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🔋college physics i – introduction review

key term - Relativistic momentum

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Definition

Relativistic momentum is the momentum of an object taking into account the effects of special relativity. It is given by $p = \gamma mv$, where $\gamma$ is the Lorentz factor, $m$ is the rest mass, and $v$ is the velocity.

5 Must Know Facts For Your Next Test

  1. Relativistic momentum increases more rapidly than classical momentum as an object's speed approaches the speed of light.
  2. The Lorentz factor, $\gamma$, in relativistic momentum is defined as $\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}$.
  3. Relativistic momentum reduces to classical momentum ($p = mv$) at low velocities (when $v << c$).
  4. Conservation of momentum in relativistic mechanics still holds true and must account for relativistic effects.
  5. As velocity approaches the speed of light, relativistic momentum approaches infinity.

Review Questions

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