Hey iamapineapple.
Hint: What is the functional model for the temperature as a function of time for Newtons law of cooling? (If you get this then you can setup your simultaneous equations and solve).
Two bodies have been found. The wife was found dead inside the heated home where the temperature was maintained at 22 degrees celsius. The husband dragged himself outside, where the outside temperature during the preceding day was 8 to 12 degrees celsius.
The doctor took the temperatures of the body as soon as they arrived:
Wife: 33 degrees celsius
Husband: 26 degrees celsius
Who died first? Develop a model to help decide this question.
I'm really unsure of what to do. If I set up equations for both of the bodies, I still have a variable k, and the varying outside temperature is really confusing me. Help super apprecitaed.
Hey iamapineapple.
Hint: What is the functional model for the temperature as a function of time for Newtons law of cooling? (If you get this then you can setup your simultaneous equations and solve).
Do you have information about the A constants for each equation (ie husband and wife)?
I'm not exactly sure you have enough information to solve this problem. You need information about the constants such that you can solve for t in both equations and since you have three constants per equation, it means you need six pieces of information (A, k, and s). In your question, you are given 4.
You need to either get new information or assume something to get a unique answer.
The assumption I made at the other site is that since both the husband and wife are composed of essentially the same material and are similarly shaped, then it is reasonable to assume the heat transfer coefficient is the same for both bodies. So then we may compare the quantity for both bodies.
Hey again :P
@chiro, Mark's been helping me out here: http:///questions-other-sites-52/no-...html#post27975
It's really good if you'd like to check it out.
Here is the link:
The name of the site is censored out here at MHF, so copy the above into your browser, and then remove the spaces.Code:http://math help boards.com/questions-other-sites-52/no-ones-question-yahoo-answers-regarding-newtons-law-cooling-6127.html