A particle of mass m moving with speed u makes a head-on collision with an identical particle which is initially at rest. The particles coalesce and move off with a common velocity. (a) Find the common speed of the particles after the collision. (b) Find the ratio of the kinetic energy of the system after the collision to that before it. (c) What happens to the kinetic energy that is 'lost'?

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 9.32P
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A particle of mass m moving with speed u makes a head-on collision with an identical particle
which is initially at rest. The particles coalesce and move off with a common velocity.
(a) Find the common speed of the particles after the collision.
(b) Find the ratio of the kinetic energy of the system after the collision to that before
it.
(c) What happens to the kinetic energy that is 'lost'?
Transcribed Image Text:A particle of mass m moving with speed u makes a head-on collision with an identical particle which is initially at rest. The particles coalesce and move off with a common velocity. (a) Find the common speed of the particles after the collision. (b) Find the ratio of the kinetic energy of the system after the collision to that before it. (c) What happens to the kinetic energy that is 'lost'?
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