Question

write the relation of potential energy to conservative force????

Answer 1

if we apply mechanical energy conservation [ only when the external force is not acting] then amount of energy stored by the object in term of potential energy is converted into kinetic energy without any loss

mgh = 1/2mv^2

Answer 2

The force due to the conservative field is downwards and in the opposite direction to the ditection in which the mass is move upward a distance , so the work done by the force due to the conservative field is − m g h and that by definition is minus the change in potential energy