Bernoulli's equation allows to find the result for the change of the kinetic energy of the fluid in the pipe is:
- Kinetic energy change is: ΔK = 3.98 J
Fluid mechanics studies the movement of liquid and gases through pipes, for this it uses the Bernoulli's equation, which is the work and energy relationship for fluids.
P₂ + ½ ρ v₂² + ρ g y₂ = P₁ + ½ ρ v₁² + ρ g y₁
Where the subscripts 1 and 2 are the two points of interest, P is the pressure, ρ the density, v the velocity and y the height.
The expression of kinetic energy in fluids is:
K = ½ ρ v²
Let's substitute
K₂ - K₁ = P₁-P₂ + ρ g (y₁-y₂)
ΔK = P₁-P₂ + rho g (y₁-y₂)
Indicates the density of the fluid is 4 10⁻³ km / m³, there is a height difference of Δy = 100 m and the pressure of 0.08 Pa and 0.02 Pa.
ΔK = (0.08 -0.02) + 4 10⁻³ 9.8 100
ΔK = 0.06 + 3.92 ΔK = 3.98 J
In conclusion using Bernoulli's equation we can find the result for the change in the kinetic energy of the fluid in the pipe is:
ΔK = 3.98 J
Learn more here: brainly.com/question/9506577
