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This problem is a variation on Problem 2.11. Einstein found that the equation for kinetic energy was only a good approximation for speeds much less than
the speed of light, . At speeds comparable to the speed of light, the correct equation
is
- As in the earlier, simpler problem, find the power for an object accelerating at a steady rate, with .
- Check that your answer has the right units.
- Verify that the power required becomes infinite in the limit as approaches , the speed of light. This means that no material object can go as fast as the speed of light.
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