- #1
green-beans
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Homework Statement
During class, we were considering position dependent forces and we used the following differential equation to describe what is happening to the object in this case:
m*(d2x/dt2) = F(x) (i.e. ma=F(x))
Then, we were introduced the potential V(x) which we defined as:
F(x) = -(dV/dx) = -mg
I am a bit confused where did the negative sign come from and why it is equal to -mg as I though F(x) is the force dependent only on position (and not g).
Also, I do not quite understand what physical meaning does potential V have. Does it just show the energy level of an object at a particular position in space?
I hope this is not confusing and thank you for your help in advance!
Homework Equations
As stated before the following equation was introduced, the meaning of which I cannot really understand:
F(x) = -(dV/dx) = -mg
The Attempt at a Solution
I suspect the sign has something to do with the direction in which the position changes.