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

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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.

(c) Why is it reasonable to neglect atmospheric pressure?

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