You are planning on installing a new above-ground swimming pool in your backyard. The pool will be rectangular with dimensions 31.0 mx 10.0 m. It will be filled with fresh water to a depth of 1.90 m. In order to provide the appropriate structural support, you wish to determine the following. (a) Determine the force exerted on the bottom of the pool by the water (in N). 5.77e06 N (b) Determine the force exerted on each end of the pool by the water (in N). (Assume the end is the 10.0 m wall.) 3.54e05 x N (c) Determine the force exerted on each side of the pool by the water (in N). (Assume the side is the 31.0 m wall.) 1.10e06 XN

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question

do the wrong ones

### Installing a New Above-Ground Swimming Pool

You are planning to install a new above-ground swimming pool in your backyard. The pool will be rectangular with dimensions 31.0 m x 10.0 m and filled with fresh water to a depth of 1.90 m. To provide the appropriate structural support, you need to determine the following forces:

#### (a) Force on the Bottom of the Pool
- **Calculation:** Determine the force exerted on the bottom of the pool by the water.
- **Result:** 5.77 x 10^6 N ✔️

#### (b) Force on Each End of the Pool
- **Calculation:** Determine the force exerted on each 10.0 m end of the pool by the water.
- **Result:** 3.54 x 10^5 N ❌

#### (c) Force on Each Side of the Pool
- **Calculation:** Determine the force exerted on each 31.0 m side of the pool by the water.
- **Result:** 1.10 x 10^6 N

#### (d) Impact of Swimming Parties
You wish to host swimming parties, potentially with 29 people averaging 75.0 kg each in the pool. Determine whether these parties would affect the structural requirements.

- **Conclusion:** 
  - **Parties will not affect** required strength since the forces on the surfaces will increase by less than 1%. ✔️
  - Parties will affect required strength since the forces on the surfaces will increase by more than 1%.

This analysis ensures the pool’s structural integrity under typical usage conditions.
Transcribed Image Text:### Installing a New Above-Ground Swimming Pool You are planning to install a new above-ground swimming pool in your backyard. The pool will be rectangular with dimensions 31.0 m x 10.0 m and filled with fresh water to a depth of 1.90 m. To provide the appropriate structural support, you need to determine the following forces: #### (a) Force on the Bottom of the Pool - **Calculation:** Determine the force exerted on the bottom of the pool by the water. - **Result:** 5.77 x 10^6 N ✔️ #### (b) Force on Each End of the Pool - **Calculation:** Determine the force exerted on each 10.0 m end of the pool by the water. - **Result:** 3.54 x 10^5 N ❌ #### (c) Force on Each Side of the Pool - **Calculation:** Determine the force exerted on each 31.0 m side of the pool by the water. - **Result:** 1.10 x 10^6 N #### (d) Impact of Swimming Parties You wish to host swimming parties, potentially with 29 people averaging 75.0 kg each in the pool. Determine whether these parties would affect the structural requirements. - **Conclusion:** - **Parties will not affect** required strength since the forces on the surfaces will increase by less than 1%. ✔️ - Parties will affect required strength since the forces on the surfaces will increase by more than 1%. This analysis ensures the pool’s structural integrity under typical usage conditions.
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Fluid Pressure
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON