Physics Homework Help?

Question

Dimensions of a swimming pool are 28.0 m by 9.5 m and its uniform depth is 2.9 m . The atmospheric pressure is 1.013×105N/m2.

Part A

Determine the absolute pressure on the bottom of the swimming pool.

Part B

Calculate the total force on the bottom of the swimming pool.

Answer 1

(A)

The dimensions of the swimming pool are and the uniform depth is .

The atmospheric pressure is .

Density of water is .

Increase in pressure at depth pressure .

Substitute , and .

.

Absolute pressure at bottom of pool is .

Substitute and .

.

The absolute pressure on the bottom of the swimming pool is .

Answer 2

(B)

Find the total force on the bottom of the swimming pool.

From part (A): The absolute pressure on the bottom of the swimming pool is .

The downward force is .

Substitute and .

.

The total force on the bottom of the swimming pool is .