Ball A is at rest somewhere on a smooth billiards table ( b ℓ = 3 ) . An identical ball B moving with velocity 2 ms − 1 , collides with a elastically. After 4 1 sec both the balls simultaneously f

Question

Ball A is at rest somewhere on a smooth billiards table $(\frac{ℓ}{b} = 3)$ . An identical ball B moving with velocity $2 ms^{- 1}$ , collides with a elastically. After $\frac{1}{4} sec$ both the balls simultaneously fall into pockets marked 1 and 2 . If area of the table in $m^{2}$ is P/Q where P and Q are lowest possible integers then write P + Q as your answers?

TestHub · Accepted Answer

V A 2 ​ t 2 + V B 2 ​ t 2 = b 2 when identical balls collide obliquely and collision is elastic and one of them at rest, they move mutually perpendicular to each other after collision From energy conservation 2 1 ​ m u 2 = 2 1 ​ m v A 2 ​ + 2 1 ​ m v B 2 ​ b 2 = u 2 t 2 = 1 b = 1 m ℓ = 3 m Area = b ℓ = 3 m 2

Physics - Center of Mass Question with Solution | TestHub

Doubts & Discussion

JEE Advanced (2028)