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Unformatted text preview: madrid (tmm2353) HW 4-2 Antoniewicz (56445) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 8.0 points If a chain of 30 identical short springs linked end to end has a stiffness of 220 N / m, what is the stiffness of one short spring? Correct answer: 6600 N / m. Explanation: Springs in series have the effective stiffness K , where K is given in terms of the stiffnesses of the individual springs as follows: 1 /K = 1 /k 1 + 1 /k 2 + + 1 /k N . For identical springs, we have k = NK , where k is the stiffness of a single spring. Therefore k = (30)(220 N / m) = 6600 N / m . 002 8.0 points You place 35 identical springs side by side (in parallel) and connect them to a large, massive block. The stiffness of the 35-spring combi- nation is 20025 N / m. What is the stiffness of one of the individual springs? Correct answer: 572 . 143 N / m. Explanation: Springs in parallel have an effective stiffness K , where K is given in terms of the stiffnesses of the individual springs as follows: K = k 1 + k 2 + + k N . For identical springs, we have K = Nk , or k = K/N , where k is the stiffness of a single spring. Therefore, k = 20025 N / m 35 = 572 . 143 N / m . 003 (part 1 of 4) 3.0 points One mole of tungsten (6 . 02 10 23 atoms) has a mass of 184 g, and its density is 19 . 3 g / cm 3 , so the center-to-center distance between atoms is 2 . 51 10- 10 m. You have a long, thin bar of tungsten, 2 . 2 m long, with a square cross section, 0 . 13 cm on a side. You hang the rod vertically and attach a 420 kg mass to the bottom, and you observe that the bar becomes 1 . 32 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in tungsten....
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- Fall '08