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While unrealistic, we will examine the forces on a leg when one falls from a height...

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Physics

While unrealistic, we will examine the forces on a legwhen one falls from a height by approximating the leg as a uniformcylinder of bone with a diameter of 2.3 cm andignoring any shear forces. Human bone can be compressed withapproximately 1.7 × 108 N/m2 beforebreaking. A man with a mass of 80 kg falls from aheight of 4 m. Assume his acceleration once he hitsthe ground is constant. For these calculations, g =10 m/s2.

Part A


What is his speed just before he hits theground?


Part B


With how much force can the \"leg\" be compressed beforebreaking?


Part C


If he lands \"stiff legged\" and his shoes only compress1 cm, what is the magnitude of the average force heexperiences as he slows to a rest?


Part D


If he bends his legs as he lands, he can increase thedistance over which he slows down to 50 cm. Whatwould be the average force he experiences in thisscenario?


Part E


Dyne is also a unit of force and 1 Dyn =10−5 N. What is the maximum a bone can be compressedin Dyn/cm2?


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