A proton is located at the origin, and a second proton is located on the x-axis at x, - 5.30 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. 4.34e-14 (b) An alpha particle (charge = 2e, mass = 6.64 × 10-27 kg) is now placed at (x, Y½) = (2.65, 2.65) fm. Calculate the electric potential energy associated with this configuration. 2.89e-13 (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.) -2.46e-13 (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. 8.6e6 v m/s (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. 1.2e7 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s
A proton is located at the origin, and a second proton is located on the x-axis at x, - 5.30 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. 4.34e-14 (b) An alpha particle (charge = 2e, mass = 6.64 × 10-27 kg) is now placed at (x, Y½) = (2.65, 2.65) fm. Calculate the electric potential energy associated with this configuration. 2.89e-13 (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.) -2.46e-13 (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. 8.6e6 v m/s (e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity. 1.2e7 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. 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:A proton is located at the origin, and a second proton is located on the x-axis at x, = 5.30 fm (1 fm = 10-15 m).
(a) Calculate the electric potential energy associated with this configuration.
4.34e-14
(b) An alpha particle (charge = 2e, mass = 6.64 x 10-27 kg) is now placed at (x,, y,) = (2.65, 2.65) fm. Calculate the electric potential energy associated with this configuration.
2.89e-13
(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.)
-2.46e-13
(d) Use conservation of energy to calculate the speed of the alpha particle at infinity.
8.6e6
m/s
(e) If the two protons are released from rest and the alpha particle remains fixed, calculate the speed of the protons at infinity.
1.2e7
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to
minimize roundoff error. m/s
Expert Solution
Step 1
(e)
From part (b), the calculated value of electrical potential energy associated with this configuration is,
The change in potential energy of proton will be
(since both protons are equal in mass.)
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