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
masha68 [24]
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 205 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 195 degrees in a room at 70 degrees, determine when the coffee reaches a temperature of 160 degrees.
Physics
1 answer:
Maksim231197 [3]3 years ago
8 0

Answer:

Tt = 70 + 135e^-0.031t

13 minutes

Explanation:

Given that :

Initial temperature, Ti = 205°

Temperature after 2.5 minutes = 195°

Temperature of room, Ts= 70

Using the relation :

Tt = Ts + Ce^-kt

Temperature after time, t

When freshly poured, t = 0

205 = 70 + Ce^-0k

205 = 70 + C

C = 205 - 70 = 135°

T after 2.5 minutes to find proportionality constant, k

Tt = Ts + Ce^-kt

195 = 70 + 135e^-2.5k

125 = 135e^-2.5k

125 / 135 = e^-2.5k

0.9259 = e^-2.5k

Take In of both sides :

−0.076989 = - 2.5k

k = −0.076989 / - 2.5

k = 0.031

Equation becomes :

Tt = 70 + 135e^-0.031t

t when Tt = 160

160 = 70 + 135e^-0.031k

90 = 135e^-0.031t

90/135 = e^-0.031t

0.6667 = e^-0.031t

In(0.6667) = - 0.031t

−0.405465 = - 0.031t

t = 0.405465/ 0.031

t = 13.071

t = 13 minutes

You might be interested in
The value of a scientific variable ____. A) can change
gregori [183]
The answer is A: can change
5 0
3 years ago
Read 2 more answers
Find the mass of an object if a 40 N of force causes the object to accelerate at 5.5 m/s/s
Murrr4er [49]

Answer:

<h3>The answer is 8 kg</h3>

Explanation:

The mass of the object can be found by using the formula

m =  \frac{f}{a}  \\

f is the force

a is the acceleration

From the question we have

m =  \frac{40}{5}  \\

We have the final answer as

<h3>8 kg</h3>

Hope this helps you

7 0
3 years ago
How do we know the sun rotate
scoundrel [369]

Answer:

From the movement of sunspots, Galileo discovered that sun rotate s on its own axis.

Explanation:

All the sunspots are traveling across the Sun's head. This movement is part of the Sun's general rotation of its axis. Observations also suggest that the Sun does not rotate like a solid body, but rotates differently because it is a gas. Actually the Sun is spinning faster at its equator than at at its poles. The Sun rotates once every 24 days at its equator, but only once every 35 days at its poles. We learn this by observing the movement of sunspots and other solar features pass through the Sun.

6 0
3 years ago
Read 2 more answers
Which of the following causes an object to move in a curved path?
Brrunno [24]

Answer:

A. centripetaal force

3 0
3 years ago
Read 2 more answers
The speed of light is now defined to be 2.99792458 10 m/s (a) Express the speed of light to three significant figures m/s (b) Ex
vazorg [7]

Answer:

a) 3.00×10⁸ m/s

b) 2.9979×10⁸ m/s

c) 2.997925×10⁸ m/s

Explanation:

299792458 m/s is the speed of light

Let us write this in scientific notation first

2.99792458×10⁸ m/s

a) In three significant figures

We need to round the number to the hundredths place

3.00×10⁸ m/s

b) In five significant figures

We need to round the number to the ten thousandths place

2.9979×10⁸ m/s

c) In seven significant figures

We need to round the number to the millionths place

2.997925×10⁸ m/s

8 0
3 years ago
Other questions:
  • What mathematical formula correctly expresses the relationship between force, mass and acceleration? A. m = F + a B. F = m / a C
    10·1 answer
  • Which of the following tests uses calipers to assess body composition? A. skinfold test B. sit-and-reach C. arm hang D. curl-up
    10·1 answer
  • 70.5
    11·1 answer
  • Volcanoes change the earth by (2 points) slow surface heating violent, fast eruptions rapid oxygen depletion keeping mountains f
    13·1 answer
  • Light of the same wavelength passes through two diffraction gratings. One grating has 4000 lines/cm, and the other one has 6000
    7·1 answer
  • The temperature of a body falls from 30°C to 20°C in 5 minutes. The air
    10·1 answer
  • Un automovil con la velocidad de 5 m/s acelera durante 12 s a 3 m/s2,¿cual es la velocis
    9·1 answer
  • When water waves meet, they can combine to form new waves. In constructive waves, a ________ amplitude wave is formed. In destru
    10·1 answer
  • PLSSS HELP 100 POINTS AND BRAINLIEST!!1!1!1!1!1!11!11!1!1!!!!!
    6·1 answer
  • 2 grenades have been dropped, one in the pool, one on land, where do you dive for cover?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!