5.A bucket begins holding 20 kgs of sand. The bucket is to be lifted to the top

Question

5.A bucket begins holding 20 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall building by a rope of negligible weight. 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 to the top of the building.

6.A bucket begins holding 20 kgs of sand. The bucket is to be lifted to the top of a 30 meter tall building by a rope with density 0.1 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.

Explanation / Answer

1-

The work is given by

W = 1/2 K x

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