A Turntable Has a Radius of 0

question 70

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%.

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Definitions:

Subconscious Processing

Mental processes occurring without conscious awareness, influencing perceptions, thoughts, and behaviors.

Multitask

The ability to perform more than one task or activity over a short period, often by switching focus from one task to another.

Prototype

An original model or first form of something from which other forms are copied or developed, often used in the context of design and innovation.

Heuristic

A problem-solving strategy using a practical method or various shortcuts to produce solutions that may not be optimal but are sufficient for reaching immediate goals.