1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ghella [55]
3 years ago
14

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

mperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 185 degrees Fahrenheit when freshly poured, and 3 minutes later has cooled to 172 degrees in a room at 78 degrees, determine when the coffee reaches a temperature of 147 degrees.
Physics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

6.77 minutes

Explanation:

172 degree - 78 degree = (185 degree - 78 degree)e−2 k

=> 94 = 107

e−2 k => 94 ÷ 107

k => ln (94÷107) / 2

147 - 78 = (185 - 78)e ^[ln (94÷107) / 2]

=> 69 = 107 e^ [ln (94÷107) / 2]

e^[ln (94÷107) / 2] =69 ÷ 107

=> t = [ln (69 ÷ 107)] ÷ [ln (94÷107) / 2]

t=> -0.4387 ÷ -0.0648

t => 6.77 minutes.

Therefore, the final answer to the question is 6.77 minutes.

You might be interested in
A 150 kg safe on frictionless casters is being raised at 1.20m to the bed of a truck using planks 4m long. The force needed to p
Vesnalui [34]
The only thing you need to know in order to solve this task is that <span>plank length (which is force x), should equal the increase in potential energy, so what we have now : (mass)* g * (height).
It has to look like that:  </span>
<span>F * 3.0 = 150 x 9.81 x 1.20 
Then solve for F, the result should be in newtones = 588N

Do hope it makes sense.</span>
3 0
3 years ago
CAN YOU PLS CHECK IF ITS CORRECT I'LL MARK YOU BRAINLIST
Alexus [3.1K]

i think it looks good

yea it correct

BTW yw if it's right

5 0
3 years ago
Read 2 more answers
A balloon rubbed against denim gains a charge of −7.0 µc. what is the electric force between the balloon and the denim when the
zubka84 [21]
The solution for this problem is computed by through this formula, F = kQq / d²Plugging in the given values above, we can now compute for the answer.
F = 8.98755e9N·m²/C² * -(7e-6C)² / (0.03m)² = -489N, the negative sign denotes attraction.
4 0
3 years ago
In which of these cases is a waiter doing work on the object
Gnom [1K]
Section 2 is right,, i think. good luck
8 0
3 years ago
A barge floating in fresh water (rho = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A = 550 m2 and heigh
lapo4ka [179]

Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.

Write me here and I will give you my phone number - *pofsex.com*

My nickname - Lovely

8 0
3 years ago
Other questions:
  • Which statements accurately describe Earth’s magnetic field? Check all that apply. The magnetic field lines flow from Earth’s ge
    10·2 answers
  • A toaster is plugged into a 132 volt household circuit it draws the amps of current If you use a toaster 2 hours a week how much
    13·1 answer
  • Two or more different monomers will link to form a
    8·1 answer
  • HELP!!! HURRY DUE BY 4:30!!!
    7·2 answers
  • With the same block-spring system from above, imagine doubling the displacement of the block to start the motion. By what factor
    7·1 answer
  • The law of conservation of mass is important in ecology because _________.
    5·1 answer
  • The movement of the liquid in a thermometer shows changes in temperature. An increase in temperature indicates the molecules in
    15·1 answer
  • QUESTION 2 DOK 3 A Thompson's gazelle has a maximum acceleration of 4.5 m/s2 At this acceleration, how much time is required for
    10·1 answer
  • • What value is used to identify each element in the periodic table?​
    15·1 answer
  • What are the types of realistic fiction?.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!