This question involves the concepts of the time period, orbital radius, and gravitational constant.
The distance of the satellite above the Earth's Surface is "10400 km ".
The theoretical time period of the satellite around the earth can be found using the following formula:
where,
T = Time Period of Satellite =
R = Orbital Radius = ?
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
![\frac{(21600\ s)^2}{R^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\R = \sqrt[3]{\frac{4.66\ x\ 10^8\ s^2}{9.91\ x\ 10^{-14}\ s^2/m^3}} \\R = 1.675\ x\ 10^7\ m = 1.68\ x\ 10^4\ km](https://tex.z-dn.net/?f=%5Cfrac%7B%2821600%5C%20s%29%5E2%7D%7BR%5E3%7D%3D%5Cfrac%7B4%5Cpi%5E2%7D%7B%286.67%5C%20x%5C%2010%5E%7B-11%7D%5C%20N.m%5E2%2Fkg%5E2%29%285.97%5C%20x%5C%2010%5E%7B24%7D%5C%20kg%29%7D%5C%5C%5C%5CR%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B4.66%5C%20x%5C%2010%5E8%5C%20s%5E2%7D%7B9.91%5C%20x%5C%2010%5E%7B-14%7D%5C%20s%5E2%2Fm%5E3%7D%7D%20%5C%5CR%20%3D%201.675%5C%20x%5C%2010%5E7%5C%20m%20%3D%201.68%5C%20x%5C%2010%5E4%5C%20km)
Now, this orbital radius is the sum of the radius of the earth (r) and the distance of satellite above earth's (h) surface:
R = r + h
1.68 x 10⁴ km = 0.64 x 10⁴ km + h
h = 1.68 x 10⁴ km - 0.64 x 10⁴ km
<u>h = 1.04 x 10⁴ km = 10400 km</u>
Learn more about the orbital time period here:
brainly.com/question/14494804?referrer=searchResults
The attached picture shows the derivation of the formula for orbital speed.
Explanation:
KE = q
½ mv² = mCΔT
ΔT = v² / (2C)
ΔT = (200 m/s)² / (2 × 236 J/kg/°C)
ΔT = 84.7°C
The related concept to solve this exercise is given in the expressions that the magnetic field has both as a function of the number of loops, current and length, as well as inductance and permeability. The first expression could be given as,
The magnetic field H is given as,

Here,
n = Number of turns of the coil
I = Current that flows in the coil
l = Length of the coil
From the above equation, the number of turns of the coil is,

The magnetic field is again given by,

Where the minimum inductance produced by the solenoid coil is B.
We have to obtain n, that

Replacing with our values we have that,



Therefore the number of turn required is 28Truns
The answer is Nuclear Fusion. The sun emits energy by converting hydrogen into helium. Nuclear fusion does two things, it converts hydrogen into helium and it also converts mass to energy.