Integrated Science: Mechanical Advantage! Who?______________________________________________________Period_____Date_________________ Things to know: πΉππ’π‘ππ’π‘ Mechanical Advantage ππ΄ = πΉ ππππ’π‘ Work: Win = Wout or Findin = Foutdout π Ideal Mechanical Advantage πΌππ΄ = π ππππ’π‘ ππ’π‘ππ’π‘ Efficiency: (MA οΈ IMA)x100% Try these problems: 1. The Coyote uses a pulley system to lift a 500-kg anvil into position over a path where the Roadrunner is known to travel. a) If he used a system of 5 pulleys, how much mass must he have to keep the anvil in position? b) 1-kg = 2.2 lbs. How heavy in pounds must the Coyote be? c) The Coyote is scrawny. If he doesn’t tie off his end of the rope, and doesn’t let go, what will be his fate? 2. Emma drives her ’68 Corvette up onto some ramps to perform maintenance service. If she drives a distance of 1.8 meters along the ramp to raise the car 0.3 meter, what is the ideal mechanical advantage of the ramps? 4. Lydia places a 500-g mass on the end of a meter stick 30-cm from the fulcrum. How much mass is needed on the other end to balance the stick? 5. Noah lifts a 1000-g mass 1-meter with a 6-pulley system. How much work did he do? 6. Nick gets a flat tire and prepares to swap it with the spare. The wimpy scissor jack lifts the car 2 inches per 30-inches of input. a) What is the ideal mechanical advantage? b) Nick must apply a force of 50-N to the handle to lift one corner of the 10,000-N car. What is the mechanical advantage? 7. Tristan, eager to make an impression, lifts a 441-N manhole cover 2-meters from the ground to over his head. How much work was done? 8. Your drill press has a mechanical advantage of 3 but an ideal mechanical advantage of 4. What is your drill's efficiency? 9. You are helping a friend move and are pushing a piano up a 4-meter ramp into a truck. The cargo area of the truck is 1-meter above the ground. If you can push the piano up the ramp with 400N of force and the piano weighs 1000N, how efficient is the ramp?
