AP Physics C Mechanics

AP Physics C: Mechanics

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Table of Contents

~~1.1 - What is Physics?~~

~~1.2 - Math Review~~

~~2.1 - Describing Motion I~~

~~2.2 - Describing Motion II~~

~~2.3 - Projectile Motion~~

~~2.4 - Circular & Relative Motion~~

~~3.1 - Newton's First Law & Free Body Diagrams~~

~~3.2 - Newton's Second & Third Laws of Motion~~

~~3.3 - Friction~~

~~3.4 - Retarding & Drag Forces~~

~~3.5 - Ramps & Inclines~~

~~3.6 - Atwood Machines~~

~~4.2 - Energy & Conservative Forces~~

~~4.3 - Conservation of Energy~~

~~4.4 - Power~~

~~5.1 - Momentum & Impulse~~

~~5.2 - Conservation of Linear Momentum~~

~~5.3 - Center of Mass~~

~~6.1 - Uniform Circular Motion~~

~~7.1 - Rotational Kinematics~~

~~7.2 - Moment of Inertia~~

~~7.3 - Torque~~

~~7.4 - Rotational Dynamics~~

~~7.5 - Angular Momentum~~

~~8.1 - Oscillations~~

~~9.1 - Gravity & Orbits~~

1.1 - What is Physics?

Matter • Matter - anything that has mass and takes up space • Mass - the amount of "stuff" making up an object ○ Stars ○ Electrons ○ Neil Diamond • Inertial Mass ○ How hard it is to accelerate an object • Gravitational Mass ○ How large a gravitational force an object experiences Energy • Energy - The ability or capacity to do work • Work - the process of moving an object Mass-Energy Equivalence • In the early 20th century, Albert Einstein formalized a relationship between mass and energy • The mass of an object, a key characteristic of matter, is really a measure of its energy • The source of all energy on Earth is the conversion of mass into energy

1.2 - Math Review

Cross Product • Cross (vector) product of two vectors gives you a vector perpendicular to both whose magnitude is equal to the area of a parallelogram defined by the two initial vectors • Positive direction of the cross product is given by the right-hand rule • Cross product of parallel vectors is zero. Calculating the Cross Product • |A ⃗×B ⃗ |=AB sin⁡θ • A ⃗×B ⃗=|■8(i ̂&j ̂&k ̂@A_x&A_y&A_z@B_x&B_y&B_z )|=(A_y B_z−A_z B_y ) i ̂+(A_z B_x−A_x B_z ) j ̂+(A_x B_y−A_y B_x ) k ̂ Cross Product Properties • A ⃗×B ⃗=−B ⃗×A ⃗ • A ⃗×(B ⃗+C ⃗ )=A ⃗×B ⃗+A ⃗×C ⃗ • c(A ⃗×B ⃗ )=(cA ⃗ )×B ⃗=A ⃗×(cB ⃗ ) • d/dt (A ⃗×B ⃗ )=(dA ⃗)/dt×B ⃗+A ⃗×(dB ⃗)/dt Unites

2.1 - Describing Motion I

Position / Displacement • An object

2.2 - Describing Motion II

Special Case: Constant Acceleration • For cases of constant acceleration, we can derive a set of "kinematic equations" that will allow us to solve for unknown quantities Deriving the Kinematic Equations Free Fall • When the only force acting on an object is the force of gravity, we refer to object