A String Is Wrapped Tightly Around a Fixed Pulley That $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

question 110

Multiple Choice

A string is wrapped tightly around a fixed pulley that has a moment of inertia of $0.0352 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ 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) 4.95 m/s
• B) 1.97 m/s
• C) 2.00 m/s
• D) 3.94 m/s
• E) 2.28 m/s

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Definitions:

Payback Period

The timeframe required for an investment to generate cash flows sufficient to recover its initial cost.

AAR

Average Annual Return, which measures the average return on an investment over a multi-year period.

Multiple Rates Of Return

One potential problem in using the Internal Rate of Return method if more than one discount rate makes the Net Present Value of an investment zero.

Net Present Value

A process that evaluates how the worth of a dollar now compares to its worth in the future, factoring in both inflation and investment returns.