Can someone explain to me the work equation for springs?

[Blockade]

I need to find the work done with springs but I don't understand this equation too well, can someone help me know what are each variable and how to find each of them?

W_H - f_F*d = ΔK + ΔU_s + ΔU_g?

I know that "W_H" is the work done by the hand and that "f_F*d" is force of friction * displacement, but what I don't understand is what are "ΔK", "ΔU_s", and "ΔU_g"?

 

[Simon Bridge]

A capital delta means "change in" whatever follows.
K = kinetic energy
U = potential energy - in this case it is the energy stored in the spring (subscript s) or in gravity (subscript g).

Note: f_F is the force of friction, f_F*d is the work done moving a distance d against friction using the definition of work as W=Fd. (The "*" is sometimes used for multiplication.)

It basically just means that work is equal to the change in energy.
I'm guessing the spring in question is oriented vertically and has a mass on the end of it.

 

[drvrm]

I know that "WH" is the work done by the hand and that "fF*d" is force of friction * displacement, but what I don't understand is what are "ΔK", "ΔUs", and "ΔUg"?

pl. give the background of this relation i.e. whether you are raising a body by using a spring or you are moving a body on the surface by working with your hand etc
otherwise we can apply only common sense logic of using the notations in physics;
for example- K and U used for kinetic energy and potential energy in physics-
so change in K- May denote change in kinetic energy
change in Us may stand for spring energy -the potential energy of the spring by compression/extension.
change in Ug may stand for change in gravitational potential energy.
your equation is a energy -work relation and you are taking the work done in overcoming the frictional forces.