Answer to Question #96723 in Mechanics | Relativity for James

Question #96723
The kinetic energy of a mass is given by ½MV² of its speed is doubled by what factor does the energy change
Expert's answer

The kinetic energy


@$K=\frac{Mv^2}{2}@$

If the speed of mass is doubled, then

@$K'=\frac{Mv'^2}{2}=\frac{M(2v)^2}{2}=4\times\frac{Mv^2}{2}=4K@$

So, kinetic energy increases by factor 4.


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