High School

We appreciate your visit to What is the force exerted by water on a rectangular dam that is 103 ft long 51 ft high and has water 40 ft deep. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the force exerted by water on a rectangular dam that is 103 ft long, 51 ft high, and has water 40 ft deep? (Density of water is 62.4 lb/ft³.)

A. 2,588,320 lb
B. 1,544,320 lb
C. 3,076,800 lb
D. 4,011,120 lb

Answer :

Final answer:

The force exerted by water on the dam can be found using the formula F = pgh²L/2, and with the provided dimensions and water density,

So, the correct answer is:

a. 2,588,320 lb

Explanation:

The student has asked about the force exerted by water on a rectangular dam. To calculate this force, we use the formula F = pgh²L/2, where p is the density of water, g is gravitational acceleration, h is the depth of the water at the dam, and L is the length of the dam.

Given that the water is 40 ft deep, the dam is 103 ft long, and the density of water is 62.4 lb/ft³, we substitute these values into the formula to get F = (62.4 lb/ft³)(32.2 ft/s²)(40 ft)²(103 ft)/2, which calculates to 1,544,320 lb. This results in option b being the correct answer.

To calculate the force exerted by water on a rectangular dam, we can use the formula F = pgh²L/2, where p is the density of water, h is the depth at the dam, and L is the length of the dam. In this case, the density of water is given as 62.4 lb/ft³.

The depth at the dam is 40 ft, and the length of the dam is 103 ft. Plugging in these values, we get F = (62.4 lb/ft³)(40 ft)(40 ft)(103 ft)/2 = 2,588,320 lb. Therefore, the force exerted by the water on the dam is 2,588,320 lb, which corresponds to option a.

Thanks for taking the time to read What is the force exerted by water on a rectangular dam that is 103 ft long 51 ft high and has water 40 ft deep. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada