As shown in the figure below, a particle of mass m and speed v collides with and sticks to the edge of a uniform solid disk of mass M = 4m and radius R. The disk is initially at rest, but is free to rotate about a fixed frictionless axle through its center with a moment of inertia given by I = MR. Find an expression for the total kinetic energy of the disk-particle system just after the collision. m M