2. O/N 15/P12/Q14
Two identical spheres X and Y approach each other with the speeds shown and undergo a headon elastic
collision
4ms-
2 ms-
x
Y
What are the velocities of the spheres after the collision?
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Explanation:
Let the positive direction be toward the right,
In perfect elastic collision, the momentum and kinetic energy are conserved.
Relative speed of approach = relative speed of separation.......(I)
Approach means getting closer to each other
Separation means getting away from each other
Relative speed of approach = 5+15=20 m/s
Suppose that the velocity of X is positive, the value of v would be negative and negative indicate the direction of X is in after the collision.
Relative speed of separation = 7-v
From equation (I)
20=7−v
−v=13 m/s
So, The speed of ball X is 13 m/s to the left after collision.
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