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PHYSICS 50: Lecture 7-1 RICHARD CRAIG Homework #6 Read Chapter 7 Exercises and Problems: 7.5, 7.14, 7.29,7.38, 7.46, 7.55 Due Thursday, 3/13 Potential Energy Instead of considering how the work form gravity changes the kinetic energy of a system I can consider gravity a form of energy Gravitational Potential energy Ug = mgh Conservation of Energy When no “outside” forces or friction then mechanical energy is conserved Kinetic + Gravitational + Elastic = Constant Total energy is always conserved Q7.4 Concept Question The two ramps shown are both frictionless. The heights y1 and y2 are the same for each ramp. A block of mass m is released from rest at the left-hand end of each ramp. Which block arrives at the right-hand end with the greater speed? A. the block on the curved track B. the block on the straight track C. Both blocks arrive at the right-hand end with the same speed. D. The answer depends on the shape of the curved track. Work and energy along a curved path • Notice the same expression for gravitational potential energy is the same along either a curved or straight path. Shoot bullet at same speed Consider the speed of a projectile as it traverses its parabola in the absence of air resistance. Conservative forces Q7.2 Concept Questions #2 You toss a 0.150-kg baseball straight upward so that it leaves your hand moving at 20.0 m/s. The ball reaches a maximum height y2. v2 = 0 y2 What is the speed of the ball when it is at a height of y2/2? Ignore air resistance. v1 = 20.0 m/s m = 0.150 kg A. 10.0 m/s B. less than 10.0 m/s but more than zero C. more than 10.0 m/s D. not enough information given to decide y1 = 0 Conservation of Mechanical Energy Around the Loop Diver on a spring Board