The work done by a force can change a lot because of friction and other forces that push against it.

• Work is basically how much effort a force uses while moving something. You can think of it like this:

  Work (W) = Force (F) x Distance (d) x Cosine of the Angle (θ)

  In this formula:

  • F is how strong the force is.
  • d is how far something moves.
  • θ is the angle between the force and the direction it’s moving.

• When friction is there, it pulls in the opposite direction of the movement. This makes it harder for the force to do work. So, the force has to work extra hard to overcome the friction if it wants to move something.

When friction is really strong, we can look at the overall (net) work like this:

Net Work (W_net) = Work Applied (W_applied) - Work Friction (W_friction)

• This shows how friction takes away from the total work being done.

Other forces, like air resistance or tension in a rope, can also change how much work is done. Each of these forces plays a part in how we think about work, helping us understand the energy we put in (work done) compared to the energy we get out (like movement or height).

To wrap it up, knowing how friction and other forces play together is really important for figuring out how much total work gets done in a system. Understanding this helps us make machines more efficient and manage energy better in different situations.