A proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. (b) An alpha particle (charge = 2e, mass = 6.64 x 10-27 kg) is now placed at (x, y) = (3.00, 3.00) fm. Calculate the electric potential energy associated with this configuration. (c) Starting with the three-particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 19P: A proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm...
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A proton is located at the origin, and a second proton
is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m).
(a) Calculate the electric potential energy associated with
this configuration. (b) An alpha particle (charge = 2e, mass
= 6.64 x 10-27 kg) is now placed at (x, y) = (3.00, 3.00) fm.
Calculate the electric potential energy associated with this
configuration. (c) Starting with the three-particle system, find
the change in electric potential energy if the alpha particle
is allowed to escape to infinity while the two protons remain
fixed in place. (Throughout, neglect any radiation effects.)
(d) Use conservation of energy to calculate the speed of the
alpha particle at infinity. (e) If the two protons are released
from rest and the alpha particle remains fixed, calculate the
speed of the protons at infinity.
Transcribed Image Text:A proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. (b) An alpha particle (charge = 2e, mass = 6.64 x 10-27 kg) is now placed at (x, y) = (3.00, 3.00) fm. Calculate the electric potential energy associated with this configuration. (c) Starting with the three-particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity.
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