Center of MassHard

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.

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