A. The ragion was colonized by European powers
1 answer:
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Answer:
the percent increase in the velocity of air is 25.65%
Explanation:
Hello!
The first thing we must consider to solve this problem is the continuity equation that states that the amount of mass flow that enters a system is the same as what should come out.
m1=m2
Now remember that mass flow is given by the product of density, cross-sectional area and velocity
(α1)(V1)(A1)=(α2)(V2)(A2)
where
α=density
V=velocity
A=area
Now we can assume that the input and output areas are equal
(α1)(V1)=(α2)(V2)
Now we can use the equation that defines the percentage of increase, in this case for speed
Now we use the equation obtained in the previous step, and replace values
the percent increase in the velocity of air is 25.65%
Answer:
Explanation:
Notation
In order to do the dimensional analysis we need to take in count that we need to conditions:
a) The energy A is released in a small place
b) The shock follows a spherical pattern
We can assume that the size of the explosion r is a function of the time t, and depends of A (energy), the time (t) and the density of the air is constant .
And now we can solve the dimensional problem. We assume that L is for the distance T for the time and M for the mass.
[r]=L with r representing the radius
[A]= A represent the energy and is defined as the mass times the velocity square, and the velocity is defined as
[t]=T represent the time
represent the density.
Solution to the problem
And if we analyze the function for r we got this:
And if we replpace the formulas for each on we got:
And using algebra properties we can express this like that:
And on this case we can use the exponents to solve the values of x, y and z. We have the following system.
We can solve for x like this x=-y and replacing into quation 2 we got:
And then we can solve for x and we got:
And if we solve for z we got:
And now we can express the radius in terms of the dimensional analysis like this:
And K represent a constant in order to make the porportional relation and equality.
The problem says that we can assume the constant K=1.
And if we solve for the energy we got:
And now we can replace the values given. On this case t =0.025 s, the radius r =140 m, and the density is a constant assumed , and replacing we got:
And we can convert this into ergs we got:
And then we know that 1 g of TNT have
And we got: