Elastic Collisions - Not Head On Subatomic particle A with mass m traveling with speed v to the right collides elastically with subatomic particle B of mass 4m that is initially at rest. Particle A is scattered upwards at an angle of 90° to its initial direction of travel. Particle B is scattered downwards at an angle 0 to the initial direction of travel of particle A. Do the following calculations to four significant figures. (a) Find: • 8. (answer: 37.76%) • the final speeds of both particles. (answer: (VA)ƒ = 0.7745v; (VB) = 0.3162v) • the percentage of the initial kinetic energy of particle A that is transferred to particle B. (answer: 39.99%) (b) Show that the result to the second item in part (a) is consistent with an elastic collision, that is, Kf=K₁.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.35P
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Elastic Collisions - Not Head On
Subatomic particle A with mass m traveling with speed v to the right collides elastically with subatomic
particle B of mass 4m that is initially at rest. Particle A is scattered upwards at an angle of 90° to its initial
direction of travel. Particle B is scattered downwards at an angle 9 to the initial direction of travel of particle
A. Do the following calculations to four significant figures.
(a) Find:
• 8. (answer: 37.76%)
•
the final speeds of both particles. (answer: (VA) = 0.7745v; (VB) = 0.3162v)
the percentage of the initial kinetic energy of particle A that is transferred to particle B. (answer:
39.99%)
(b) Show that the result to the second item in part (a) is consistent with an elastic collision, that is, Kf=K₁.
Transcribed Image Text:Elastic Collisions - Not Head On Subatomic particle A with mass m traveling with speed v to the right collides elastically with subatomic particle B of mass 4m that is initially at rest. Particle A is scattered upwards at an angle of 90° to its initial direction of travel. Particle B is scattered downwards at an angle 9 to the initial direction of travel of particle A. Do the following calculations to four significant figures. (a) Find: • 8. (answer: 37.76%) • the final speeds of both particles. (answer: (VA) = 0.7745v; (VB) = 0.3162v) the percentage of the initial kinetic energy of particle A that is transferred to particle B. (answer: 39.99%) (b) Show that the result to the second item in part (a) is consistent with an elastic collision, that is, Kf=K₁.
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