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A moving car has kinetic energy. If it speeds up until it is going four times faster than before, how much kinetic energy does it have in comparison?

Respuesta :

Ratio of final kinetic energy to initial kinetic energy is 16.

Explanation:

Kinetic energy , KE = 0.5mv²

Here car speeds up to four times the initial speed, we need to find ratio of final kinetic energy to initial kinetic energy.

Final speed = 4 x Initial speed = 4v

Initial KE = 0.5mv²

Final KE = 0.5 x m x (4v)²

Final KE = 16 x 0.5 x m x v²

Final KE = 16 x Initial KE

Ratio of final kinetic energy to initial kinetic energy is 16.

Answer:

A three times as fast car has 4(2) or 16 times the KE.

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