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Finally, Einstein considers a “slowly accelerated” electron.
Here, “slowly” means he will ignore the energy it radiates as it accelerates. Instead, he wants to focus on the work required to bring the object up to some speed v. This is just the object's kinetic energy.
Einstein notes that his calculation applies to any "ponderable material point" whether or not it is charged. So it doesn't have to be an electron; the result would be the same for any massive particle.
He obtains:
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