A force of 15 N will stretch a rubber band 10 cm (0.10 m). Assuming that Hooke's law applies, how far will an 18 -N force stretch the rubber band? How much work does it take to stretch the rubber band this far?

Question

Mathematics

Trystan Mcguire

4 December, 11:16

A force of 15 N will stretch a rubber band 10 cm (0.10 m). Assuming that Hooke's law applies, how far will an 18 -N force stretch the rubber band? How much work does it take to stretch the rubber band this far?

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Answers (1)

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Natalia Massey · Answer 1

Answer: a) extension = 0.12m, b) work done = 2.16 J

Step-by-step explanation: according to hooke's law, provided that elastic limit is kept constant force (f) is proportional to extension (e).

F = ke, k = F / e.

F1/e1 = F2/e2

F1 = 15 N, e1 = 0.10m, F2 = 18 N, e2 = ?

15/0.10 = 18/e2

e2 = 18 * 0.10 / 15

e2 = 1.8/15

e2 = 0.12m.

Work done at this extension = F2 * e2

Work done = 18 * 0.12 = 2.16 J