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TFM

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**[SOLVED] Force on the sides of a swimming pool, differeniation**

## Homework Statement

A swimming pool measures a length of 5.7m , width 3.8m , and depth 2.9m. Compute the force exerted by the water against either end. Do not include the force due to air pressure.

I have already calculated the force on the bottom as 6.2*10^5N

Hint: Calculate the force on a thin, horizontal strip at a depth , and integrate this over the end of the pool.

## Homework Equations

f = pgya

## The Attempt at a Solution

pretend the swimming pool is on its end, using formula

f = intergration,/' pg

*dy*a

from 0 to 5.7

getting F = 1/2 pg(y^2)a

But this doesn't seem to work?

Any help/suggestions/ideas

TFM

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