Question

Two smooth balls A and B each of mass m and radius R. have their centres at (0, 0, R) and at
(5R-RR) 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 collision is T 1
YA
a) (i+√3 m/s
c) (2 + 3jm/s
b) (i-√3 m/s
d) (2î +2jm/s​

Answer 1

Answer:

The answer will be i+√3j m/s

Explanation:

According to the problem the mass and the radius of both the balls are given along with that the coordinates of them are also given

The velocity of the ball A is given

As it is elastic collision therefore the initial speed has two components 4sing30degree which is tangential component and 4cos30degree which is normal component

Now as it is an elastic collision therefore the the normal components is transferred to B

Now the tangential velocity of A remains unchanged

therefore v(A) = 4 sin30(cos60i+sin60j) = i+√3j