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commyctiitemview2assignmentProblemiD 78596696 h 08 HW Pa MCAT (R) Prep: Compress

ID: 1629080 • Letter: C

Question

commyctiitemview2assignmentProblemiD 78596696 h 08 HW Pa MCAT (R) Prep: Compression of human bone MCAT (R) Prep: Compression of human bone Part A What is his speed just before he hits the ground? While unrealistic, we will examine the forces on a leg when one fails from a height by approximating the leg as a unform cylinder of bone with a diameter of 2.3 cm and ignoring any shear forces Human bone can be compressed with approximately 17x N/ b loro treakrg Arran ith a mass of 100 kg als from a height of 4 Assume his acceleration once he hits O 89m/s | O 890m/ 800 m/s ground is constar:L For tese cakulations, 9-10 m/s2 63 m/s Part B With how much force can the leg be compressed before breaking? O 7.1 x 1o N 2.8 × 10, N 1.7×10" N Part C t he lands "stf legged" and his shoes only compress 1 cm, what is the magnitude of the average fore he esperiences as he siowe to a eat? 4 0-10 N 800 N 4000 N MacBook Pro 0

Explanation / Answer

(a)velocity=sqrt(2gh)=8.9 m/s

(b)force=pressure*area=1.7*10^8*pi*r^2=7.1*10^4 N

(c)a=average accleration=v^2/2S=3960.5 m/s^2

force=ma=4*10^5 N