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If work W done by a net force acting on a body only changes the speed of the body then the work done is given by W = mv f - mvi where vf and vi are the final and initial speeds of the mass m. Gravitational Potential Energy
The gravitational potential energy is given by mg (h'-h) where h' and h is the final and initial location of the mass m.
m h' h Hooke's Law
The restoring force F of an ideal spring is proportional to the displacement x of the spring from its natural length. Hooke's Law is given by F=-kx, where k is the spring constant whose SI unit is N/m. The restoring force always points opposite to the direction of the displacement. Potential Energy of a Spring
The potential energy PEs of a spring is PE s = kx where k is the spring constant and x is the displacement of the spring from its natural length. Conservation of Energy
Energy can neither be created or destroyed, but can only be converted from one form of energy to another, that is Ebefore = Eafter
where the energy before Ebefore or after Eafter is the sum of kinetic and potential energies, i.e., for each the total energy is E =...

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