Figuring out fcat physics rotation
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  • 1. Figuring Out FCAT Physics
    Ms. Donohue
  • 2. Most of it is stuff you already know…
    Y= mx + b
    What is this?
    b is our y-intercept
    m is our slope
    What is slope???
    • Noooo…not that kind
    • 3. The math kind…
    • 4. Slope (m) is equal to…
    • 5. Rise
    • m= (y2-y1)
    (x2 – x1)
    • Slopes show relationships between the axes
  • Find the Slope of this Line
    Pick any two points
    (0, 3) and (3, -1)
    m= (y2-y1)
    (x2 – x1)
    m= (3-(-1))
    (0 – 3)
  • 6. Easy right?
    Any questions?
    Let’s try one more…
  • 7.
  • 8.
  • 9. Now the Physics…
    KNOW Your UNITS!!!
    kilograms (kg)
    seconds (s)
    Newtons (N) which is the same as writing “kg x m/s2”
    meters per second (m/s)
    Acceleration 
    meters per second squared (m/s2)
  • 10. Now the Physics…
    Here are the Formulas you get on the FCAT science reference sheet
    Acceleration (a)
    a= Change in velocity (m/s) a= vfinal-vinitial
    Time taken for the change (s) tfinal-tinitial
    Average Speed (or velocity) (v)
    v= Distance v= d
    Time t
    Force in Newtons (F)
    F= mass (kg) x acceleration (m/s2) F = ma
    Work (W)
    W= Force (N) x distance (m) W = Fd
  • 11. We can rearrange these equations to get exactly what we are looking for
    a= vf-vi
    v= d
    F = ma
    W= Fd
  • 12. So how is the algebra involved in physics?
    a= vf-vi
    What does the above equation look similar to?
    m= (y2-y1)
    (x2 – x1)
    We use this relationship to solve FCAT physics problems….
    Anytime you see a graph with a straight line, you should think SLOPE!
  • 13. Efficiency and Energy
    What unit do we use to measure energy?
    Joules (J) or calorie (cal)
    Percent efficiency= Energy Output x 100%
    Energy Input
    Energy output energy used
    Energy input  energy you started with
    ***Energy output can NEVER be greater
  • 14.
  • 15. Other important formulas
    Potential Energy
    Stored energy
    Based on position of object OR arrangement of atoms
    PE= mass x gravity x height
    g always = 9.8 m/s2
    Kinetic Energy
    Energy of motion
    KE= mass x (velcocity) 2
    KE = m v2
    Mechanical Energy (ME)
    ME= PE + KE (super easy!)
  • 16. Law of Conservation of Energy
    Energy cannot be created or destroyed…it can only transferred and change form…
    • Hot object (lots of Energy) cold object (less energy)
    • 17. Kinetic Energy changes into Potential
    • 18. Light Energy (Sun) changes into Chemical Energy (GLUCOSE molecule)
  • 19. V= 0 m/s
    V=20 m/s
    2 m
    V=40 m/s
  • 20. Practice Efficiency Problems!
    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?
  • 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?
  • 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.
  • 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?
  • 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?
  • 25. Answers
    50% efficiency
    75% efficiency
    About 64% efficiency
    About 1.5% efficiency
    About 600 meters high