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Energy General Physics Kinetic Energy • Energy a moving object has •K = ½ –m: mass (kg) –V: velocity (m/s) –K: kinetic energy (joules) 2 mv Work-Energy Theorem DK = W or DPE = W DK = Kf – Ki DPE = PEf - PEi Potential Energy • Stored energy due to gravitational attraction between Earth and all objects • PE = mgh –M: mass (kg) –g: 9.8 m/s2 –h: height object is from reference point (meters) –PE:potential energy (joules) Conservation of Energy • Energy can not be created nor destroyed, it can only change forms Mechanical Energy • Energy acquired by objects upon which work is done • ME= PE + K Example Problem • A 15.0 kg cart is moving with a velocity of 7.50 m/s down a hallway. A constant force of 10.0 N acts on the cart, and its velocity becomes 3.20 m/s. What is the change in kinetic energy of the cart? How much work was done on the cart? Example Problem Ki = ½(15.0 kg)(7.50 m/s)2 = 422 J Kf = ½(15.0kg)(3.20m/s)2 = 76.8 J DK =Kf - Ki = 76.8 J – 422 J = -345.2 J W=DK = - 345.2J Example Problem Eesha weighs 505 N. She walks down a flight of stairs at Solon High School to a level 5.50 m below her starting point. What is the change in Eesha’s potential energy? Example Problem PE = (mg)h = (Fg)h = (505N)(-5.50m) = -2780 J DPE = PEf - PEi = -2780 J – 0 = -2780 J Example Problem • K = 1/2mv2 • Kαm – Double mass K doubles – Cut mass in ½ K is cut in 1/2 • K α v2 – double v (2v)2 = 4v K quadruples – cut v ½ (1/2v)2 = 1/4v K is cut by 1/4