A child and sled with a combined mass of 60.0 kg slide down a frictionless hill. If the....?
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A child and sled with a combined mass of 60.0 kg slide down a frictionless hill. If the sled starts from rest and has a speed of 13.0 m/s at the bottom, what is the height of the hill? _____m
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Answer:
Equations: Potential Energy = Kinetic Energy PE = mass * gravity constant (g = 9.8 m/s^2 on earth) * height KE = 1/2 * mass * velocity^2 mgh = .5 * m * v^2 m = 60.0 kg v = 13.0 m/s g = 9.8m/s^2 Move variables to sides (.5 * m * v^2)/(m*g) = h (.5 * v^2)/g = h masses cancel!!! h = 8.62 m ANSWER: The height of the hill is equal to 8.62 meters Please visit: http://lettergram.net/ if you have similar trouble, I have videos and downloadable content if you need to look at it ;)
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