Gravitational Potential (symbol: φ and units: J kg-1)
The gravitational potential, φ , at a point due to the gravitational field set up by a mass M is defined as the work done per unit mass in bringing a point mass from infinity to that point.
Mathematically, it can be shown that
1) This expression
2) Gravitational potential is a scalar quantity. (i.e. it has no direction and a negative value simply means it is less than zero).
3) This expression implies that φ is also always negative (less than zero) and by convention, the gravitational potential at infinity is also taken to be zero (maximum).
4) Similar to gravitational field strength
5) As distance r of the point mass from source mass increases, φ increases according to the equation ϕ
Try to input your own model for potential until you achieve a close fit to the data set graph from potential.
What is the value of M is the model?
no need to key in x10-11
abs in java is absolute | | that always make the value positive.
try something like -6.67*500/abs(r) in the equivalent for ϕ
|units||N kg-1 or m s-2||J kg-1|
|meaning||Force per unit mass||Potential energy per unit mass|
|relationship to mass||Force, F ||Potential energy, U |
|computer model if M = 500.||-6.67*500/(abs(r)*r)||-6.67*500/abs(r)|