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183_notes:momentum [2021/02/04 23:05] – [Changes in Motion] stumptyl | 183_notes:momentum [2021/02/04 23:07] (current) – [When does the $\gamma$ factor matter?] stumptyl | ||
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==== Definition of Momentum ==== | ==== Definition of Momentum ==== | ||
- | //Momentum is a [[: | + | **Momentum** is a [[: |
More formally, it is the product of the object' | More formally, it is the product of the object' | ||
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$$\gamma = \dfrac{1}{\sqrt{1-\left(\dfrac{|\vec{v}|}{c}\right)^2}}$$ | $$\gamma = \dfrac{1}{\sqrt{1-\left(\dfrac{|\vec{v}|}{c}\right)^2}}$$ | ||
- | where $c$ is the speed of light in vacuum ($c = 3.00 \times 10^8 \dfrac{m}{s}$). | + | where **$c$** //is the speed of light in vacuum// **($c = 3.00 \times 10^8 \dfrac{m}{s}$).** |
==== When does the $\gamma$ factor matter? ==== | ==== When does the $\gamma$ factor matter? ==== | ||
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- | For most purposes, $\gamma \approx 1$, so we can often use the approximate formula for the momentum vector, | + | For most purposes, |
$$\vec{p} = m\vec{v}$$ | $$\vec{p} = m\vec{v}$$ |