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The pressure on one side of a metal plate submerged horizontally in water varies directly as the depth of the water. If a plate 10 ft. below the surface has a total pressure of 625 lbs. on one face, how much pressure will then be on that same plate 25 ft. below the surface?

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sqdancefan

Answer:

  1562.5 lbs

Step-by-step explanation:

You want to know the pressure on one side of a plate at a depth of 25 ft if pressure is proportional to depth, and it is 625 lbs at a depth of 10 ft.

Proportion

The pressure being proportional to depth means the ratio of pressure to depth is a constant:

  p/(25 ft) = (625 lbs)/(10 ft)

  p = (625 lbs)(25 ft)/(10 ft) = 1562.5 lbs

The pressure on the plate 25 ft below the surface will be 1562.5 lbs.

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