What spring constant is needed for such ride?
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You smuggle your bathroom scale on an amusment park roller coaster. At the top of a 16 m radius loop, you look down and note that you weigh 3 times your normal weight. At the bottom of the loop, you are gently brought to temporary rest by a spring that compresses 30 m before launching you around the loop backwards. Ignore friction and assume the mass of the car is 200 kg and the mass of just the rider is 50 kg. The track has negligible friction. What spring constant is needed for such ride?
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