ecp Show that the kinetic energy of a particle of mass $m$ is related to the magnitude of the momentum $p$ of that particle by $K E=p^{2} / 2 m .$ Note: This expression is invalid for particles traveling at speeds near that of light.
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Show that the kinetic energy of a particle of mass m is related to the magnitude of the momentum p of that particle by $K E=p^{2} / 2 m .$ (Note: This expression is invalid for particles traveling at speeds near that of light.)
(a) A particle of mass $m$ moves with momentum of magnitude $p .$ Show that the kinetic energy of the particle is given by $K=p^{2} / 2 m$ . (b) Express the magnitude of the particle's momentum in terms of its kinetic energy and mass.
Show that the wavelength of a particle of mass $m$ with kinetic energy $K$ is given by the relativistic formula $\lambda=h c / \sqrt{K^{2}+2 m c^{2} K}$
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