A Turntable Has a Radius of 0

question 87

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) . What is the angular velocity of the turntable just after the ball is caught?

• A) 2.1 rad/s
• B) 1.3 rad/s
• C) 0.94 rad/s
• D) 0.75 rad/s
• E) 0.30 rad/s

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Definitions:

Nuts

Hard-shelled edible seeds of certain plants, often rich in oil and nutrients.

Berries

Small, juicy fruits with a high vitamin content, often edible and ranging in flavor from sweet to tart, used in various culinary applications.

Utility Function

A mathematical representation that ranks preferences or satisfaction levels consumers derive from consuming goods and services.

Nuts

Edible seeds enclosed in a hard shell, often characterized by their high fat and protein content.