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8.8.a Conservation of Energy 1 SWBAT apply the Law of Conservation of Energy to different situations in an effort to calculate unknown variables. 1. A cart has 50 Joules of Kinetic Energy when moving with a velocity of 4 m/s. What is the cart’s mass? 2. A rock climber is 45 meters above the ground. If the mass of the climber is 80 kg, what is his potential energy? 3. A spring has a potential energy of 7 Joules when compressed 13 cm. What is the spring’s spring constant? 1) 2) 3) 4) 5) 6) 7) C A C 240 N/m 0.57 J 2.7 N 38.4 N/m 8) 0.042 J 9) 247 N/m 10) 0.96 J 11) 5 J 12) 47.3 N/m 13) 4219 J Mechanical Energy Kinetic Energy (KE) Non-Mechanical Energy Internal Energy/Heat (Q) Gravitational Potential Energy (GPE or ΔPE) Electrical Energy (W) Chemical Energy Elastic Potential Energy (EPE or PEspring) Nuclear Can an object have The more Total than Energy one is kind the sum of energy of at the same time? all What the forms are some of energy examples present that you in a system can think of? ET = PE + KE + Q Where is the formula for Total Energy? The total energy of a system remains constant, although energy may transform into another form. In other words, energy can neither be created nor destroyed. This can be represented mathematically as: ∑ETi = ∑ETf Total Initial Energy = Total Final Energy Mechanical Energy • Definition • Science Joy wagon- skateboarder with spring GPE=? A 5kg ball is released from a height of 2 meters, slides down a frictionless ramp, and compresses a spring with a spring constant of 20N/m. 3. 4. How thefar ramp haswasn’t the spring frictionless, compressed? and the 1. If 2. What is the Gravitational velocity of been thePotential ball in the Energy spring only J of EPEshown? when of the ball position shown? inhad the90 position compressed, how much energy was transferred into internal energy? 2m x=? v=?