# Relativistic Momentum Formula

Relativistic Momentum Formula

The relativistic momentum refers to the maximum momentum that a body can acquire limited by speed light c which is the absolute speed limit in the universe.

Relativistic momentum = rest mass * velocity / squared root [one minus (velocity / speed of light) squared]

The equation is:

p = mv / sqrt (1 – v2 / c2)

Where:

m: rest mass (invariant mass)

v: velocity of the body

c: speed of light

Relativistic Momentum Formula Questions:

1) Find the momentum of a particle which has a mass of 5.83 x 10-27 kg that is moving at 60.0 x 106 m/s

We replace the data in the relativistic momentum equation:

p = (5.83 x 10-27 kg)(60.0 x 106 m/s) / sqrt [1 – (60.0 x 106 m/s / 3.0 x 108 m/s)2]

p = 3.57 x 10-19 kg.m / s

2) Find the momentum of a 2.5 x 109 kg asteroid travels at 30.0 x 103 m/s

We replace the data in the relativistic momentum equation:

p = (2.5 x 109 kg)(30.0 x 103 m/s) / sqrt [1 – (30.0 x 103 m/s / 3.0 x 108 m/s)2]

p = 7.5 x 103 kg.m / s