From Einstein’s theorem
Relativistic momentum,
[tex]p=mv/\sqrt{1-v^{2}/c^{2} }[/tex]
If velocity is doubled
[tex]p=m2v/\sqrt{1-2v^{2}/c^{2} }[/tex]
Therefore, if the velocity doubles, the relativistic mass will likewise double, resulting in a linear momentum that is greater than twice as great.
what is relativistic momentum?
The law of conservation of momentum holds true for relativistic momentum in any situation where there is no net external force. Relativistic momentum p is classical momentum multiplied by the relativistic factor δ
p=δ/mu, where m is the rest mass of the object, u is its velocity relative to an observer, and the relativistic factor [tex]\boldsymbol{\gamma = \frac{1}{\sqrt{1 - \frac{u^2}{c^2}}}} .[/tex]
Relativistic momentum is the same as classical momentum at slow speeds.
Relativistic momentum approaches infinity as u approached c. This suggests that a mass-containing item cannot travel at the speed of light.
Like classical momentum, relativistic momentum also exhibits conservation
To know more about momentum:
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