wieyPU Cutnell, Physiks, 10a ient Chapter 0, Problom 6 GO Depending on ho r you
ID: 1791031 • Letter: W
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wieyPU Cutnell, Physiks, 10a ient Chapter 0, Problom 6 GO Depending on ho r you fall, rou can break bone esi y. T severity of the break depends o ho much energy thn bone ab,o in the occident, and to evaluat" thi, let us treat thbone 55 "nideal spr g. The no mum applied force of com pression t st ono man's thighbone ca er du ithout break ng i, 7,7 xO The minimum effactica cross-seational area cf the bona i x, its langth ia 0.57 m, and Young's modulus a y-.4x10 N. Tha mass of tha man is okg. He fali straight down nithout rotadng,strikes the ground sti-leggad on ans foat, and comas to a halt without rotating. To s that it is sasy to braak a thighbone when falling in this fashion, ind the maximum distance through which his center of gravity can fall wihout his breaking a bone. the tolerance i5 +/-2% Click if you would like to Show work for this quastion has iac Question Attempts:0 of 3 used AVE POR LATER MapleNet D 2v2Explanation / Answer
Young's modulus, E = Fl/eA
F = (EA/l)e
For a spring F = ke
k = EA/l
k =( 9.4x 109 x 4 x 10-4 )/ 0.57
k = 6.5965 x 106 N/m
F = ke
e = F/k
e = (7.7 x 104)/(6.5965 x 106)
e = 0.0116728 m
m*g*h = ½*k*x2
60*9.8*h = ½*(6.5965 x 106)*( 0.0116728)2
h = 0.76 m
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