An object at an unknown temperature is placed in a room which is held at a constant temperature of 30° F. If after 10 minutes the temperature of the object is 0°F and after 20 minutes the temperature of the body is 15°F, what is the initial temperature of the object? Assume Newton's Law of Cooling which states that the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium. Choose the correct answer from among the given choices. A B 45 F -14 °F 0°F D 68°F E) -12°F F) -55°F G) -30°F (H) The problem is unsolvable as it lacks additional information.
An object at an unknown temperature is placed in a room which is held at a constant temperature of 30° F. If after 10 minutes the temperature of the object is 0°F and after 20 minutes the temperature of the body is 15°F, what is the initial temperature of the object? Assume Newton's Law of Cooling which states that the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium. Choose the correct answer from among the given choices. A B 45 F -14 °F 0°F D 68°F E) -12°F F) -55°F G) -30°F (H) The problem is unsolvable as it lacks additional information.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:An object at an unknown temperature is placed in a room which is held at a constant temperature of 30° F. If after 10 minutes the
temperature of the object is 0°F and after 20 minutes the temperature of the body is 15°F, what is the initial temperature of the
object? Assume Newton's Law of Cooling which states that the rate of change of the temperature of a body is proportional to the
temperature difference between the body and its surrounding medium.
Choose the correct answer from among the given choices.
A 45 F
B
-14°F
0°F
D 68°F
E -12°F
F) -55°F
G) -30°F
(H) The problem is unsolvable as it lacks additional information.
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