A puck (uniform disk) of mass m and radius r is travelingat a speed v on frictionless ice. It strikes a second identical puck a glancing blow (at point P) and sticks to it (using

Question

VelcroTM). After the collision, the two-puck-object rotates with angular velocity ω about its center of mass, and its center of mass moves with speed V . In parts (a) to (d),express your answers in terms of m, r, and/or v.

a) Before the collision, what is the angular momentum of the system about point P?

b) Using the parallel axis theorem, determine the moment of inertia of the two-puck-object about its center of mass.

c) Using conservation of total angular momentum, determine the angular velocity, ω.

d) Using conservation of total linear momentum, determine the speed, V .

e) What is the change in kinetic energy of the system? Express your answer as a numerical fraction of the original kinetic energy in the system.