Mechanical Advantage and Chemical Properties
Understanding the Three Classes of Levers
Levers are simple machines used to gain mechanical advantage.
First-Class Levers
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
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.
