A String Is Wrapped Tightly Around a Fixed Pulley That

question 56

Multiple Choice

A string is wrapped tightly around a fixed pulley that has a moment of inertia of 0.0352 kg ∙ m² and a radius of 12.5 cm.A mass of 423 g is attached to the free end of the string.With the string vertical and taut,the mass is gently released so it can descend under the influence of gravity.As the mass descends,the string unwinds and causes the pulley to rotate,but does not slip on the pulley.What is the speed of the mass after it has fallen through 1.25 m?

• A)2.00 m/s
• B)2.28 m/s
• C)1.97 m/s
• D)3.94 m/s
• E)4.95 m/s

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Definitions:

Acid-Test Ratio

A financial metric used to determine a company's short-term liquidity, calculating its ability to pay off short-term obligations without selling inventory.

Accounts Receivable Turnover

A financial metric that measures how effectively a company collects its receivables, calculated as net credit sales divided by the average accounts receivable.

Working Capital

A measure of a company's liquidity, operational efficiency, and short-term financial health, calculated as current assets minus current liabilities.

Current Ratio

A financial indicator used to assess whether a company can handle its obligations in the short term, calculated by the ratio of current assets to current liabilities.