class17 - example: A ball of mass m and kinetic energy E is...

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example: A ball of mass m and kinetic energy E is in an elastic collision with a second ball of mass 4 m initially at rest. The two balls depart in directions making an angle of 120 degrees with each other. What are the Fnal energies of the two balls? solution: We can get the velocity ratio from cos(120) = ( - 3 m ) v 2 2 mv 1 v 1 v 2 = 3 (90) The Fnal energy ratio is E 1 E 2 = 1 2 mv 2 1 1 2 4 mv 2 2 = 1 4 ± v 1 v 2 ² 2 = 9 4 (91) 2.1.1 Inelastic collisions In general, large changes in energies may be involved when particles collide. ±or example: a proton colliding with a nucleus may release some energy, adsorb the proton, or release some neutron or alpha particle. All of these cases are handled with the same methods: conservation of energy and linear momentum. We restrict the below discussion to the case where the particles are the same in the Fnal system as the initial system. The conservation of energy is Q = 1 2 m 1 u 2 1 + 1 2 m 2 u 2 2 = 1 2 m 1 v 2 1 + 1 2 m v v 2 2 (92) where
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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.

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class17 - example: A ball of mass m and kinetic energy E is...

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