Suppose an electron (q = -e = -1.6× 10~1ºC.m=9.1×10-31 kg) is accelerated from rest through a 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 Since K =mv and using the formula for potential energy above, we arrive at an equation for speed: Plugging in values, the value of the electron's speed is: x 10' m/s

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section: Chapter Questions
Problem 67PQ: A charged particle is moved in a uniform electric field between two points, A and B, as depicted in...
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Suppose an electron (q= -e= -1.6x 10-19 C.m=9.1×10-31 kg) is accelerated from rest through a 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
Since K=mv and using the formula for potential energy above, we arrive at an equation for speed:
1/2
Plugging in values, the value of the electron's speed is:
x 10' m/s
Transcribed Image Text:Suppose an electron (q= -e= -1.6x 10-19 C.m=9.1×10-31 kg) is accelerated from rest through a 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 Since K=mv and using the formula for potential energy above, we arrive at an equation for speed: 1/2 Plugging in values, the value of the electron's speed is: x 10' m/s
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