Home Physics Center of Mass Collision A solid iron ball A of radius r collides hea…
Physics Center of Mass Collision MCQ (Single Correct)

A solid iron ball A of radius r collides head on with another stationary solid iron ball B of radius 2r. The ratio of their speeds just after the collision (e = 0.5) is :

A
3
B
4
C
2
D
1

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Text Solution

Verified by Experts
The correct answer is:
C

M A = ρ × π r 3 e =

M B = ρ × π (2r) 3 = 8M A

m A v + 0 = m A v 1 + m B v 2 .........(i)

ev = v 2 – v 1 .........(ii)

Adding (i) + (ii)

= 9v 2 = v + =

∴ v 1 = v 2 – = = – = = 2.

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