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Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 13e
Get Full Access to University Physics - 13 Edition - Chapter 17 - Problem 13e

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# A U.S. penny has a diameter of 1.9000 cm at 20.0o C. The ISBN: 9780321675460 31

## Solution for problem 13E Chapter 17

University Physics | 13th Edition

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Problem 13E

A U.S. penny has a diameter of 1.9000 cm at 20.0o C. The coin is made of a metal alloy (mostly zinc) for which the coefficient of linear expansion is 2.6 X 10-5 K-1. What would its diameter be on a hot day in Death Valley (48.0°C)? On a cold night in the mountains of Greenland (– 53o C)?

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Solution 13E Step1 : Coefficient of linear expansion of zinc is = 2.6 × 10 K 5 1 Diameter of penny L = 1.9000 cm 0 Temperature T = 20.0 C Change in temperature on hot day T = ( 20 C 48 C) = 28 C 0 0 1 0 0 0 Change in temperature on cool day T = ( 20 2 ( 53 C)) = 73 C After contraction, the final length is given by L= L(1 T) Case (1) On hot day L = L(1 T ) 1 5 1 0 Substitute L = 1.9000 cm = 2.6 × 10 K and T = 1 28 C 1.9000cm = L(1 2.6 × 10 K 5 1 × 28 C) 1.9000cm L = (12.6×10 K ×28 C) L = 1.9000cm 1.000728 L = 1.8986 cm 0 Thus we have diameter at temperature 48 C will be 1.8986 cm Case (2) On hot day L L(1 T ) 2 5 1 0 Substitute L = 1.9000 cm = 2.6 × 10 K and T = 23 C 1.9000cm = L(1 2.6 × 10 K 5 1 × 73 C) 1.9000cm L = 5 1 0 (12.6×10 K ×73 C) L = 1.9000cm 0.998102 L = 1.9036 cm 0 Thus we have diameter at temperature 53 C will be 1.9036 cm

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 13E from chapter: 17 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: diameter, its, coin, Cold, day. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A U.S. penny has a diameter of 1.9000 cm at 20.0o C. The coin is made of a metal alloy (mostly zinc) for which the coefficient of linear expansion is 2.6 X 10-5 K-1. What would its diameter be on a hot day in Death Valley (48.0°C)? On a cold night in the mountains of Greenland (– 53o C)?” is broken down into a number of easy to follow steps, and 59 words. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 13E from 17 chapter was answered, more than 1080 students have viewed the full step-by-step answer.

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