If the force = 0 when the GP is maximised. That means, gravitational field strength at that point = 0 as well.
So, the equation will be: 100GM/x^2 - GM/(22R-x)^2 = 0, then solve for x?
I use x because i considered it as ratio.
So correct way would be
(-100GM/X) + (-GM/(22R-x)) = total GP?
But I’m confuse of what value to be put for the total GP in the equation
1. Assume the maximum distance happened at a distance x from the centre of the planet.
2. Total Gravitational Potential would be: (-100GM/x) - (-GM/1-x) = (what should be the max GP equal to)??
By using the equation for the Gravitational Potential -GM/R. It is understand that the max Gravitation Potential would be at infinity point.
- G(100M)/22R-(-GM/22R) would be the maximum Gravitational Potential... I guess...
Then what would be the next step to find the distance?