Net Work & Work-Energy Theorem Video Lessons

Concept

# Problem: 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 va/vb?

###### FREE Expert Solution

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.

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###### Problem Details

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 va/vb?