A particle with mass mA is struck head-on by another particle with mass mB that is initially moving at speed v0 . The collision is elastic. (a) What percentage of the original energy does each particle have after the collision? (b) For what values, if any, of the mass ratio mA /mB is the original kinetic energy shared equally by the two particles after the collision

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 9.23P
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A particle with mass mA is struck head-on by another particle with mass mB that is
initially moving at speed v0 . The collision is elastic.
(a) What percentage of the original energy does each particle have after the collision?
(b) For what values, if any, of the mass ratio mA /mB is the original kinetic energy shared
equally by the two particles after the collision?

A particle with mass ma is struck head-on by another particle with mass mg that is
initially moving at speed v, . The collision is elastic.
(a) What percentage of the original energy does each particle have after the collision?
(b) For what values, if any, of the mass ratio ma/m, is the original kinetic energy shared
equally by the two particles after the collision?
Transcribed Image Text:A particle with mass ma is struck head-on by another particle with mass mg that is initially moving at speed v, . The collision is elastic. (a) What percentage of the original energy does each particle have after the collision? (b) For what values, if any, of the mass ratio ma/m, is the original kinetic energy shared equally by the two particles after the collision?
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