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Physics – Verizon Next Step Program Mechanics Week 4 Notes - Work and Energy |
5.1) Work The work W done by an agent exerting a constant force is defined as the product of the component of the force along the direction of the displacement and the magnitude of the displacement. W ≡ (F cos θ)s Therefore, if θ = 0; W = Fs 5.2) Kinetic Energy and the Work-Kinetic Energy Theorem Wnet = Fs = (ma)s Wnet = 1/2 mv2 - 1/2 mv02 KE = 1/2 mv2 Wnet = KEf - KEi 5.3) Potential Energy W ≡ mgy where m=mass, g=gravity, y=height Wg = PEf - PEi 5.4) Conservative and Non-conservative forces A force is conservative if the work it does on an object is indepent of the path it takes. i.e., no friction. A non-conservative force leads to dissipation of mechanical energy, usually due to friction. 5.5) Conservation of mechanical energy KEi + PEi = KEf + PEf Potential Energy Stored in a Spring Hooke's law PEs ≡ kx2 where k = spring constant 5.6) Non-conservative forces and the Work-Kinetic Energy Theorem Wnc = (KEf + PEf) - (KEi + PEi) 5.7) Conservation of Energy in General Energy can never be created or destroyed. Energy may be transformed from one form to another, but the total energy of an isolated system is always constant. Therefore, the total energy of the Universe is constant. 5.8) Power _ _ P = W/Δt = FΔs/Δt = Fv unit for power is the Watt, 1 W = 1 J/s = 1 kg m2/s3 Homework 4: pp. 139 # 1 pp. 140 # 3, 4 pp. 141 # 1 pp. 142 # 7, 17 pp. 144 # 41