ENERGY and the ROLLER COASTER Key Questions What happens to the motion of a marble on a hilly track? How is energy conserved on a roller coaster? Roller Coasters Millennium Force at Cedar Point: 300 ft drop 80 degree angle of descent 93 mph $25 million to build Fastest coaster: Japan, 106.9 mph Biggest wooden coaster drop: Paramount’s King Island, 214 ft drop Where does the marble move the fastest? 1 5 2 4 3 6 7 At what two positions is the marble moving the fastest? What is unique about these two positions? How does the speed of marble 1 compare to the speed of marble 2? How does the time it takes each marble to reach this point compare? Start 1 2 ENERGY Is WORK the ability to do Force x Distance work. Unit – joules Is stored work Any object that has Unit - joules energy has the ability to create a force Potential Energy that is stored of height – relative to Earth's surface. Energy Ep = mgh m = mass (kg) g = gravity (m/sec2) h = ht (meters) TOP OF THE HILL KINETIC Energy A of Motion moving mass forces Ek exerts = ½ mv2 M = mass (kg) V = speed (m/sec) Why drive so slow in a school zone? Investigate the relationship between speed and height more closely Find the speed of the marble for each of 12 different positions on the coaster Whn finished, please complete the speed vs. position graph Input vs. Output Work Output is always less than Work Input Where does it go? Friction – thermal energy Efficiency (%) A machine is 100% efficient when input = output work. Wo / Wi x 100 The Work – Energy Theorem The total amount of Work that can be done is equal to the total amount of Energy available. Objects cannot do Work without Energy Energy can be stored for later use The Work – Energy Theorem Energy can be converted or transformed (from one form to another) Anything with energy can produce a force capable of action over a distance RADIANT CHEMICAL ELECTRICAL NUCLEAR COOL GRAPH! THROWING A BALL INTO THE AIR
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