# 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

# Non-Constant Forces

Work done is the area under the force vs. displacement graph

# Hooke's Law

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

# Work-Energy Theorem

# Example: Velocity from an F-d Graph

Determine the object's final speed.