9. Physics Newton's Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began. This relationship is given by y = ae-kt + c, where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constan related to the cooling object. a. The initial temperature of a liquid is 160°F. When it is removed from the heat the temperature in the room is 76°F. For this object, k = 0.23. Find the temperature of the liquid after 15 minutes. b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffe in a 72°F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain. For Alex's cup, k = 0.34.

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9. Physics Newton's Law of Cooling expresses the relationship between the
temperature of a cooling object y and the time t elapsed since cooling began.
This relationship is given by y = ae-kt + c, where c is the temperature of the
medium surrounding the cooling object, a is the difference between the initial
temperature of the object and the surrounding temperature, and k is a constant
related to the cooling object.
a. The initial temperature of a liquid is 160°F. When it is removed from the heat,
the temperature in the room is 76°F. For this object, k = 0.23. Find the
temperature of the liquid after 15 minutes.
b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffee
in a 72°F room and waits 5 minutes before drinking, will his coffee be too hot
or too cold? Explain. For Alex's cup, k
0.34.
Transcribed Image Text:9. Physics Newton's Law of Cooling expresses the relationship between the temperature of a cooling object y and the time t elapsed since cooling began. This relationship is given by y = ae-kt + c, where c is the temperature of the medium surrounding the cooling object, a is the difference between the initial temperature of the object and the surrounding temperature, and k is a constant related to the cooling object. a. The initial temperature of a liquid is 160°F. When it is removed from the heat, the temperature in the room is 76°F. For this object, k = 0.23. Find the temperature of the liquid after 15 minutes. b. Alex likes his coffee at a temperature of 135°. If he pours a cup of 170°F coffee in a 72°F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain. For Alex's cup, k 0.34.
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