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.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter10: Thermal Physics
Section: Chapter Questions
Problem 4P: Death Valley holds the record for the highest recorded temperature in the United States. On July 10,...
icon
Related questions
icon
Concept explainers
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Kinetic theory of gas
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College