When the filtrate moves through the two arms of the Henle's loop in directions that are diametrically opposed, countercurrent occurs.
For the medullary interstitial fluid to remain at a high osmolarity, Henle's loop's ascending limb is essential. These two limbs' close companion, the vasa recta, similarly has two opposing orientations of function. The hand can be significantly cooled without losing body heat because the deep veins are wrapped around the arteries, and the counter-current flow that results from this short-circuits the loss of body heat.
Over the course of their full interaction, the counter-current exchange system may keep the gradient between the two flows practically constant. This can result in practically all of the property transferring if the length and flow rate are both sufficient.
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10) An ice cube of mass 0.046 kg and temperature -14 C is heated until it is now fully melted and at a temperature of 11C now. What percentage of the total energy was used to melt the ice
90.23 % percentage of the total energy was used to melt the ice.
Define Energy?Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.
Calculation -:Total energy used from -[tex]14^{o}[/tex]C to [tex]11^{o}[/tex]C
= [tex]m_{i}c_{i} T_{i}[/tex] + [tex]m_{i} L_{f}[/tex] +[tex]m_{w} c_{w}[/tex]Δ[tex]T_{2}[/tex]
= (0.013×2200×8) + (0.031×334000) + (0.013×486×11)
= 400.4 + 4342 + 69.498
= 4811.898 J
% energy used to melt = 4342/4811.898 × 100
= 90.23 %
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7.) A 72 kg skier is beginning to ski down a slope starting 90 meters high. There is an issue, the skier did
not see a curb in the slope and did not realize they were going to hit a wall at the bottom of the slope. It
was observed by a nearby instrument that when the skier collided with the wall of snow there was 64 J
of sound energy given off. The rest of the kinetic energy was converted to heat energy, what was the
amount of kinetic energy converting to heat from the collision?
The total energy of the skier at the beginning of the slope is 63360 J.
What is total energy?Total energy is the sum of all the energies of a system, including thermal, mechanical, electrical, and chemical. It is the measure of the capacity of a system to do work. It can be expressed as the product of the mass of the system and its velocity squared.
The kinetic energy of the skier at the beginning of the slope is given by the equation KE = .5mv^2, where m is the mass of the skier (in kilograms) and v is the velocity of the skier (in meters per second).
The kinetic energy at the beginning of the slope is (0.5)(72kg)(0m/s)^2 = 0 J. Since the skier was 90 meters high, we can assume a gravitational potential energy of (90m)(9.8m/s^2)(72kg) = 63360 J.
Therefore, the total energy of the skier at the beginning of the slope is 63360 J.
At the end of the slope, the skier converts the energy into sound and heat energy. The sound energy of 64 J is given. Therefore, the heat energy must be 63360 - 64 = 63296 J. This is the amount of energy converted to heat energy from the collision.
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A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
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A student gathered two boxes of the same size made of different materials: glass and clear plastic. She placed them on a windowsill in the sun for an hour, and then measured the temperature of the air in each box. What is the temperature of the air in this experiment
According to the given statement The temperature of the air in this experiment is dependent variable.
What do you mean by a material?Material refers to a thing that something else is made out of. Material can also refer to cloth or can be used to describe something that is made of matter and exists in the physical world. Material has many other senses as a noun and an adjective.
What is an example of a material?A material is any substance that an object is made from. Glass, chalk, paper, wax, water, air, clay and plastic are all different materials. All materials are made up of matter.
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Now let's think about a balloon. We know the gas particles inside of the balloon are bumping against the sides. What keeps those gas particles from forcing the balloon to expand
The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.
The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.
The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.
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If the work done to move a toy car by a force of 20N is 60J how far did the car move?
Answer: Distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Explanation: To determine how far the car moved, you need to know how long the force was applied. The equation for work is work = force * distance, so if you know the force and the work, you can solve for the distance. In this case, you know that the force applied was 20 N and the work done was 60 J, so you can calculate the distance by rearranging the equation to solve for distance: distance = work/force. Plugging in the values, you get distance = 60 J / 20 N = 3 meters. So the car moved a distance of 3 meters.
Important Formulas:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]w=60J[/tex]
[tex]F=20N[/tex]
[tex]d=?[/tex]
__________________________________________________________
Rearranging formula to make distance the subject:
[tex]w=Fd[/tex]
[tex]\dfrac{w}{F} =\dfrac{Fd}{F}[/tex]
[tex]d=\dfrac{w}{F}[/tex]
__________________________________________________________
Finding distance:
[tex]d=\dfrac{w}{F}[/tex]
[tex]d=\dfrac{60}{20}[/tex]
__________________________________________________________
[tex]\fbox{d = 3 meters}[/tex]
What 3 things can change a gene pool?
Natural selection, genetic drift, and gene flow are some of the mechanisms that cause changes in allele frequencies over time.
How it affects:Over time, a population's gene pool might change due to evolution. This can be brought on by a variety of mechanisms, including mutations, natural selection, and genetic drift. As a result, the gene pool of the population is altered to better meet the needs of its particular environment.
The four main driving forces of evolution are mutation, natural selection, genetic drift, gene flow, and gene flow. New genetic variety is created by mutation in a gene pool. Genetic drift and gene flow alter the allele frequencies in a gene pool.
A population's gene pool can slowly change over time to produce new types of individuals, a process known as microevolution. Microevolutionary processes include changes in a species' size or color as well as bacteria that are no longer hurt by drugs.
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Which of the following properties of a 2.3 MHz ultrasound wave remains unchanged as it passes into human tissues
When it comes to frequency, a 2.3 MHz ultrasonic wave's characteristic does not alter while it travels through human tissues.
The frequency of a wave is the number of oscillations it performs in a second. It's calibrated in hertz (Hz). The number of waves that pass a specific place in a predetermined period of time is known as wave frequency. The hertz (Hz) is the SI unit for wave frequency, and 1 hertz is equivalent to 1 wave crossing a fixed point in 1 second. A wave with a higher frequency has more energy than a wave with a lower frequency of the same amplitude.
As a result, a wave's frequency is unaffected by the medium through which it travels.
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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?
Answer:
Below
Explanation:
Use law of conservation of momentum
momentum before crash = momentum of the system after crash
3600 kg * 21 m/s = (3600+ x ) * 9
solve for x = 4800 kg
A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
How do you find a velocity of an object?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.
An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.
Therefore, the correct answers are:
a) 75 m/s
b) 1.4 x 103m/s2
c) 2.8 x 103N
d) 75 m/s tangential object flight.
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A pilot is flying a small plane at 130 m/s in a circular path with a radius of 400 m. If a force of 3200 N is needed to maintain the pilot's circular motion, what is the pilot's mass in kilograms rounded to the nearest hundredth?
The mass of the pilot flying a small plane is 75.74 kg.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
Speed of the small plane: v = 130 m/s.
Radius of circular path: r = 400 meter.
Hence, centripetal acceleration: a = v²/r = (130)²/400 m/s² = 42.25 m/s²
Required force: F = 3200 N.
Hence, from Newton's 2nd law of motion:
The pilot's mass = force/acceleration
= 3200/42.25 kg
= 75.74 kg.
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two blocks are connected by a string of negligible mass that passes over massless pulleys
If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks.
Therefore, if the blocks have different masses, they will have different accelerations.
In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.
In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.
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if Jada has 25 dimes how many quarters dose she have
If Jada has 25 dimes, she has 10 quarters .
What are dime and quarter?Dime is a coin from the United States or Canada which has value of ten cents.
And. quarter is a coin from the United States or Canada which has value of twenty five cents.
Jada has 25 dimes .
Now, we know that 1 dime is equals to 10 cents.
Hence, Jada has = 25 × 10 cents = 250 cents.
Again we know that 1 quarter is worth 25 cents.
So, Jada has = (250 ÷ 25) quarters
= 10 quarters.
Hence, she has 10 quarters.
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How are stage and film versions of a drama similar the viewer must infer the mood from the lighting and sound effects?
Stage and film versions of a drama are similar in that the audience must use context clues such as lighting, sound effects, and dialogue to infer the mood of a scene. This requires the audience to pay attention to the details of the performance, as subtle changes in these elements can drastically change the overall tone of the production.
The main difference between a stage and film version of a drama is that a stage production relies heavily on the physicality of the actors and their interactions with one another, while a film production relies heavily on the technical aspects such as camera angles, lighting, and sound design. Additionally, a stage production is performed live in front of an audience, while a film is created in a studio and viewed later by an audience.
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In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because
The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.
As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.
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if the bat and softball are in contact for 0.80m/s, what is the average force that the bat exerts on the ball
The changes in the momentum of the ball and the time over which that change occurs. The formula for average force is: average force = change in momentum/time.
Calculation-Given: The ball's mass is 0.144 kilogram.
speed v = 38 m/s, shift in momentum presently
P = m v- ( - mv) ( - mv)= 2 mv
=2 x (0.144) x (38) (38)
= 10.944 kg-m/s
t Impulse J=F.
The impulse is equivalent to the change in momentum.
J = 10.944 kg-m/s
What forces are at play when a baseball bat strikes a fastball?Think about how a baseball bat and a ball interact, for instance. The bat forces the ball to the right while the baseball forces the bat to the left. The action-reaction force pair is made up of these two forces acting on two different objects combined.
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Pitch a baseball horizontally at 38.0 m/s weighing 0.144 kg. The baseball moves in the opposite direction and at the same speed after being struck by the bat. What is the ball's change in momentum? What kind of impetus does the bat deliver? What was the average force the bat applied to the ball during the 0.80 milliseconds that they were in contact?
Body of an earthworm is divided into rings/ metamers. It moves with the help of two muscles: longitudinal and circular muscles. Which of the following activity is done by earthworm during its movement?
(OPTIONs)
→ Swallow the soil it moves
→ Grip the soil firmly at one end
→ Make the soil moist and slippery
→ Break the soil into smaller particles
Swallow the soil it moves and Break the soil into smaller particles.
What is movement in earthworm?They don't have bones or other fixed features that might restrict their movement. The body of an earthworm is segmented. Earthworms use the setae, or tiny bristles, that are present on each segment, to assist them hold the dirt as they travel.
An earthworm uses two distinct sets of muscles to move. Longitudinal muscles run the length of the body, while circular muscles loop around each segment. The earthworm extends as a result of the circular muscles contracting, growing longer and thinner.
The earthworm embeds the front of its body in the dirt using its setae. The earthworm now contracts its longitudinal muscles, either making it shorter and wider.
Therefore, Swallow the soil it moves and Break the soil into smaller particles.
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two blocks are connected by a string of negligible mass that passes over massless pulleys
If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
What is Newton's second law? In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks. Therefore, if the blocks have different masses, they will have different accelerations. In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.To learn more about newtons second law refer:
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Marissa’s car accelerates at an average rate of 3. 6 m/s2. Calculate how long it takes her car to accelerate from 26. 4 m/s to 28. 6 m/s
It will take 1.5 seconds for Marissa's car to accelerate from 26. 4 m/s to 28. 6 m/s.
Acceleration can be calculated by looking at the change in velocity over a specific period of time. It is an important concept in physics as it is used to explain the motion of objects in the real world.
Acceleration is a measure of how quickly an object is changing its velocity on average, and it is usually expressed in meters per second squared (m/s2).
This simple calculation of Marissa's car acceleration can be determined by using the formula: Delta speed / Acceleration rate = Time taken.
In this case, that would be 2.2 m/s (28.6-26.4) / 3.6 m/s2
= 0.6 s or 1.5 sec (rounded up).
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How long does it take a plane, traveling at a constant speed of 130 m/s, to fly once around a circle whose radius is 2650 m
51.6 seconds long does it take a plane, traveling at a constant speed of 130 m/s, to fly once around a circle whose radius is 2650 m.
The time it takes for an object to travel once around a circle of radius r at a constant speed v can be found using the equation:
T = 2 x π x r ÷ v
where T is the time in seconds, pi is approximately 3.14, r is the radius of the circle in meters, and v is the speed of the object in meters per second.
Given a constant speed of 130 m/s and a radius of 2650 m, the time it would take for a plane to fly once around the circle would be:
T = 2 x π x 2650 m / 130 m/s
T = 51.6 sec
So, it would take approximately 51.6 seconds for a plane traveling at a constant speed of 130 m/s to fly once around a circle whose radius is 2650 m.
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A particle travels at a constant speed of 19.0 m / s in a circular path of radius 954.9 cm. How many turns (revolutions) does the particle make in 1 minute
The 10/π ms² turns (revolutions) the particle make in 1 minute.
What is revolution ?Whereas rotation involves travelling around the axis, occurs when one body moves around another. As an illustration, the Moon orbits the Earth, and the Earth revolves around the Sun.
What is particle ?Paul Dirac and other researchers found that the concept could be applied to electrons and everything else in addition to photons, the unit of light called a quanta: Particles are thought to be excitations of quantum fields that are present throughout space, according to quantum field theory.
When the particle completes half revolution change in velocity
Δv=[5−(−5)]m/s=10m/s
Time taken to complete the half revolution is
t = πr/ v
= π *5 / 5
= πs
Thus, average acceleration = Δv / t
= 10/π ms²
Therefore, the 10/π ms² urns (revolutions) does the particle make in 1 minute.
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What is the acceleration of the particle at t 0?
The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
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prepare a list of various sources of energy that are used at your home .classify them into renewable and non renewable source of energy
The two energy sources that are used in homes the most are electricity and natural gas. Natural gas is a non-renewable energy source, whereas electricity that is generated from unconventional sources is.
What are some examples of renewable and non-renewable energy sources?Sunlight, water, wind, and geothermal sources like hot springs and fumaroles are examples of renewable resources. Petroleum and coal are examples of fossil fuels that are non-renewable resources. The majority of renewable resources have small carbon footprints and low carbon emissions.
What are the top 5 energy-saving features for homes?A well-built and securely sealed thermal envelope, controlled ventilation, appropriately sized, high-efficiency heating and cooling systems, and energy-efficient doors, windows, and appliances are the essential components of the majority of energy-efficient homes, despite construction costs, options, and styles being different.
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Write a decomposition chemical reaction caused by light.
A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.
It is represented by the following equation:
[tex]2 H_{2} O_{2}(aq)[/tex] → [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]
The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.
This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.
This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.
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why does increasing axon diameter increase conduction velocity conduction resistance capacitance
The increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.
Capacitor is a body which is used to store the electricity in it and we can use it in the time when we need it in the circuit. also we can use the capacitor in the jumping the charge and electricity from the spark gap in the circuit to attain a good height and velocity as we needed it. by this information we can primarily consider that the increasing axon diameter increase the conduction velocity conduction in resistance capacitance because of the possibility of smooth movement of electrons in the capacitor and the smooth flow of charges in it that supports the electric current to flow in a smooth manner.
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If you are going the same speed, the greater the vehicle _______ the greater the force of impact. florida
If you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.
Velocity of any body is the speed by which it is travelling along with the direction it has given. velocity is a vector quantity because it has both magnitude and direction. velocity has both magnitude and direction so it different from speed but its magnitude is same as that of speed and we can calculate both as their magnitude are equal. velocity is the measure of the speed of the moving body by which it is moving in the place from one place to another. velocity and speed are the same but they are different in the essence in the form of their type. speed is scalar and velocity is vector. by this primary information we can consider that primarily that if you are going the same speed, the greater the vehicle, the greater the force of impact on the reacting body and greater the inertia of it and greater is its velocity.
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What is B_{\text {out }}, the z component of the magnetic field outside the solenoid?
The magnetic field outside the solenoid [tex]B_{\text {out }}[/tex] is zero.
The magnetic field lines are present outside the solenoid, but there are significantly less of them there than there are inside the solenoid. This is known as the flux. As a result, the magnetic field outside is thought to be almost nil. It is more accurate to assume that the magnetic field outside the solenoid is zero if the solenoid is quite long. It is false close to the solenoid's edge. We consider the magnetic field outside the solenoid to be zero for practical purposes. This amount of flux divided by the area outside the solenoids gives the flux density, which is equal to the strength of the field outside the solenoid is zero.
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how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?
The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.
What is current?Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.
A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is
Given that,
Current =2A
Time t= 20min = 20×60s
Let,
n and e be the number and charge of electrons in time t.
So,
The total charge, q(say) in the wire is
q = ne
Hence, the current flowing in time t is
I = q/t
I = ne/t
n = It/e
[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]
Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.
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Your question seems incomplete, the missing options are:
[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]
Rob is studying for an exam. He listed some properties of magnets in a Maglev train.
A 2-column table with 2 rows. The first column labeled Magnet has entries Guidance, Guideway. The second column labeled Properties has entries the current in an electromagnet changes rapidly, which pushes the train forward, a pole faces the like pole of the support magnet and repels the support magnet, which increases friction.
Which best explains Rob’s error?
The current in the electromagnet of the guidance magnet does not change.
The types of magnets are listed incorrectly in the table and should be switched.
The unlike poles of the guideway and support magnets face each other.
The repelling of the support magnet decreases friction.
In the table's Properties column, notably in the entry for the Guidance magnet, Rob made a mistake.
Which best demonstrates Rob's inaccuracy that causes the friction?It is untrue to say that a quickly changing electromagnet's current propels a train forward. To create a levitation force that lifts the train off the tracks and enables it to float, the guidance magnets in a Maglev train really work by repelling the guiding magnets on the vehicle from the guideway.
In order to maintain the train's levitation and stability, the polarity of its steering magnets must change quickly rather than the current.
Superconducting magnets, which don't suffer any major energy losses when repelling another magnet, are frequently used in Maglev trains. Instead, a repelling force produced by the magnets lifts the train off the rails and enables it to float.
The mistake is that the guidance magnets should push the train ahead and increase friction, not by repelling the magnets on the train from the guideway and creating a levitation force.
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Spring constant problem. What is the formula for k in terms of the period T and the mass?
A. K= 4pi^2m/T^2
B. K= 4*pi^2/mT^2
C. K= 2*pi*m/T
The formula for k in terms of the period T and the mass m in spring constant problem is k = 4π²m/T². The formula applies to a spring-mass system.
What is a spring-mass system?A spring-mass system is a system where a mass of object is attached at the free end of the spring. The system will perform a simple harmonic motion where the oscillations occur periodically. The period of any moving object in that motion can be counted as follows
T = 2π√(m/k)
Where
T = period (s)m = mass of object (kg) k = spring constant (N/m)Find the formula for the spring constant k in terms of T and m!
We use the formula above to find k.
T = 2π√(m/k)
√(m/k) = T/2π
m/k = (T/2π)²
m/k = T²/4π²
k = 4π²m/T²
Hence, the formula for the spring constant in the spring-mass system is k = 4π²m/T². The answer is A.
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