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A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be lifted to the

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A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be lifted to the top of a 30 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. Joules

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