A Turntable Has a Radius of 0

question 43

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:

Taxable Income

The portion of individual or corporate income subject to taxation, after all deductions and exemptions.

Retained Earnings

The portion of net income that is not distributed to shareholders but instead reinvested in the business or used to pay off debt.

Fixed Assets

Fixed Assets are long-term tangible property that a firm owns and uses in its operations to generate income, such as machinery, buildings, and equipment.

Depreciation Expense

The allocation of the cost of a tangible asset over its useful life, reflecting the decrease in value due to wear and tear, decay, or obsolescence.