A Turntable Has a Radius of 0

Multiple Choice

A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg · m².The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings.A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s.The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure) .The percent of the initial kinetic energy of the system that is lost during the capture of the ball is closest to

A) 45%.
B) 51%.
C) 55%.
D) 60%.
E) 65%.