Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. LetH(t) be the temperature of the object being heated and S be the surrounding temperature. A hot cup of coffee, 170 degrees Fahrenheit, is placed in a 70 degree room. After 20 minutes the cup is 120 degrees. Write and solve the differential equation which describes the temperature of the coffee over time, where time is measured in hours. ○ H(t) = 70 + 30e¯ -2.079t ○ H(t) = 70-30e- ○ H(t) = 70 - 100e- ○ H(t) = 70 + 100e-2.079t ,-2.079t -2.079t

Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. LetH(t) be the temperature of the object being heated and S be the surrounding temperature. A hot cup of coffee, 170 degrees Fahrenheit, is placed in a 70 degree room. After 20 minutes the cup is 120 degrees. Write and solve the differential equation which describes the temperature of the coffee over time, where time is measured in hours. ○ H(t) = 70 + 30e¯ -2.079t ○ H(t) = 70-30e- ○ H(t) = 70 - 100e- ○ H(t) = 70 + 100e-2.079t ,-2.079t -2.079t

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 54AP

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