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If you do 110 J of work to elevate a bucket of water, what is its gravitational potential energy relative to its starting position

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When a body is raised by a height h, it requires work to be done. This is equal to m*g*h, where m is the mass of the body, g is the acceleration due to the gravitational force of attraction and h is the height it is raised by.

If 110 J of work is done in raising the bucket of water from its starting position, the work done is stored as gravitational potential energy of the bucket. Its height increases by 110/m*g.

According to the law of conservation of energy, the total energy in a system remains the same. When you do work on the bucket of water equal to 110 J, the increase in the gravitational potential energy of the bucket is also 110 J.

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