Two identical balls A and B lie on a smooth horizontal surface ,which gradually merges into a curve to a height 3.2m.Ball A is given a velocity 10m/s to collide head on with ball B,which then takes up the curved path.The minimum coefficient of restitution e for the collision between A and B, in order that B reaches the highest pt C of curve.
Asked by m.nilu
15th September 2018,
7:51 PM
Answered by Expert
Answer:
Let the coefficient of restitution is e for the collision between the two balls.
After collision, ball-A moves with speed [(1-e)/2]×10 m/s and ball-B moves with speed [(1+e)/2]×10 m/s.
kinetic energy of ball-B = (1/2)×m×[(1+e)2 /4]×100 Joules
potential energy required to reach the height 3.2 = m×g×3.2 Joules
By conservation of energy, we have, (1/2)×m×[(1+e)2 /4]×100 = m×g×3.2 .............(1)
By solving eqn.(1) for e, we get, e = 0.584
Answered by Expert
17th September 2018,
4:19 PM
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