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Neglecting atmospheric pressure find the total force due to

A rectangular dam 30 m wide supports a body of water to a height of 25 m.

(a) Neglecting atmospheric pressure, find the total force due to water pressure acting on a thin strip of the dam of height dy located at a depth y.

(b) Integrate your result in part (a) to find the total horizontal force exerted by the water on the dam.

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