PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 45P
To determine

ToShow: k=AYL and U=12FΔL if the wire is modeled as a spring.

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A weight W is suspended from a vertical spring whose modulus is “K” N/m. The weight is pulled down “S” m from its equilibrium and then released. Determine its velocity when it returns to its equilibrium position.
A wire of length L, Young’s modulus Y, and crosssectional area A is stretched elastically by an amount ΔL. By Hooke’s law, the restoring force is -k ΔL. (a) Show that k = YA/L. (b) Show that the work done in stretching the wire byan amount ΔL is W = 1/2 YA(ΔL)2/L .
Without fracture of the Femur, determine the maximum height, in cm, from which a 70-kg woman can jump onto just one of her heels, where bare foot and where keeping her leg straight. Assume that all of her stored gravitational potential energy is transferred to strain potential energy in one of her femurs. Take the following values: her femur length, / = 60 cm, her femur area, A = 3.5 cm2, Young's modulus for her bone, Y= 1.2 x1010 N/m2, and the rupture stress for her bone is omax = 7.0 x 10 N/m2. 12 cm 110cm 9.9cm 56 cm 6.2 cm 9.5 cm Previous Page Next Page Page 10 of 14
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