Work, energy, and power are important ideas in physics, but they each have their own meaning when we talk about how things move.

Work is the way we transfer energy when we push or pull something to make it move. To calculate work, we use this simple formula:

[ W = F \cdot d \cdot \cos(\theta) ]

In this formula:

• ( W ) stands for work.
• ( F ) means force, like how hard you push or pull.
• ( d ) is how far the object moves.
• ( \theta ) is the angle between the force and the way the object moves.

Work is measured in joules (J).

Energy is the ability to do work. It can take different forms, like kinetic energy and potential energy.

• Kinetic energy (( KE )) is the energy of something that’s moving and is calculated by:

[ KE = \frac{1}{2}mv^2 ]

Here, ( m ) is the mass of the object, and ( v ) is how fast it’s going.

• Potential energy (( PE )) is stored energy based on position, like how high something is. It can be found with the formula:

[ PE = mgh ]

In this one:

• ( h ) is height.
• ( g ) is the pull of gravity.

Power tells us how fast work is done or energy is transferred. We can figure out power with this formula:

[ P = \frac{W}{t} ]

In this case, ( t ) is time. Power is measured in watts (W).

To sum it up:

• Work shows how energy is transferred.
• Energy is the potential to do work.
• Power tells us how quickly that work happens.

Knowing how these three ideas are different helps us understand and use the work-energy theorem in physics better.