(my teacher had posted this question for our class to solve, but I'm not sure how i get this answer, I pasted the thing he sent us so it will be as specific as it can get.)
Thank you for any help I can get! -With love, Joe
This is a situation that happened to me on December 9th... no seriously... a real situation. Here it is.
I got some coffee and (yes I had a thermometer on him) and I measured it at 7:03 pm and it was 140 degrees. The waiter mentioned that it was boiling hot just a few
minutes ago and that he hurried it to me. Is the waiter lying? Should I give him an extra big tip? Maybe... but my question is... at what time did the coffee stop boiling and so how long did he take to bring it to me? (Please be specific! I need this to be down to the hour, minute, and second if possible.)
this requires that you solve k in the formula for Newton's Law of Cooling BEFORE you can figure out time, so this is a two-part problem. After you calculate k, THEN you can use it in the specific equation to calculate how long it took for him to bring me the coffee. Here are the specifics.
Room Temperature = 72 degrees
Coffee Temperature at 7:03 pm = 140 degrees
Coffee Temperature at 7:10 pm = 90 degrees (yes I did wait 10 minutes to measure it so I could calculate k)
Boiling point of water = 212 degrees
You will need Newton's Law of Cooling.
Thank you for any help I can get! -With love, Joe
This is a situation that happened to me on December 9th... no seriously... a real situation. Here it is.
I got some coffee and (yes I had a thermometer on him) and I measured it at 7:03 pm and it was 140 degrees. The waiter mentioned that it was boiling hot just a few
minutes ago and that he hurried it to me. Is the waiter lying? Should I give him an extra big tip? Maybe... but my question is... at what time did the coffee stop boiling and so how long did he take to bring it to me? (Please be specific! I need this to be down to the hour, minute, and second if possible.)
this requires that you solve k in the formula for Newton's Law of Cooling BEFORE you can figure out time, so this is a two-part problem. After you calculate k, THEN you can use it in the specific equation to calculate how long it took for him to bring me the coffee. Here are the specifics.
Room Temperature = 72 degrees
Coffee Temperature at 7:03 pm = 140 degrees
Coffee Temperature at 7:10 pm = 90 degrees (yes I did wait 10 minutes to measure it so I could calculate k)
Boiling point of water = 212 degrees
You will need Newton's Law of Cooling.