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Get Full Access to College Physics - 1 Edition - Chapter 5 - Problem 31pe
Get Full Access to College Physics - 1 Edition - Chapter 5 - Problem 31pe

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# Solved: (a) The “lead” in pencils is a graphite

ISBN: 9781938168000 42

## Solution for problem 31PE Chapter 5

College Physics | 1st Edition

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Problem 31PE

Problem 31PE

(a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1×109 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?

Step-by-Step Solution:

Solution to 31PE

Step 1 of 3

We need to find the change in length of the lead if we apply a force of  while pushing it into the pencil.

We have to use the concept of elasticity and linear strain to compute the change in length.

Given data:

Young’s modulus of elasticity,

Step 2 of 3

Step 3 of 3

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