NO.45 roppeda distance h: v =V vỏ + 2gh. Use conservation of mechanicalenergy to derive the same result.44. The nuchal ligament is aBIO cord-like structure that runsalong the back of the neckand supports much of thehead's weight in animals likehorses and cows. The liga-ment is extremely stiff forsmall stretches, but loosens asit stretches further, thus func-2.0-1.5-1.0-0.5-0.0+48.10 12 14Stretch (cm)FIGURE 7.17 Problem 44mal tioning as a biological shockabsorber. Figure 7.17 showsthe force-distance curve for a particular nuchal ligament;the curve can be modeled approximately by the expressionF(x) = 0.43xin cm. Find the energy stored in the ligament when it's beenstretched (a) 8.0 cm and (b) 16 cm.0.033x2 + 0.00086.x², with F in kN and x45. A 100-g block slides back and forth on a frictionless surface be-tween two springs, as shown in Fig. 7.18. The left-hand spring110 N/m and its maximum compression is 21 cm.has k =The right-hand spring hask = 240 N/m. Find (a) thewwud maximum compression ofthe right-hand spring and(b) the speed of the blockas it moves between theFIGURE 7.18 Problem 45springs.46. Automotive standards call for bumpers that sustain essentiallyno damage in a 4-km/h collision with a stationary object. As anautomotive engineer, you'd like to improve on that. You've de-veloped a spring-mounted bumper with effective spring constant1.6 MN/m. The springs can compress up to 6.0 cm before dam-age occurs. For a 1200-kg car, what do you claim as the maxi-mum collision speed?Force (kN)

Answered: Image /qna-images/answer/38b3ca3f-2135-456a-a94e-de02585df1cb.jpg

45. A 100-g block slides back and forth on a frictionless surface be- tween two springs, as shown in Fig. 7.18. The left-hand spring 110 N/m and its maximum compression is 21 cm. mon has k The right-hand spring has 240 N/m. Find (a) the maximum compression of the right-hand spring and (b) the speed of the block as it moves between the springs. | k = Mww FIGURE 7.18 Problem 45

45. A 100-g block slides back and forth on a frictionless surface be- tween two springs, as shown in Fig. 7.18. The left-hand spring 110 N/m and its maximum compression is 21 cm. mon has k The right-hand spring has 240 N/m. Find (a) the maximum compression of the right-hand spring and (b) the speed of the block as it moves between the springs. | k = Mww FIGURE 7.18 Problem 45

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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Problem 4: Speed deamplifier. In the figure above on the right, block 1 of mass m1 slides along an x-axis on a frictionless floor at speed 4 m/sec.Then it undergoes a one-dimensional elastic collision with stationary block 2 of mass m2 = 2m1. Next, block 2 undergoes a one-dimensional elastic collision with stationary block 3 of mass mz = 4m1. What then is the speed of block 3? Answer: 16 m/sec or 1.78 m/sec.