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5.3 Exercise 11

Avg difficulty 2.5

(a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1 × 10 9 N / m 2 1 \times \text{10}^{9} \text{N} / \text{m}^{2} . 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?

OpenStax College Physics 2e, 5.3 Elasticity: Stress and Strain, exercise 11

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Adapted from College Physics © 2022 Rice University. Licensed under CC BY 4.0. Sources: College Physics 2e, College Physics for AP® Courses 2e. Imported at revision f98d7a7.