#
At what distance above the surface
of Earth the acceleration due to gravity
decreases by 25 % of its value at the
surface CRE = 6400 km)
Answers
Explanation:
g decreases to 64% of it’s value at 1,592,750 meters height, or 1,592.75 km height.
I made a blueJ program to solve your question. All you have to do is put the percentage of g you want, and it can calculate the height above the surface of the earth. The program was actually beta for some other personal complex calculation I was trying to do, but when I saw your question on quora, I thought I can help you by twisting the program a bit.
If you know how to use blueJ, you can use the program I have provided below to easily plug in the percentage of g and get the height. I could have made the program a little more less demanding and faster by removing the unnecessary iteration, but since the problem doesn’t need that much of computing power, I
got a bit lazy and left it. It works however.