40 m 20 m A river is blocked by a dam with the shape of an trapezoid. The dam is 20 m tall, 20 m at its base and 40 m on top. What is the total force acting on the dam if the water reaches the full height of the dam? 20 m Enter your answer in scientific notation to at least 2 significant figures. kg m m³ 82 Use p = 1000- and g = F = = 9.8- N
40 m 20 m A river is blocked by a dam with the shape of an trapezoid. The dam is 20 m tall, 20 m at its base and 40 m on top. What is the total force acting on the dam if the water reaches the full height of the dam? 20 m Enter your answer in scientific notation to at least 2 significant figures. kg m m³ 82 Use p = 1000- and g = F = = 9.8- N
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![### Problem Statement
A river is blocked by a dam with the shape of a trapezoid. The dam is 20 m tall, 20 m at its base and 40 m on top. What is the total force acting on the dam if the water reaches the full height of the dam?
### Instructions
Enter your answer in scientific notation to at least 2 significant figures.
Use:
\[ \rho = 1000 \, \frac{kg}{m^3} \]
\[ g = 9.8 \, \frac{m}{s^2} \]
\[ F = \]
\[\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, N \]
### Diagram Explanation
The diagram represents the side view of a trapezoidal dam. The trapezoid has the following dimensions:
- The height (vertical side) of the dam is 20 meters.
- The bottom base of the trapezoid is 20 meters.
- The top base of the trapezoid is 40 meters.
These dimensions indicate that the dam has a wider top compared to the bottom. This shape helps to manage the water pressure distribution along the height of the dam. The objective is to calculate the total force exerted by the water against the dam when it reaches the maximum height of 20 meters.
Please perform the calculations and enter your answer in the provided space in scientific notation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2386874c-e724-4957-85a1-36ae7eec2eac%2F3405bcdd-ae55-497c-b15d-ef65ebc1d8d7%2Ff6ojja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A river is blocked by a dam with the shape of a trapezoid. The dam is 20 m tall, 20 m at its base and 40 m on top. What is the total force acting on the dam if the water reaches the full height of the dam?
### Instructions
Enter your answer in scientific notation to at least 2 significant figures.
Use:
\[ \rho = 1000 \, \frac{kg}{m^3} \]
\[ g = 9.8 \, \frac{m}{s^2} \]
\[ F = \]
\[\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \, N \]
### Diagram Explanation
The diagram represents the side view of a trapezoidal dam. The trapezoid has the following dimensions:
- The height (vertical side) of the dam is 20 meters.
- The bottom base of the trapezoid is 20 meters.
- The top base of the trapezoid is 40 meters.
These dimensions indicate that the dam has a wider top compared to the bottom. This shape helps to manage the water pressure distribution along the height of the dam. The objective is to calculate the total force exerted by the water against the dam when it reaches the maximum height of 20 meters.
Please perform the calculations and enter your answer in the provided space in scientific notation.
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