According to Newton's Law of Cooling, if a body with temperature T 1 is placed in surroundings with temperature T 0, different from that of T 1, the body will either cool or warm to temperature T(t) after t minutes, where:

T(t) = T 0 + (T 1 - T 0)e kt

and k is a constant.

A cup of coffee with temperature 140°F is placed in a freezer with temperature 0°F. The constant k ≈ -0.0815. Use Newton's Law of Cooling to find the coffee's temperature, to the nearest degree Fahrenheit, after 15 minutes.

The temperature is about
degrees Fahrenheit.

Answers

Answer 1

We can substitute the given values into the equation for T, given the surrounding temperature T0 = 0, initial temperature T1 = 140, constant k = -0.0815, and time t = 15 minutes.

T = 0 + (140 - 0)e^(-0.0815*15) = 140e^(-1.2225) = 41.23°F


Related Questions

A halfback makes a turn on the football field. The halfback sweeps out a path that is a portion of a circle with a radius of 12-meters with a tangential velocity of 5 m/s. Determine acceleration of the halfback.

Answers

Answer:

The right answer is "15.072 m/s".

Explanation:

The given values are:

Radius,

= 12 m

Time,

= 5 m/s

As we know,

⇒ [tex]s=\frac{d}{t}[/tex]

On substituting the given values in the above formula, we get

⇒    [tex]=\frac{2 \pi(12)}{5}[/tex]

⇒    [tex]=\frac{2\times 3.14\times 12}{5}[/tex]

⇒    [tex]=\frac{75.36}{5}[/tex]

⇒    [tex]=15.072 \ m/s[/tex]

a lorry has a mass of 32000 kilograms. each tyre has an area of 400 cm squared in contact with the ground. calculate the pressure exerted on the ground if the lorry has 6 tyres​

Answers

Answer:

Your answer is 1306666.6667 Pascal

Use the drop-down menus to complete the sentences. Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a . A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a .

Answers

Answer:

vestigial structure

Homologous structure

Explanation:

Did the assignment.

Tetra fish that live in caves are blind and have small eyes that do not work. This is an example of a vestigial structure.

A harbour seal's flipper and a human hand have a very similar structure, but function differently. This is an example of a Homologous structure.

What is  vestigial structure?

Some organisms have elements that seem to be left over from an earlier ancestor but have no apparent purpose. For instance, because they are evolved from reptiles with legs, certain snakes have pelvic bones despite not having any. The human vermiform appendix is another instance of a structure that serves no purpose.

Vestigial structures are these inactive, purposeless structures. Other examples of vestigial structures are the wings of flightless animals like the ostrich, the leaves of some cacti, the remains of whale pelvic bones, and the eyes that are blind in cave mammals.

Learn more about vestigial structure here:

https://brainly.com/question/29208010

#SPJ5

he Big Bang Theory suggests....


a

The universe began in an instant.

b

The universe was born from clouds of dust and gas.

c

The single point containing the universe exploded and the universe stretched and expanded.

d

Gravity began to form stars and galaxies from clouds of dust and gas.

e

Both A and C.

f

Both B and C.

g

None of the above.

Answers

Answer:

C

Explanation:

To know more head to.

https://phys.org/news/2015-12-big-theory.html

Answer:

i think a and c

Explanation:

A 75kg soccer player runs rightward with a velocity of +1.5 m/s toward a 0.43 kg
soccer ball at rest on the grass. If the final speed of the soccer ball is +15 m/s,
what is the final speed of the soccer player?

Answers

Answer:

Right

Explanation:

75kg soccer player runs rightward with a velocity of +1.5 m/s toward a 0.43 kg soccer ball at rest on the grass. If the final speed of the soccer ball is +15 m/s, ...

100 POINTS + BRAINLIEST IF GOOD ANSWER!!!

What medium is the wave traveling through?

Answers

Answer:

ac=alternating current

Explanation:

It is what ac or alternating current looks like while traveling.

guys please helpp!!!!1

Answers

Answer:

Position A/Position E

[tex]K = E[/tex], [tex]U = 0[/tex]

Position B/Position D

[tex]K = (1-x)\cdot E[/tex], [tex]U = x\cdot E[/tex], for [tex]0 < x < 1[/tex]

Position C

[tex]K = 0[/tex], [tex]U = E[/tex]

Explanation:

Let suppose that ball-Earth system represents a conservative system. By Principle of Energy Conservation, total energy ([tex]E[/tex]) is the sum of gravitational potential energy ([tex]U[/tex]) and translational kinetic energy ([tex]K[/tex]), all measured in joules. In addition, gravitational potential energy is directly proportional to height ([tex]h[/tex]) and translational kinetic energy is directly proportional to the square of velocity.

Besides, gravitational potential energy is increased at the expense of translational kinetric energy. Then, relative amounts at each position are described below:

Position A/Position E

[tex]K = E[/tex], [tex]U = 0[/tex]

Position B/Position D

[tex]K = (1-x)\cdot E[/tex], [tex]U = x\cdot E[/tex], for [tex]0 < x < 1[/tex]

Position C

[tex]K = 0[/tex], [tex]U = E[/tex]

If an object free-falls for t seconds from rest to d distance, how far will the object fall from rest in twice the elapsed time?

Answers

Answer:

When the time of fall is doubled, the height of fall will be quadrupled

Explanation:

Given;

height of fall, h = d m

time of fall, t = t s

initial velocity of the object, u = 0 m/d

The height of fall of the object is calculated from the kinematic equation below;

[tex]h = ut + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\2h = gt^2\\\\g = \frac{2h}{t^2}[/tex]

where;

g is acceleration due to gravity, which is constant

if the time of fall is doubled, the height of fall is calculated as;

[tex]\frac{2h_1}{t_1^2} = \frac{2h_2}{t_2^2} \\\\\frac{h_1}{t_1^2} = \frac{h_2}{t_2^2}\\\\(Note: h_1 = d, \ and \ t_1 = t)\\\\h_2 = \frac{h_1t_2^2}{t_1^2} \\\\h_2 = \frac{(d)(2t_1)^2}{t_1^2} \\\\h_2 = \frac{(d)(2t)^2}{t^2}\\\\h_2 = \frac{(d)\times 4t^2}{t^2}\\\\h_2 = 4d[/tex]

Therefore, when the time of fall is doubled, the height of fall will be quadrupled

A6 cm object is 8 cm from a convex lens that has a focal length of 2.7 cm. The image is 4 cm from the lens. The height of the image is ?? cm.​

Answers

Answer:

7.8cm

Explanation:

Answer:

7.8

Explanation:

50 POINTS!! BRAINLEST

Answers

Answer:

The lines are parallel and the students data is 13

Explanation:

The amount of salt added

A 100 N force directed at 60 above the horizontal pulls a box 2 m horizontally across a floor. How much work was done?
A. 50 J
B. 20 J
C. 100 J
D. 200 J

Answers

Answer:

C. 100 J

Explanation:

If the 60 you wrote is the degree (60°)

Work done = forcexcos x distance

W= 100x cos 60 x2

W= 100 J

Answer:

100 J

Explanation:

Work done is the product of force and distance. The distance here is easy; it's just 2 m because it was pulled horizontally. The force, on the other hand, requires some more work, no puns intended!

We know the applied force is at an angle. Since work is parallel to the distance, the force used to calculate work must be parallel to the distance as well. This means we must use the horizontal component of the force. This, consequently, calls for the horizontal component of the angle.

Here, that horizontal component is the cosine of theta, cos θ, because the horizontal component must be adjacent to the angle. We know the angle in this case; θ is 60°. So, to find the component of the force parallel to the floor, we must multiply the total force by cos θ.

Here, θ = 60°, and the total force is 100 N. Therefore, the horizontal force equals 100 N × cos 60°. As for cos 60°, its value is 0.5. This means the horizontal force equals 100 N × cos 60° = 50 N.

From here, the work is that force, those 50 N, times the distance the box was pulled, 2 m. Therefore, work equals 50 N × 2 m = 50 N × m = 50 J.

In summary, the total work done is 50 J.

I hope you understand my explanation! Please have a great day!

4. What is the period of the microwaves in the above question?

Answers

Answer:

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately 365 days; it takes 365 days for the Earth to complete a cycle.

What was Orsted’s historic discovery?

Answers

Answer:

The electric current in a wire can deflect a compass needle if its magnetized.

Explanation:

Construct arguments based on evidence about the applications, benefits, and problems of nuclear energy as an alternative energy source.

Answers

Answer:

Explanation:

Clean Energy Source It generates more than 800 billion kilowatt hours of electricity each year and produces more than half of the nation's emissions-free electricity. This avoids more than 470 million metric tons of carbon each year, which is the equivalent of removing 100 million cars off of the road.

If I'm wrong I'm sorry

If I'm right thank you and (brainliest plz)

1.Energy is used when a force acts over a.....................
.................................................

2.All objects have the same weight have:

a)the same place on Earth
b)the same mass
c)the same volume
d)pull of gravity on them

Answers

Answer:

the same mass answer b) but i dont know first question

Which type of energy is the result when a drum is hit with a drumstick?
OA. electrical energy
OB. light energy
OC.
sound energy
OD.
all of these
Reset
Submit

Answers

Answer:

That  drummer has mechanical energy as he moves the drumsticks to hit the drums and cymbals. So I'm pretty sure it's OD. sound energy.

¯\_(ツ)_/¯¯

The best way to know if a force is applied on an abject is if the object:

A. Doesn’t move
B. moves
C. Distorts shape in some way
Other:

Answers

b _____________________

The puppy then goes home and is sitting on the couch when she sees her
chew toy. She accelerates towards the chew toy at 5 m/s2 and it takes
the puppy 10 s to reach the toy. What is the velocity of the puppy when
it reaches its toy?

Answers

Answer:

50m/s

Explanation:

Given parameters:

Acceleration  = 5m/s²

Time  = 10s

Unknown:

Final velocity of the puppy  = ?

Solution:

Acceleration is the rate of change of velocity with time taken. The puppy has an initial velocity of 0m/s.

 The formula is:

 Acceleration  = [tex]\frac{Final velocity - Initial velocity }{time}[/tex]  

         5  = [tex]\frac{Final velocity - 0 }{10}[/tex]  

               Final velocity  = 50m/s

What does a lighting bolt and getting shocked by a doorknob have in common?

Answers

They both are objects u can get chocked by

A 1.50 kg mass acclerates accross a smooth table at 15.0m/s. What is the net force?

How do you find net force?
I think its 20 points, and if there is more than one answer, will mark brainliest!

Answers

Answer:

We follow here the basics of problem-solving presented earlier in this text, but we emphasize specific strategies that are useful in applying Newton’s laws of motion. Once you identify the physical principles involved in the problem and determine that they include Newton’s laws of motion, you can apply these steps to find a solution. These techniques also reinforce concepts that are useful in many other areas of physics. Many problem-solving strategies are stated outright in the worked examples, so the following techniques should reinforce skills you have already begun to develop.

Explanation:

A large body of water with land all around it

Answers

Answer:

i think its a lake

Explanation:

Answer: What do you call a large body of water surrounded by land?

A lake is a large body of water surrounded by land on all sides.

Explanation:

he forearm pass will react the same whether it hits off your hands, wrists or forearms true or false

Answers

Answer:

False.

Explanation:

A forearm pass is a volleyball movement that involves hitting off the forearms in an underhand manner. To create a forearm stance you'd have to clasp your palm together in an overlapping manner and keep them outstretched away from your torso.

Skilled players are more when to use the wrists, the hands, or the forearms as they wield different strengths in passing the ball and are meant to be used at different scenarios.

The forearm pass is best used when you want to position the ball near the net so the setter can set it.

Cheers

A lamp consumes 1000J of ekectrical energy in 10s. Calculate its power.​

Answers

you do 1000 divide it by 10 which equals 100 W

name any one group one element in periodic table​

Answers

Explanation:

first line is the group one element all are group 1 elements

Why does sound propagate faster in solid bodies than in liquids and faster in liquids than in air?
PLEASE HELP

Answers

Answer:

see below

Explanation:

this is because particles in solids are packed very closely together, thus , the particles collide with each other frequently and thus transfer of energy is faster. however, particles in liquid are closely packed but not as close as in solid so the particles do not collide as frequently. thus, transfer of energy slower than in solid. furthermore, the particles in gas are spaced far apart from each other, thus the particles don't collide with each other frequently, thus transfer of energy is very slow in gas.

hope you get it,

please mark

Which of the cars above are traveling at the same velocity?

A) c and d

B) b,c,d and f

C) b,c and d

D) b and c

Answers

Answer:

b,c,d,and f are the car traveling at the sane velocity

In an experiment involving pendulums, you want to see how changing the mass of the bob affects the period (amount of time) of a pendulum swing. What would be your dependent variable?

Answers

Answer:

The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.

Explanation:

an aircraft landing on an air craft carrier is brought to a complete stop from an inital velocity of 215km/hr in 2.7 seconds. what is iys acceleration in m/s2​

Answers


u= 215 km/hr = 215 * 1000/ 3600 = aprx 60m/s
v=0
t=2.7sec
v= u - at
u= at
60/2.7 = 22.23 m/s^2



Hope it helps

2. David roller skates 15 miles in 75 minutes. What is his average speed in miles per hour?
1

Answers

I think the answer is 0.2

Based on information from the periodic table, what does this image represent?​

Answers

I believe it’s Beryllium
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