 # Relation Between Work And Energy

Energy should be transferred to an object in order to move it. Transferring energy can be in the form of force. This amount of energy transferred by the force to move an object is called work or work done. Thus, the relation between Work and Energy is direct. That is, the difference in the Kinetic energy of an object is work done by an object.

## What is the Relation between Work and Energy?

Work and energy are directly proportional to each other. Work done by an object can be mathematically expressed as:

 $$W=\frac{1}{2}mv_f^{2}-\frac{1}{2}mv_i^{2}$$

Where,

• W is the work done by object measured using Joules.
• m is the mass of the object measured using kilograms.
• vi is the initial velocity of an object measured using m/s.
• vf is the final velocity of an object measured using m/s.

Thus, the work-energy theorem states that:

The net work done by the force on an object is equal to change in its kinetic energy.

### Work and Energy – Formula and Unit

 Formula Terms SI Unit Work to Energy $$W=K_{i}-K_{f}$$ Or $$W=\Delta K$$ W is the work done. Ki is the initial Kinetic Energy. Kf is the Final Kinetic Energy. ?K is the difference in Kinetic Energy. Joules

Note:

Please note that work and energy formula is applicable for the net force acting on a body, and not for the single force acting on a body.

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