According to Newton's Law of Cooling, if a body with temperature T, is placed in surroundings with temperature To, different from that of Tg, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = To +(T, -Tole - kt. A metal pan with temperature 155°F is placed in a freezer with temperature 0°F. After 15 minutes, the temperature of the pan is 46°F. Use Newton's Law of Cooling to find the pan's temperature after 20 minutes. After 20 minutes the pan will have a temperature of °F. (Round to the nearest integer.)
Expert Answer
The temperature of the pan after 20 minutes will be 28°F (rounded to the nearest integer).
According to Newton's Law of Cooling, a body with temperature T, when placed in surroundings with temperature To, which is different from that of Tg, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = To + (T, - Tole - kt. A metal pan with a temperature of 155°F is placed in a freezer with a temperature of 0°F. After 15 minutes, the temperature of the pan is 46°F. To determine the pan's temperature after 20 minutes, Newton's Law of Cooling can be used.
Therefore,
T(t) = To + (T, - Tole - kt
where t is the time taken, T(t) is the temperature of the body at time t, To is the temperature of the surroundings, T, is the initial temperature of the body, k is a constant, and Tole is the constant time elapsed.
To calculate the constant k,
46 = 0 + (155 - 0)e-k(15)
k = -0.0409
Now, we can determine the temperature after 20 minutes as,
T(20) = 0 + (155 - 0)e(-0.0409 × 20)
T(20) = 0 + (155 - 0)e(-0.818)
T(20) = 28°F
Therefore, the temperature of the pan after 20 minutes will be 28°F (rounded to the nearest integer).
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what is the global food supply
Answer:
The food supply chain comprises all the stages that food products go through, from production to consumption
Explanation:
Find the momentum of a 3.0 kg mass when it is stopped
Answer:
4,0kg it is stopped!!!!!
The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.
What is momentum?Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s². Momentum represents the mass of the moving body.
Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.
From the given,
mass of the object = 3 kg
the velocity of the object = 0 (when the body is stopped v=0)
the momentum, p = m×v
p = 3×0
= 0
The linear momentum of the object is zero.
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Một mặt phẳng vô hạn tích điện đều, mật độ σ = 4.10-9 C/cm2, đặt thẳng đứng trong không khí. Một quả cầu nhỏ có khối lượng 8 g, mang điện tích q = 10-8 C treo gần vào mặt phẳng, sao cho dây treo lúc đầu song song với mặt phẳng. Lấy g = 9,8m/s2. Khi cân bằng, dây treo quả cầu hợp với mặt phẳng 1 góc bằng bao nhiêu
Answer:
The angle is 18.3 degree.
Explanation:
A uniformly charged infinite plane, density σ = 4 x 10^-9 C/cm^2, is placed vertically in air. A small ball of mass 8 g, with charge q = 10^-8 C, hangs close to the plane, so that the string is initially parallel to the plane. Take g = 9.8m/s2. When in equilibrium, by what angle is the string hanging the ball to the plane?
surface charge density, σ = 4 x 10^-5 C/m^2
Charge, q = 10^-8 C
mass, m = 0.008 kg
Let the angle is A and the tension in the string is T.
The electric field due to a plane is
\(E =\frac{\varepsilon \sigma }{2\varepsilon o}\\\\E =\frac{4\times 10^{-5}}{2\times 8.85\times 10^{-12}}\\\\E = 2.26\times 10^6 V/m \\\)
Now equate the forces,
\(T sin A = q E.... (1)\\\\T cos A = m g ..... (2)\\\\divide (1) by (2)\\\\tan A = \frac{10^{-8}\times 2.6\times 10^6}{0.008\times 9.8}\\\\tan A = 0.33\\\\ A = 18.3 degree\)
Which of these can spread a pathogen?
Answer:
there is no image to go off of. If you could share that I would be happy to help.
Explanation:
Please share the image!
What is moving faster, a 450 kg horse with a momentum of 765 kgm/s or an object with a different mass and momentum?
Therefore, the answer to this question is that it cannot be determined without more information.
The answer to this question can be determined by comparing the velocity of the two objects.
The formula for momentum is:
momentum = mass × velocityWe can rearrange this formula to solve for velocity:
velocity = momentum / mass For the horseWe can plug in the given values:
velocity = 765 kgm/s / 450 kg velocity = 1.7 m/sFor the other object, we do not have enough information to determine its velocity. We would need to know its mass and momentum in order to calculate its velocity and compare it to the horse's velocity. Without this information, we cannot determine which object is moving faster. Therefore, the answer to this question is that it cannot be determined without more information.
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Which career may be a good fit for you if you enjoy planning meals and learning about proper nutrition?
A.
fitness instructor
B.
physical therapist
C.
medical researcher
D.
registered dietician
Answer:
D. Registered dietitian
Answer:
D
Explanation:
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation
Please select the best answer from the choices provided.
T
F
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation. This is a true statement.
What is fitness evaluation?Fitness evaluation is a type of test that is being carried out to assess the physical fitness of an individual in various areas such as:
Flexibility, Muscular strength and endurance, and Aerobic capacity.The events that can be used to evaluate fitness of an individual include the following:
Speed test,Flexibility testCardiovascular endurance test,Strength tests.To attain a maximum result, the individual that would be involved in the evaluation exercise should get acquainted with the test for a maximum positive outcome.
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the main problem with early attempts to listen for radio signals from space was
The main problem with early attempts to listen for radio signals from space was the interference from terrestrial radio signals and insufficient technology to filter out the background noise. This made it difficult to distinguish potential signals from space and accurately identify any extraterrestrial sources.
The main problem with early attempts to listen for radio signals from space was that they were limited by the technology available at the time. The equipment used was not sensitive enough to detect faint signals from faraway sources, and there was a lot of interference from sources on Earth. Additionally, there was limited knowledge about the types of signals that might be emitted from space, which made it difficult to know where and how to search for them. Despite these challenges, scientists continued to develop new technologies and techniques, eventually leading to the discovery of many new and exciting sources of radio signals from space.
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Mikel runs with a speed of 3 m/s for 45 seconds. How far does mikel run?
Answer:
d = s • t
3m/s • 45s and and the seconds will cancel out.
135 meters
Answer:
velocity=3m/s
time=45sec
displacement=?
Explanation:
we have
velocity=displacement/time
3m/s=displacement/45
displacement=3×45=135m
Mikel runs 135m far.
Solue the Selmultaneous equations:
3y +2x =5 and y-5x = 13
Answer:
x=-2 and y=3
Explanation:
Isolate y and then x to get: y=13+5(-2)
Simplify to get y=3 then plug it back in to get x=-2
We can check, 9+ (-4)=5 hope this helps
Choose the word that BEST completes the following sentence. Saturn’s rings have been assigned a letter, based on their location. The rings A and B are separated by: Titan The Cassini Division Stars An open space fairly equivalent to the Grand Canyon
Answer:
The correct answer would be Saturn's Cassini Division.
Explanation:
Read about it here.
https://caps.gsfc.nasa.gov/simpson/kingswood/rings/
Hope this helps! :)
if the current in a 120 mh m h coil changes steadily from 29.0 a a to 17.0 a a in 430 ms m s , what is the magnitude of the induced emf?
To calculate the magnitude of the induced emf in the given scenario, we can use Faraday's Law of electromagnetic induction, which states that the induced emf (ε) is equal to the negative rate of change of magnetic flux (ΔΦ) with respect to time (Δt):
ε = -ΔΦ/Δt
Since we're dealing with a coil, the magnetic flux (Φ) is given by the product of the number of turns (N), the inductance (L), and the current (I):
Φ = NLI
In this case, we're given the change in current (ΔI) and the time interval (Δt). The change in current is the difference between the final and initial current values:
ΔI = 17.0 A - 29.0 A = -12.0 A
Now, we need to calculate the change in magnetic flux (ΔΦ). We can do this by multiplying the inductance (L) by the change in current (ΔI):
ΔΦ = LΔI = 120 mH × (-12.0 A)
Note that 120 mH needs to be converted to Henries:
120 mH = 0.120 H
So, ΔΦ = 0.120 H × (-12.0 A) = -1.44 Wb (Weber)
Finally, we can find the magnitude of the induced emf (ε) using Faraday's Law:
ε = -ΔΦ/Δt = -(-1.44 Wb) / (430 ms)
We need to convert 430 ms to seconds:
430 ms = 0.430 s
ε = 1.44 Wb / 0.430 s ≈ 3.35 V
So, the magnitude of the induced emf is approximately 3.35 V.
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What would happen to a 100N gravitational force if both masses were doubled and the radius were
doubled
The force winds up unchanged, at 100 N.
How do you increase the amount of electrical energy produced from running water?
Answer:
To increase the volume of moving water, impoundments or dams are used to collect the water. An opening in the dam uses gravity to drop water down a pipe called a penstock. The moving water causes the turbine to spin, which causes magnets inside a generator to rotate and create electricity.
Explanation:
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What is the net force in this image?
a
8000 N right
b
5000 N right
c
4000 N right
d
4000 N left
e
5000 N left
f
8000 N left
Answer:
4000N left
Explanation:
6000N-1000N-1000N
6000N-2000N
8000N
how much time will it take for the sound of thunder to travel 1,550 meters if sound travels at a speed of 340 m/s
Answer:
4.55 seconds
Explanation:
Speed=distance / Time
So Time = Distance /speed
=1550/340
Free fall differs from terminal velocity, in that during free fall
A.
only air resistance is acting on an object
B.
only gravity is acting on an object
C.
air resistance and gravity are acting on an object with unequal magnitudes
D.
air resistance and gravity are acting on an object with equal magnitudes
Answer:
B
Explanation:
If the frequency of a wave is
20
H
z
, what is the period of the wave?
Name the three basic types of carburetors as defined by airflow through the carburetor.
The three basic types of carburetors as defined by airflow through the carburetor are: updraft, downdraft, and sidedraft carburetors.
Carburetors are devices used in internal combustion engines to mix air and fuel in the correct proportions for efficient combustion. The three basic types of carburetors are determined by the direction of airflow through the carburetor. Updraft carburetors have the air and fuel mixture entering the engine from below, while downdraft carburetors have the air and fuel mixture entering from above.
Sidedraft carburetors have the air and fuel mixture entering from the side. Each type of carburetor has its own advantages and disadvantages, and the choice of carburetor depends on the specific application and engine requirements.
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A bike is traveling at a speed of 15 m/s. The mass of the bike is 30 kg. What is the kinetic
energy of the bike?
Answer:
3375 JExplanation:
The kinetic energy of an object can be found by using the formula
\(k = \frac{1}{2} m {v}^{2} \\ \)
m is the mass
v is the velocity
From the question we have
\(k = \frac{1}{2} \times 30 \times {15}^{2} \\ = 15 \times {15}^{2} \\ = {15}^{3} \: \: \: \: \: \: \: \: \: \: \)
We have the final answer as
3375 JHope this helps you
a beam positioned on a fulcrum is 6 m long. it has a weight of 300 n attached to one end and a weight of 250 n attached to the other end. to establish mechanical equilibrium, the fulcrum must be placed how far away from the 250 n weight? (answer in m)
To establish mechanical equilibrium, the fulcrum must be placed 3.27 m away from the 250 N weight.
What is the position of the fulcrum?
The position of the fulcrum from the 250 N weight is determined by applying the principle of moment as shown below.
let the position of the fulcrum = d
The position of the 250 N from the fulcrum must be greater than the center of the beam since 300 N is heavier than 250 N.
----------------------------------Δ--------------------------------
↓ d ↓
250 N 300 N
the position of the 250 N weight from the fulcrum = d
the position of the 300 N weight from the fulcrum = 6 m - d
take moment about the pivot;
sum of the antic lock wise moment = sum of the clockwise moment
250 ( d ) = 300 ( 6 - d )
250d = 1,800 - 300d
550d = 1,800
d = 1,800 / 550
d = 3.27 m
Thus, the position of the fulcrum from 250 N depends on the length of the beam and the weight hanging at the other end.
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1. Define friction, and explain why it occurs.
Answer:
The simplest way to put it is that friction is a force in which there is a resistance between material elements when they slide against each other. There is no completely accurate answer as to why friction occurs, but scientists believe that it is because of tiny bumps on the surface of a material.
Compare the Moon phases from Feb 16 through Feb 20.
Answer:
The phases occur because the Sun lights different parts of the Moon as the Moon revolves around the Earth. That means the reason we see different phases of the Moon here on Earth is that we only see the parts of the Moon that are being lit up by the Sun.
List two objects here on Earth that are sources of radiant energy. How can you tell they emit radiant energy?
What is the converse of the statement "No pilots are mechanics"?
a. No mechanics are pilots.
b. Some mechanics are pilots.
c. All pilots are mechanics.
d. None of these
The converse of the statement "No pilots are mechanics" is No mechanics are pilots.
Hence, the correct option is A.
The converse of a statement switches the subject and the predicate and negates both. In the original statement, the subject is "pilots" and the predicate is "mechanics."
The original statement states that there is no overlap between pilots and mechanics. In the converse statement, the subject becomes "mechanics" and the predicate becomes "pilots," and it still states that there is no overlap between the two groups.
Therefore, The converse of the statement "No pilots are mechanics" is No mechanics are pilots.
Hence, the correct option is A.
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You connect a 12 V battery across the terminals leading to a pair of parallel plates (e.g. a configuration like what you had as your setup in the electric field mapping lab). The plates are each 36 cm long, and they are placed 24 cm apart. What will be the electric field strength midway between the plates
The electric field strength midway between the plates is 100 V/m.
Electric field strengthThe electric field strength experienced by the charge is the force per unit charge flowing in the field.
The electric field strength midway between the plates is calculated as follows;
E = V/d
where;
d is the distance between the platesMidway between the plates = 12 cm = 0.12 m
E = 12/0.12
E = 100 V/m
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two difference between far point and near point
Draw a ray diagram for a diverging lens that has a focal length of -10 cm when an object is placed 30 cm from the lens's surface. Calculate the position of the image and list the characteristics of the image.
Explanation:
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this answer will help for you
Many smoke detectors use americium-241to detect very small particulates in the air. This is done by using a stream of radioactive particles that can be stopped by the small smoke particulate. Which type of radiation is MOST LIKELY used in a smoke detector, as it can be stopped by something this small?
a
neutrons
b
beta particles
c
alpha particles
d
gamma radiation
Answer: C.) Alpha Particles
Explanation: Just took it <3