Question
Show that the speed of an object having momentum of magnitude $p$ and mass $m$ is $$u=\frac{c}{\sqrt{1+(m c / p)^{2}}}$$
Step 1
Step 1: We start with the relativistic momentum equation, which is given by: \[p = \frac{m \cdot u}{\sqrt{1 - \frac{u^2}{c^2}}}\] Show more…
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Show that the speed of an object having momentum $p$ and mass $m$ is $$ u=\frac{c}{\sqrt{1+(m c / p)^{2}}} $$
Show that an object with momentum $p$ and rest mass $m_{0}$ has a speed given by $$v=\frac{c}{\sqrt{1+\left(m_{0} c / p\right)^{2}}}$$
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