A uniform slender rod of length and mass can rotate without friction in a horizontal…

PHYSICS · Multi-part · AP · Physics C: Mechanics · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A uniform slender rod of length 0.60 m0.60\,\text{m} and mass 1.0 kg1.0\,\text{kg} can rotate without friction in a horizontal plane about a pivot at one end. A hockey puck of mass 0.20 kg0.20\,\text{kg} slides across the ice at 3.0 m s−13.0\,\text{m\,s}^{-1} along a line perpendicular to the rod and strikes the rod’s free end, where it sticks. (a) Calculate the magnitude of the puck’s angular momentum about the pivot just before impact. (b) Determine the angular speed of the rod–puck system immediately after the collision. (c) Find the linear speed of the puck immediately after the collision as part of the rotating system. (d) Calculate the percentage of the puck’s initial kinetic energy that remains as mechanical energy of the system immediately after the collision.

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