• Stored Energy • Energy of Position • Working Energy • Energy of Motion 1 Potential Energy becomes Kinetic Energy. or in other words… Stored Energy becomes Working Energy For example… a rubber band zinged from your finger has kinetic energy. While it was stretched, waiting for you to release it, it had potential energy. The rubber band was stationary (not moving), but work had been done on it to move it to its present position. This again is an energy transformation. 2 The formulas to calculate Potential Energy are… Potential Energy = weight X height PE = wh PE is measured in Joules (J) Weight is given in Newtons (N) & height in meters (m) Gravitational Potential Energy = mass X gravity’s acceleration X height GPE = mgh Mass is given in kilograms (kg), gravity’s acceleration is 9.8m/s2 & height is in meters (m) 3 Problem: A 17N flower pot is lifted to a height of 3 meters. What is the energy of this object? GUESS Read the problem, draw a picture and write down what is given in the problem. GUESS Write down the unknown variables in the problem. Given W = 17N h = 3m GUESS Unknown Potential Energy Equations Needed PE = wh Substitute including units PE = 17N x 3m Solution PE = 51 Joules Write down the equation needed to solve the problem. GUESS Substitute the known variables into the equation including the UNITS. GUESS Solve the equation including the UNITS. 4 Problem: A 30 kg child climbs 15m up a tree. When she stops to look around, what is the child’s energy? GUESS Read the problem, draw a picture and write down what is given in the problem. GUESS Write down the unknown variables in the problem. Given M = 30kg h = 15m GUESS Unknown Equations Needed GPE GPE = mgh Substitute including units Solution GPE = 30kg X 9.8m/s2 x 15m PE = 4410 Joules Write down the equation needed to solve the problem. GUESS Substitute the known variables into the equation including the UNITS. GUESS Solve the equation including the UNITS. 5 6 The formula to calculate Kinetic Energy is… Kinetic Energy = ½ (mass x velocity2) KE = mv2 2 Units for Kinetic Energy are – Joules (J) Units for Mass are – kilograms (kg) Units for Velocity are – (m/s) 7 Problem: What is the energy of a 25kg tennis ball being hit at a velocity of 13m/s? GUESS Read the problem, draw a picture and write down what is given in the problem. GUESS Write down the unknown variables in the problem. Given Unknown Equations Needed Substitute including units Solution KE = 25kg (13m/s)2 M = 25kg v = 13m/s 2 KE KE = mv2 2 KE = 25kg (169m2/s2) 2 KE = 2112.5 Joules KE = 4,225kg.m2/s2 2 GUESS Write down the equation needed to solve the problem. GUESS Substitute the known variables into the equation including the UNITS. GUESS Solve the equation including the UNITS. 8 9