A Turntable Has a Radius of 0

question 97

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:

Good

A tangible item or product that fulfills a need or desire and is available for purchase.

Price Ceiling

A price ceiling is a government-imposed limit on how high a price can be charged on a product or service, intended to protect consumers from high prices.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, resulting in market stability.

Shortage

A shortage occurs when the demand for a product exceeds its supply at a particular price, leading to a scarcity of the product.