Suppose an electron (q = - e = -1.6 × 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 th 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: 1/2 Plugging in values, the value of the electron's speed is: x 107 m/s
Suppose an electron (q = - e = -1.6 × 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 th 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: 1/2 Plugging in values, the value of the electron's speed is: x 107 m/s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Suppose an electron (q = - e = - 1.6 x 10-19C,m=9.1 x 10-31 kg) is accelerated from rest through a potential difference of Vah = +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:
v = (
1/2
Plugging in values, the value of the electron's speed is:
x 107 m/s
v=
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