What is the benefit of theories? they are easily disproven they are written by famous people they were applying every circumstan
1 answer:
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Answer:
Explanation:
First we should recall how Newton's laws relates shear stress to a fluid's velocity profile:
where tau is the shear stress, mu is viscosity, v is the fluid's velocity and y is the direction perpendicular to flow.
Now, in this case we have a parabolic velocity profile, and also we know that the fluid's velocity is zero at the boundary (no-slip condition) and that the vertex (maximum) is at and the velocity at that point is
We can put that in mathematical terms as:
From the no-slip condition, we can deduce that and so we are left with just two terms:
We know that the vertex is at and so we can rewrite the last equation as:
where k and h are constants to be determined. First we check that :
So we found that h was the maximum velocity for the fluid, now we have to determine k, for that we need to make use of the no-slip condition.
And thus we find that the final expression for the fluid's velocity is:
where v is in mm/s and y is in mm.
In SI units it would be:
To calculate the shear stress, we need to take the derivative of this expression and multiply by the fluid's viscosity:
for we have:
Which is our final result
Answer:
The force between the charges when the separation decreases to 0.7 meters equals 126.955 Newtons
Explanation:
We know that for two point charges of magnitude the magnitude of force between them is given by
where
is constant
is the separation between the charges
Initially when the charges are separated by 2.4 meters the force can be calculated as
Now when the separation is reduced to 0.7 meters the force is similarly calculated as
Applying value of the constant we get
Thus