September 23, 2021

# Momentum

Momentum, impulse and the relationship to force. Conservation of momentum with collisions, elastic and inelastic.

# Energy

Work, kinetic energy, the work-energy theorem, gravitational potential energy, spring potential energy and conservation of energy.

# UCM, Gravity and SM

Phases of the Moon and tides.

Uniform Circular Motion, Newton’s Universal Law of Gravitation and the gravitational field and the Standard Model of Elementary Particle Physics.

# Two-Dimensional Kinematics

## Initially Horizontal Motion & Relative Motion

Includes examples of four different cases for initial horizontal motion. Relative motion is illustrated with four cases of a boat on a river.

## The Range Equaton

Derivation of the Range Equation and properties of projectile motion. Solving problems with numbers.

## Position, Velocity & Acceleration

Now with vectors and vector components!

## Vectors

Vectors, components, rectangular and polar notation, adding vectors.

# One-Dimensional Kinematics

## More Motion Graphs & Intersecting Trajectories

Horizontal-motion and free-fall problems are reconsidered with motion graphs. We also consider the intersections of trajectories and constructing acceleration, velocity and position graphs given any one of them.

## Working Problems

Horizontal motion and free-fall are considered.

## Many ways to solve a problem!

The same problem is solved …

• … using the area under the velocity curve.
• … using the slope of the velocity to find acceleration.
• … using two definitions of average velocity.

## Motion Graphs & Kinematic Equations

Reading motion graphs, going between position, velocity & acceleration, derivation of the full position equation using motion graphs and the derivation of the time-independent form.

## Position, Velocity & Acceleration

The basic definitions of the variables that describe motion, the difference between speed & velocity, displacement & distance, and the first few kinematics equations.

# Working with Data

Inverse and direct relationships, constants,proportions and squares. Working with linear functions and linearizing power functions to extract the equation. Download the notes: