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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

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
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)...
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### 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.
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