The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a semicircular arch whose diameter is 4.1 cm. If blood flows through the aortic arch at a speed of 0.30 m/s, what is the magnitude (in m/s2) of the blood's centripetal acceleration

Answers

Answer 1

The centripetal acceleration of the aorta in which the blood travels with the speed of 0.30 m/s is 2.2 m/s²

The diameter of the aorta = 4.1 cm

                                           = 4.1 x 10⁻² m

The speed of the blood through the aorta = 0.3 m/s

The centripetal acceleration of the blood passing through the aorta can be found using the formula,

                     a = v²/r

where a is the centripetal acceleration

           v is the speed of the blood passing through the aorta

           r is the diameter of the aorta

Let us substitute the known values in the above equation, we get

         a = 0.30² / (4.1 x 10⁻²)

            = 0.09 /  (4.1 x 10⁻²)

            = 0.022 x 10²

            = 2.2 m/s²

Therefore, the centripetal acceleration of the aorta is 2.2 m/s²

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Related Questions

What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?

Answers

Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N  potential is the energy.

What similarities and differences do kinetic and potential energy share?

Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;

When compared to potential energy, is kinetic energy greater?

Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.

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The direction of the velocity of the planet is _______________________ (alwaysThe direction of the velocity of the planet is _______________________ (always, seldom, never) perpendicular to the net force acting upon the planet., seldom, never) perpendicular to the net force acting upon the planet.

Answers

According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

As we begin to examine satellite orbits, we find that a circular orbit places the satellite always perpendicular to the object's net force and speed.

The orbit is stretched, just like in elliptical orbits. This informs us that the orbit has four points. As a result, the satellite rarely faces the satellite's net force in a perpendicular direction.

Rarely and always for elliptical orbits. According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

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Turn your head _______ and right and glance over your shoulder to view what cannot be seen in the side-view mirrors. back down left up Submit answer

Answers

Turn your head left and right and glance over your shoulder to view what cannot be seen in the side-view mirrors.

What is mirror ?

An item that reflects an image is a mirror or looking glass. When focused through the lens of the eye or a camera, light that reflects off a mirror will reveal a picture of whatever is in front of it. Mirrors reflect light at an equal but opposite angle, which changes the direction of the image.

What is direction?

Direction can refer to a thing's course, the route one must take to get there in particular, the direction something is beginning to take shape, or the direction you are facing. Going straight instead than left is an example of direction.

Therefore, Turn your head left and right and glance over your shoulder to view what cannot be seen in the side-view mirrors.

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What are the most common mutations in SCID?

Answers

A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.

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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking

Answers

As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.

Describe acceleration:

An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.

v = v o + a t  ( the acceleration will be negative )

9.50 = 16.0 + a * 1.2

a * 1.2 = -16.0 + 9.50

a * 1.2 = - 6.5

a = - 6.5 : 1.2

a = - 5.4167 m/s²

F = m * a

950 kg * 5.4167 m/s²

F = 5,145.8 N ( the average force exerted on a car during braking )

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How do the overload and progression principles work together for strength training?

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If you are exercising with a specific goal in mind, such as improved strength or cardio fitness. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity.

Your muscles will remain challenged and you'll get stronger if you change or advance your workouts.

To get the most out of any training programme, you must follow certain rules. You won't benefit much from your workouts if you don't adhere to these rules. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity. The concept of specificity is especially important if your exercise programme is designed to help you achieve a particular goal, like increased strength or improved aerobic fitness.

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Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G

Answers

The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.

What do you mean by force of gravity?

The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.

The force of gravity between two objects is:

F = G * m1 * m2 / r^2

Where F  = force of gravity,

G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),

mass m1 and mass m2 are the masses of the objects,

r = distance between their centers of mass.

Given:

the mass of the newborn baby = 2.50 kg,

the mass of the doctor = 80.0 kg,

the distance between them = 0.250 m,

F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2

F = 2.67 x 10^-8 N

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What is dynamic flexibility example?

Answers

Dynamic flexibility example is a swimmer may circle their arms before getting into the water.

What is dynamics flexibility?

A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.

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A 5mL tank of Carbon dioxide i tored at a preure of 30mmHg. It i moved to an altitude with a preure of 28mmHg. What will the new volume of Carbon dioxide be?

Answers

The new volume of Carbon dioxide be 5.36 mL.

What happened to the amount of gas in the syringe as you raised the plunger?

Boyle's Law can also be used to explain how a syringe operates. A syringe's plunger being drawn out causes the volume inside the barrel to expand, which lowers the pressure inside the barrel.

Describe Boyle's Law.

According to Boyle's Law, P1V1=P2V2 while the temperature is constant. In accordance with Boyle's Law, pressure and volume are inversely linked. In other words, volume decreases as pressure rises (and vice versa).

Given:

Volume (V1) =5ml

Pressure (P1) = 30 mmHg

Pressure (P2) =28 mmHg

Volume (V2) = ?

From Boyle's Law,

[tex]P_1V_1=P_2V_2[/tex]

[tex]30*5=28*V_2[/tex]

[tex]V_2=\frac{30*5}{28}[/tex]

[tex]V_2= 5.36 ml[/tex]

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In 1935, a french destroyer , La Terrible , started from rest and accelerates to attain a speed of 93 km/h. Suppose it took 2 minutes for the ship to speed up. Find the ships average acceleration.

Answers

According to the given statement The ships average acceleration is 2790 km/hr².

What is an explain acceleration?

Rate of change in both speed and direction of motion over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because of direction is always shifting

Calculation:

We know that from newton's equation,

v² + u² = 2as

S = ut + 0.5 at²

Where, v = final speed

           u = initial speed

           a = acceleration

           S = distance covered

            t = time taken

Given, u = 0

So the equations becomes:

v² = 2as

S = 0.5 at²

Using these equations we get:

v² = 2a(0.5)at²

v² = a²t²

v = at

v/t = a

Given,  v = 93 km/hr

          t = 2 min = 2/60 hr

Putting these values in above equation we get, a = 2790 km/hr²

So, the ships average acceleration is 2790 km/hr²

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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.

Answers

The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.

Why does copper behave better as an electrical conductor?

A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.

Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.

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Answer:

1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)

2. An electrical current that flows in one direction (D.)

3. aluminum (Al) (D.)

4. Opposite charges attract one another. (D.)

5. Atoms with a nearly empty valence shell make good conductors. (C.)

Explanation:

I did the Connections Academy test (Conductors and Insulators Quick Check)

Trends are easier to detect when the signal-to-noise ratio is low.
a True
b False

Answers

Answer:

I think it's b. False

Explanation:

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.0-kg water-skier has an initial speed of 5.6 m/s. Later, the speed increases to 10.8 m/s. Determine the work done by the net external force acting on the skier.

Answers

The work done by the net external force acting on the skier is 3368.56 J.

What exactly is a physics "work done"?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

What is a work unit and a SI unit of work?

The joule is the SI unit of labor (J). It is described as the work accomplished over a one-meter distance by a force of one newton.

It is given that,

Mass of the water skier, m = 79.0 kg

Initial speed of the water skier, u = 5.6  m/s

Final speed of the skier, v = 10.8 m/s

Now, we calculate work done by using work energy theorem,

W = ΔE

[tex]W=\frac{1}{2}m (v^2-u^2)[/tex]

[tex]W=\frac{1}{2} 79.0 kg (10.8^2-5.6^2)[/tex]

[tex]W=3368.56J[/tex]

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A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel a distance of 3607 km. The first of the waves reached Hawaii 4.567 hours after the earthquake occurred. From this data, calculate the speed of the tsunami.

Answers

From the given data, the speed of the tsunami is 789.8 km/h.

What is the speed of the tsunami?

The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.

Mathematically, this formula is given as;

v = d / t

where;

d is the distance travelled by the wave of the earthquaket is the time of motion of the wave

From the given data, the speed of the tsunami is calculated as follows;

v = ( 3607 km ) / ( 4.567 hr )

v = 789.8 km/h

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When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. What is the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d?
plsss help

Answers

According to Newton's law of gravitation, the new gravitational force will be F/9

Newton's Law of Gravitation

It states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,

F = GMm/d²

Where

M = mass of the earthm = mass of the satelliteG = universal gravitational constant

The magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow

f = GMm/(3d)²

f = GMm/9d²

f = GMm/d² × 1/9

Since GMm/d² = F

f = F × 1/9

f = F/9

Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton

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Four particles with masses 4 kg, 4 kg, 4 kg, and 7 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 9 rad/s. Find the rotational energy of the system about the x axis.

Answers

The rotational Kinetic energy of the system about X axis is 24624 J.

Let the distance of the mass 4kg, from O is r1,

r = √(4² + 4²)

r = √32m

The distances of masses to the rotation axis is same -

say,

r1 = r2 = r3 =r4 = √32

Hence,

I = ∑ mi r1²

I = r² ∑(m1 + m + m3 + m4)

= 32(19)

I = 608 Kg m²

We know that rotational energy of system is given as,

K = 1/2 Iw²

Given,

W = 9 rad/sec

∴ K = 1/2 × 608 × 9²

  K = 24624 J

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A boy with a mask of 20 is running at 3 m/s what is his kinetic energy

Answers

Important Formulas:

[tex]KE=.5mv^2[/tex]

Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

[tex]m=20kg[/tex]

[tex]v=3m/s[/tex]

[tex]KE=?[/tex]

__________________________________________________________

Finding kinetic energy:

[tex]KE=.5mv^2[/tex]

[tex]KE=.5(20)(3)^2[/tex]

__________________________________________________________

[tex]\fbox{KE = 90 Joules}[/tex]

A new way of "multiplying" two vectors is introduced in this chapter. What is it called? Select one: O a. The tensor product. O b. The angular product. Oc. The scalar product. O d. The dot product. O e. The cross product.

Answers

The correct option is option e) cross product

The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.

In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.

The cross-product has four basic applications:

calculating the angle () between two vectorsdetermining a vector normal to a planecalculating the moment of a force about a pointcalculating the moment of a force about a line.

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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)

Answers

The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.

An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.

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What is moment arm distance?

Answers

The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.

Moment distance: what is it?

A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).

What exactly are moment and lever arms?

The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.

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I really don’t get it so if someone could help me that would be great

Answers

Answer:

Explanation:

First establish the POSITIVE direction.  We'll say to the RIGHT is positive, and UP is positive.  All you have to do is add forces in the positive direction and subtract forces in the negative direction.  If your answer is positive, the net force is to the right or up;  if your answer is negative, the net force is to the left or down.

Here are your answers:

25-15-15 = -5N left

84-60-10 = 14N up

75-60-2 = 13N right

25+25-25 -15 = 10N right

44+44-100= -12N down

67-76 = 9N right

i need help plssssss

Answers

The three key words that have been replaced in the cross - section of a solar panel are:

R - Insulator S - Copper T - Black

This means that Option A is correct.

What are some parts in a solar panel ?

A solar panel, also known as a photovoltaic (PV) panel, is a device that converts sunlight into electricity. It is made up of several different parts that work together to generate electricity. Solar cells are made of silicon and are responsible for converting sunlight into electricity. They are usually arranged in a grid pattern on the panel.

The backsheet is the layer of material that sits on the back of the solar cells. It is responsible for protecting the back of the solar cells from moisture and other environmental factors. It is an insulator and is shown as R.

There are also the copper wires which heat the water and they are painted black as black absorbs heat better. These are labeled S and T respectively.

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What is the speed of a truck that travels 10 km in 20 minutes?

Answers

Answer:

8.3 m/s

Explanation:

Here's the answer in m/s:

(10 km)(1000 m/km) = 10000 m

(20 min)(60 s/min) = 1200 s

speed = d/t = 10000m / 1200s = 8.3 m/s

Stephen has to drive 8 miles south and 3 miles east to get to work.What is his distance and displacement?

Answers

Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles

What is Displacement ?

Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.

Given that Stephen has to drive 8 miles south and 3 miles east to get to work.

His distance will be 8 miles + 3 miles = 11 miles

While his displacement can be calculated by using Pythagoras theorem. That is,

Displacement D = √(8² + 3²)

D = √(64 + 9)

D = √73

D = 8.5 miles

Therefore, his distance is 11 miles and his displacement is 8.5 miles.

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Find the y-component of this vector: 22.3 m 77.1° Remember, angles are measured from the +x axis.​

Answers

Answer:

-21.7m

Explanation:

To find the y-component of the vector, we need to find the vertical displacement from the point at the bottom of the vector to the x-axis (or its y-coordinate value).

To calculate this we can create a triangle with the vector as the hypotenuse, the y-axis as the second side and draw an imaginary line from the end of the vector directly horizontally across to the y-axis.

We can use the given angle to find the angle between the y-axis and the angle. Since the angle of a quadrant is 90 degrees, the angle within our triangle must be [tex]90-77.1=12.9[/tex] degrees.

From here, to find the length of the side on the y-axis we can use the trigonometric cos function.

[tex]cos \theta =\frac{adjacent side}{hypotenuse}[/tex]

Therefore [tex]cos 12.9=\frac{y-component}{22.3}[/tex] and [tex]ycomponent = 22.3cos12.9[/tex]

This gives us a value of 21.7 (3.s.f) for our y-component.

Finally, the y-component is also a vector so it also needs a direction. Therefore like its coordinate, its value will be -21.7m.

An object is dropped from the edge of a cliff and is moving at 26.5 m/s just before it hits the ground. How high is the cliff

Answers

Here initial speed u=0m/s    final speed v=26.5 m/s and acceleration due to gravity g=9.81 m/s^2

Calculation

Where:

m = mass of the object (kg)

g = acceleration due to gravity (9.8 m/s^2)

h = height of the cliff (m)

We know the velocity of the object just before it hits the ground, which is 26.5 m/s. We can use this velocity to calculate the kinetic energy of the object just before it hits the ground.

KE = (1/2)mv^2

As the object is dropped from the cliff, its initial potential energy is converted to kinetic energy. Therefore, the initial potential energy is equal to the final kinetic energy.

GPE = KE

mgh = (1/2)mv^2

We can solve for h by rearranging the equation and substituting the known values for GPE, KE, m, and g.

How can I determine the speed of a falling object before it reaches the ground?

Simply multiply the acceleration of gravity by the period of time since the object was released to determine the object's speed (or velocity). In other words, velocity is equal to -9.81 m/s2 * time, or V = gt. The item is just traveling downwards when there is a negative sign.

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A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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Drag each label to the correct location.

Identify the boundary type that is being described.

Answers

Transform boundaries, continental convergent boundaries, and oceanic convergent boundaries are the boundaries that are recorded.

How do transform boundaries work?

A transform boundary is an area of a fault where two surfaces slide horizontally past one another.

What exactly is a convergent ocean boundary?

An oceanic convergent boundary is the collision of two oceanic lithosphere-based plates. Even if this boundary contained the same kind of lithosphere, one of the plates would subduct beneath the other.

Transform boundaries are where crust is neither created nor destroyed at this boundary.In the region where the plates come into contact, movement along this boundary causes crumpling, lifting, and folding of the earth's crust—the continental convergent boundary.At this boundary, also known as the oceanic convergent boundary, the subduction zone frequently forms an arc of volcanic islands.

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A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. What minimum coefficient of static friction is required

Answers

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. Minimum coefficient of static friction is required 13.56.

To find the minimum coefficient of static friction required, we need to calculate the centrifugal force acting on the child and compare it to the force of friction.

The centrifugal force acting on the child is given by:

= Fc

= m * r * w^2

where

= m

= 50.0 kg (mass of child)

= r

= 2.70 m (radius of the merry-go-round)

= w

= 3.95 rad/s (angular velocity)

So, Fc = 50.0 kg * 2.70 m * (3.95 rad/s)^2

= 6629.775 N

The force of friction acting on the child is given by:

= Ff

= friction coefficient * normal force

where

friction coefficient = minimum coefficient of static friction required (unknown)

= normal force

= m * g

The normal force is equal to the weight of the child, which is

= m * g

= 50.0 kg * 9.8 m/s^2

= 490 N

So, Ff = friction coefficient * 490 N

To find the minimum coefficient of static friction, we need to set Ff equal to Fc and solve for the friction coefficient:

friction coefficient = Ff / N

friction coefficient = 6629.775 N / 490 N

= 13.56

So the minimum coefficient of static friction required is 13.56.

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On a wheel and axle, if the large wheel has a radius of 20 cm and the small wheel has a radius of 4 cm, what is the ideal mechanical advantage

Answers

The ideal mechanical advantage is 5.

Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm

So, as per the problem, mechanical advantage will be 20/4 = 5.

A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.

The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.

The mathematical relationship is:

W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ

Where ​θ​ is the angle that the wheel is turned.

And therefore:

Fr(r in subscript) / FR(R in subscript) = R/r

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