The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = [ F dx. Writing Newton's second law as F = dp/dt, show that W = Jv dp and integrate by parts using the relativistic momentum to obtain %3D %3D %3D
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 alt="2. The work-energy theorem relates the change in kinetic energy of a particle to the
work done on it by an external force: AK = W = J F dx. Writing Newton's second law
as F = dp/dt, show that W = Jv dp and integrate by parts
using the relativistic momentum to obtain
mc2
mc
K =
VI - v/c²
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