Conservation of Angular Momentum: a Turntable Has a Radius of 0.80

question 55

Multiple Choice

Conservation of angular momentum: 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%.

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