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

question 39

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:

Intermediate-acting Insulin

A type of insulin with a delayed onset and longer duration of action, used in diabetes management to control blood sugar levels.

Short-acting Insulin

A type of insulin that starts working shortly after injection and lasts for a few hours, used to control blood sugar levels in diabetes.

Nasogastric Suction

A medical procedure involving the insertion of a tube through the nose into the stomach to remove contents or gas.

Ventrogluteal

Referring to an area on the body used for intramuscular injections, considered safer due to fewer blood vessels and nerves.