Relationships Between Force, Field, Energy, Potential Video Lessons

Concept

# Problem: What is the speed of a proton that has been accelerated from rest through a potential difference of -1000V?Express your answer to two significant figures and include the appropriate units.

###### FREE Expert Solution

Law of conservation of energy:

$\overline{){{\mathbf{K}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{W}}}_{{\mathbf{nc}}}{\mathbf{=}}{{\mathbf{K}}}_{{\mathbf{f}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{f}}}}$

Wnc is the work done by non-conservative forces.

Potential energy:

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

Kinetic energy:

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

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###### Problem Details

What is the speed of a proton that has been accelerated from rest through a potential difference of -1000V?

Express your answer to two significant figures and include the appropriate units.

What scientific concept do you need to know in order to solve this problem?

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