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Page 138 Practice Problem 5.15: Suppose you lay a thin, lightweight sheet of plyw that your weight is spread over all 800 spring co

Page 138 Practice Problem 5.15: Suppose you lay a thin, lightweight sheet of plyw that your weight is spread over all 800 spring co

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Page 138 Practice Problem 5.15: Suppose you lay a thin, lightweight sheet of plywood on top of the mattress, so that your weight is spread over all 800 spring compress? Answer: 0.65cm.
Transcribed Image Text:Page 138 Practice Problem 5.15: Suppose you lay a thin, lightweight sheet of plywood on top of the mattress, so that your weight is spread over all 800 spring compress? Answer: 0.65cm.
► FIGURE 5.22 Weighing a fish. E 12.0 N (a) The scale stretched by a known weight SOLUTION SET UP You are the object in equilibrium, so start with a free-body diagram of yourself (Figure 5.23). Observe that the spring forces are additive, in the sense that the total upward force they exert on your body is 200 times the force of each individual spring. Your body is in equilibrium under the action of the total spring force and your weight. m = 1.50 kg SOLVE For equilibrium, the total upward force of all the supporting springs must be 800 N, so (200)k(2.6 x 10-2 m) = 800 N, and k = 154 N/m = 1.54 N/cm. w = mg (b) The scale stretched by a known mass EXAMPLE 5.15 An innerspring mattress You have just bought an innerspring mattress that contains coil springs in a rectangular array 20 coils wide and 40 coils long. You estimate that when you lie on the mattress, your weight is supported by about 200 springs (about one-fourth of the total number of springs in the mattress). You observe that the springs compress about 2.6 cm when you lie on the mattress. Assuming that your weight of 800 N is supported equally by 200 springs, find the force constant of each spring. (c) Free-body diagram for the fish Tor Fspr W = 800 N Video Tutor Solutio A FIGURE 5.23 Free-body diagram for you on the mattress. belwi a dif the r wire was fram CONTINUED ele tic ro m
Transcribed Image Text:► FIGURE 5.22 Weighing a fish. E 12.0 N (a) The scale stretched by a known weight SOLUTION SET UP You are the object in equilibrium, so start with a free-body diagram of yourself (Figure 5.23). Observe that the spring forces are additive, in the sense that the total upward force they exert on your body is 200 times the force of each individual spring. Your body is in equilibrium under the action of the total spring force and your weight. m = 1.50 kg SOLVE For equilibrium, the total upward force of all the supporting springs must be 800 N, so (200)k(2.6 x 10-2 m) = 800 N, and k = 154 N/m = 1.54 N/cm. w = mg (b) The scale stretched by a known mass EXAMPLE 5.15 An innerspring mattress You have just bought an innerspring mattress that contains coil springs in a rectangular array 20 coils wide and 40 coils long. You estimate that when you lie on the mattress, your weight is supported by about 200 springs (about one-fourth of the total number of springs in the mattress). You observe that the springs compress about 2.6 cm when you lie on the mattress. Assuming that your weight of 800 N is supported equally by 200 springs, find the force constant of each spring. (c) Free-body diagram for the fish Tor Fspr W = 800 N Video Tutor Solutio A FIGURE 5.23 Free-body diagram for you on the mattress. belwi a dif the r wire was fram CONTINUED ele tic ro m
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