<h2>Answer: 544.818 km</h2>
The velocity of the space shuttle orbiting around the Earth can be determined by the following equation:
(1)
Where:
is the Velocity of the space shuttle
is the Gravitational constant
is the Mass of the Earth
is the distance from <u>the center of the Earth</u> to the space shuttle
Now, firstly we need to find fromo equation (1):
(2)
Substituting the known values:
(3)
(4)>>>This is the distance from <u>the center of the Earth to the space shuttle</u>
But, we are asked to find the distance from the surface of the Earth.
If we want to find it, we have to use the following equation:
(5)
Where:
is the radius of the Earth
is the distance from the<u> surface of the Earth</u> to the space shuttle
So, we are going to substract the radius of the Earth to the total distance from the earth's center to find this value:
(6)
Finally, the distance is: