A Bucket Weighs $5 \mathrm { lb }$ And a Rope of Negligible Weight Are Used to Draw

question 27

Multiple Choice

A bucket weighs $5 \mathrm { lb }$ and a rope of negligible weight are used to draw water from a well that is 40 $\mathrm { ft }$ deep. The bucket starts with $50 \mathrm { lb }$ of water and is pulled up at a rate of $10 \mathrm { ft } / \mathrm { s }$ , but water leaks out of a hole in the bucket at a rate of $0.5 \mathrm { lb } / \mathrm { s }$ . Find the work done in pulling the bucket to the top of the well.

• A) \(2,160 \mathrm { ft } - \mathrm { lb }\)
• B) \(2,660 \mathrm { ft } - \mathrm { lb }\)
• C) \(3,660 \mathrm { ft } - \mathrm { lb }\)
• D) \(2,260 \mathrm { ft } - \mathrm { lb }\)
• E) \(3,160 \mathrm { ft } - \mathrm { lb }\)

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Definitions:

Straight-Line Method

A method of depreciation that allocates an equal portion of an asset’s cost to each year of its useful life.

Payback Period

denotes the length of time required to recoup the cost of an investment, helping investors understand the risk and liquidity of the project.

Simple Rate of Return

A method to estimate the profitability of an investment, calculated by dividing the net annual income by the initial investment cost.

Deliver of Prescriptions

The process or service of delivering prescribed medication to patients.