the maximum force on a force vs. time graph is 400. n and the time interval over which the force acts is from 20 ms - 40 ms. what is the average force exerted on the object?

Explanation:

The slope of a lens refers to the angle at which the lens surface is inclined relative to the optical axis of the lens. The significance of the slope of a lens depends on whether the lens is convex or concave.

In a convex lens, the slope of the lens surface is steeper at the center than at the edges. This slope is what causes the lens to converge light rays that pass through it, making it useful for applications such as focusing light in a camera or microscope. The steeper the slope, the greater the lens's refractive power, which determines how much the lens bends the light passing through it.

In a concave lens, the slope of the lens surface is steeper at the edges than at the center. This slope causes the lens to diverge light rays that pass through it, making it useful for applications such as correcting nearsightedness. The flatter the slope, the greater the lens's refractive power, which determines how much the lens bends the light passing through it.

In both convex and concave lenses, the slope of the lens surface is a crucial factor in determining the lens's optical properties. The curvature of the lens surface determines the amount of bending of light rays passing through it, and the slope determines the magnitude of that bending.

Answer:

Explanation:

The slope helps to converge and diverge the light rays making enlarged and small images

The optical power of eyeglass lens required to correct the vision of a nearsighted person with a far point of 30cm is -3.33 diopters (D).

The optical power of an eyeglass lens required to correct the vision of a nearsighted individual is determined by their far point. The far point is the maximum distance at which the person can see objects clearly without any visual aids. A nearsighted individual has a far point that is closer than the normal far point of infinity. To determine the optical power needed to correct the nearsightedness, the far point distance is converted to meters and then the reciprocal of that value is calculated to obtain the optical power in diopters. For example, if the far point is 30 cm, the optical power needed to correct the nearsightedness is approximately 3.33 diopters. This optical power can be achieved by wearing eyeglass lenses with the appropriate refractive power.

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The synchronous motor and generator need to have a speed ratio of 1.2 (60 Hz/50 Hz) in order to convert 60 Hz to 50 Hz power. Therefore, the number of poles in each machine must be such that their synchronous speeds are in the ratio of 1.2. So if the synchronous speed of the motor is Ns1, the synchronous speed of the generator must be Ns2 = 1.2 Ns1.

The synchronous speed of a machine is given by the formula: Ns = (120f)/P where f is the frequency and P is the number of poles.

For the motor, we get: Ns1 = (120*60)/P1

For the generator, we get: Ns2 = (120*50)/P2

Equating these, we get: P2 = 1.2 P1

So if the motor has P1 poles, the generator should have P2 = 1.2 P1 poles in order to convert 60 Hz to 50 Hz power.

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The galaxies which contain a mixture of old and young stars are ellipticals and spirals.

Galaxies can be classified into three basic types: elliptical, spiral, and irregular. The most frequently observed and most easily recognized of the three types is spiral galaxies. Spiral galaxies are a type of galaxy with a structure that resembles a disk. They have arms that spiral outwards, giving the galaxy the appearance of a pinwheel.

The galaxies that contain a mixture of old and young stars are ellipticals and spirals.

Elliptical galaxies, as opposed to spiral galaxies, have a smooth, oval form. Elliptical galaxies have no spiral arms and, unlike spiral galaxies, contain very little gas and dust, which implies that there are no new stars being formed in these galaxies.

Irregular galaxies are galaxies that do not fall into any of the other two groups. Irregular galaxies do not have the symmetry of spiral galaxies or the rounded shape of elliptical galaxies, and they lack the structure that is typical of other galaxies. Irregular galaxies are thought to be relatively rare.

Therefore, the correct answer is: ellipticals and spirals.

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When placed near a negatively charged metal sphere.The electric field strength at this location is 1.25 × 10⁴ N/C directed toward the sphere .

Electric field strength = 6.00 ×10⁻² N -   4 .80 × 10⁶ C

                                                     =   1.25 × 10⁴N/C

The intensity of an electric field at a specific location is quantified by its electric field strength. The volt per meter (V/m or Vm-1) is the most common measurement. A potential difference of one V between two points separated by one meter is represented by a field strength of one V/m. The intensity of an electric field at a specific location is quantified by its electric field strength.

Where electric field lines are closer together, the field is stronger, and where they are further apart, the field is weaker. As you get further away from a point charge, the electric field gets weaker.

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Wegener's theory of continental drift was an important early step in our understanding of how the continents move, but it lacked a complete explanation for the forces driving their movement.

Alfred Wegener's theory of continental drift proposed that the continents were once joined together as a single landmass, which he called Pangaea, and that they gradually moved apart over time. He suggested that the continents moved due to the forces of tides, centrifugal forces, and other factors. Although Wegener's theory was met with skepticism when it was first proposed in the early 20th century, it is now widely accepted as a valid explanation for the movement of continents.

Wegener based his theory on several lines of evidence, including the fit of the continents, the distribution of rocks and fossils, and the presence of glacial deposits in areas that are now too warm for glaciers. However, his explanation for the forces driving the movement of the continents was incomplete and lacked a plausible mechanism. It was not until the discovery of plate tectonics in the mid-20th century that a more complete explanation for continental drift was provided.

Plate tectonics explains the movement of the continents by the movement of the plates that make up the Earth's crust. The plates are driven by convection currents in the mantle, which move material up from the hot interior of the Earth, causing the plates to move apart, slide past each other, or collide. As the plates move, they carry the continents with them, causing them to drift apart or come together.

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Indeed, Alfred Wegener's assertions make logical. His hypothesis of continental drift, which is backed by a variety of geological and paleontological data, postulated that the continents were originally united together in a single landmass before drifting apart.

According to Alfred Wegener's hypothesis of continental drift, Pangaea, all the continents previously belonged to a single supercontinent. He thought the continents drifted to their present locations over millions of years after the supercontinent started to disintegrate some 200 million years ago. The matching of geological characteristics and fossils across continents, the resemblance of rock formations and mountain ranges, and the discovery of magnetic stripes on the ocean floor have all been used to support this idea, which was previously viewed with suspicion. In light of this, Wegener's assertions that the continents were originally linked and then drifted apart make sense, and his hypothesis has completely changed how we think about the Earth's past and current dynamics.

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We must compute the following in order to resolve this issue:The entire price of purchasing 100 N moon pebbles.the money earned from the sale of 35 kg of lunar pebbles on eBay.The money made from selling the last of Mars' moon rocks.The whole profit, which is the sum of the total costs minus the total revenues

Buzz has always been a made-up character, both in our reality and the universe of Toy Story, as MacLane's remarks have made clear. While Pixar fans would want to see Andy and his Buzz Lightyear action figure make another appearance, MacLane emphasised that Lightyear was created as a true independent movie.

The triotagonist in the story is Jessie the Cowgirl.Toy Story series. She is the love interest of Buzz Lightyear. She first appeared in Toy Story 2.

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The quality factor of a series resonance band-pass filter when the same resistor, capacitor, and inductor are used is 20.

The quality factor of a series resonance band-pass filter when the same resistor, capacitor, and inductor are used is the reciprocal of the quality factor of the parallel resonance band-pass filter.
In this case, the quality factor of a parallel resonance band-pass filter is found to be 0.05. If the same resistor, capacitor, and inductor are used to construct a series resonance band-pass filter, the quality factor of the filter is given by;

Qs = 1/QR

Where, Qs = Quality factor of a series resonance band-pass filter, QR = Quality factor of a parallel resonance band-pass filter.

Therefore,

Qs = 1/0.05 = 20

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In the given process, work done by the friction is equal to the work done by the force applied. The work done by the force applied is equal to the product of force and distance, i.e. 25N x 18m = 450J.

The work done by friction will be equal to the change in kinetic energy of the box which is equal to 1/2 mv², where m is the mass of the box and v is the velocity of the box. Here, m = 4kg and v = 5m/s.

Therefore, work done by friction = 1/2 x 4x (5)² = 50J. Thus, the total work done by the friction in the given process is 50J.

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A disk and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, the one that reaches the bottom of the incline first if there is no slipping is the hoop.

A hoop is a type of toy that is in the shape of a circle, it is usually made of metal or plastic and is often used by children to play games. A hoop is a uniform body that has a radius r and mass m. The moment of inertia of a hoop is given by I=mr2. The kinetic energy of a rolling hoop is given by K=12mv2+(1/2)Iω2.

Therefore, for a rolling hoop, the energy is shared between the kinetic energy of the center of mass and the rotational energy. The net force acting on the hoop as it rolls down the inclined plane is F=mgSinθ−(1/2)ma.

The acceleration of the hoop is given by a=(2/3)(gSinθ).

The acceleration of the disk is given by a=(1/2)(gSinθ).

Thus, the hoop will reach the bottom of the incline faster than the disk.

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Answer:

The accelerating voltage needed to produce electrons with wavelength 0.0600 nm is 590 V.

Explanation:

In an electron microscope, the accelerating voltage needed to produce electrons with wavelength 0.0600 nm is 590 V.

An electron microscope is a microscope that employs a beam of electrons as a source of illumination. Because of their short wavelengths, electrons can provide higher resolution images than light microscopes.

Theoretically, this would make it possible to distinguish between two points that are less than a single angstrom apart (0.1 nm).

In an electron microscope, the accelerating voltage needed to produce electrons with a wavelength of 0.0600 nm is given by the de Broglie wavelength equation.

The formula for de Broglie wavelength is: λ = h / p Where,λ is the wavelength of electrons. h is Planck's constant, 6.63 × 10−34 J·s. p is the momentum of electrons, m·v.

Now, the momentum of an electron is given by: m· v = √(2mkT) Here, m is the mass of electrons, k is Boltzmann's constant, and T is the temperature.

As the initial kinetic energy is negligible, we assume that the initial velocity of electrons is zero.

Therefore, the formula for momentum becomes: m· v = √(2mkT) = √(2m·0·kT) = 0 Also, we know that p = mv So, p = 0, which means λ = h / p = ∞This indicates that the de Broglie wavelength of the electrons is undefined, or infinite.

Therefore, we cannot use the de Broglie wavelength equation to find the accelerating voltage.

However, we can use the following formula to find the accelerating voltage: voltage = (h^2 / 2m) × (1 / λ^2)Substituting the given values, we get: voltage = (6.63 × 10^-34 J·s)^2 / (2 × 9.11 × 10^-31 kg) × (1 / (0.0600 × 10^-9 m)^2)

Therefore, the accelerating voltage needed to produce electrons with wavelength 0.0600 nm is 590 V.

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Therefore, option c) is the correct statement since the image produced by a convex mirror is always smaller than the object and hence larger than one produced by a plane mirror in its place.

A convex mirror is a spherical mirror with its reflective surface bulging outward, away from the incident light. It is also called a diverging mirror since it diverges the incoming light rays.

The image formed by a convex mirror is always virtual, meaning that it cannot be projected on a screen. It is formed by the apparent intersection of the reflected light rays, and it appears to be behind the mirror. Since the light rays are diverged by the convex mirror, the image produced is always smaller than the actual object. Hence, option e) is false.

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Answer:

a) The work function (in eV) can be calculated using the formula:

Φ = hν - EK

where h is the Planck constant (6.626 x 10^-34 J·s), ν is the frequency of the radiation, and EK is the maximum kinetic energy of the emitted photoelectrons.

First, we need to convert the minimum frequency of electromagnetic radiation to energy using the formula:

E = hν

E = (6.626 x 10^-34 J·s) x (8.9 x 10^14 s^-1) = 5.90 x 10^-19 J

Next, we can use the formula for work function:

Φ = E - EK

where E is the energy of the incident photon, which we have already calculated.

Φ = (5.90 x 10^-19 J)/(1.602 x 10^-19 J/eV) = 3.68 eV

b) i. To calculate the maximum kinetic energy of the emitted photoelectrons, we can use the formula:

EK = hc/λ - Φ

where h is the Planck constant, c is the speed of light (3.00 x 10^8 m/s), λ is the wavelength of the incident radiation, and Φ is the work function.

First, we need to convert the wavelength of the incident radiation to meters:

λ = 250 nm = 250 x 10^-9 m

Now we can calculate the maximum kinetic energy:

EK = [(6.626 x 10^-34 J·s) x (3.00 x 10^8 m/s)]/(250 x 10^-9 m) - 3.68 eV

EK = 2.49 eV

ii. To calculate the maximum velocity of the emitted photoelectrons, we can use the formula:

EK = 1/2 mv^2

where m is the mass of the electron and v is its velocity.

First, we need to convert the maximum kinetic energy to joules:

EK = 2.49 eV x 1.602 x 10^-19 J/eV = 3.98 x 10^-19 J

Now we can solve for the velocity:

v = √(2EK/m)

where m is the mass of an electron (9.11 x 10^-31 kg)

v = √[(2 x 3.98 x 10^-19 J)/(9.11 x 10^-31 kg)]

v = 1.61 x 10^6 m/s

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Option c.The statement that relates to Bernoulli's principle is Air traveling faster over the curved upper surface of an airfoil causes lower pressure on the top surface.

The statement that pertains to Bernoulli's principle air passing quicker across the curved upper surface of an airfoil creates lower pressure on the top surface. Bernoulli's principle is a concept of fluid dynamics that states that as the speed of a fluid (gas or liquid) increases, the pressure within the fluid decreases. It is the explanation for the phenomenon of lift that keeps airplanes flying.

So "air traveling faster over the curved upper surface of an airfoil causes lower pressure on the top surface" is correct.

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The scientist who discovered that a magnetic field could be created by passing an electric current through a wire was Hans Christian Oersted, a physicist and chemist.

Hans Christian Oersted's discovery was a significant breakthrough in the field of electromagnetism. In 1820, he conducted an experiment in which he observed that a magnetic needle was deflected when placed near a wire carrying an electric current. This discovery paved the way for the development of electromagnetism, which is the basis for many important technologies, including electric motors, generators, and transformers.

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Answer:

p1v1=p2v2

v2=p1v1/p2

=(1 atm ×12 L)/2 atm

v2= 6 L

The SI unit of k is, the y component of the force is given by and  the y component of the force on the particle is J/m,-ky/√(x² + y² + z²) and -0.429 J/m respectively.

(a) The potential energy function of a particle is given by U(r) = kr, where k is a constant. The units of k can be determined by considering the units of potential energy and distance. The SI unit of potential energy is joules (J), and the SI unit of distance is meters (m). Therefore, the SI unit of k is J/m.

(b) The force on a particle is given by the negative gradient of the potential energy function. That is,

F = - ∇U

where ∇ is the gradient operator. In Cartesian coordinates, the y component of the force is given by:

Fy = - ∂U/∂y

To find ∂U/∂y, we need to express U in terms of y. Using the equation for r given in the problem statement, we have:

r² = x² + y² + z²

Substituting this expression into the equation for U, we get:

U = kr = [tex]k(x^2 + y^2 + z^2)^{(1/2)}[/tex]

To find ∂U/∂y, we differentiate U with respect to y, treating x and z as constants:

∂U/∂y = ky/√(x² + y² + z²)

Therefore, the y component of the force is given by:

Fy = - ∂U/∂y = -ky/√(x² + y² + z²)

(c) Given that U = 3.00 J when the particle is 2.00 m from the origin, we can use the equation U = kr to find the value of k:

k = U/r = 3.00 J / 2.00 m = 1.50 J/m

To find the y component of the force on the particle at the point (-1.00 m, 2.00 m, 3.00 m), we need to calculate y and plug it into the expression we derived in part (b):

y = 2.00 m

Fy = -ky/√(x² + y² + z²) = -1.50 J/m × 2.00 m / √((-1.00 m)² + (2.00 m)² + (3.00 m)²) = -0.429 J/m

Therefore, the y component of the force on the particle is -0.429 J/m.

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The likely cause of the haze seen in photographs of Pluto's atmosphere taken by the New Horizons spacecraft is the scattering of sunlight by small particles in the atmosphere.

Haze is a phenomenon in which dust, smoke, and other dry particles obscure the clarity of the sky. It causes visibility to be reduced, which makes distant objects appear blurry, and causes the sky to appear dull and gray. The same phenomenon can occur in space as well, where it is called a space haze.

Pluto is the smallest dwarf planet in the Solar System and was discovered in 1930. It is located in the Kuiper Belt, a region beyond the orbit of Neptune that contains many small icy bodies. Pluto is the largest object in the Kuiper Belt, with a diameter of 2377 km. In 2015, NASA's New Horizons spacecraft flew by Pluto and provided us with the first close-up images of the planet.

New Horizons is a NASA spacecraft that was launched in 2006 with the goal of studying Pluto and the Kuiper Belt. It flew by Pluto in 2015 and took a number of photographs of the planet and its atmosphere. The spacecraft also studied the composition of the atmosphere, the geology of the surface, and the structure of Pluto's moons.

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The top reaches an angular velocity of 28.28 rad/s when the string is fully unwound.

We can use the kinematic equation of rotational motion to solve this problem. The third kinematic equation relates the final angular velocity of a rotating object to its initial angular velocity, angular acceleration, and the angle through which it rotates:

[tex]\omega_f^2 = \omega_i^2 + 2\alpha\theta[/tex]

where θ is the angle through which the object rotates.

The number of turns the body turns to unwind the string is calculated as,

[tex]n=L/(2\pi r)[/tex]

[tex]n=80/(2\pi \times 2)[/tex]

[tex]n=6.366[/tex]

Therefore the angle turned by the body in unwinding the string is calculated as,

[tex]\theta = 2\pi \times 6.366 \ rad[/tex]

[tex]\theta = 39.99\  radians[/tex]

The initial angular velocity of the top is zero, the angular acceleration is [tex]10 \ rad/s^2[/tex], and we need to find the final angular velocity when the string is completely unwound.

Substituting the values given in the problem into the equation, we get:

[tex]\omega_f^2 = 0 + 2\times 10 \times 39.99[/tex]

Simplifying, we get:

[tex]\omega _f = 28.28 \ rad/s[/tex]

Therefore, the final angular velocity of the top when the string is completely unwound is 28.28 rad/s.

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When the cat nears the right end, the plank just begins to tip. If the cat has a mass of 4.7 kg, Cat is close to the right end of the two-by-four can it walk before the board begins to tip is: 1.52m

The cat can walk up to 1.52 m from the right end of the two-by-four before it begins to tip. This is because the plank has a mass of 7.00 kg and the cat has a mass of 4.7 kg. The total mass is 11.7 kg, which is slightly larger than the 1.44 kg needed to tip the plank (7.00 kg multiplied by 0.44 m).

In other words, the cat's mass is greater than the additional weight needed to tip the plank. To determine how close the cat can walk to the right end before it tips, you must first determine the total weight of the plank and the cat. The total weight is the mass of the plank, 7.00 kg, plus the mass of the cat, 4.7 kg. This gives a total mass of 11.7 kg.

The distance from the left end to the center of the plank is 0.44 m. So, the additional weight needed to tip the plank is 7.00 kg multiplied by 0.44 m, which equals 1.44 kg. Since the total weight of 11.7 kg is slightly larger than 1.44 kg, the plank will just begin to tip when the cat is 1.52 m from the right end.

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Answer:

Gases don't have a fixed shape or a fixed volume. The particles move around all the time and spread out. This is why a gas fills its container and takes it shape and volume

Explanation:

Because the particles of gasses can move about each other rather freely, a gas has no definite shape so it takes the shape dictated by its container.

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The fermi energy for silver, assuming the effective mass equals the free electron mass is 5.58 x 10⁻¹⁹ J.

To calculate the Fermi energy for silver, use the following formula:

E_F = (h² / 2m) × (3π² × n)^(2/3)

where:

h = Planck's constant = 6.626 x 10⁻³⁴ J s

m = effective mass of electron = mass of free electron = 9.109 x 10⁻³¹ kg

n = number density of free electrons = 6.1 x 10²² electrons/cm³

Substituting the given values into the formula:

E_F = (6.626 x 10⁻³⁴ J s)² / (2 × 9.109 x 10⁻³¹ kg) × (3π² × 6.1 x 10²² cm⁻³)^(2/3)

E_F = 5.58 x 10⁻¹⁹  J

Therefore, the Fermi energy for silver is approximately 5.58 x 10⁻¹⁹ J.

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The ball was moving at 5.2 m/s before something dropped (also known as its velocity because it has a course of action in a given time).

Considering the data provided,

The baseball weighs 0.15 kg in terms of bulk.

A baseball has a momentum of 0.78 kilogram per second.

The momentum of an item is often exactly related to its mass and speed for something like an object travelling in such a given direction during a given period of time.

∴ Mass times speed is how you calculate momentum.

mass/momentum formula for calculating velocity

speed = 0.78 kgm/s 0.15 kg

speed = 5.2 m/s

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The main advantage of using two sets of coils to generate the magnetic field in Helmholtz's experiment instead of using just one coil centered about the electron tube is that the magnetic field is more uniform.

Helmholtz's experiment was an experiment in which an electron beam was fired through a magnetic field created by two coils. It was discovered by Hermann von Helmholtz in 1851, and the experiment was designed to study the properties of magnetic fields.

The Helmholtz coil is an instrument that produces a uniform magnetic field in a specific region of space. It consists of two circular coils, each with a radius equal to the distance between the two coils. The current in each coil flows in the same direction and produces a magnetic field that is parallel to the axis of the coils.

The advantage of using Helmholtz's coil in this experiment is that it produces a magnetic field that is much more uniform than that produced by a single coil. The coils are placed parallel to each other and the electron beam is passed between them.

By controlling the current in the coils, the strength of the magnetic field can be varied. This allows the properties of the magnetic field to be studied. The main reason Helmholtz used two sets of coils is that it produces a magnetic field that is more uniform than that produced by a single coil.

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The work that must be done to compress the spring by 6 cm is 0.3528 J.

To determine the work that must be done to compress the spring by 6 cm:

[tex]U = (1/2)kx^{2}[/tex]

where U is the potential energy, k is the spring constant, and x is the displacement from the equilibrium position :

[tex]F = kx[/tex]

where F is the force exerted by the spring and x is the displacement from the equilibrium position:

[tex]F = mg = 2 kg * 9.8 m/s^{2} = 19.6 N[/tex]

[tex]k = F/x = 19.6 N / 0.1 m = 196 N/m[/tex]

Now, to find the work required to compress the spring by 6 cm (or 0.06 m), we can use the potential energy formula :

[tex]U = (1/2)kx^2 = (1/2)(196 N/m)(-0.06 m)^{2} = 0.3528 J[/tex]

Therefore, the work that must be done to compress the spring by 6 cm is 0.3528 J.

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The human auditory system evolved to be sensitive to sounds in the range of 20 to 20000 Hz because it encompasses frequencies relevant to communication and survival, and matches the resonant properties of the human ear.

The human auditory system evolved to be sensitive to sounds in the range of 20 to 20000 Hz because this range encompasses the frequencies that are most relevant for communication and survival in the natural environment. Frequencies below 20 Hz, such as those produced by earthquakes or very low-frequency sounds in the ocean, are not very useful for communication and survival in most terrestrial environments. Frequencies above 20000 Hz, on the other hand, are less important for communication in many species and also require more energy to produce and detect. The range of 20 to 20000 Hz is also well-matched to the resonant properties of the human ear, which amplifies sounds in this range. Therefore, the sensitivity of the human auditory system to this range of frequencies is likely a product of both the ecological demands and the physical properties of the ear.

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The increase in potential by 1260 V would take t = 1260V * (2π * 0.15)/(μ * 0.0000020) seconds.

The potential difference across a conducting sphere of radius r is given by V = (μ I)/2πr, where μ is the magnetic permeability and I is the current passing through the sphere.

In this case, the radius of the sphere is 15 cm, the current passing into the sphere is 1.0000020 A, and the current passing out of the sphere is 1.0000000 A.

Substituting the given values into the equation for potential difference, we get:

V = (μ (1.0000020 - 1.0000000)) / (2π * 0.15)

Therefore, the increase in potential by 1260 V would take t = 1260V * (2π * 0.15)/(μ * 0.0000020) seconds.

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