Intro to Momentum Video Lessons

Concept

# Problem: The kinetic energy of an object is quadrupled. Its momentum will change by what factor?a) 0b) 2c) 8d) 4e) none of the above

###### FREE Expert Solution

Kinetic energy:

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

Momentum:

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

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

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###### Problem Details

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