Relationships Between Force, Field, Energy, Potential Video Lessons

Concept

# Problem: If a proton is accelerated from rest through a potential difference of 1500 V, find its final velocity. proton mass = 1.67 × 10−27 kg. Hint- first find its kinetic energy, then its velocity.

###### FREE Expert Solution

Kinetic Energy:

$\overline{)\begin{array}{rcl}\mathbf{K}\mathbf{.}\mathbf{E}& {\mathbf{=}}& \frac{\mathbf{1}}{\mathbf{2}}{\mathbf{mv}}^{\mathbf{2}}\end{array}}$

Electric potential energy:

$\overline{){\mathbf{U}}{\mathbf{=}}{\mathbf{q}}{\mathbf{·}}{\mathbf{V}}}$

We'll equate potential energy to kinetic energy, then solve for the velocity.

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###### Problem Details

If a proton is accelerated from rest through a potential difference of 1500 V, find its final velocity. proton mass = 1.67 × 10−27 kg. Hint- first find its kinetic energy, then its velocity.