Momentum and CollisionMedium
Question
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 :
Options
A.3
B.4
C.2
D.1
Solution
MA = ρ ×
πr3 e = 
MB = ρ ×
π (2r)3 = 8MA
mA v + 0 = mAv1 + mBv2 .........(i)
ev = v2 − v1 .........(ii)
Adding (i) + (ii) = 9v2 = v +
∴ v1 = v2 −
∴
= 2.
MB = ρ ×
mA v + 0 = mAv1 + mBv2 .........(i)
ev = v2 − v1 .........(ii)
Adding (i) + (ii) = 9v2 = v +
∴ v1 = v2 −
∴
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