Name: Deriving Equations
Uploaded: 2019-11-06T00:00:00.000Z
Description: Derivations of the following: projectile range, projectile height, friction force on an incline, acceleration down an incline, maximum incline angle, acceleration of a pulley-system, Kepler's third law, and the period of a binary-star system.

AP Physics 1

Speed into kinematics in unit 1 of AP Physics 1. We review position, velocity, and acceleration along with explaining how to interpret key motion graphs. We then cover how to calculate free fall, projectile motiom, and angled launches. 

Unit 1 – Kinematics

It's all about the dynamics in unit 2 of AP Physics 1! Dive into systems, gravitational field, contact forces, free-body diagrams, Newton's Laws and their applications, Hooke's Law, vectors, and much more to prepare you for the AP Physics 1 exam!

Unit 2 – Dynamics

Tires spinning. Satellites orbiting. Learn about circular motion like this in unit 3 of AP Physics 1. We cover vector fields, uniform circular motion, fundamental forces, Newton's Universal Law of Gravitation, gravitational field, inertial mass, centripetal acceleration, and those all-important free-body diagrams.

Unit 3 – Circular Motion & Gravitation

Dig deeper into the different forms of energy in unit 4 of AP Physics 1. Explore important concepts like open & closed systems, work, power, kinetic energy, gravitational potential energy, elastic potential energy, mechanical energy, thermal energy, Law of Conservation of Energy, and much more to master the AP Physics 1 exam!

Unit 4 – Energy

Keep up the momentum in unit 5 of AP Physics 1. Review linear & angular momentum, impulse, thrust force, changes in momentum problems, momentum in open & closed systems, elastic & inelastic collisions, center of mass, conservation of linear momentum through our helpful guides and practice questions!

Unit 5 – Momentum

Let's dive into simple harmonic motion in unit 6 of AP Physics 1, through key concepts like period, amplitude, frequency, equilibrium point, kinetic & potential energy, the periods of pendulums & springs, and energy in simple harmonic oscillators.

Unit 6 – Simple Harmonic Motion

Learn about what makes merry go rounds go around and more, including rotational motion, angular displacement, angular velocity, angular acceleration, period, torque, moment of intertia, rotational kinetic energy, and angular momentum with these AP Physics 1 unit 7 resources!

Unit 7 – Torque & Rotational Motion

Don't get shocked! Explore electricity with us in unit 8 of AP Physics 1. We cover essential concepts like charge, electrostatic force, conservation of charge, protons, neutrons, electrons, elementary charge, electric current, electric fields, and Coulomb's Law!

Unit 8 – Electric Charges & Electric Force

Learn about the circuits all around us in unit 9 of AP Physics 1. We review resistivity, voltage, current, resistance, charge, electrical energy, electrical power, series circuits, parallel circuits, Ohm's Law, resistors, Kirchhoff’s Loop Rule, Kirchhoff's Junction Rule, and much more to get a 5 on the AP Physics 1 exam!

Unit 9 – DC Circuits

Ocean waves! Sound waves! Microwaves! Learn about waves in unit 10 of AP Physics 1. We review amplitude, frequency, velocity, wavelength, interference, superposition, nodes, antinodes, transverse & longitudinal waves, Doppler Effect, beats, standing waves, open & closed tubes, harmonics, and all sorts of other applications!

Unit 10 – Mechanical Waves & Sound

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Derivations of the following: projectile range, projectile height, friction force on an incline, acceleration down an incline, maximum incline angle, acceleration of a pulley-system, Kepler's third law, and the period of a binary-star system.

Kinematics Study Guide 

🔑 Key Concepts 

Key Equations 

Unit 1 Overview: Kinematics

Frames of Reference 👨‍💻

Position 🌎

Scalar vs. Vector Quantities 💫

Displacement vs. Distance 🚴‍♀️

Speed vs. Velocity 🏇

Position, Velocity, and Acceleration

Understanding Representations of Motion

Center of Mass

4.A.1 Essential Knowledge ➡️

4.A.2 Essential Knowledge ⏰

Graphical Representations of Motion 📈

Mathematical Representations of Motion 📍

Free Fall ⚽️

Projectile Motion ☄️

Angled Motion 🏹

Representations of Motion

2.0 Unit 2 Overview: Dynamics

Applicable Big Ideas 💨

2.1 Systems

2.2 The Gravitational Field

2.3 Contact Forces

2.4 Newton's First Law

2.5 Newton's Third Law and Free Body Diagrams

2.6 Newton's Second Law

2.7 Applications of Newton's Second Law

Unit 2 Overview: Dynamics

What is a System? 🌏

Properties of a System 🌟

Systems

Gravitational Fields and Weight⬇️

The Gravitational Field

Types of Contact Forces ⛓

 Contact Forces

Newton's First Law of Inertia 🐘


Gravitational vs Inertial Mass 🐁

Newton's First Law

Force Vectors ➡️

Force Interactions 🛠

Force Pairs 🤝

Newton's Third Law and Free-Body Diagrams

Newton's Second Law 🛫

Free-body Diagrams 🌐

Newton's Second Law

Linear Motion of a System ➰

Important Acceleration Formulas 🗯

Angular Tension and Apparent Weight 🔊

When acceleration is upwards

When acceleration is downwards

When there is no acceleration

When an elevator is in free fall

Applications of Newton’s Second Law

Applicable Big Ideas 

Key Concepts 

Key Equations 

3.1 Vector Fields

3.2 Fundamental Forces

3.3 Gravitational and Electric Forces

3.4 Gravitational Field/Acceleration Due to Gravity on Different Planets

3.5 Inertial vs. Gravitational Mass

3.6 Centripetal Acceleration and Centripetal Force

3.7 Free-Body Diagrams for Objects in Uniform Circular Motion

3.8  Applications of Circular Motion and Gravitation

Unit 3 Overview: Circular Motion and Gravitation

Learning Targets

Uniform Circular Motion

Vector Field Between Two Objects

Vector Fields

Gravitational Forces 

The Four Fundamental Forces

Gravitational Domination

Fundamental Forces

Gravitational Force

Newton's Universal Law of Gravitation 

Practice Problems

Gravitational and Electric Forces

Overview

Gravitational Field 

Gravitational Field/Acceleration Due to Gravity on Different Planets

Learning Targets 

Inertial Mass 

Gravitational Mass

Gravitational Mass vs. Inertial Mass

Inertial vs. Gravitational Mass

Important Equations

Centripetal Acceleration

Velocity

Centripetal Force

Practice Questions

Centripetal Acceleration and Centripetal Force

Free Body Diagram Basics

FBDs for Uniform Circular Motion

Roller Coaster FBD 

Free-Body Diagrams for Objects in Uniform Circular Motion

Frames of Reference

Key Concept: Frame of Reference

Rotational Velocity and Acceleration:

Rotational Kinematics:

Force Vectors 

Key Vocabulary: Vector

Force Interactions 

Newton's Third Law 

Applications of Circular Motion and Gravitation

Applicable Big Ideas

Key Concepts 🔑

Key Equations 🗝 

le, and Power

Unit 4 Overview: Energy

Conservation Laws 👨‍💻

Total Energy Changes 👨‍💻

Systems vs Objects 💡

Force Interactions💡

What’s a System?

Work, Work, Work

Power

Open and Closed Systems: Energy

Changes in Kinetic Energy

Changes in Total Energy 

Forces Can Change Kinetic Energy 

Work and Mechanical Energy 

Kinetic Energy

Gravitational Potential Energy

Elastic Potential Energy

Thermal Energy

Work and Mechanical Energy

Law of Conservation of Energy👨‍💻

The Work-Energy Principle

Conservation of Energy, the Work-Energy Principle, and Power

5.1 Momentum and Impulse

5.2 Representations of Changes in Momentum

5.3 Open and Closed Systems: Momentum

5.4 Conservation of Linear Momentum

Unit 5 Overview: Momentum

Momentum

Impulse

Momentum and Impulse

Two Object Problems

Interpreting Different Scenarios

Representations of Changes in Momentum

Closed Systems vs. Open Systems

Momentum of a System

Open and Closed Systems: Momentum

Types of Collisions

Inelastic Collisions

Elastic Collisions 

Conservation of Linear Momentum

Applicable Big Ideas 

Key Equations  

Unit 6 Overview: Simple Harmonic Motion

👨‍💻 Newton's Second Law

🏘 What is a Restoring Force? 

Periods of a Pendulum and Spring

Key Features of Pendulums & Springs 

Period of Simple Harmonic Oscillators

Conservation of Energy

Internal energy

Potential Energy

Kinetic Energy 

Energy in Simple Harmonic Oscillators

Energy of a Simple Harmonic Oscillator

7.1 Rotational Kinematics

7.2 Torque and Angular Acceleration

7.3 Angular Momentum and Torque

7.4 Conservation of Angular Momentum

Unit 7 Overview: Torque and Rotational Motion

The Radian

Basic Rotational Quantities

Mathematical Representations of Motion

Rotational Kinematics

Deriving Equations

Deriving Equations

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Deriving Equations

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