HW 6 solution_pdf

HW 6 solution_pdf - ghei (mg42382) HW 6 opyrchal (11130) 1...

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Unformatted text preview: ghei (mg42382) HW 6 opyrchal (11130) 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Suppose the incline is frictionless for the system shown. The angle of inclination is 22 , the spring constant is 302 N / m and the mass of the block is 6 . 81 kg. The block is released from rest with the spring initially unstretched. The acceleration of gravity is 9 . 8 m / s 2 . 302 N / m 6 . 8 1 k g = x 22 How far x does it move down the incline before coming to rest? Correct answer: 0 . 165566 m. Explanation: Let : = 22 , k = 302 N / m , m = 6 . 81 kg , and = 0 . Energy is conserved, so U i = mg x sin = U f = k x 2 2 Hence, solving for x x = 2 mg sin k = 2 (6 . 81 kg) (9 . 8 m / s 2 ) sin 22 302 N / m = . 165566 m . 002 (part 2 of 2) 10.0 points Choosing down the incline as the positive di- rection, what is its acceleration at its lowest point? Correct answer:- 3 . 67115 m / s 2 . Explanation: Only gravity and the spring force act on the block, so- k x + mg sin = ma Therefore: a = g sin - k x m = (9 . 8 m / s 2 ) sin22 - (302 N / m)(0 . 165566 m) 6 . 81 kg =- 3 . 67115 m / s 2 . 003 10.0 points A pinball machine launches a 44 g ball with a spring-driven plunger. The game board is inclined at 11 above the horizontal. Assume: The plungers mass and frictional effects are negligible. The acceleration of gravity is 9 . 8 m / s 2 ....
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HW 6 solution_pdf - ghei (mg42382) HW 6 opyrchal (11130) 1...

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