Bernoulli's equation is an expression of:
the conservation of mass
the conservation of total energy
the conservation of kinetic energy
the conservation of momentum
the conservation of velocity
My ans:
the equation states that it should be a constant when there is a streamline flow so I am guessing that it describes the conservation of total energy, in fluids?
Yes, the units of the Bernoulli equation is energy density (Joules/m^3)
You might work them out to prove that.
Using conservation of energy, find the speed vb of the block at the bottom of the ramp
What is always true according to the Law of Conservation of Matter? (1 point)
You're on the right track! Bernoulli's equation is indeed an expression of the conservation of total energy in fluid flow.
To understand Bernoulli's equation, we need to consider a streamline flow of an incompressible fluid (such as liquids or gases with low compressibility) with no external forces acting on it (like friction or change in elevation).
Bernoulli's equation states that the total energy per unit volume of the fluid remains constant along a streamline. This energy consists of three components: pressure energy (due to fluid pressure), kinetic energy (due to fluid velocity), and potential energy (due to fluid elevation).
So, when there is a streamline flow with no external forces acting on it, the sum of the pressure energy, kinetic energy, and potential energy at any point in the flow is constant.
Thus, Bernoulli's equation is an expression of the conservation of total energy, as it describes how the different forms of energy in a fluid flow are distributed and transformed along the streamline.
It's important to note that Bernoulli's equation does not account for changes in fluid density, compressibility, or losses due to friction or other factors. It is an idealized equation that holds true only under specific conditions.