# 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 – v^{2} / c^{2})

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 10^{6} m/s

Answer:

We replace the data in the relativistic momentum equation:

p = (5.83 x 10^{-27} kg)(60.0 x 10^{6} m/s) / sqrt [1 – (60.0 x 10^{6} m/s / 3.0 x 10^{8} m/s)^{2}]

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

2) Find the momentum of a 2.5 x 10^{9} kg asteroid travels at 30.0 x 10^{3} m/s

Answer:

We replace the data in the relativistic momentum equation:

p = (2.5 x 10^{9} kg)(30.0 x 10^{3} m/s) / sqrt [1 – (30.0 x 10^{3} m/s / 3.0 x 10^{8} m/s)^{2}]

p = 7.5 x 10^{3} kg.m / s

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