# Potential energy change

is it true that potential energy of a particle always decreases in the direction of conservative force acting on it.

tiny-tim
Homework Helper
hi pratikaman!
is it true that potential energy of a particle always decreases in the direction of conservative force acting on it.

potential energy is defined as minus the work done by a conservative force

so yes, if your displacement is in the direction of the force, the work done is positive, and so the potential energy difference is negative

ok take a inverse square force like A/r^2 always pointing towards origin. where 'A' is some constant and 'r' is distance from origin of force. then potential energy function for this is U= A/r + c . where c is arbitrary constant. then potential in this case increases in direction of force.

tiny-tim