Answer: The magnitude of the force exerted on the roof is 490522.5 N.
Explanation:
The given data is as follows.
Below the roof,
= 0 m/s
At top of the roof,
= 39 m/s
We assume that
is the pressure at lower surface of the roof and
be the pressure at upper surface of the roof.
Now, according to Bernoulli's theorem,


= ![0.5 \times 1.29 \times [(39)^{2} - (0)^{2}]](https://tex.z-dn.net/?f=0.5%20%5Ctimes%201.29%20%5Ctimes%20%5B%2839%29%5E%7B2%7D%20-%20%280%29%5E%7B2%7D%5D)
= 
= 981.045 Pa
Formula for net upward force of air exerted on the roof is as follows.
F = 
= 
= 490522.5 N
Therefore, we can conclude that the magnitude of the force exerted on the roof is 490522.5 N.
Kepler's third law is founded on a mathematical formula that is based on
the inverse relationship between a planet's orbital velocity and its distance
from the sun.
D is definitely the correct choice here.
I think a case could also be made for choice-B, but that would be a tough, complex operation.