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Two smooth balls A and B, each of mass m...

Two smooth balls A and B, each of mass m and radius R, have their centre at (0,0,R) and (5R,-R,R) respectively, in a coordinate system as shown. Ball A, moving along positive x-axis, collides with ball B. Just before the collision, speed of ball A is 4m/s and ball B is stationary. The collision between the balls is elastic. Velocity of the ball A just after the collsion is

A

`(hati+sqrt3hatj)m//s`

B

`(hati-sqrt3hatj)m//s`

C

`(2hat(i) + sqrt3hat(j)) m//s`

D

`(2hati+2hatj)m//s`

Text Solution

Verified by Experts

The correct Answer is:
(A)

`v_(A) = 4 sin 30^(@)[cos60hat(i) + sin 60hat(j)] = hat(i) + sqrt3hat(j)`
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