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
There would be very less percentage loss<span> of the kinetic energy during </span>the conversion<span> to internal energy, assuming that there is less air in the </span>surroundings<span>. Also, the friction will contribute to the conversion where if it is, the percentage loses is negligible.</span>
Answer:
Stress = 4.67 * 10^-7 N/m²
Explanation:
Young's modulus of the material = Stress/Strain
Given
Young's modulus = 228 x 10^9 Pa
Stress = 106,483 Pa
Required
Strain
From the formula;
Strain = Stress/Young modulus
Strain = 106,483 /228 x 10^9
Stress = 4.67 * 10^-7 N/m²