Okay. How about using the average pressure exerted on the wall instead?auk411 said:Homework Statement
A large aquarium of height 5.00m is filled with fresh water to a depth of 2.00m. One wall of the aquarium consists of thick plastic of 8.00m wide. By how much does the total force on that wall increase if the aquarium is next filled to a depth of 4.00m.
D= density
Homework Equations
p = P0 + Dgh
F=PA
The Attempt at a Solution
?
Not supposed to use Integration.
The relationship between depth and pressure in a liquid or gas is known as Pascal's Law. It states that the pressure exerted on a confined liquid or gas is transmitted equally in all directions, and increases with depth. This means that the deeper you go in a liquid or gas, the more pressure you will experience.
Force and pressure are directly related. Pressure is defined as the force per unit area. This means that the greater the force applied to a surface, the higher the pressure will be. Similarly, a larger surface area will result in a decrease in pressure, as the force is spread over a larger area.
The deeper an object is submerged in a fluid, the greater the buoyant force will be on that object. This is because the pressure at greater depths is higher, resulting in a greater upward force on the object. This is why objects will float more easily in deeper water compared to shallow water.
Pressure has a direct effect on the boiling point of a liquid. As pressure increases, the boiling point of a liquid also increases. This is because the increased pressure makes it more difficult for the liquid molecules to escape into the gas phase. As a result, more heat is needed to reach the boiling point.
The pressure of a gas can be increased by decreasing the volume of the container it is held in, or by increasing the number of gas molecules in the container. Conversely, the pressure can be decreased by increasing the volume of the container or by decreasing the number of gas molecules. Additionally, changes in temperature can also affect the pressure of a gas.