In simple terms, work, energy, and power are all connected ideas that help us see how forces move things. Let’s break down each one:

Work

• What is Work? Work happens when you use a force to move something.

  To find out how much work is done, we use this formula:
  $W = F \cdot d \cdot \cos(\theta)$

  Here’s what the letters mean:

  • W is work
  • F is the force you apply
  • d is how far the object moves
  • θ (theta) is the angle between the force and the movement.

Energy

• Types of Energy: There are two main types of energy we focus on here:

  • Kinetic Energy (KE): This is the energy of something that is moving. You can find it using this formula:
    $KE = \frac{1}{2}mv^2$
    In this formula:

    • m is the mass (how much stuff)
    • v is the speed.

  • Potential Energy (PE): This is energy that is stored, like when something is lifted. The formula is:
    $PE = mgh$
    Here:

    • h is the height above ground.

Power

• What is Power? Power tells us how fast work is done. You can calculate it using:
  $P = \frac{W}{t}$
  In this equation:
  • P is power
  • t is the time it takes to do the work.

How They All Connect

• The main link between these ideas is called the work-energy principle. This principle says the work you do on something changes its energy.

Also, if you do work faster (more power), that means the energy changes quicker.

Understanding these ideas helps us see how forces change energy in real life. It makes physics feel a lot more relevant and interesting!