Center of MassHard

Question

A particle of mass m strikes elastically with a disc of radius R, with a velocity as shown in the figure. If the mass of the disc is equal to that of the particle and the surface of the contact is smooth, then the velocity of the disc just after the collision is :
                           

Options

A.2v/3
B.v/2
C.√3v/2
D.v

Solution

sin θ =     ;      θ = 30o

Both have equal mass it means along LOI particle transfer it velocity to disc which is vcos θ.
so VD = Vcos θ = Vcos 30º =

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