**Determining Time of Death Using Newton's Law of Cooling**At crime scenes, the time of death is often determined by the temperature of the liver. Let $ H(t) $ be the temperature of the body, and $ S $ be the surrounding temperature.**Newton's Heating-Cooling Law** states that the rate of change in the temperature, $ H $, is proportional to the difference between the object and the surrounding temperature.Given:- Outside temperature ($ S $) is 75 degrees Fahrenheit- Normal body temperature is 98.6 degrees Fahrenheit- The body's temperature at $ t = 12 $ hours is $ H(12) = 80 $ degrees Fahrenheit- Initial body temperature at time $ t = 0 $ is $ H(0) = 76 $ degrees FahrenheitUsing Newton's cooling law to determine how long a body that has a temperature of 76 degrees Fahrenheit has been left outside:Note that we need two measurements as different masses will cool at different rates.**Multiple Choice Options:**- 23.42- 24.35- 25.694- 31.385

At crime scenes, the time of death is often determined by the temperature of the liver. Let (t) be the temperature the body, and be the surrounding temperature. 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. If it is 75 degrees outside and a living person is 98.6 degrees, use Newton's cooling law to determine how long a body that has temperature 76 degrees has been left outside if at time t = 12 hours, H(12) = 80. Note that we need two measurements as different masses will cool at different rates. O 23.42 O 24.35 O 25.694 O 31.385

At crime scenes, the time of death is often determined by the temperature of the liver. Let (t) be the temperature the body, and be the surrounding temperature. 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. If it is 75 degrees outside and a living person is 98.6 degrees, use Newton's cooling law to determine how long a body that has temperature 76 degrees has been left outside if at time t = 12 hours, H(12) = 80. Note that we need two measurements as different masses will cool at different rates. O 23.42 O 24.35 O 25.694 O 31.385

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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Question

**Determining Time of Death Using Newton's Law of Cooling**

At crime scenes, the time of death is often determined by the temperature of the liver. Let $ H(t) $ be the temperature of the body, and $ S $ be the surrounding temperature.

**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.

Given:
- Outside temperature ($ S $) is 75 degrees Fahrenheit
- Normal body temperature is 98.6 degrees Fahrenheit
- The body's temperature at $ t = 12 $ hours is $ H(12) = 80 $ degrees Fahrenheit
- Initial body temperature at time $ t = 0 $ is $ H(0) = 76 $ degrees Fahrenheit

Using Newton's cooling law to determine how long a body that has a temperature of 76 degrees Fahrenheit has been left outside:

Note that we need two measurements as different masses will cool at different rates.

**Multiple Choice Options:**
- 23.42
- 24.35
- 25.694
- 31.385

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