s11_mthsc208_hw03 - MthSc 208, Spring 2011 (Differential...

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Unformatted text preview: MthSc 208, Spring 2011 (Differential Equations) Dr. Matthew Macauley HW 3 Due Monday January 31st, 2010 (1) Suppose a cold beer at 40 F is placed into a warm room at 70 F. Suppose 10 minutes later, the temperature of the beer if 48 F. Use Newtons law of cooling to find the temperature 25 minutes after the beer was placed into the room. (2) A murder victim is discovered at midnight at the temperature of the body is recorded at 31 C. One hour later, the temperature of the body is 29 C. Assume that the surrounding air temperature remains constant at 21 C. Use Newtons law of cooling (the differential equation T = k ( A- T )) to calculate the victims time of death (when his body temperature was 37 C). (3) A parachutist of mass 60 kg free-falls from an airplane at an altitude of 5000 meters. He is subjected to an air resistance force proportional to his speed. Assume that the constant of proportionality is r = 10 kg/sec....
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This note was uploaded on 03/11/2012 for the course MTHSC 208 taught by Professor Staufeneger during the Spring '09 term at Clemson.

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