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Understanding Density in Physics: Mass and Volume Relationship

Learn how density represents matter's compactness based on mass and volume. Explore Archimedes' principle applied to gold and metals. Solve density problems with mass and volume conversions. Discover applications in detecting illegal ivory and deicing roads with calcium chloride or methanol.

jeffreywilliams
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Understanding Density in Physics: Mass and Volume Relationship

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  1. Density

  2. Archimedes

  3. Archimedes and the Golden Crown

  4. Density • Density is how compact matter is. • More mass shoved into a certain amount of space makes something more dense.

  5. Density Considers Two Things • How much mass is present. • How much volume does it take up. • Make sure to consider both these factors when discussing density.

  6. A A

  7. What does Figure A illustrate about the density of the two metals? Explain. A A

  8. 2. What does Figure B illustrate about the density of the two metals? Explain. A A

  9. 3. If the cube of aluminum in figure B were cut into four equal parts. How would the density of one part compare to the whole cube? A A

  10. 4. Metals expand when heated. If the gold cube in part B is heated, what will happen to its density? A A

  11. Does it Float? • If something floats or rises it is less dense than the material it is floating/rising in. • Objects of greater density will sink.

  12. Density • Density is the mass per unit volume. • How much mass there is in a certain amount of space.

  13. Density • Density is the mass per unit volume. • Density = Mass ÷ Volume

  14. Density is the mass per unit volume. D = Mass ÷ Volume Density ÷

  15. Solving For Variables

  16. Common Volume Units

  17. Mass = 2680g Volume = 1450cm3 Illegal ivory is often detected on the basis of density. What is the density of the elephant tusk?

  18. Illegal ivory is often detected on the basis of density. What is the density of the elephant tusk? Mass = 2680g Volume = 1450cm3 D = M ÷ V = 2680g ÷ 1450cm3 = 1.8482g/cm3 = 1.85g/cm3

  19. Calcium chloride is used as a deicer on roads in winter. Its density is 2.50g/cm3. What mass of calcium chloride will the truck hold if its volume is 4560L?

  20. Calcium chloride is used as a deicer on roads in winter. Its density is 2.50g/cm3. What mass of calcium chloride will the truck hold if its volume is 4560L? 4560L = 4,560,000cm3

  21. Calcium chloride is used as a deicer on roads in winter. Its density is 2.50g/cm3. What mass of calcium chloride will the truck hold if its volume is 4560L? 4560L =4,560,000cm3 M = D x V = 2.50g/cm3 x4,560,000cm3 = 11,400,000g = 11,400,000g

  22. The density of methanol is 0.788g/cm3. What is the minimum volume of a tank that can hold 795kg of methanol.

  23. The density of methanol is 0.788g/cm3. What is the minimum volume of a tank that can hold 795kg of methanol. 795kg = 795,000g

  24. The density of methanol is 0.788g/cm3. What is the minimum volume of a tank that can hold 795kg of methanol. 795kg = 795,000g V = M ÷ D = 795,000g ÷ 0.788g/cm3 = 1,008,883cm3 = 1,010,000cm3 How many liters is this?

  25. The density of methanol is 0.788g/cm3. What is the minimum volume of a tank that can hold 795kg of methanol. 1,010,000cm3 ÷ 1000 cm3/L = 1010L

  26. Homework • Worksheet: Chapter 2-3 • Study Guide Chapters 1 & 2 due Monday

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