Suppose an electron (q = – e= -1.6 × 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 1 -mv² and using the formula for potential energy above, we arrive at an equation for speed: Since K=
Suppose an electron (q = – e= -1.6 × 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 1 -mv² and using the formula for potential energy above, we arrive at an equation for speed: Since K=
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 16OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with...
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![Suppose an electron (q = - e = - 1.6 x 10¬19 C,m=9.1 × 10¬3' 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
mv and using the formula for potential energy above, we arrive at an equation for speed:
2
Since K=
v = (
1/2
Plugging in values, the value of the electron's speed is:
x 107 m/s
V=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe548d5b3-cf29-41a5-ab28-dbb097f8bc9e%2F772f899a-6105-4f36-b059-a93eff8ba99c%2Fz8ucwxo_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose an electron (q = - e = - 1.6 x 10¬19 C,m=9.1 × 10¬3' 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
mv and using the formula for potential energy above, we arrive at an equation for speed:
2
Since K=
v = (
1/2
Plugging in values, the value of the electron's speed is:
x 107 m/s
V=
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