What is relation between the force acting on a particle and its potential energy? explain.
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1 Answer
This isn't simple, but I can show you a cool technique for only needing to recall a single equation and deriving the rest.
Explanation:
We'll take gravity as the simplest example, equivalent equations for electrical and magnetic fields just involve altering the constants.
F = -
Because energy = force x distance,
Potential is defined as being energy per unit mass, so the equation will be:
and finally field strength is change in potential per unit distance (the gradient, or first derivative of the potential - distance curve)
Finally, as we know F = m.g, we get back to where we started by multiplying by mass.
Pretty nifty, eh?
Just to help, I've attached a photo that shows the symmetry of the cycle: