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solution14 - fullwood(tf5349 Quiz 9 Conservation of Energy...

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fullwood (tf5349) – Quiz 9 Conservation of Energy – Catala – (49033) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The 9 . 3 kg object is released from rest at a height of 3 . 9 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant 613 N / m. The object slides down the ramp and into the spring, compressing it a distance x before coming momentarily to rest. 3 . 9 m 613 N / m 9 . 3 kg x The acceleration of gravity is 9 . 81 m / s 2 . Find x . Correct answer: 1 . 07744 m. Explanation: Let : m = 9 . 3 kg , h = 3 . 9 m , k = 613 N / m , and g = 9 . 81 m / s 2 . Applying conservation of energy, - mg h + 1 2 kx 2 = 0 x = radicalbigg 2 mgh k = radicalBigg 2 (9 . 3 kg) (9 . 81 m / s 2 ) (3 . 9 m) 613 N / m = 1 . 07744 m . The energy stored in the compressed spring will accelerate the block, launching it back up the incline, so the block will retrace its path, rising to a height of 3 . 9 m.
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