Answered: Suppose an electron (q= -e = -1.6 x…

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter4: Work And Energy

Section4.4: Power

Problem 2PQ: Electric bills from power companies charge for so many kilowatt-hours (kWh). What are we paying for?

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Suppose an electron (q= -e = -1.6 x 10^-19 C, m = 9.1 x 10^-31 kg) is accelerated from rest through a potential difference of V_ab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant figures. Use the template in the attached photo to solve for the problem.

potential difference of Vab = +5000 V. Solve for the final speed of the electron. Express numerical answer in two significant
figures.
The potential energy U is related to the electron charge (-e) and potential Vab is related by the equation:
U =
Assuming all potential energy U is converted to kinetic energy K,
K+U = 0
K= -U
1
Since K= mv and using the formula for potential energy above, we arrive at an equation for speed:
v =(
1/2
Plugging in values, the value of the electron's speed is:
x 107 m/s
V=

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