Relationship Between Work, Energy, and Power

Power is the rate at which work is done and to do work you require energy.

P = E (Joules)
      -----------
       t (time)

W= FD ( force x distance)

Suppose there is a force  F acting on an object, causing it to move in a particular direction. Then the work done by the force is the component of F in the direction of motion × the distance the object moves as a result. Work done is measured in joules (J). 

However, if this force is at an angle of a to the horizontal and the body moves a distance of s metres along the ground, then the work done is F cosa × s (since F cosa is the component of the force in the direction of motion).

** If energy is conserved, no work is done. if it is not conserved, it is used to do work.

There are two main types of energy: kinetic and potential

The kinetic energy (K.E.) of a body is the energy an object has as a result of its motion. An object which has no motion will have zero kinetic energy, therefore.

                          K.E. = ½ mv²
   where m is the mass and v is the velocity

Potential energy (P.E.) is the energy an object using height to its advantage

                         G.P.E. = mgh
where h is the height of the body above the ground.

Basically, the total potential energy measures the energy of the body due to its position.

All three variables are dependent on one another and if one was missing, the others wouldnt exist.