A hot drink is taken outside on a cold winter day when the air temperature is –6°C. According to a principle of physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after being taken outside is given by T(t) = -6 + Ae-kt. %3D where A and k are constants. (a) Suppose that the temperature of the drink is 86°C when it is taken outside. Find the value of the constant A. (b) In addition, suppose that 20 minutes later the drink is 30°C. Find the value of the constant k. (c) What will the temperature be after 32 minutes?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
A hot drink is taken outside on a cold winter day when the air temperature is –6°C. According to a principle of
physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after
being taken outside is given by
T(t) = -6 + Ae-kt.
%3D
where A and k are constants.
(a) Suppose that the temperature of the drink is 86°C when it is taken outside. Find the value of the constant A.
(b) In addition, suppose that 20 minutes later the drink is 30°C. Find the value of the constant k.
(c) What will the temperature be after 32 minutes?
Transcribed Image Text:A hot drink is taken outside on a cold winter day when the air temperature is –6°C. According to a principle of physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after being taken outside is given by T(t) = -6 + Ae-kt. %3D where A and k are constants. (a) Suppose that the temperature of the drink is 86°C when it is taken outside. Find the value of the constant A. (b) In addition, suppose that 20 minutes later the drink is 30°C. Find the value of the constant k. (c) What will the temperature be after 32 minutes?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 4 images

Blurred answer
Knowledge Booster
Energy transfer
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON