College Physics
College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 5, Problem 31PE

(a) The "lead" in pencils is a graphite composition with a Young's modulus of about

1 × 10 9 N/ m2. Calculate the change in length of the lead in an automatic pencil if you tap it straight into the pencil with a force of 4.0 N. The lead is 0.50 mm in diameter and 60 mm long. (b) Is the answer reasonable? That is, does it seem to be consistent with what you have observed when using pencils?

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Your task is to design a light‐weight tie of length L with a circular cross‐section of radius R. It must carry an axial force F, without stretching by more than δ. You will need to choose the material (with Young’s modulus E and density ρ) and the corresponding crosssection radius to suit your choice of material, i.e. R is a “free variable”,a) Show that the extension of the tie is given by δ = FL/AE, where A = πR2
The normal force of the ground on the foot can reach three times a runner's body weight when the foot strikes the pavement.  By what amount does the 52-cm-long femur of an 75 kg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2×10−4m2 and its Young'’s modulus is 1.6×1010N/m2. Express your answer to two significant figures and include the appropriate units.
A 16.7 cm long tendon is found to stretch 4.22 mm when a force of 15.8 N is applied to it. If the tendon is round and as an average diameter of 5.73 mm, calculate the Young's modulus of this tendon.

Chapter 5 Solutions

College Physics

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