A proton is located at the origin, and a second proton is located on the x-axis at X1 = 5.12 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. 4.51e-14 J (b) An alpha particle (charge = 2e, mass = 6.64 × 10−27 kg) is now placed at (X2, Y2) = (2.56, 2.56) fm. Calculate the electric potential energy associated with this configuration. 3.0006e-13 J (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.) -2.55e-13 J (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. 8.766e6 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. 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
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 X1 = 5.12 fm (1 fm = 10-15 m).
(a) Calculate the electric potential energy associated with this configuration.
4.51e-14
J
(b) An alpha particle (charge = 2e, mass = 6.64 × 10−27 kg) is now placed at (X2, Y2) = (2.56, 2.56) fm. Calculate the electric potential energy associated with this configuration.
3.0006e-13
J
(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.)
-2.55e-13
J
(d) Use conservation of energy to calculate the speed of the alpha particle at infinity.
8.766e6
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.
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
Transcribed Image Text:A proton is located at the origin, and a second proton is located on the x-axis at X1 = 5.12 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. 4.51e-14 J (b) An alpha particle (charge = 2e, mass = 6.64 × 10−27 kg) is now placed at (X2, Y2) = (2.56, 2.56) fm. Calculate the electric potential energy associated with this configuration. 3.0006e-13 J (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.) -2.55e-13 J (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. 8.766e6 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. 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
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