Question
For a nonrelativistic particle of mass $m$, show that $K=$ $p^{2} /(2 m) .$ [Hint: Start with the nonrelativistic expressions for kinetic energy $K$ and momentum $p .]$
Step 1
The kinetic energy of a nonrelativistic particle is given by: $K = \frac{1}{2}mv^2$ The momentum of a nonrelativistic particle is given by: $p = mv$ Show more…
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For a nonrelativistic particle of mass $m,$ show that $K=p^{2} /(2 m) .$ [Hint: Start with the nonrelativistic expressions for kinetic energy $K$ and momentum $p$.]
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(a) If $m$ is a particle's mass, $p$ is its momentum magnitude, and $K$ is its kinetic energy, show that $$ m=\frac{(p c)^{2}-K^{2}}{2 K c^{2}} $$
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