A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of a different metal and of the same length expands by 0.045 cm for the same rise in temperature. A third rod, also 30 cm long, is made up of pieces of each of the above metals joined end to end, and expands 0.065 cm when its temperature is raised also from 0°C to 100°C. Find the original length of each portion of the composite rod. Hint: Use the expansion formula, one equation for each type of rod and another equation for the composite rod.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of a different metal and of the same length expands by 0.045 cm for the same rise in temperature. A third rod, also 30 cm long, is made up of pieces of each of the above metals joined end to end, and expands 0.065 cm when its temperature is raised also from 0°C to 100°C. Find the original length of each portion of the composite rod. Hint: Use the expansion formula, one equation for each type of rod and another equation for the composite rod.
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