Shawn Zhong

Shawn Zhong

 钟万祥
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Shawn Zhong

 钟万祥
  • Tutorials
  • Mathematics
    • Math 240
    • Math 375
    • Math 431
    • Math 514
    • Math 521
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    • Math 632
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    • Learn Haskell
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AP

Home / Notes / AP / Page 2

1.1 – What is Physics?

  • Dec 08, 2017
  • Shawn
  • AP Physics C Mechanics
  • No comments yet
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
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1.2 – Math Review

  • Dec 08, 2017
  • Shawn
  • AP Physics C Mechanics
  • No comments yet
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
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2.1 – Describing Motion I

  • Dec 08, 2017
  • Shawn
  • AP Physics C Mechanics
  • No comments yet
Position / Displacement • An object
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2.2 – Describing Motion II

  • Dec 08, 2017
  • Shawn
  • AP Physics C Mechanics
  • No comments yet
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
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2.3 – Projectile Motion

  • Dec 08, 2017
  • Shawn
  • AP Physics C Mechanics
  • No comments yet
What Is a Projectile • A projectile is an object that is in acted upon only by gravity • In reality, air resistance plays a role • Typically, projectiles are objects launched at an angle Path of a Projectile • Projectiles launched at an angle move in parabolic arcs Independence of Motion • Projectiles launched at an angle have motion in two dimensions ○ Vertical - like free fall ○ Horizontal - 0 acceleration • Vertical motion and horizontal motion can be treated separately! Angled Projectiles • For objects launched at an angle, you must first break up the object
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