A swimming pool has dimensions $30.0 m \times 10.0 m$ and a flat bottom. When the pool is filled to a depth of $20.0 m$ with fresh water, what is the force exerted by the water on (a) the bottom? (b) On each end? (c) On each side?

Question

A swimming pool has dimensions $30.0 m \times 10.0 m$ and a flat bottom. When the pool is filled to a depth of $20.0 m$ with fresh water, what is the force exerted by the water on (a) the bottom? (b) On each end? (c) On each side?

Accepted Answer

(a) The force exerted by the water on the bottom is $F_{b} = 5.88 \times 10^{6} N (d o w n)$ .

(b) The force exerted by the water on each end is $F = 196 k N (o u t w a r d)$ .

(c) The force exerted by the water on each side is $F = 588 k N (o u t w a r d)$ .

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Short Answer

A swimming pool has dimensions $30.0 m \times 10.0 m$ and a flat bottom. When the pool is filled to a depth of $20.0 m$ with fresh water, what is the force exerted by the water on (a) the bottom? (b) On each end? (c) On each side?

Step by Step Solution

Step 1: Pressure:

Step 2: (a) The force exerted by the water on the bottom:

Step 3: (b) The force exerted by the water on each end:

Step 4: (c) The force exerted by the water on each side:

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Physics For Scientists & Engineers

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Short Answer

A swimming pool has dimensions 30.0 m×10.0 m and a flat bottom. When the pool is filled to a depth of 20.0 m with fresh water, what is the force exerted by the water on (a) the bottom? (b) On each end? (c) On each side?

Step by Step Solution

Step 1: Pressure:

Step 2: (a) The force exerted by the water on the bottom:

Step 3: (b) The force exerted by the water on each end:

Step 4: (c) The force exerted by the water on each side:

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A swimming pool has dimensions $30.0 m \times 10.0 m$ and a flat bottom. When the pool is filled to a depth of $20.0 m$ with fresh water, what is the force exerted by the water on (a) the bottom? (b) On each end? (c) On each side?