When balls collide in a game of pool, the collision is almost perfectly elastic. Let us assume that we have a perfectly elastic collision of two pool balls, on weighted heavier than the other M1 = 0.175 kg and M2=0.250 kg.  The inital velocity of ball 1 is v1i = 1.2 m/s and the inital velocity of ball 2 is v21 = -0.5 m/s.  The initial momentum and kinetic energy is - P1i = 0.21 kg m/s P2i = -0.125 kg/ms K1i = 0.126 J K2i = 0.03125 J Determine the final velocities of the two balls, v1f and v2f after this elastic collision.  If the collision took place in 1/20 of a second, delta t=0.05s, determine the average magnitude of the normal force acting between the balls during 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 9.36P: In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2...
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When balls collide in a game of pool, the collision is almost perfectly elastic. Let us assume that we have a perfectly elastic collision of two pool balls, on weighted heavier than the other M1 = 0.175 kg and M2=0.250 kg. 

The inital velocity of ball 1 is v1i = 1.2 m/s and the inital velocity of ball 2 is v21 = -0.5 m/s. 

The initial momentum and kinetic energy is -

P1i = 0.21 kg m/s

P2i = -0.125 kg/ms

K1i = 0.126 J

K2i = 0.03125 J

Determine the final velocities of the two balls, v1f and v2f after this elastic collision. 

If the collision took place in 1/20 of a second, delta t=0.05s, determine the average magnitude of the normal force acting between the balls during the collision.

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