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A person is running at a velocity vv. By which factor would they need to increase their speed in order to double their kinetic energy?

A person is running at a velocity vv By which factor would they need to increase their speed in order to double their kinetic energy class=
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Respuesta :

The kinetic energy is given by:

[tex]K=\frac{1}{2}mv^2[/tex]

If we want to double it then we have:

[tex]2(\frac{1}{2}mv^2)=\frac{1}{2}m(\sqrt[]{2}v)^2[/tex]

Therefore the speed has to increas by a factor of square root of 2

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