By how much will the kinetic energy of a body increases if
its speed is tripled ?
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If the speed triples, how does the kinetic energy change? The kinetic energy increases as the square of the speed. If the speed triples, how does the kinetic energy change? The kinetic energy increases by a factor of 9.
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Answer:
The change in the kinetic energy of the object as the speed changes is proportional to the square of the factor by which the speed changes.
Similarly, if the speed of the object triples the kinetic energy becomes nine times the initial kinetic energy
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