Kinetic energy:

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

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

a) If the kinetic energy of a particle is tripled, by what factor has its speed increased?

b) If the speed of a particle is halved, by what factor does its kinetic energy change?

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