The work–energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: ΔK = W = ∫ F dx. Writing Newton’s second law as F = dp/dt, showthatW =∫ v dpand integrate by parts using the relativistic momentum to obtain Equation 2.34. K = (mc^2)/√((1 − v2)/c^2) − mc^2
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The work–energy theorem relates the change in kinetic
energy of a particle to the work done on it by an external
force: ΔK = W = ∫ F dx. Writing Newton’s second law
as F = dp/dt, showthatW =∫ v dpand integrate by parts
using the relativistic momentum to obtain Equation 2.34.
K = (mc^2)/√((1 − v2)/c^2) − mc^2
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