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%.
Correct Answer:
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