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A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air at 29.5°C and 1.00 atm shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 29.5°C as shown in figure (c). What is the value Ah?

A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air at 29.5°C and 1.00 atm shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 29.5°C as shown in figure (c). What is the value Ah?

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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**Directions:** Solve the following problems. Use \( g = 9.80 \, \text{m/s}^2 \) and assume all numbers are accurate to 3 significant figures unless otherwise indicated. 1. A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air at 29.5°C and 1.00 atm as shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height \( h_i \) as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 29.5°C as shown in figure (c). What is the value \( \Delta h \)? **Diagrams:** - **Figure (a):** Illustrates an open cylinder with a depth of 50.0 cm filled with air. - **Figure (b):** Shows a piston inserted into the cylinder compressing the air to equilibrium height \( h_i \). - **Figure (c):** Displays the piston with a dog standing on it, further compressing the air, which is denoted by a decrease in height \( \Delta h \). The problem involves calculating the change in height \( \Delta h \) due to the added weight of the dog.
Transcribed Image Text:**Directions:** Solve the following problems. Use \( g = 9.80 \, \text{m/s}^2 \) and assume all numbers are accurate to 3 significant figures unless otherwise indicated. 1. A cylinder that has a 41.0-cm radius and is 50.0 cm deep is filled with air at 29.5°C and 1.00 atm as shown in figure (a). A 21.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height \( h_i \) as shown in figure (b). Finally, a 21.5-kg dog stands on the piston, further compressing the air, which remains at 29.5°C as shown in figure (c). What is the value \( \Delta h \)? **Diagrams:** - **Figure (a):** Illustrates an open cylinder with a depth of 50.0 cm filled with air. - **Figure (b):** Shows a piston inserted into the cylinder compressing the air to equilibrium height \( h_i \). - **Figure (c):** Displays the piston with a dog standing on it, further compressing the air, which is denoted by a decrease in height \( \Delta h \). The problem involves calculating the change in height \( \Delta h \) due to the added weight of the dog.
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