Answer:
42244138.951 m
Explanation:
G = Gravitational constant = 6.667 × 10⁻¹¹ m³/kgs²
r = Radius of orbit from center of earth
M = Mass of Earth = 5.98 × 10²⁴ kg
m = Mass of Satellite
The satellite revolves around the Earth at a constant speed
Speed = Distance / Time
The distance is the perimeter of the orbit
![v=\frac{2\pi \times r}{24\times 3600}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%5Cpi%20%5Ctimes%20r%7D%7B24%5Ctimes%203600%7D)
The Centripetal force of the satellite is balanced by the universal gravitational force
![m\frac{v^2}{r}=\frac{GMm}{r^2}\\\Rightarrow \frac{\left(\frac{2\pi \times r}{24\times 3600}\right)^2}{r}=\frac{6.667\times 10^{-11}\times 5.98\times 10^{24}}{r^2}\\\Rightarrow \left(\frac{2\pi \times r}{24\times 3600}\right)^2=6.667\times 10^{-11}\times 5.98\times 10^{24}\\\Rightarrow r^3=\frac{6.667\times 10^{-11}\times 5.98\times 10^{24}\times (24\times 3600)^2}{(2\pi)^2}\\\Rightarrow r=\left(\frac{6.667\times 10^{-11}\times 5.98\times 10^{24}\times (24\times 3600)^2}{(2\pi)^2}\right)^{\frac{1}{3}}\\\Rightarrow r=42244138.951\ m](https://tex.z-dn.net/?f=m%5Cfrac%7Bv%5E2%7D%7Br%7D%3D%5Cfrac%7BGMm%7D%7Br%5E2%7D%5C%5C%5CRightarrow%20%5Cfrac%7B%5Cleft%28%5Cfrac%7B2%5Cpi%20%5Ctimes%20r%7D%7B24%5Ctimes%203600%7D%5Cright%29%5E2%7D%7Br%7D%3D%5Cfrac%7B6.667%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.98%5Ctimes%2010%5E%7B24%7D%7D%7Br%5E2%7D%5C%5C%5CRightarrow%20%5Cleft%28%5Cfrac%7B2%5Cpi%20%5Ctimes%20r%7D%7B24%5Ctimes%203600%7D%5Cright%29%5E2%3D6.667%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.98%5Ctimes%2010%5E%7B24%7D%5C%5C%5CRightarrow%20r%5E3%3D%5Cfrac%7B6.667%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.98%5Ctimes%2010%5E%7B24%7D%5Ctimes%20%2824%5Ctimes%203600%29%5E2%7D%7B%282%5Cpi%29%5E2%7D%5C%5C%5CRightarrow%20r%3D%5Cleft%28%5Cfrac%7B6.667%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.98%5Ctimes%2010%5E%7B24%7D%5Ctimes%20%2824%5Ctimes%203600%29%5E2%7D%7B%282%5Cpi%29%5E2%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5CRightarrow%20r%3D42244138.951%5C%20m)
The radius as measured from the center of the Earth) of the orbit of a geosynchronous satellite that circles the earth is 42244138.951 m
When Trinity pulls on the rope with her weight, Newton's Third Law of Motion tells us that the rope will <u>"pull back".</u>
Newton's third law of motion expresses that, at whatever point a first question applies a power on a second object, the first object encounters a power meet in extent however inverse in heading to the power that it applies.
Newton's third law of movement reveals to us that powers dependably happen in sets, and one question can't apply a power on another without encountering a similar quality power consequently. We once in a while allude to these power matches as "action-reaction" sets, where the power applied is the activity, and the power experienced in kind is the response (despite the fact that which will be which relies upon your perspective).
Answer:
approximately 5.8 seconds
Explanation:
if you where to time how fast a rock would fall 12 meters it would approximately be 5.8 seconds