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A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall building by a rope with density 0.2 kg/m. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s² for gravity.

A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall building by a rope with density 0.2 kg/m. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s² for gravity.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 51AR
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A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall building by a rope with density 0.2 kg/m. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s² for gravity.
Transcribed Image Text:A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall building by a rope with density 0.2 kg/m. However, the bucket has a hole in it, and leaks 0.2 kgs of sand each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s² for gravity.
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