Plans for the Week and Assignments: 1. WEDNESDAY(12/10): States of Matter, Introduction to Fluid Mechanics, Archimedes' Principle, Pascal's Principle. HW: Read pages 341-351 and Solve prob. 65, 67, 69, 71, 75, 77, 79, and 81 on pages 368-370. 2. THURSDAY(12/11): Bernoulli's Principle, Properties of Gases, Thermal Expansion of Solids. HW: Read pages 352-367 and Solve prob. 82, 86, 88, 92, 94, and 95 on pages 370-371. 3. FRIDAY(12/12): Bring all Homework Problems to Class on Monday, NO Exceptions. They will be collected and graded as a 50 Point Quiz. We will also begin our Semester Exam Review I. HW: Complete Review Handout. 4. MONDAY(12/15): Review II for Semester Exam. All assigned Homework Problems due, NO Exceptions. HW: Complete Review Handout. 5. TUESDAY(12/16): Review III for Semester Exam. Period 1 Semester Exam. Shortened classes for Periods 2-7. HW: Study for Semester Exams. 6. WEDNESDAY(12/17): Late Start (10:30). Period 2 & 3 Semester Exams. HW: Study for Semester Exams. 7. THURSDAY(12/18): Late Start (10:30). Period 4 & 5 Semester Exams. HW: Study for Semester Exams. 8. FRIDAY(12/19): Late Start (10:30). Period 6 & 7 Semester Exams. Semester Folder check (25 pts.) due, NO Exceptions, for 6th and 7th period classes. HW: Have a Safe and Happy Holiday Break! Very Important: If you have any questions or miss a class, see me before school (8:00 - 8:30 AM), during 4th hour and Lunch, or after school. Best to send an email to rpersin@fau.edu.
WEBSITE NOTES: Ch.13 - States of Matter. 1. It is well-known that the four states of matter are: a. Gases - easy to compress, particles far apart, expand to fill any container, and repel each other. b. Liquids - no definite shape, particles close together, and attract each other. c. Solids - definite volume, hard to compress, closer spacing than liquids. d. Plasma - charged particles in motion. 2. Most solids expand when heated and contract when cooled. To measure this this effect linearly, we use the equation ΔL = α·Lo·ΔT , where α is the coefficient of linear expansion. For volume expansion, we use the equation ΔV = β·Vo·ΔT ,where β is the coefficient of volume expansion. (See Table 13-2, page 361.) 4. A fluid is any material that flows and offers little resistance to change in shape. Therefore, all liquids and gases are fluids. Fluid mechanics is the study of fluids in motion while fluid statics is the study of fluids at rest. 5. Fluids are described by their density, ρ, (the Greek letter Rho) which is the ratio of mass to volume. ρ = m/V. Pure water at 4o C has a density of 1000 kg/m3 at STP. Using the same unit, some common densities would be: (i) helium .179, (ii) steam .598, (iii) ice .917, (iv) air, 1.29, (v) carbon dioxide 1.98. 6. All of the above densities can change due to variations in pressure and temperature. We should know that STP (Standard Temperature and Pressure) is 0.0oC and 1.0 atm. 7. All fluids exert a force on objects partially or completely submerged in them. This is the buoyant force. Archimedes (287-212,BC), of Syracuse, Greece, was probably the greatest scientist of antiquity. He discovered the method for calculating the buoyant force and shouted, "Eureka!" as he sprang from his bath. 8. Archimedes' Principle states that the buoyant force of a fluid on a mass submerged in it equals the weight of the fluid displaced. The equation for buoyant force is FB = ρVg . 9. All fluids also exert pressure, P, which equals force per unit area, P=F/A. Combining this equation with the density equation we can easily compute the pressure exerted by a fluid at any depth, P=ρhg. 10. The MKS unit of pressure is the N/m2. This is now called the Pascal (Pa) in honor of the French mathematician Blaise Pascal (1623-1662). 11. Some accepted values of pressure estimates are: (a) 1 atm = 1.01x105 Pa at sea level, (b) at 10 km elevation, 1 atm = 2.8x104 Pa, (c) bottom of Pacific, 6x107 Pa, (d) center of Earth, 4x1011 Pa, (e) best vacuum, 1x10-12 Pa. 12. Pascal's Principle states that the force exerted on a fluid is transmitted equally throughout the fluid. That is, P1=P2 , which means that F1/A1=F2/A2. This leads to hydraulics, the study of forces exerted by fluids. 13. Pressure also varies with depth of a fluid, with the absolute pressure equal to fluid pressure, as a function of its density and height, plus atmospheric pressure. Therefore, PABS= Po + ρhg . 14. Gases exert pressure on the walls of a container due to collisions that transfer momentum. Much of this is due to the fact that gas particles naturally repel one another. 15. Theoretically, gas pressure is based on Kinetic Theory, which assumes that (a) all gases are composed of tiny particles (atoms or molecules), and (b) these particles are in constant motion. 16. Daniel Bernoulli (1700-1782), Swiss, derived the principle that bears his name, "as the velocity of a fluid increases, the pressure exerted by the fluid decreases". P + ½ρv2 + ρhg = (constant) . 17. His most famous production, Hydrodynamica, was the basis for the Kinetic Theory of Gases and also explains the phenomenon of lift. 18. An ideal gas is one that within a range of densities, temperature, volume, and pressure have a simple relationship. This is illustrated by the Ideal gas law, PV = nkT . 19. In the Ideal Gas Law, k = 1.38x10-23 J/K , a constant named after Ludwig Boltzmann (1844-1906), Austria, who developed the branch of Physics known as Statistical Mechanics. 20. All gas laws use the absolute temperature unit, the Kelvin (K), named after William Thomson, Lord Kelvin (1824-1907). Water freezes at 273.15 K and boils at 373.15 K, with 0.00 K being absolute zero. 21. When a gas is kept at constant temperature, its pressure is inversely proportional to the volume. This is Boyle's Law PV = k . 22. Also, when the pressure is kept constant, the volume is directly proportional to the temperature. This is the law of Charles and Guy-Lussac V/T = k . 23. And still, we need these steps to solve any problem in Physics: (i) read the problem and identify the given variables (ii) determine what you are asked to solve for (iii) find the correct motion formula to use (iv) use algebra to isolate the unknown (v) substitute-in the given information and simplify. Here are the answers to the 50 pt. Homework in scrambled format.
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