Answer:
A) T.
Explanation:
Kepler's third law states that the orbital period (T) of a satellite is related with the radius (R) and the mass of the object (M) it orbits:
So the orbital period is independent of the mass of the satellite, that means no matter the mass every satellite at a radius R around the earth have an orbital period A.
Answer:
![B = 7.9012*10^{-5}T](https://tex.z-dn.net/?f=B%20%3D%207.9012%2A10%5E%7B-5%7DT)
Explanation:
To solve the problem, the concepts related to the magnetic field and the current produced in a lightning bolt are necessary.
The current is defined by the load due to time, that is to say
![I= \frac{q}{t}](https://tex.z-dn.net/?f=I%3D%20%5Cfrac%7Bq%7D%7Bt%7D)
Where,
![q= Charge](https://tex.z-dn.net/?f=q%3D%20Charge)
![t = time](https://tex.z-dn.net/?f=t%20%3D%20time)
So the current can be expressed as:
![I = \frac{16}{1.5*10^{-3}}](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B16%7D%7B1.5%2A10%5E%7B-3%7D%7D)
![I = 10666.67A](https://tex.z-dn.net/?f=I%20%3D%2010666.67A)
Once the current is found it is now possible to find the magnetic field, as this is given by the equation,
![B =\frac{\mu_0}{2\pi}\frac{I}{r}](https://tex.z-dn.net/?f=B%20%3D%5Cfrac%7B%5Cmu_0%7D%7B2%5Cpi%7D%5Cfrac%7BI%7D%7Br%7D)
Where,
Permeability Constant
I= Current
r= radius
Replacing the values we have
![B=\frac{4\pi*10^{-7}}{2\pi}(\frac{10666.67}{27})](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B4%5Cpi%2A10%5E%7B-7%7D%7D%7B2%5Cpi%7D%28%5Cfrac%7B10666.67%7D%7B27%7D%29)
![B = 7.9012*10^{-5}T](https://tex.z-dn.net/?f=B%20%3D%207.9012%2A10%5E%7B-5%7DT)
1 astronomical unit = 149597870700m
Enrico should divide distance in meters with this number.