A ball A collides elastically with another identical ball B with a velocity of 10 ms-1 making an angle of 30° with the line joining their centres C1 and C2. Select the correct statement(s).
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a
Velocity of ball A after collision is 5 ms-1
b
Velocity of ball B after collision is 53ms−1
c
Kinetic energy will not be conserved here, because collision is not head on.
d
Both the balls move at right angles after collision.
answer is A.
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Detailed Solution
Velocity components in common tangent direction will remain unchanged while velocity components in common normal direction are interchanged in case of an elastic collision. Hence, both A and B move at right angles after collision with vA=5ms−1 and vB=53ms−1. Kinetic energy is conserved in an elastic collision, whether it is a head on or an oblique collision.