Physics

Problem

In a region of space the electric field

\mathbf{E}

points along the

+x

-axis and has the following constant values: •

E=+3.0\,\text{N/C}

for

0\le x\le2.0\,\text{m}

•

E=-1.0\,\text{N/C}

for

2.0\,\text{m}<x\le4.0\,\text{m}

The electric potential at

x=0

is defined to be

0\,\text{V}

. A proton starts from rest at

x=0

and moves only under the influence of this field. Which of the following most nearly equals the proton’s change in kinetic energy after it has reached

x=4.0\,\text{m}

? a)

+9.6\times10^{-19}\,\text{J}

-6.4\times10^{-19}\,\text{J}

+1.28\times10^{-18}\,\text{J}

+6.4\times10^{-19}\,\text{J}

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