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.
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
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: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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