### Understanding Pressure in a Sealed Cylinder Filled with Water#### Concept Explanation:When a sealed cylinder is completely filled with water and you apply pressure to the lid, it is essential to understand how this pressure affects the water pressure at different points within the cylinder.#### Question and Answer:The following example helps illustrate this concept:**Question:**"A cylinder is completely filled with water. The top of the cylinder is sealed with a tight-fitting lid. If you push down on the lid with a pressure of 1000 Pa, the water pressure at the bottom of the cylinder: - increases by 1000 Pa - increases by an amount determined by the height of the cylinder- increases by more than 1000 Pa- increases by less than 1000 Pa"The correct answer is:- **increases by 1000 Pa**#### Detailed Explanation:In fluid mechanics, Pascal’s principle states that any change in pressure applied to a confined fluid is transmitted undiminished throughout the fluid. Therefore, if an external pressure of 1000 Pa is applied to the lid of a cylinder filled with water, it would cause the pressure at every point within the cylinder, including the bottom, to increase by 1000 Pa.#### Visualization:Although no graph or diagram is provided, visualizing this principle can be helpful. Consider a vertical cylinder filled with water, and imagine pushing down on the lid with a certain force. Following Pascal’s principle, this force will be distributed evenly through the liquid medium.Such principles are foundational in understanding how pressure works in fluids and have applications in various fields such as hydraulics and engineering.### Key Takeaways:- **Pascal’s Principle:** Applied pressure to a confined fluid is transmitted equally throughout the fluid.- **Practical Impact:** Adding 1000 Pa pressure onto the lid increases the pressure at the bottom by exactly 1000 Pa, irrespective of the container's shape or height.This concept is crucial for understanding fluid dynamics and the behavior of liquids under pressure in closed systems.

Name: ### Understanding Pressure in a Sealed Cylinder Filled with Water####
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: ### Understanding Pressure in a Sealed Cylinder Filled with Water#### Concept Explanation:When a sealed cylinder is completely filled with water and you apply pressure to the lid, it is essential to understand how this pressure affects the water pre