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Unformatted text preview: 91 Roller Coaster A roller coaster car of total mass m =500 kg (including passengers) moves along the track shown the diagram. The track is frictionless and the car has a velocity of magnitude v 1 =2 m/s at the top of the first hill and h = 50 m. We will take the gravitational potential energy of the system to be zero at point C. Answer the following questions, using the idea of conservation of mechanical energy. Do not just write down the numerical answer — first derive and write down an equation in terms of m , g , h and v 1 , then insert the numerical values. (a) What is the total mechanical energy of the car at point A? (b) What is the gravitational potential energy (GPE) of the car at point B? (c) What is the speed of the car at point C? (d) The car will not reach the top of the last hill. How high will it go? Adapted from Cummings et al., Understanding Physics , Wiley 2006. Chapter 10 Problem 4....
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 Fall '09
 LIND
 Potential Energy, rod, smallest height h0

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