Question

In the figure shown, the two identical balls of mass M and radius Reach, are placed in contact with each other on the friction less horizontal surface. The third ball of mass M and radius R/2, is coming down vertically and has a velocity = v₀ when it simultaneously hits the two balls and itself comes to rest.Then, each of the two bigger balls will move after collision with a speed equal to

(A) 4v₀ / √5

(B) 2v₀ / √5

(C) v₀ / √5

(D) None

Answer 1

Correct option: (C) v₀ / √5

Explanation:

Fdt cos θ = Mv ...(i)

–Fdt sin θ = 0 – Mv₀

Fdt sin θ = Mv₀ ...(2)

From equation (i) and (ii)

From ΔAOC