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) \(3,160 \mathrm { ft } - \mathrm { lb }\)