3. A roller coaster at an amusement park is at rest on top of a 30 m hill (point A). The car starts to roll down the hill and reaches point B, which is 10 m above the ground, and then rolls up the track to point C, which is 20 m above the ground. A student assumes no mechanical energy is lost (no friction), and solves for... a. The speed the car moving at point B using mechanical energy conservation. What answer does he get? b. Draw free-body diagram of the car at point B c. Whether the car experience weightlessness or overweightness at point B? Justify your answer. (Hint: derive an equation of normal force acting on the car d. The speed the car moving at point C using mechanical energy conservation. What answer does he get? A B с
3. A roller coaster at an amusement park is at rest on top of a 30 m hill (point A). The car starts to roll down the hill and reaches point B, which is 10 m above the ground, and then rolls up the track to point C, which is 20 m above the ground. A student assumes no mechanical energy is lost (no friction), and solves for... a. The speed the car moving at point B using mechanical energy conservation. What answer does he get? b. Draw free-body diagram of the car at point B c. Whether the car experience weightlessness or overweightness at point B? Justify your answer. (Hint: derive an equation of normal force acting on the car d. The speed the car moving at point C using mechanical energy conservation. What answer does he get? A B с
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