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Work = Force x Distance Work is done only if there is motion in the same direction as the force. Motion Force Work = Force x Distance Joe pushes on the car with a force of 900 Newtons and the car moves forward 2 meters. How much work was done on the car? Work = Energy How much energy did Joe expend in moving the car? Power = Work / Time Power is the rate at which work gets done. If Joe pushes the car for 3 seconds, what is his power output? Note:1 horsepower = 750 watts Work = Force x Distance x Cos ө • Joe pulls a sled 100 m with a force of 50 N using a rope which is 30 degrees from horizontal. How much work is done? How much work is done on this car if it moves 50 m? Calculating Work The work done by friction acts in the direction opposite that of motion—at an angle of 180°. Because cos 180° = −1, the work done by friction is negative. Negative work done by a force exerted by something in the external world reduces the kinetic energy of the system. If the person in the figure were to stop pushing, the car would quickly stop moving. Positive work done by a force increases the energy, while negative work decreases it. Gravitational Potential Energy = mass x gravity x height Gravitational Potential Energy is the energy an objects has because of its mass and position. The higher the paint climbers, the more potential energy he has. Gravitational Potential Energy = mgh Bill, the painter, carries a 5 kg can of paint up the ladder 15 meters. What is the potential energy of the paint can? Potential Energy = Work How much work is done on the paint can? Power = Work / Time If Bill carries the can up the ladder in 30 seconds, what is his power output? Other examples of PE Kinetic Energy = ½ mass x velocity2 Bill accidentally drops the can and it falls. Prior to landing, the 5 kg can reaches a velocity of 17.14 m/s. Calculate the kinetic energy of the can. What has more affect on KE? Mass or velocity? If we double the mass of a vehicle….how is the KE changed? If we double the speed of a vehicle…how is the KE changed? Work -Energy Theorem Work done A 105-g hockey puck is sliding across the ice. A player exerts a constant 4.50-N force over a distance of 0.150 m. How much work does the player do on the puck? What is the change in the puck’s energy? Assuming there is no friction, what is the velocity of the puck? Total Mechanical = Potential Energy + Kinetic Energy Energy The Conservation of energy says that the total amount of energy in a system does not change. Potential energy is converted to kinetic energy, and kinetic energy is converted to potential energy. Ball slows down Ball speeds up Energy Conversions Potential Energy transforms to Kinetic Energy PE =1000 kJ KE = 0 kJ PE =200 kJ KE = 800 kJ 1000kg What is the speed of the car as it hits the bottom of the track?