Figuring out fcat physics rotation


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Figuring out fcat physics rotation

  1. 1. Figuring Out FCAT Physics<br />Ms. Donohue<br />
  2. 2. Most of it is stuff you already know…<br />Algebra…<br />Y= mx + b<br />What is this?<br />b is our y-intercept <br />m is our slope<br />What is slope???<br /><ul><li>Noooo…not that kind
  3. 3. The math kind…
  4. 4. Slope (m) is equal to…
  5. 5. Rise</li></ul> Run<br /><ul><li>m= (y2-y1)</li></ul> (x2 – x1)<br /><ul><li>Slopes show relationships between the axes</li></li></ul><li>Find the Slope of this Line<br />Pick any two points<br />(0, 3) and (3, -1)<br />m=rise/run<br />m= (y2-y1)<br /> (x2 – x1)<br />m= (3-(-1))<br /> (0 – 3)<br />m=-4/3<br />
  6. 6. Easy right?<br />Any questions?<br />Let’s try one more…<br />
  7. 7.
  8. 8.
  9. 9. Now the Physics…<br />KNOW Your UNITS!!!<br />Mass <br />kilograms (kg)<br />Time <br />seconds (s)<br />Force <br />Newtons (N) which is the same as writing “kg x m/s2”<br />Velocity <br />meters per second (m/s) <br />Acceleration  <br />meters per second squared (m/s2)<br />
  10. 10. Now the Physics…<br />Here are the Formulas you get on the FCAT science reference sheet<br />Acceleration (a)<br />a= Change in velocity (m/s) a= vfinal-vinitial<br /> Time taken for the change (s) tfinal-tinitial<br />Average Speed (or velocity) (v)<br />v= Distance v= d<br /> Time t <br />Force in Newtons (F)<br />F= mass (kg) x acceleration (m/s2) F = ma<br />Work (W)<br />W= Force (N) x distance (m) W = Fd<br />
  11. 11. We can rearrange these equations to get exactly what we are looking for<br />a= vf-vi <br /> tf-ti<br />v= d<br /> t<br />F = ma<br />W= Fd<br />
  12. 12. So how is the algebra involved in physics?<br />a= vf-vi <br /> tf-ti<br />What does the above equation look similar to?<br />m= (y2-y1)<br /> (x2 – x1)<br />We use this relationship to solve FCAT physics problems….<br />Anytime you see a graph with a straight line, you should think SLOPE!<br />
  13. 13. Efficiency and Energy<br />What unit do we use to measure energy?<br />Joules (J) or calorie (cal)<br />Percent efficiency= Energy Output x 100%<br />Energy Input<br />Energy output energy used<br />Energy input  energy you started with<br />***Energy output can NEVER be greater <br />
  14. 14.
  15. 15. Other important formulas<br />Potential Energy<br />Stored energy<br />Based on position of object OR arrangement of atoms<br />PE= mass x gravity x height<br />PE=mgh<br />g always = 9.8 m/s2<br />Kinetic Energy<br />Energy of motion<br />KE= mass x (velcocity) 2<br /> 2<br />KE = m v2<br /> 2<br />Mechanical Energy (ME)<br />ME= PE + KE (super easy!)<br />
  16. 16. Law of Conservation of Energy<br />Energy cannot be created or destroyed…it can only transferred and change form…<br /><ul><li>Hot object (lots of Energy) cold object (less energy)
  17. 17. Kinetic Energy changes into Potential
  18. 18. Light Energy (Sun) changes into Chemical Energy (GLUCOSE molecule)</li></li></ul><li>
  19. 19. V= 0 m/s<br />V=20 m/s<br />2 m<br />V=40 m/s<br />
  20. 20. Practice Efficiency Problems!<br />Engineers make a battery that supplies iPad2’s with 16,000 J of energy to make an output of 8,000 J of energy in the form of sound and light for the screen. How efficient is the iPad 2?<br />
  21. 21. 2. What is the efficiency of a hummer that uses 36,000 J of energy from gasoline to make 27,000 J of kinetic energy to move the car?<br />
  22. 22. 3. At Grad bash you ride The Incredible Hulk roller coaster that is 200 meters tall. The roller coaster cart has a mass of 2000kg. At the bottom of the first hill, the speed is 50 m/s. What is the efficiency of the roller coaster assuming it starts from rest at the top of the hill.<br />
  23. 23. 4. Hollywood Tower of Terror at MGM boasts that you will be free-falling 120 meters until you reach a speed of 6 m/s near the bottom. How efficient is the ride?<br />
  24. 24. 5. You are designing an Avatar roller coaster for Universal. You want to simulate the Toruks, with their deadly swoops and drops. You need to achieve a record speed of 100 m/s at the bottom of the very first drop. You meet with your fellow engineers and determine the efficiency of your sleek Toruk carts is about 85%. How high will the first hill have to be if you wanted to achieve record breaking velocity? <br />
  25. 25. Answers<br />50% efficiency<br />75% efficiency<br />About 64% efficiency<br />About 1.5% efficiency<br />About 600 meters high<br />