light
- m0Â is the rest mass
Solved Examples
Example 1:
400 kJ is the energy of the particle which is in motion. The mass of this particle is 2× 10-9 g. Calculate the momentum of the particle.
Solution:
Given:
The energy, E = 400 kJ
The mass, m0 = 2× 10-9 g
We know that the speed of light, c = 3 × 108 m/s
Substituting the above values in the energy-momentum formula, we get
p = 119070.4 × 108 kg.m/s
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