A turntable has a radius of R = 1.0 m and a moment of inertia of 2.4 kg. m. The turntable is rotating with an angular velocity of w = 1.5 rad/s about a vertical axis though its center on frictionless bearings. A small ball with mass m = 0.60 kg is projected horizontally toward the turntable axis with a velocity of 4.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure). Find the percent of the kinetic energy of the system that is lost during the capture of the ball. R V m