Mechanical Advantage and Chemical Properties

Understanding the Three Classes of Levers

Levers are simple machines used to gain mechanical advantage.

First-Class Levers

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First-class levers change the direction of force. Changes direction of force. Changes direction of force.

  • Case 1: DIN = DOUT, FIN = FOUT, MA = 1. Benefit: Changes direction of force. Drawback: No force or distance benefits. Example: See-saw, Scissors.
  • Case 2: DIN < DOUT, FIN > FOUT, MA < 1. Benefit: DIN < DOUT. Drawback: FIN > FOUT. Example: Catapult.
  • Case 3: DIN > DOUT, FIN < FOUT, MA > 1. Benefit: FIN < FOUT. Drawback: DIN > DOUT. Example: Crowbar.

Second-Class and Third-Class Levers

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Second-Class Levers

  • Properties: DIN > DOUT, FIN < FOUT, MA > 1.
  • Pros/Cons: + FIN < FOUT; – DIN > DOUT.
  • Examples: Paper cutter, nutcracker, wheelbarrow.

Third-Class Levers

  • Properties: DIN < DOUT, FIN > FOUT, MA < 1.
  • Pros/Cons: + DIN < DOUT; – FIN > FOUT.
  • Examples: Arm, baseball bat, croquet mallet, paintbrush.

Principles of Motion and Force

  • Speed: Distance / Time (m/s).
  • Velocity: Distance / Time in a specific direction (m/s→).
  • Acceleration: (Final Velocity – Initial Velocity) / Time (m/s2→). An object can accelerate, decelerate, or change direction.
  • Force: A push or a pull.

Work, Power, and Efficiency Formulas

  • Mechanical Advantage (MA): FOUT / FIN (no label).
  • Work In: FIN x DIN (N·m or Joules).
  • Work Out: FOUT x DOUT (N·m or Joules).
  • Efficiency: (Work Out / Work In) x 100%.
  • Ideal Conditions: Efficiency = 100%, Work Out = Work In.
  • Pulleys: MA = number of supporting strings. Final strings pulling up count; final strings pulling down do not. MA = DIN / DOUT.
  • Ramps: MA > 1; + FIN < FOUT; DIN > DOUT.
  • Work: Force x Distance (Joules or Newton-Meters).
  • Power: Work / Time or (Force x Distance) / Time (Watts, Joules/second, or Newton-Meters/second).

Interpreting Motion Graphs

  • Position/Time Graphs: Measure distance from a specific point; direction is important. It is possible for a position/time graph to go down.
  • Distance/Time Graphs: Measure meters moved without paying attention to direction.

Classification of Matter and Mixtures

  • Matter: Anything that has mass and takes up space.
  • Mixture: Two or more substances mixed together but not chemically combined; they do not act like a new substance when mixed together.
  • Heterogeneous Mixture: Two or more substances mixed but not chemically combined; you can see different parts of the mixture. Example: Suspension (mixture with large particles suspended in each other).
  • Homogeneous Mixture: Cannot see individual particles.
  • Solution: Solute dissolved in a solvent.
  • Alloy: A solution of metals.
  • Colloid: One substance suspended but not dissolved.

Elements, Atoms, and Chemical Compounds

  • Pure Substance: Contains only one type of particle.
  • Element: Contains only one type of atom (118 known elements).
  • Atom: The smallest whole piece of an element that acts like that element.
  • Diatomic Element: Elements that naturally occur with two atoms bonded together (e.g., O2).
  • Chemical Symbol: One capital letter, sometimes followed by a lowercase letter.
  • Compound: Two or more elements mixed together and chemically combined.
  • Molecule: The smallest piece of a compound.
  • Chemical Formula: Tells you the types of elements and the number of atoms.
  • Subscript: A number that affects the element immediately preceding it.
  • Coefficient: A number that comes before the chemical formula to tell you how many “packages” or molecules there are.