Consider the following situation: Two billiard balls, a blue and a red one, of e

Question

Consider the following situation: Two billiard balls, a blue and a red one, of equal mass move towards each other. The blue ball moves in the +y direction with a speed of 2.0 m/s. The red ball moves in the +x direction with a speed of 3.7 m/s. After the perfectly elastic collision the red ball is moving in the +y direction with a speed v_R. Find all of the following, the order you find them does not matter: The final direction of the blue ball, The final speed of the red ball. The final speed of the blue ball.

Explanation / Answer

Since the mass of the ball is same and collision is elasetic therefore
u1 = v2
u2 = v1
where u1 and u2 is the initial velocity of blue and red ball respectively
v1 and v2 is the final velocity of blue and red balls
(a) Final direction of the blue ball is +X direction
(b) Final speed of red ball is 2 m/s
(c) Final speed of the blue ball is 3.7 m/s

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