What is Work?
Work is the process of moving an object by applying a force
The object must move for work to be done
The force must cause the movement
Work is a scalar quantity
Units are Joules
Work in One Dimension
Only the force in the direction of the displacement contributes to the work done
Work done is the area under the force vs. displacement graph
The more you stretch or compress a string, the greater the force of the spring
The spring's force is opposite the direction of its displacement from equilibrium
Model this as a linear relationship, where the force applied by the spring is equal to a constant (the spring constant) multiplied by the spring's displacement from its equilibrium (rest) position
Slope of the graph gives you the spring constant, k (in N/m)
Work Done in Compressing a Spring
A spring obeys Hooke's Law. How much work is done in compressing the spring from equilibrium to some point x?
Work Done in Compressing a Non-Linear Spring
Work in Multiple Dimensions
Example: Velocity from an F-d Graph
Determine the object's final speed.