Newton's Law of Cooling says that the rate at which a body cools is proportional to the differnce C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)=T0+Ce-kt, where C and k are constants.A pot of coffee with initial tempature of 100°C is set down in a room with a tempature of 20°C.The coffee cools to 60°C after 1 hour. A)Write an equation to model the data. B)Find the tempature after half an hour. C)How long will it take for the coffee to cool at 50°C

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Newton's Law of Cooling says that the rate at which a body cools is proportional to the differnce C in temperature between the body and the environment around it. The temperature f(t) of the body at time t in hours after being introduced into an environment having constant temperature T0 is f(t)=T0+Ce-kt, where C and k are constants.A pot of coffee with initial tempature of 100°C is set down in a room with a tempature of 20°C.The coffee cools to 60°C after 1 hour.

A)Write an equation to model the data.

B)Find the tempature after half an hour.

C)How long will it take for the coffee to cool at 50°C

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