# Problem: Part AWhat is the strength of an electric field that will balance the weight of a proton?Part BWhat is the direction of an electric field that will balance the weight of a proton?a) upwardb) downwardPart C What is the strength of an electric field that will balance the weight of an electron?Part DWhat is the direction of an electric field that will balance the weight of an electron?a) upwardb) downward

###### FREE Expert Solution

Part A

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{q}}{\mathbf{E}}}$

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}}$

q = +1.6 × 10-19 C

m = 1.67 × 10-27 kg

g = 9.8 m/s2

$\begin{array}{rcl}\mathbf{\Sigma }\mathbf{F}& \mathbf{=}& \mathbf{m}\mathbf{a}\\ \mathbf{qE}\mathbf{-}\mathbf{mg}& \mathbf{=}& \mathbf{0}\\ \mathbf{E}& \mathbf{=}& \frac{\mathbf{m}\mathbf{g}}{\mathbf{q}}\\ & \mathbf{=}& \frac{\mathbf{\left(}\mathbf{1}\mathbf{.}\mathbf{67}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{27}}\mathbf{\right)}\mathbf{\left(}\mathbf{9}\mathbf{.}\mathbf{8}\mathbf{\right)}}{\mathbf{\left(}\mathbf{1}\mathbf{.}\mathbf{6}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{19}}\mathbf{\right)}}\end{array}$

###### Problem Details

Part A

What is the strength of an electric field that will balance the weight of a proton?

Part B

What is the direction of an electric field that will balance the weight of a proton?

a) upward

b) downward

Part C

What is the strength of an electric field that will balance the weight of an electron?

Part D

What is the direction of an electric field that will balance the weight of an electron?

a) upward

b) downward