#AP Physics 1: Energy Review - The Night Before 🚀

Hey! Let's get you feeling confident about energy for tomorrow's exam. We're going to break this down, make it super clear, and get you ready to rock! 💪

#1. Work and Energy: The Big Picture

#What is Energy? 🤔

Energy is the ability to do work. It comes in many forms, and it's all about how things move and interact. Let's dive into the main types you need to know for AP Physics 1. ### Work: The Energy Transfer Mechanism

• Definition: Work is the process of transferring energy into or out of a system by applying a force over a distance.
• Key Idea: Work is done when a force has a component parallel to the displacement of the object. If the force is perpendicular to the motion, no work is done.

#2. Types of Energy

#Kinetic Energy (K): The Energy of Motion

• Definition: Energy an object possesses due to its motion.

• Formula: $K = \frac{1}{2}mv^2$ where m is mass and v is velocity.

  

• Key Point: Kinetic energy is always positive because velocity is squared.

• Change in Kinetic Energy: $ΔK = K_f - K_i$. This change occurs when work is done on an object.

#Deriving Kinetic Energy from Work

Here's how work leads to changes in kinetic energy:

1. Start with Work: $W = Fd$

2. Newton's Second Law: $F = ma$

3. Kinematics: $v_f^2 = v_i^2 + 2ad$ which can be rearranged to $a = \frac{v_f^2 - v_i^2}{2d}$

4. Substitute: $W = mad = m(\frac{v_f^2 - v_i^2}{2d})d = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2 = ΔK$

   

   

#Gravitational Potential Energy (Ug): Energy of Position

• Definition: Energy stored in an object due to its position in a gravitational field.
• **Formula...