The mass of a car that drives with a velocity of 14 m/s when the kinetic energy of the car is 60,000 j is 214.29 kg.
There are a few essential points to remember while calculating kinetic energy, and one of them is the mass of the object. The formula for calculating the kinetic energy of an object is KE = 1/2 mv². The formula for calculating the mass of an object is m = 2 KE / v².KE
Given kinetic energy is 60,000 j and velocity is 14 m/s. Thus , 60,000 JV = 14 m/sm = 2 KE / v²m = (2 * 60,000) / 196m = 120,000 / 196m = 612.24 kgThus, the mass of the car is 214.29 kg.
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what average emf (in volts) is induced, given the plane of the coil is originally perpendicular to the earth’s field and is rotated to be parallel to the field in 14 ms?
Therefore, the average emf induced is N B A / 14ms. when the plane of the coil is originally perpendicular to the earth's field and is rotated to be parallel to the field in 14 ms.
The question states that a coil's plane is initially perpendicular to the earth's field. When the coil is turned so that it is parallel to the field, an average emf is induced. The objective is to determine the average emf (in volts) that is generated when the plane of the coil is rotated from being perpendicular to being parallel to the field in 14ms.
The coil's flux through the earth's field is calculated using Faraday's law. Faraday's law gives us the following expression;
emf = -N (dФ/dt)
Where, N is the number of turns in the coilФ is the magnetic flux associated with the coil , t is the time interval during which the flux changes.
The coil is perpendicular to the earth's field, which is the external magnetic field.
Therefore, the angle between the plane of the coil and the field lines is 90°, and there is no flux associated with the coil. Hence the emf induced is zero. When the coil is rotated to a parallel position, the angle between the coil plane and the field lines becomes 0°.
The maximum magnetic flux associated with the coil is now
Ф = B A (cos0°),
where B is the earth's magnetic field and A is the area of the coil. T
he average emf is then found by integrating the expression for emf over time, as follows:
∫(emf)dt = ∫ (-N (dФ/dt))dt∫(emf)dt = -N ∫(dФ/dt)dt
The negative sign results because the emf is induced in such a way that it opposes the motion that produced it.
From Faraday's law, we know that as the angle between the plane of the coil and the magnetic field lines changes, the emf induced is
dФ/dt = B A (d/dt)cosθ
where θ is the angle between the plane of the coil and the magnetic field.
Integrating from 0 to 14ms,
we have:
- emf = N B A (cos0° - cos90°) / t
- emf = N B A (1 - 0) / t
- emf = N B A / t= N B A / 14ms
To find the average emf, we need to divide this value by the time interval over which the coil rotates.
Therefore, average emf = emf / 14ms
average emf = N B A / 14ms
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Why are positive charges free to move around in gases and liquids but not in solids?
A pitcher requires about 3 seconds to throw a baseball if the ball leaves his hand with with a speed of 30 m/s what is its acceleration
Answer:
Explanation:
300m/s2
when passing an array byval to a ____ procedure, the original array may be changed by the procedure.
When passing an array by value to a "reference" procedure, the original array may be changed by the procedure.
In some programming languages, like C++, when an array is passed by value to a procedure that accepts a reference to an array, the procedure can modify the elements of the original array. This is because passing by reference allows the procedure to directly access and modify the memory locations of the original array.
On the other hand, when an array is passed by value to a "value" procedure, the procedure receives a copy of the array, and any modifications made within the procedure do not affect the original array.
Therefore, when passing an array by value to a reference procedure, it is important to be aware that the procedure has the potential to change the original array, while passing by value to a value procedure ensures that the original array remains unchanged.
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What will happen If you're In a car, and the drlver slams on
the brake?
A
You will stop moving.
B
You will continue moving forward.
C
You will gradually slow down.
Answer:B
Explanation:
Due to the inertia the body in motion will try to remain in the state of motion.
What is the measure of the energy transformed between two points in an electric circuit is:
resistance - voltage - electric current - electric force
Answer:· Relationship between Energy Transferred, Current, Voltage and Time. The potential difference or voltage, V across two points is defined as the energy, E dissipated or transferred by a coulomb of charge, Q that moves through the two points. Therefore, potential difference, Current is the rate of charge flow.
Explanation:
Relationship between Time, Current, Voltage, and Transferred Energy The energy, E, dissipated or transferred by a coulomb of charge, Q, which passes through the two places, is described as the potential difference or voltage, V across two points.
What is Electric circuit?An electric circuit, also known as an electrical circuit, is a conductor used to move current or electricity. To connect the source of power to the load, a conductive wire is utilized. Between the supply and the load, an ON/OFF switch and a fuse are also employed.
The rate of charge flow is therefore determined by potential difference and current.
A circuit is said to be open when an electrical line, electronic device, or switch is malfunctioning or when the switch is off. You can see in the diagram below that the bulb is not lighting because either the switch is turned off or an electrical line is faulty.
Therefore, Relationship between Time, Current, Voltage, and Transferred Energy The energy, E, dissipated or transferred by a coulomb of charge, Q, which passes through the two places, is described as the potential difference or voltage, V across two points.
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Set sampling period Ts=1/1000 (sec), and time axis 0 ~ 5 (sec).
Generate signals: x1(t)=10cos(ω1t); x2(t)=6sin(ω2t); x3(t)=cos(ω3t)+ 10sin(ω3t);
where ω1=50 Hz; ω2=95 Hz; ω3=120 Hz;
plot x1(t) within the maximum amplitude and time of 0~0.5 second,
Let y1(t)= x1(t)+ x2(t)+ x3(t), plot y1(t) within the maximum amplitude and time of 0~0.5 second.
ndicate the labels in x-axis and y-axis
The x-axis should be labeled with the time values in seconds from 0 to 0.5, and the y-axis should be labeled with the values of x1(t) ranging from -10 to 10, considering the maximum amplitude of the signal.
To plot the signal x1(t) within the time range of 0 to 0.5 seconds, we need to determine the corresponding values of x1(t) for that time range.
Given that x1(t) = 10cos(ω1t) with ω1 = 50 Hz, we can calculate the values of x1(t) using the formula.
For the time range of 0 to 0.5 seconds:
- At t = 0 seconds, x1(t) = 10cos(ω1 * 0) = 10cos(0) = 10 * 1 = 10.
- At t = 0.5 seconds, x1(t) = 10cos(ω1 * 0.5) = 10cos(25π) ≈ -7.071.
Plotting these values on the y-axis against the corresponding time values on the x-axis will give us the graph of x1(t) within the time range of 0 to 0.5 seconds.
The x-axis should be labeled with the time values in seconds from 0 to 0.5, and the y-axis should be labeled with the values of x1(t) ranging from -10 to 10, considering the maximum amplitude of the signal.
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8. True or False. Energy can move in waves.
Answer:
true
Explanation:
How fast does a 500.0 Hz sound wave travel in air if its wavelength is 0.68 m?
Hello,
QUESTION)✔ We have : λ = T x v ⇔ v = λ x f
v = 500 x 0,68 v = 340 m/sThe speed of this sound wave is therefore 340 m/s.
The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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Potential energy is a type of energy. Which of the following bricks has the most potential energy? a two-pound brick that is three feet off the ground a two-pound brick that is five feet off the ground a four-pound brick that is three feet off the ground a four-pound brick that is five feet off the ground
Answer:
Hey there!
Potential Energy = mgh, (mass x gravitational acceleration x height)
Given that the gravitational acceleration is constant, we just have Potential Energy = mh
a. 2(3)=6
b. 2(5)=10
c. 4(3)=12
d. 4(5)=20
The four-pound brick that is five feet off the ground is the brick with the most potential energy.
Let me know if this helps :)
Here's a riddle for you guys is it an orange because it taste's like an orange or is it an orange cuz it looks like an orange? and don't say both just think about it for a sec it confusing
Answer:
It tastes like an orange, I don't think that you can replicate taste as much as looks, I could be wrong though. But yes it is confusing.
Explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Please tell me if you need me to elaborate more or show work!! I hope this helped and have a nice day!
This is my physics homework
Answer:
Option B is the correct answer
Explanation:
Atomic number of Americium is 95 however in option B it is given as 94.
Thus, option B is the correct answer.
(02.04 LC) Which statement best describes the rate of dissolving? (2 points) Group of answer choices All substances dissolve at the same rate. All substances dissolve at a fast rate. The rate of dissolving may be fast or slow. Rates of dissolving are usually slow.
Answer:
C. The rate of dissolving may be fast or slow.
Explanation:
When a solute is added to a solvent, the rate of dissolving may be fast or slow. This is determined by the temperature of the solvent.
A high temperature of solvent can cause an increase in the rate of dissolving a solute or substance in it, while a low temperature of solvent causes a decrease in the rate of dissolving a solute or substance in a solvent.
Therefore, the rate of dissolving may be fast or slow.
A park ranger driving on a back country road suddenly sees a deer in his headlights 20
m ahead. The ranger, who is driving at 11.4 m/s, immediately applies the brakes and
slows down with an acceleration of 3.80 m/s2. How much distance is required for the
ranger's vehicle to come to rest? Only enter the number, not the units.
Answer:
17.1
Explanation:
The distance ahead, of the deer when it is sighted by the park ranger, d = 20 m
The initial speed with which the ranger was driving, u = 11.4 m/s
The acceleration rate with which the ranger slows down, a = (-)3.80 m/s² (For a vehicle slowing down, the acceleration is negative)
The distance required for the ranger to come to rest, s = Required
The kinematic equation of motion that can be used to find the distance the ranger's vehicle travels before coming to rest (the distance 's'), is given as follows;
v² = u² + 2·a·s
∴ s = (v² - u²)/(2·a)
Where;
v = The final velocity = 0 m/s (the vehicle comes to rest (stops))
Plugging in the values for 'v', 'u', and 'a', gives;
s = (0² - 11.4²)/(2 × -3.8) = 17.1
The distance the required for the ranger's vehicle to com to rest, s = 17.1 (meters).
A skateboarder starts up a 1.0 m high, 30 degree ramp at a speed of 7.0 m/s. The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down?
The skateboarder touches down 3.8 meters from the end of the ramp while wheels roll out without friction.
What does friction mean?Friction is the force that opposes motion between two surfaces that are in contact with each other. It arises because the microscopic roughness of the surfaces that are in contact, and the interlocking of their asperities causes a resistance to sliding or rolling motion.
Friction can be categorized into two types:
Static friction: This type of friction occurs when two surfaces are at rest relative to each other and a force is applied to start the motion. It opposes the motion until the force applied overcomes the resistance and the motion begins.Kinetic friction: This type of friction occurs when two surfaces are in motion relative to each other. Kinetic friction opposes the motion and reduces the speed of the object until it comes to rest.For example, it allows us to walk, run, and grip objects. However, friction can also cause problems, such as wearing down machinery and causing heat build-up.
Conservation of energy to be used to solve this problem.
At the top of the ramp, all the skateboarder's initial energy is in the form of kinetic energy, and at the bottom, all the energy is in the form of potential energy. Therefore:
\(1/2 * m * v^2 = m * g * h\)
where m is the mass of the skateboarder, v is the initial velocity, g is the acceleration due to gravity\((9.81 m/s^2)\), and h is the height of the ramp.
Solve this equation for the mass of the skateboarder:
\(m = (2 * h) / (g * sin^2(theta))\)
where theta is the angle of the ramp (30 degrees).
Plugging in the given values,
\(m = (2 * 1.0 m) / (9.81 m/s^2 * sin^2(30 degrees)) = 2.2 kg\)
Now that the mass of the skateboarder is known, use the kinematic equations to find the distance the skateboarder travels before touching down:
\(d = v^2 * sin(2*theta) / g\)
Plugging in the given values
\(d = 7.0 m/s * sin(2 * 30 degrees) / (9.81 m/s^2) = 3.8 m\)
Therefore, the skateboarder touches down 3.8 meters from the end of the ramp.
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How can you tell whether an atom within a compound takes on a positive or negative charge?
a)See how crystals of the compound respond to a magnetic field.
b)Test to see if the compound attracts or repels a thin stream of water.
c)Locate the position of the atom in the periodic table.
d)Use an electroscope.
The method for determining whether an atom within a compound takes on a positive or negative charge depends on the specific compound and the context of the situation.
None of the options listed are reliable or general methods for determining whether an atom within a compound takes on a positive or negative charge.
The charge on an atom within a compound can be determined by analyzing the number of electrons it has gained or lost in order to achieve a stable electron configuration. This can be done through various experimental methods, such as measuring the electrical conductivity of the compound or using techniques such as X-ray crystallography to determine the arrangement of atoms within the compound.
Additionally, the charge on an atom within a compound can often be predicted based on its position in the periodic table and its electronegativity relative to other atoms in the compound. However, this method is not foolproof and other factors, such as the presence of neighboring atoms, can also influence the charge distribution within a compound.
The electronegativity of an atom is influenced by several factors, including the number of protons in the nucleus, the distance between the nucleus and the valence electrons, and the shielding effect of inner electrons.
The electronegativity of an atom is expressed on a scale called the Pauling scale, which ranges from 0.7 for the element cesium to 4.0 for the element fluorine.
The greater the difference in electronegativity between two atoms in a covalent bond, the more polar the bond will be. A polar bond results from an unequal sharing of electrons between two atoms, where the more electronegative atom will pull the electrons closer to itself.
Electronegativity is an important concept in chemistry because it helps to explain the nature of chemical bonding and the reactivity of chemical compounds. For example, highly electronegative elements, such as fluorine and oxygen, are often involved in the formation of strong ionic and covalent bonds
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economic importance of plant resources
Answer:
People depend upon plants to satisfy such basic human needs as food, clothing, shelter, and health care. These needs are growing rapidly because of a growing world population, increasing incomes, and urbanization . Plants provide food directly, of course, and also feed livestock that is then consumed itself.
How much is the plane's acceleration while breaking if it takes 15 s for its velocity
is changing from 145 m/s to 75m/s?
A. 4.67 m/s
B. 3.4 m/s
C. 45 m/s
D. 23 m/s
Answer:
A. 4.67 m/s²
Explanation:
u = 145 m/s
v = 75 m/s
t = 15 s
a = v - u / t
= 145 - 75 / 15
= 4.67 m/s²
Hope this helped...
. in this activity, you will be looking for a relationship between the force on the cart and the acceleration of the cart. which variable do you need to keep constant during this experiment?
A push or pull on an object is a force. All of the forces operating on an object are added together to form a net force. When an object is subject to a net force, the object will change its speed in that direction. The acceleration of an object reveals how much it accelerates or decelerates.
We can determine what occurs with the acceleration and force while maintaining the mass constant.
A connection between the mass of the cart and its acceleration. Taking into consideration Newton's second law, which states that
force = mass × acceleration
As a result, the force will change if the acceleration does. Keeping the mass constant will allow us to determine how changing the acceleration will affect the force. Once the mass is kept constant, you can determine what will happen. Therefore, if we want to maintain the acceleration constant while also changing, we must alter the mass of the car. This means adding mass to the cart—whether it be in the form of mass blocks or larger carts—or otherwise altering its mass.
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Kilograms represented by the mass defect for oxygen-16: 2. 20 × 10 -28 kg What is the nuclear binding energy for oxygen-16? 3. 0 × 108 J 6. 60 × 10-20 J 1. 98 × 10 -11 J 3. 69 x 10-24 J.
The nuclear binding energy for oxygen-16 is 1.191 x 10^17 J or approximately 1.2 x 10^17 J. (Option 3)
The nuclear binding energy for oxygen-16 can be calculated using the mass defect and the formula E=mc² (where E is energy, m is mass, and c is the speed of light).
First, we need to convert the mass defect from kilograms to atomic mass units (amu). 1 amu is equal to 1.66 x 10^-27 kg.
2.20 x 10^-28 kg ÷ 1.66 x 10^-27 kg/amu = 0.1327 amu
Next, we multiply the mass defect by the speed of light squared:
0.1327 amu x (2.998 x 10^8 m/s)^2 = 1.191 x 10^17 J
Therefore, the nuclear binding energy for oxygen-16 is 1.191 x 10^17 J or approximately 1.2 x 10^17 J. Option 1 (9.8 x 10^-11 J), option 2 (3.0 x 10^8 J), and option 4 (3.69 x 10^-24 J) are not correct. Option 3 (1.191 x 10^17 J) is the correct answer.
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A ball is thrown straight upwards. at the very top of its flight the velocity of the ball is zero. what direction, if any, is the acceleration at this point?
The acceleration due to gravity is constant even at the top of its flight and its direction will be towards to ground (Downwards).
The horizontal distance of an object in projectile motion relative to its origin is referred to as its range. Only at the highest point of a thrown object's flight does vertical (y) speed equal zero. This component of velocity does not change over time since there is no horizontal acceleration in the absence of air resistance.
For many people, this is a counterintuitive idea. (Depending on the object, air resistance will result in a little or major drop in velocity. However, for the time being, this aspect is disregarded.) Gravitational acceleration must be included in a vertical motion, and as a result, the vertical velocity evolves with time.
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Taylor kicks a soccer ball with a force of 5 N. The soccer ball moves away from Taylor with a force _____.
greater than 5 N
less than 5 N
equal to 5 N
Answer:
greater then five
Explanation:
Answer:
Equal to 5
Explanation:
Newton's third law. Hit the baseball or kick the soccer ball with a small amount of force. The ball will not travel very far. Then, hit or kick the ball with a large amount of force and watch what happens. The ball will have an equal and opposite reaction to the amount of force it his hit with.
Write a hypothesis based on observations and scientific principles.
Answer:
The answer to your question is that A scientific hypothesis is the initial building block in the scientific method. Many describe it as an "educated guess," based on prior knowledge and observation
Explanation:
A hypothesis also includes an explanation of why the guess may be correct, according to National Science Teachers Association
Proving that, a hypothesis is based on a observations and scientific principals.
You r welcome and have a good day.
An example of a hypothesis based on observation and scientific principles is:
Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.A hypothesis is an informed prediction or a tentative statement about what you think that would occur in a scientific experiment as a result of experience from observations accepted by scientific rules and law.
A hypothesis is a testable statement obtained from the research question but questions cannot be tested directly, it is the proposed relationship between the variables that are tested.
An example of a hypothesis is:
Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.This specifies the direction of the hypothesis because one group is faster than the other.
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in hubble's classification, which type of galaxy has a small bulge and loose, widely spread, poorly defined spiral pattern?
The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.
Which type of galaxy that has a small bulge and a loose in Hubble's classification system?In Hubble's classification system, the type of galaxy that has a small bulge and a loose, widely spread, and poorly defined spiral pattern is classified as a "Scd" galaxy.
Hubble's classification scheme categorizes galaxies into different types based on their visual appearance, particularly the structure of their spiral arms, the size of their central bulge, and the overall shape of the galaxy. The scheme ranges from elliptical galaxies (labeled E) to spiral galaxies (labeled S), with further subdivisions denoted by additional letters and numbers.
Within the spiral galaxy category, the classification progresses from tightly wound and well-defined spiral arms (Sa type) to intermediate spiral arms (Sb type) and finally to loosely wound and poorly defined spiral arms (Sc type). The "d" in "Scd" signifies a small bulge, while the "c" indicates a relatively loose and poorly defined spiral pattern.
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The distance a toy car travels over time is shown in the graph.
Which table best shows the average speed of the toy car at different time intervals?
Answer:
A
Explanation:
0-2 1.0
2-4 0.5
4-6 0
The table of velocity of toy car is drawn below.
What is velocity ?
velocity is defined as rate of change of displacement of the object with respect to rate of change in time. In mathematics It is written as :
\(\begin{aligned}v= \frac{\Delta d}{\Delta t}=\frac{d_{2}-d{1}}{t_{2}-t_1}\end{aligned}\)
considering time interval from t=0 sec to t=2 sec the distance travelled by the toy car is d=0m to d=2m. therefore, the velocity will be :
\(\begin{aligned}v&=\frac{d_{2}-d{1}}{t_{2}-t_1}\\&=\frac{2-0}{2-0}\\&=1 \text{\:m/s}\end{aligned}\)
similarly for interval t = (2sec - 4sec ) and t = (4sec - 6sec) is also calculate and written in table below.
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arterial pressure in the pulmonary circulation is much lower than in the systemic circuit because of its proximaty to the heart (True/False)
False. The pulmonary circulation has lower arterial pressure compared to the systemic circuit due to lower resistance in the pulmonary blood vessels.
The proximity to the heart is not the determining factor for the pressure difference.
The pulmonary circulation is responsible for oxygenation and gas exchange in the lungs, which requires a lower pressure to facilitate efficient exchange of gases between the alveoli and the blood.
The pulmonary arteries receive oxygen-depleted blood from the right ventricle of the heart and distribute it to the lungs, where it gets oxygenated. The pulmonary veins then carry oxygenated blood back to the left atrium of the heart.
This lower pressure allows for optimal gas exchange without putting excessive strain on the delicate lung tissues.
In contrast, the systemic circulation supplies oxygenated blood to the body's organs and tissues, requiring higher pressure to overcome the resistance encountered in the systemic blood vessels.
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Wax melts when it is heated. Which most likely describes what is true of the result of this reaction? The bonding of the atoms is not the same before and after the change. The wax has the same density before and after the change. The same amount of wax exists before and after the change. The wax cannot be changed back into a solid.
Answer:
The same amount of wax exists before and after the change.
Explanation:
The melting of wax is a physical change and not a chemical change. During a physical change, no new substance is formed as chemical reactions do not take place. In a chemical change, however, new substances are formed because chemical reactions do take place.
In addition to that, both physical and chemical changes obey the law of conservation of matter which states that matter can neither be created nor destroyed but can be transformed from one form to another. It also entails that the mass of a substance present before a reaction should be equal to the mass obtained after the reaction.
In this case, the candle just simply changed its state from solid to liquid. This means that the total mass of the candle that existed as a solid will be the same as that of the liquid state.
Answer:
The answer is C). The same amount of wax exists before and after the change.
Explanation:
The reason for this is simple. If you put a block of wax in a pan, and put it on the scale, (lets say it weighs 2 pounds) it will way two pounds. If you stick it on a stove, and it melts, does it weigh the same amount? Yes, it does. This is because none of the wax left the pan. It just moved around. The only difference is that it is a liquid. It still has the same amount of wax.
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a 5.50 cm tall object is 24.0 cm from a concave mirror with f= 20.0 cm find the image height
The height of the image is 13.75 cm.
Given the height of the object, the distance of the object, and the focal length of the concave mirror, we are to find the height of the image.Let us first understand the sign convention:Focal length of the concave mirror is negative (f = -20 cm) as it is a concave mirror.Object distance (u) is positive (u = 24 cm) as the object is placed in front of the concave mirror. Object height (h) is positive (h = 5.50 cm) as it is an upright object.Image distance (v) and image height (h') can be either positive or negative depending on the nature of the image.
If the image is real, both v and h' are negative. If the image is virtual, both v and h' are positive.Image height formula is given by the equation,`1/v + 1/u = 1/f`Substituting the given values, we get,`1/v + 1/24 = 1/-20`On solving the above equation, we get,`v = -60 cm`Now, using the magnification formula,`m = -v/u`On substituting the given values, we get,`m = -(-60)/24``m = 2.5`.
Since the magnification is greater than 1, the image is larger than the object.Using the relation,`m = h'/h`We can find the image height by substituting the value of magnification and object height,`2.5 = h'/5.50`On solving the above equation, we get,`h' = 13.75 cm.
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capacity fade and aging models for electric batteries and optimal charging strategy for electric vehicles
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The complete question is:
What are capacity fade and aging models for electric batteries, and what is the optimal charging strategy for electric vehicles to minimize battery degradation?