A stick of length \" l \" lies on a frictionless horizontal table. It has a mass

Question

A stick of length " l " lies on a frictionless horizontal table. It has a mass "M" and is free to move any way

on the table. A hocky puck "m" moving as shown in the figure below with speed v, collides elastically

with the stick.

The puck hits the stick at distance "d" below the center at speed v

1) What quantities are conserved in the collision of the stick and puck?

2) What is the mass m of the puck so that it remains at rest immediately after the collision?

Please explain how you arrive at your answer.

Explanation / Answer

1). linear momentum, kinetic energy of the system, angular momentum 2). from angular momentum conservation; m*v*d = Ml^2/12 *v'/d from K.E. conservation; 0.5 mv^2 = 0.5 Mv'^2 from the above two equations m = Ml^4/144*d^4

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