Question

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?

Answer 1

The kinetic energy is given by:

`K=(1)/(2)mv^2`

If we want to double it then we have:

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

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