The human circulatory system is closed-that is, the blood pumped out of the left ventricle of the heart into the arteries is constrained to a series of continuous, branching vessels as it passes through the capillaries and then into the veins as it returns to the heart. The blood in each of the heart’s four chambers comes briefly to rest before it is ejected by contraction of the heart muscle. If the aorta (diameter dad a) branches into two equal-sized arteries with a combined area equal to that of the aorta, what is the diameter of one of the branches? (a) da−−√ d a ; (b) da/2–√d a / 2 ; (c) 2da2d a ; (d) da/2d a /2.

Answers

Answer 1

The question is missing parts. The complete question is here.

The human circulatory system is closed, that is, the blood pumped out of the left ventricle of the heart into the arteries is constrained to a series of continuoous, branching vessels as it passes through the capillaries and then into the veins as it returns to the heart. The blood in each of the heart's four chambers comes briefly to rest before it is ejected by cotraction of the heart muscle. If the aorta (diameter [tex]d_{a}[/tex]) branches into two equal-sized arteries with a combined area equal to that of the aorta, what is the diameter of one of the branches?

(a) [tex]\sqrt{d_{a}}[/tex]

(b) [tex]\frac{d_{a}}{\sqrt{2} }[/tex]

(c) [tex]2d_{a}[/tex]

(d) [tex]\frac{d_{a}}{2}[/tex]

Answer: (b) [tex]\frac{d_{a}}{\sqrt{2} }[/tex]

Explanation: The cross-sectional area of a vessel is a circle. So area is:

[tex]A=\pi.r^{2}[/tex]

Radius is half of a diameter, i.e.:

[tex]r=\frac{d}{2}[/tex]

Suppose [tex]d_{b}[/tex] is diameter of the branches, radius of one the branches is:

[tex]r_{b}=\frac{d_{b}}{2}[/tex]

Both branches are equal sized, which means, both have the same radius. So, combined area of both branches is:

[tex]A_{b}=\pi\frac{d_{b}^{2}}{4} +\pi\frac{d_{b}^{2}}{4}[/tex]

[tex]A_{b}=2\frac{d_{b}^{2}}{4}[/tex]

Area of aorta is

[tex]A_{a}=\pi.(\frac{d_{a}}{2})^{2}[/tex]

[tex]A_{a}=\pi.\frac{d_{a}^{2}}{4}[/tex]

Area of aorta is equal the combined area of the branches, then:

[tex]2\pi\frac{d_{b}^{2}}{4}= \pi\frac{d_{a}^{2}}{4}[/tex]

Rearraging:

[tex]d_{b}^{2}=\frac{d_{a}^{2}}{2}[/tex]

[tex]d_{b}=\frac{d_{a}}{\sqrt{2} }[/tex]

The diameter of one of the branches is [tex]\frac{d_{a}}{\sqrt{2}}[/tex].


Related Questions

Why after a certain time bouncing a ball does it stop?​

Answers

Answer:

If you define "bouncing" as leaving the ground for any amount of time, the ball stops bouncing when the elastic energy stored in the compression phase of the bounce is not enough to overcome the weight of the ball. ... Some energy is dissipated in the compression and decompression phases.

Explanation:

Which is faster +25 m/s or -250 m/s

Answers

Answer: +25 m/s

25 is a positive but if you add a negative sign, it decreases the number that you put the negative before

Hope this helps :)

100 POINTS HELP!!!!!!!!!!!!!

Answers

Answer:

it is whatever the temperature is at 5(I cant seem to see it clearly)

Explanation:

That’s a terrible question... although I think the question is meant to ask what is the “boiling point” which is 100 degrees.

Vaporisation takes place at all temperatures above room temperature ( from 20 to 100 degrees)

A car traveling from rest to a velocity of 7.0 m/s accelerates uniformly at the rate of 0.80 m/s2. What is its tr. 31
time?

Answers

Answer:

54mph

Explanation:

Answer and i will give you branilest

Answers

Answer:

nice cool math and jim jake jr as a baby and just jim jake baby and nice pfp d00d XD

Explanation:

A truck is parked at the bottom of a hill it moves from the bottom of the hill and parks at the top compared to when it was parked at the bottom of the hill at its new position in the truck now has

A. more kinetic energy
B. more potential energy
C. Less kinetic energy
D. less potential energy

Answers

More potential energy
Give her the brainliest!

3. When two things are the same temperature:

A. They have the same number of molecules

B. Their molecules stop moving

C. Their molecules move at the same average speed

D. Heat transfer between the two things stops​

Answers

The answer is definitely C.) their molecules move at the same average speed

Answer: D.  Heat transfer between the two things stops​.

Which table shows the correct role of each organism in the food chain below?
Algae → Shrimp → Artic Cod → Ringed Seals Polar Bears

Answers

Answer:

it is algae- shrimp- artic cod-ringed seals- polar bears

Explanation:

you had it right

A truck slows from a velocity of 34 m/s to a stop in 50 m. What was the
truck's acceleration? *

Answers

The acceleration/deceleration of the truck is 11.56 m/s^2

Velocity and acceleration

Velocity is the rate of change of displacement of a body.

Velocity = change in displacement/ time

Acceleration is the rate of change of velocity with time.

Acceleration = change in velocity/ time.

The acceleration, velocity and distance travelled of a body is related by the equation below:

v^2 = u^2 + 2as

where v is the initial velocity

u is the final velocity

a is the acceleration, and

s is the distance travelled

From the data provided:

v = 0

u = 34 m/s

s = 50 m

a = ?

making a subject of the formula

a = -u^2/2s

a = - 34^2 / 2 × 50

a = -11.56 m/s^2

Therefore, the acceleration/deceleration of the truck is 11.56 m/s^2

Learn more about velocity and acceleration at: https://brainly.com/question/742413

I will give you branilest

Describe a senario that demonstartes Newtons 3rd law. Include the terms action and reaction.

Answers

Answer:

Explanation:

if you bounce a tennis ball, it will come back up as an equal reaction to your action (dropping it). there is an equal but opposite reaction in this scenario, demonstrating newton's third law.

Answer:

when u jump in the air and hit the ground the ground applies the same force back which applies a opposite force which causes u to propel into the air

Explanation:

hope this helped :)

Which is one property of coal that makes it ideal for use in a power plant?
It burns easily.
It makes ash.
It is renewable.
It contains mercury.

Answers

Answer:

It burns easily & It produces a lot of energy

Explanation:

Coal burns easily and thus is ideal for use in a power plant.  

• To generate electric power in the United States, the main fuel used is coal.  

• It is used as it is burned easily and thus producing enormous amount of energy.  

• In the power plants, the lignite, bituminous coal, or subbituminous coal is burned.  

• The heat generated by the burning of the coal is used to transform water into high pressure steam that mediates a turbine, which generates electricity.  

• About 23 percent of the electricity in the United States is produced by the burning of coal.  

Thus, the correct answer is that coal burns easily.

To know more about:

https://brainly.com/question/3715778

If a car moves at a velocity of 1.45 x102 m/s for 1.8 x103
seconds. How far does the car go?

Answers

Answer:

The answer is

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question

velocity = 1.45 × 10² m/s

time = 1.8 × 10³ s

We have

distance = 1.45 × 10² × 1.8 × 10³

We have the final answer as

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Hope this helps you

NO ONE WILL HELP, PLEASE PLEASE HELP, I HAVE AN HOUR TO GET 4 PAGES DONE! Find the average speed of a marble that takes 6 seconds to roll 30 m across a gymnasium floor.

Answers


distance
speed = — ————
time
s= 30m
———
6s
the average speed of the marble is 5s/m

Question 10 of 25
In recent years, assistive technologies have been developed to give people
with disabilities equal access to resources. Examples include wheelchair
ramps, voice-recognition software, and screen readers. Which statement best
explains how societal demand guided the development of these
technologies?
A. Engineers developed assistive technologies first and then began a
public-awareness campaign to educate people on how the
technologies can be used to provide equal access.
B. Businesses recognized the lack of equality for people with
disabilities and lobbied the government to make laws that required
the implementation of assistive technologies.
C. When new assistive technologies became available, consumers
began to demand their inclusion in all places of business,
D. Engineers developed and improved solutions in response to
consumer demand for equal access for people with disabilities.

Answers

Answer:engineers developed and improved solutions in response to consumer demand for equal access for people with disabilities.

Explanation:

Apex

in which of the following media does sound travel faster?

Answers

Answer:

Sound travel faster through the medium of solid.

Ex 11 ) A salmon jumps vertically out of the water at an initial velocity of 6 m/s. What is
the height it will jump?​

Answers

Answer:

1.84m

Explanation:

Given parameters:

Initial velocity  = 6m/s

Unknown:

height of jump  = ?

Solution:

To solve this problem, we have to apply the right motion equation:

        V²  = U²  - 2gH

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity  = 9.8m/s²

H is the height

   Final velocity is 0

  Solve;

           0² = 6² - 2x9.8xH

           -36  = -19.6H

               H = 1.84m

A body rolls over a horizontal, smooth surface without slipping with a translational
kinetic energy E. Show that the kinetic energy of the body is E=(1+K 2 /R 2 )
where K is the radius of gyration and R is the radius of the body. Using the above relation, find the
total kinetic energy of a circular disc.
b) A wheel of mass 1000 kg and radius 1 m is rotating at the rate of 420 r.p.m. What is the
constant torque required to stop the wheel in 14 rotations, assuming the mass to be
concentrated at the rim of the wheel?

Answers

Answer:

I am not sure sorry wish I could help

Answer:

I also wish I could help u but am sorry I don't know it

Don't worry you will find a solution

An object begins at position x = 0 and moves one-dimensionally along the x-axis witļi a velocity v
expressed as a function of time t according to the graph above. At what time does the object pass
through x = 0 again?

Answers

Answer:

The answer is "between 20 s and 30 s".

Explanation:

Calculating the value of positive displacement:

[tex]\ (x_{+ve}) = \frac{1}{2} \times 15 \times 20 \\\\[/tex]

          [tex]= \frac{1}{2} \times 300 \\\\= 150 \\\\[/tex]

Calculating the value of negative displacement upon the time t:

[tex](x_{-ve}) = \frac{1}{2} \times 5 \times 20- 20(t-20) \\\\[/tex]

          [tex]= \frac{1}{2} \times 100- 20t+ 400 \\\\= 50- 20t+ 400 \\\\[/tex]

[tex]\to X= X_{+ve} + X_{-ve} \\\\[/tex]

[tex]\to 150 - 50 -20t+400 =0\\\\\to 100 -20t+400 =0 \\\\\to 500 -20t =0\\\\\to 20t =500 \\\\\to t=\frac{500}{20}\\\\\to t=\frac{50}{2}\\\\\to t= 25[/tex]

That's why its value lie in "between 20 s and 30 s".

11. What is the momentum of a truck with a mass of 3000 kg traveling north at a
speed of 25 m/s?

Answers

Momentum equals 75000kg•m/s

Answer:

We are given:

mass of the truck (m) = 3000 kg

velocity of the truck (v) = 25 m/s

Calculating the Momentum:

We know that the momentum of an object is equal to its mass times it's velocity

P = mv           (where P is the momentum of the truck)

Momentum of the truck:

replacing with the values of the truck

P = mv

P = 3000 * 25

P = 75000 kg m/s

Therefore, the momentum of the truck is 75000 kg m/s

Three sticks are arranged in such a way that they form a right triangle. The
lengths of the three sticks are 0.47 m, 0.62 m, and 0.78 m. What would the
three angles of this triangle? *

Answers

Answer:

one right angel = 90 degrees

and two acute angels?

Explanation:

PICTURE ABOVE !
What could the mother do to make sure each of her kids follows her "cookie rule"?

Answers

Answer:

she should ve the one handing out the cookies each day, to make sure each child gets only one cookie a day.

The amount of energy necessary to remove an electron from an atom is a quantity called the ionization energy, Ei. This energy can be measured by a technique called photoelectron spectroscopy, in which light of wavelength λ is directed at an atom, causing an electron to be ejected. The kinetic energy of the ejected electron (Ek) is measured by determining its velocity, υ (Ek= mυ2/2), and Ei is then calculated using the conservation of energy principle. That is, the energy of the incident light equals Ei plus Ek. What is the ionization energy of selenium atoms in kJ/mol if light with λ = 48.2 nm produces electrons with a velocity of 2.371x106 m/s? The mass, m, of an electron is 9.109x10-31 kg. (Round to the ones place.)

Answers

Answer:

The value is [tex]E_i = 1.5596 *10^{-18} \ J[/tex]

Explanation:

From the question we are told that

The wavelength is [tex]\lambda = 48.2 nm = 48.2 *10^{- 9 }\ m[/tex]

The velocity is [tex]v = 2.371*10^6 \ m/s[/tex]

The mass of electron is [tex]m_e = 9.109*10^{-31} \ kg[/tex]

Generally the energy of the incident light is mathematically represented as

[tex]E = \frac{h * c}{\lambda}[/tex]

Here c is the speed of light with value [tex]c = 3.0 *10^{8} \ m/s[/tex]

h is the Planck constant with value [tex]h = 6.62607015 * 10^{-34 } J\cdot s[/tex]

So

[tex]E = \frac{6.62607015 * 10^{-34 }* 3.0 *10^{8}}{48.2 *10^{- 9 }}[/tex]

=> [tex]E = 4.12 *10^{-18} \ J [/tex]

Generally the kinetic energy is mathematically represented as

[tex]E_k = \frac{1}{2} * m_e * v^2[/tex]

=> [tex]E_k = \frac{1}{2} * 9.109*10^{-31} * (2.371*10^6 )^2[/tex]

=> [tex]E_k = 2.56 *0^{-18} \ J [/tex]

Generally the ionization energy is mathematically represented as

[tex]E_i = 4.12 *10^{-18} - 2.56 *0^{-18}[/tex]

=>     [tex]E_i  =  1.5596 *10^{-18} \  J[/tex]

Which of the following organisms has an adaptation that will allow it to survive in tundra biome? *
A.)Plants with roots that are short and grows sideways with hairy stems and small leaves.
B.)Plants that have broad leaves to capture sunlight and long roots to penetrate the soil.
C.)Animals with thin fur that allows them to get rid of heat efficiently.
D.)Animals with long tongues for capturing prey and sticky pads for climbing trees.

Answers

Answer:

the awnser is A becuse the hair help.

Two parallel plates, each of area 3.37 cm2, are separated by 5.40 mm. The space between the plates is filled with air. A voltage of 8.55 V is applied between the plates. Calculate the magnitude of the electric field between the plates. Tries 0/20 Calculate the amount of the electric charge stored on each plate. Tries 0/20 Now distilled water is placed between the plates and the capacitor is charged up again to the same voltage as before. Calculate the magnitude of charge stored on each plate in this case. (Use κ = 83.0 for the dielectric constant of water.)

Answers

Answer:

1, 1583.33 V/m

2, 4.72*10^-12 C

3, 39.2*10^-11 C

Explanation:

1

E = V / d

E = 8.55 / 5.4*10^-3

E = 8.55 / 0.0054

E = 1583.33 V/m

2

Capacitance, C = (k * e0 * A) / d, where k = 1

A = area of capacitor, 3.37 cm² = 3.37*10^-4 m²

d = plate separation, 5.4 mm

e0 = Constant, 8.85*10^-12

Applying these, we have

C = (1 * 8.85*10^-12 * 3.37*10^-4) / 5.4*10^-3

C = 29.82*10^-16 / 0.0054

C = 5.52*10^-13 F

Since Q = CV, then

Q = 5.52*10^-13 * 8.55

Q = 4.72*10^-12 C

3

We are given that k = 83, so

Capacitance, C = (k * e0 * A) / d

C = (83 * 8.85*10^-12 * 3.37*10^-4) / 5.4*10^-3

C = 2.475*10^-13 / 0.0054

C = 4.58*10^-11 F

Q = CV

Q = 4.58*10^-11 * 8.55

Q = 39.2*10^-11 C

Which best describes the relationship between the terms frequency wavelength and hurts

Answers

Answer:

:-)}:‑)B-):-\:-*:'(:-|:‑X;-):-*:-\:-*

please help me with this physics problem​

Answers

Answer:

It says the answer. (5 marks.)

Explanation:

The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

what is a methane. please answer pysicsssssssssss​

Answers

Answer:

methane is a gas

Explanation:

in chemistry

What are the different ways that the simulation shows you that the equation is balanced, visually? For each balanced reaction, indicate the total number of molecules (the big coefficients) in the table. Reaction Total Number of Molecules Reactant Side (left) Product Side (right) Make Ammonia Separate Water Combust Methane Is the number of total molecules on the left side of a balanced equation always equal to the number of total molecules on the right side of the equation? Explain your answer. For each balanced reaction, indicate the total number of atoms (the individual atoms) in the table. Hint: This may requiring multiplying subscript numbers by coefficients for some atoms. Example: 2NH3–There are 2 N atoms, and 6 H atoms (2 x 3). Reaction Total Number of Atoms Reactant Side (left) Product Side (right) Make Ammonia Separate Water Combust Methane Is the number of total atoms on the left side of a balanced equation always equal to the number of total atoms on the right side of the equation? What strategies did you use when you played the balancing chemical equations game? Which atoms were the easiest to start examining to try to balance the equations? Did it require trial and error? In the simulation, were you able to use non-integer numbers (like ½ or 0.43) for the coefficients in a balanced equation?

Answers

Answer:

There are three different ways that the equation is represented visually when it is balanced. First, the scale is at equilibrium when it is balanced. The balance turns yellow and a smiley face appears. Second, the graph shows equal amounts on both the reactant and product side of the equation. Third, within the individual molecule box, there should be the same number of each element on both the product and a reactant side of the equation.

Reaction Total Number of Molecules

 Reactant Side (left) Product Side (right)

Make Ammonia  4  2

Separate Water  2  3

Combust Methane  3  3

No, the number of total molecules on the left side of a balanced equation is not equal to the number of total molecules on the right side of the equation. A molecule is the smallest number of atoms bonded together for a chemical reaction. The total number of atoms must be the same, but not molecules. The reactants and products will bond together in different ways leading to different numbers of reactants and products.

 

Reaction Total Number of Atoms

 Reactant Side (left) Product Side (right)

Make Ammonia  1C, 4H, 4O  1 C, 4H, 4O

Separate Water  2H, 4O  2H, 4O

Combust Methane  2N, 6H  2N, 6H

Yes, in order for the equation to be correct, the total number of atoms on the left side of the balanced equation must always equal the total number of atoms on the right side of the balanced equation.

Answers to this question vary. A good answer could say start with the chemical with the smallest amount on each side of the equation and balance that. Alternatively, you could start with the largest and balance that first. You also could say that you examined the visual representation in the reactant and product box to see if there was an equal number of atoms. Sometimes, it does require trial and error to get an equal number of atoms on each side of the equation. You could also use math concepts such as greatest common factors to use the smallest number possible of each molecule.

No, you could not use a non-integer number.

Explanation:

PF

Answer: There are three different ways that the equation is represented visually when it is balanced. First, the scale is at equilibrium when it is balanced. The balance turns yellow and a smiley face appears. Second, the graph shows equal amounts on both the reactant and product side of the equation. Third, within the individual molecule box, there should be the same number of each element on both the product and a reactant side of the equation.

Reaction Total Number of Molecules

 Reactant Side (left) Product Side (right)

Make Ammonia  4  2

Separate Water  2  3

Combust Methane  3  3

No, the number of total molecules on the left side of a balanced equation is not equal to the number of total molecules on the right side of the equation. A molecule is the smallest number of atoms bonded together for a chemical reaction. The total number of atoms must be the same, but not molecules. The reactants and products will bond together in different ways leading to different numbers of reactants and products.

Reaction Total Number of Atoms

 Reactant Side (left) Product Side (right)

Make Ammonia  1C, 4H, 4O  1 C, 4H, 4O

Separate Water  2H, 4O  2H, 4O

Combust Methane  2N, 6H  2N, 6H

Yes, in order for the equation to be correct, the total number of atoms on the left side of the balanced equation must always equal the total number of atoms on the right side of the balanced equation.

Answers to this question vary. A good answer could say start with the chemical with the smallest amount on each side of the equation and balance that. Alternatively, you could start with the largest and balance that first. You also could say that you examined the visual representation in the reactant and product box to see if there was an equal number of atoms. Sometimes, it does require trial and error to get an equal number of atoms on each side of the equation. You could also use math concepts such as greatest common factors to use the smallest number possible of each molecule.

No, you could not use a non-integer number.

correct me if im wrong for #16

Answers

The answer would be 3. As the ball has the momentum of falling from A to C any is on the greatest negative slope in this graph. Hope this helps

An object is traveling at a constant velocity of 10m/s for 4 seconds. What is its acceleration?

40 m/s/s
0.4 m/s/s
2.5 m/s/s
0 m/s/s

Answers

Answer:

The answer is 2.5 m/s²

Explanation:

The acceleration of an object given it's velocity and time taken acting on it can be found by using the formula

[tex]acceleration = \frac{velocity}{time} \\ [/tex]

From the question

time = 4 s

velocity = 10 m/s

So we have

[tex]acceleration = \frac{10}{4} = \frac{5}{2} \\ [/tex]

We have the final answer as

2.5 m/s²

Hope this helps you

Other Questions
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