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solution-hw12 - lai(yl8859 HW12 Ross(15200 This print-out...

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lai (yl8859) – HW12 – Ross – (15200) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A block is pushed against the spring with spring constant 9 . 1 kN / m (located on the left- hand side of the track) and compresses the spring a distance 4 . 6 cm from its equilibrium position (as shown in the figure below). The block starts at rest, is accelerated by the compressed spring, and slides across a fric- tionless track (as shown in the figure below). It leaves the track horizontally, flies through the air, and subsequently strikes the ground. The acceleration of gravity is 9 . 81 m / s 2 . 421 g 2 . 2 m x 9 . 81 m / s 2 v 9 . 1 kN / m 4 . 6 cm What is the speed v of the block when it leaves the track? Correct answer: 6 . 76297 m / s. Explanation: Let : g = 9 . 81 m / s 2 , m = 0 . 421 kg , k = 9100 N / m , v x = v , and d = 0 . 046 m . m h 4 . 53 m g 6 . 76 m / s k d Basic Concepts: Conservation of Me- chanical Energy U i = U f + K f , (1) since v i = 0 m/s.
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