A 385-G Tile Hangs from One End of a String $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

question 3

Multiple Choice

A 385-g tile hangs from one end of a string that goes over a pulley with a moment of inertia of $0.0125 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ and a radius of 15.0 cm. A mass of 710 g hangs from the other end of the string. When the tiles are released, the larger one accelerates downward while the lighter one accelerates upward. The pulley has no friction in its axle and turns without the string slipping. What is the tension in the string on the side of the 710-g tile?

• A)9.77 N
• B)6.87 N
• C)5.59 N
• D)4.41 N
• E)3.68 N

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Definitions:

Differential Costs

The difference in total cost that will result from selecting one choice over another.

Sunk Costs

Sunk costs refer to money already spent and permanently lost, which cannot be recovered and should not influence future financial decisions.

Opportunity Costs

A rephrased definition: The potential gains or benefits that are lost when choosing one alternative over another in decision-making.

Gross Margin

The difference between sales revenue and the cost of goods sold, expressed as a percentage of sales revenue.