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Chapter 10 Energy Work Simple Machines DEMO: What factors affect energy P257 10-1 Energy and Work WORK—is equal to the constant force exerted on an object in the direction of work times the objects displacement W F d UNITS: Nm = Joule (J) Kinetic Energy—is equal to ½ mass of the object times the speed of the object squared. KE 1 2 mv 2 UNITS: kgm2/s2 = joule (J) Work ENERGY Theorem—work is equal to the change in kinetic energy W KE Kinetic energy is energy of motion. The kinetic energy of an object is the energy it possesses because of its motion. The kinetic energy of a point mass m is given by Energy as the capacity for doing work is a convertible currency. To give something kinetic energy you must do work on it. This development uses the concept of work as well as Newton's second law and the motion equations. It is a special case of the work-energy principle, a powerful general principle of nature CALCULATION OF WORK: . Forces in Car Crashes Stopping Distance for Auto Assuming proper operation of the brakes, the minimum stopping distance for an automobile is determined by the effective coefficient of friction between the tires and the road. The friction force of the road must do enough work on the car to reduce its kinetic energy to zero (work-energy principle). If the wheels of the car continue to turn while braking, then static friction is operating, while if the wheels are locked and sliding over the road surface, the braking force is a kinetic friction force. To reduce the kinetic energy to zero: so the stopping distance is Show calculation Note that this implies a stopping distance independent of vehicle mass. It also implies a quadrupling of stopping distance with a doubling of vehicle speed. Even though the stopping distance for a large truck should be the same as that for a car, there are real-world cases where a truck has more difficulty stopping. Runaway truck ramps are placed on long downgrades like this one on Monteagle in Tennessee. Deep, loose gravel provides a stopping force greater than that obtained from just a tire against the road. Stopping a Truck Suppose a large truck and a small truck are moving with equal momentum. Which will require more work to stop? Which will require more force to stop in a given distance? Truck Collision In a head-on collision: Which truck will experience the greatest force? Which truck will experience the greatest impulse? Which truck will experience the greatest change in momentum? Which truck will experience the greatest change in velocity? Which truck will experience the greatest acceleration? Which truck would you rather be in during the collision? Assignments Problem Solving Page 260-261 Practice problems 261 #1-3 POWER—is equal to the work divided by the time P W t UNITS: Watts (J/s) Power Calculation 10-2 Machines Benefits of machines: Multiplies force, Work out is always less than work in Mechanical Advantage MA Fr Fe Ideal mechanical Advantage IMA de dr EFFICIENGY e Wout 100 Win e MA 100 IMA Click on any machine for further details. CHPTER 11 ENERGY AND ITS CONSERVATION Types of energy: Mechamical energy 1. kinetic energy 2. rotational kinetic energy 3. potential energy 4. elastic potential energy Conservation of energy: Energy in collisions: