Elazar and Connor | Final Exam Presentation

WORK AND FORCE

Force:
A push or pull which acts on an object. This doesn't necessarily mean the object will move, but the force is existent.

Imagine a water bottle on a table, if you push the bottle lightly it might not move. This is an example of a force acting on a force and being counteracted by friction. This leads to the ideas of force diagrams.

Think of all the forces acting on you now. What keeps you on Earth? What keeps you from falling through the ground? Are these things acting on you?

Before we take a look at work, recall what we learned about displacement. It is important to know that displacement is the difference between the final position and the initial position. Where the particle goes in between is not important. So displacement=X(final)-X(initial)


Work:

A force acting on a body which results in a displacement.

Work is related to force through calculus. Just like position is the antiderivative of velocity, work is the antiderivative of force. The only difference is the variable. With velocity and position the change is the change in time, while with work the change is with respect to the axis of displacement.

Constant force: something which doesn't change over time, gravity is a great example of this.
Equation for work when the force is constant:

Variable force: a force which varies over time, given as an equation.
Equation for work when the force is variable:

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