Momentum and CollisionHard

Question

Two smooth balls A and B, each of mass and radius R, have center 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.

Options

A.(î + √3ĵ) m/s
B.(î - √3ĵ) m/s
C.(2î + √3ĵ) m/s
D.(2î + 2ĵ) m/s

Solution

                     
vA = 4 sin 30o [cos 60î + sin 60ĵ] = î + √3 ĵ

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