Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{{\mathbf{mv}}}^{{\mathbf{2}}}}$

Momentum:

$\overline{){\mathit{p}}{\mathbf{=}}{\mathit{m}}{\mathit{v}}}$

K in terms of p:

$\overline{){\mathbf{K}}{\mathbf{=}}\frac{{\mathbf{p}}^{\mathbf{2}}}{\mathbf{2}\mathbf{m}}}$

We can prove the expression for K in terms of p by substituting **v = p/m**

The kinetic energy of an object is quadrupled. Its momentum will change by what factor?

a) 0

b) 2

c) 8

d) 4

e) none of the above

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What scientific concept do you need to know in order to solve this problem?

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