Kinetic energy:

$\overline{){\mathbf{K}}{\mathbf{.}}{\mathbf{E}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbf{2}}{\mathbf{m}}{{\mathbf{v}}}^{{\mathbf{2}}}}$

**a.**

Kinetic energy is directly proportional to the square of particle's speed.

a. if a particle's speed increases by a factor of three, by what factor does its kinetic energy change?

b. particle A has half the mass and eight times the kinetic energy of particle B. what is the speed ratio v_{a}/v_{b}?

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