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How is density defined?
Density is defined as mass per unit volume.
What is the mathematical formula for density?
ρ=m/V.
What is the unit of density?
The unit of density is kg/m3kg/m^3kg/m3 (kilograms per cubic meter)
How is pressure defined?
Pressure is defined as force per unit area.
What is the mathematical formula for pressure?
.P=F/A, where P is pressure, F is force, and A is area.
What is the unit of pressure?
The unit of pressure is the Pascal (Pa), which is equivalent to N/m2N/m^2N/m2 (Newton per square meter).
What is the equation for weight in terms of mass and gravity?
W=mg, where W is weight, mmm is mass, and g is acceleration due to gravity.
How does pressure in a fluid change with depth?
Pressure in a fluid increases with depth
Why does water from the bottom hole of a container travel the farthest
It is under the greatest pressure due to the increased depth.
What are two applications of pressure in fluids?
Hydrometers: Used to measure the density of liquids.
The Bends: A condition caused by nitrogen forming gas bubbles in the blood due to rapid pressure drops.
What factors determine the difference in pressure (ΔP\Delta PΔP) between two points in a liquid?
Density of the liquid (ρ\rhoρ)
Acceleration due to gravity (ggg)
Difference in height between the points (Δh\Delta hΔh)
What is the formula for the change in pressure in a liquid?
ΔP=ρgΔh
A can of height 10 cm is submerged in water. What is the pressure difference between its top and bottom?
A: ΔP=(1000)(9.8)(0.1)=980\Delta P = (1000)(9.8)(0.1) = 980ΔP=(1000)(9.8)(0.1)=980 Pa
What is Archimedes’ Principle?
When an object is immersed in a fluid, the upthrust it experiences is equal to the weight of the displaced fluid.
Describe the demonstration of Archimedes’ Principle.
A 10 N stone is immersed in water using a Newton-meter.
The stone's weight reduces to 7 N, indicating an upthrust of 3 N.
The displaced water also weighs 3 N, confirming that upthrust equals displaced fluid weight.
What is The Law of Flotation?
The weight of a floating object is equal to the weight of the fluid it displaces.
what is boyles law?
boyles law states that at a constant temperature of the fixed volume of gas is inversely proportional to its pressure