Particles A, B, and C each have mass (m), and their energies are (E_{mathrm{A}}=E, E_{mathrm{B}}=2 E), and
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Particles A, B, and C each have mass \(m\), and their energies are \(E_{\mathrm{A}}=E, E_{\mathrm{B}}=2 E\), and \(E_{\mathrm{C}}=3 E\). Rank the particles, largest first, in order of \((a)\) Lorentz factor, \((b)\) kinetic energy, \((c)\) speed, and \((d)\) magnitude of momentum.
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