A proton moving eastward with a velocity of 5. 0 km/s enters a magnetic field of 0. 20 T pointing northward. What are the magnitude and direction of the force that the magnetic field exerts on the proton

The linear acceleration of the person's hand is given by:

a = (mg * r)/I.

The constant acceleration of a moving item travelling in a straight line is referred to as linear acceleration. It is described as the rate at which linear velocity changes in relation to time.

Since the cylinder is suspended in midair, the tension in the string equals the weight of the cylinder, which is given by:

T = mg

where m is the mass of the cylinder and g is the acceleration due to gravity.

The torque exerted by the tension on the cylinder is given by:

τ = Tr

where r is the radius of the cylinder.

Since the center of mass of the cylinder is not moving, the net torque on the cylinder must be zero. Therefore:

τ = Iα

where I is the moment of inertia of the cylinder and α is its angular acceleration.

Substituting the expressions for τ and T, we get:

Tr = Iα

Solving for α, we get:

α = Tr/I

The linear acceleration of the person's hand is equal to the product of the angular acceleration and the radius of the cylinder:

a = αr

Substituting the expressions for α and T, we get:

a = Tr/I * r = (mg * r)/I

Therefore, the linear acceleration of the person's hand is given by:

a = (mg * r)/I.

Learn more about linear acceleration on:

https://brainly.com/question/30641154

#SPJ4

In a dark field, when a disk has a refractive index (n) of 2, the color(s) of the associated fringe will be red-green. This is due to the phenomenon of thin-film interference, where light waves reflect off the front and back surfaces of the disk and interfere with each other.

The interference causes certain wavelengths of light to cancel out, resulting in the appearance of colored fringes. In this case, the thickness of the disk causes destructive interference for wavelengths of light that appear red-blue, leaving only the green-red fringes visible. Understanding the principles of thin-film interference is important in fields such as optics and materials science, where precise control of light and color is required.

To Learn more about interference Click this!

brainly.com/question/12896773

#SPJ11

Answer: There is no pic homie

Explanation:I am on the same question, so I can’t help :(

The types of baryonic matter are most abundant in the universe are hydrogen and helium

Baryonic matter is the kind of matter that constitutes an ordinary matter, which is everything around us, these are the building blocks that form atoms. Some of the types of baryonic matter that are most abundant in the universe are hydrogen and helium. Hydrogenhis is the most abundant element in the universe, it makes up about 74% of the elemental mass, with most of the rest being helium. Hydrogen gas can be found in most galaxies, usually in the form of molecular hydrogen gas or in atomic form.

Helium is the second most abundant element in the universe, it is formed through nuclear fusion in the hearts of stars and also in supernova explosions, the vast majority of helium is in stars rather than in the interstellar medium. Carbon is the fourth most abundant element in the universe, after hydrogen, helium, and oxygen. Carbon atoms are produced inside stars through fusion of helium and other elements, they are also found in molecules in the form of carbon monoxide (CO) and carbon dioxide (CO2). So therefore the most abundant types of baryonic matter in the universe are Hydrogen and Helium.

Learn more about hydrogen at

https://brainly.com/question/29765115

#SPJ11

A musty, moldy smell in the air-conditioning system is usually due to mildew-type fungus growth. This type of fungus thrives in warm and damp environments, which makes air-conditioning systems a perfect breeding ground.

When the air-conditioning system is not used regularly, the moisture that is generated from the cooling process can accumulate in the ductwork and evaporator coil, which then creates a perfect environment for mold and mildew growth. This can result in the unpleasant odor that can spread throughout your home or office.

To prevent mildew growth, it is important to keep your air-conditioning system clean and well-maintained. This includes regular cleaning and changing of air filters, cleaning the evaporator coils, and ensuring that the drainage system is functioning properly. In addition, it is important to use a dehumidifier in areas with high humidity levels to reduce moisture in the air.

If the musty smell persists despite your efforts to clean and maintain your air-conditioning system, it may be a sign of a more serious issue. It is important to contact a professional HVAC technician to inspect your system and address any underlying issues.

to know more about air-conditioning systems click this link

brainly.com/question/32246245

#SPJ11

Answer: I believe it’s location D. Or whichever is the location of slow crystallization.

Explanation: Slow crystallization of magma forms granite. Hope this helps. :)

Answer:

D

Explanation:

Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0

a) Calculation:For F = Gm₂ m₂ / r^2.

Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.

Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))

b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.

Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]

Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.

Let's choose the unit normal to the surface S as k (along the z-axis).

The curl of F is a vector field perpendicular to the plane and along the direction of k.

Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]

Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).

Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].

Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.

Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.

Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.

Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).

This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.

On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).

Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.

Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).

Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.

Learn more about position vector here ;

https://brainly.com/question/14552074

#SPJ11

The inductance of the air-filled cylindrical inductor is approximately 1.24 mH.

To find the inductance of an air-filled cylindrical inductor, we can use the formula:

L = (μ₀ * N² * A) / l

where L is the inductance, μ₀ is the permeability of free space (4π × 10⁻⁷ H/m), N is the number of turns (3100), A is the cross-sectional area of the inductor, and l is the length of the inductor.

First, we need to find the cross-sectional area A. Given the diameter of the inductor is 4.0 cm, we can find the radius (r = diameter/2) and convert it to meters:

r = 4.0 cm / 2 = 2.0 cm = 0.02 m

A = π * r² = π * (0.02 m)² ≈ 0.00125664 m²

Next, we'll convert the length of the inductor to meters:

l = 32.5 cm = 0.325 m

Now, we can plug in the values into the formula:

L ≈ (4π × 10⁻⁷ H/m * 3100² * 0.00125664 m²) / 0.325 m

L ≈ 1.24 × 10⁻³ H

Learn more about inductance here:-

https://brainly.com/question/18575018

#SPJ11

Answer:

I think it's 7 × 10²

Explanation:

0.0035 time 200000 is 700 and 700 in scientific notation is 7 × 10²

Though i'm not certain if that is correct

The ordered triplet of values for V would be (vx, vy, vz), where vx, vy, and vz are the x, y, and z components of the vector, respectively.

A vector is a mathematical object that has both magnitude and direction. The magnitude of a vector is the length of the vector, while the direction is the angle the vector makes with the x-axis in a two-dimensional plane or the x, y, and z axes in a three-dimensional plane.

The values of a vector can be expressed as an ordered triplet of values, separated by commas. For example, in two dimensions, a vector with a magnitude of 3 and an angle of 60 degrees would be expressed as (3, 60). In three dimensions, the same vector would be expressed as (3, 60, 0).

Learn more about Vectors:

https://brainly.com/question/25705666

#SPJ4

Considering the definition of impulse, the impulse of the force is 11.06 N×s.

Impulse is a term that quantifies the overall effect of a force acting over time.

In other words, the mechanical impulse of a force relates said force to the duration of its action. It is a vectorial magnitude that has the direction and sense of the force that produces it.  

The impulse I is the product between a force and the time during which it is applied:

I= force× time

The unit of the impulse is the N×s (newton per second).

In this case, you know:

Replacing in the definition of impulse:

I= 1400 N× 0.0079 s

Solving:

I= 11.06 N×s

The impulse of the force is 11.06 N×s.

Learn more about impulse:

https://brainly.com/question/13333793?referrer=searchResults

One way to determine if a vehicle is approaching from around a blind intersection is to b. Listen for sounds or pay attention to auditory cues.

A street intersection is a location where two streets merge or cross. One can learn about the existence of vehicles even if they are not immediately apparent by listening for the noises of approaching vehicles, such as the engine noise, tyre screeching or honking. When approaching blind intersections where your eyesight can be restricted, this can be extremely useful.

When travelling through blind intersections, listening for aural cues can give you important information that can assist you in making wise choices and acting in the right ways. This auditory information should be efficiently employed in conjunction with other safety precautions, such as paying attention to traffic signs, scanning the area for visual indications, and driving slowly.

Read more about intersection on:

https://brainly.com/question/32411836

#SPJ4

Complete Question:

One way to determine if a vehicle is approaching from around a blind intersection is to:

a. Keep to the left of the road or in the left-hand lane

b. Listen for sounds or pay attention to auditory cues.

c. Steer smooth and precise

Answer:

B.d

mark me as brainlist

Answer:

D. b

Explanation:

the endpoint of vector b is at 3, which means the length is 3

The calculated moments are: MA = 81 N·m (clockwise moment at A) and Md = 47.25 N·m (counterclockwise moment at D).

To calculate the moments MA and Md, we need to consider the forces applied at points A and D and the respective lever arms.

Given: Magnitude of force, F = 225 N

Radius of the inner ring, r₁ = 0.360 m

Radius of the outer ring, r₂ = 0.210 m

1. Calculation of MA:

MA = F r₁ (clockwise moment at A)

MA = 225 N × 0.360 m

MA = 81 N·m

2. Calculation of Md:

Md = F r₂ (counterclockwise moment at D)

Md = 225 N × 0.210 m

Md = 47.25 N·m

Therefore, the moments MA and Md are:

MA = 81 N·m

Md = 47.25 N·m

Read more on couple moment here: https://brainly.com/question/26117248

#SPJ11

The power supplied by the person to the box is approximately 117.6 Watts, calculated based on the force of friction and the velocity of the box. The force applied by the person is equal to the force of friction.

To determine the power supplied by the person to the box, we need to calculate the force applied by the person and then multiply it by the velocity of the box. The force applied by the person can be found by considering the equilibrium of forces.

The force of kinetic friction can be calculated using the formula:

\(F_{\text{friction}}\) = μ * N

Where:

μ is the coefficient of kinetic friction (given as 0.5)

N is the normal force exerted on the box

The normal force is equal to the weight of the box since it is on a horizontal surface:

N = m * g

Where:

m is the mass of the box (given as 40 kg)

g is the acceleration due to gravity (approximately 9.8 m/s²)

Next, the force applied by the person can be calculated by subtracting the force of friction from the force required to maintain constant velocity:

\(F_{\text{applied}}\) = \(F_{\text{friction}}\)

Finally, we can calculate the power supplied by the person using the formula:

Power = Force * Velocity

Substituting the known values:

Power = \(F_{\text{applied}}\) * Velocity

Now let's calculate the power supplied by the person:

N = m * g = 40 kg * 9.8 m/s² = 392 N

\(F_{\text{friction}}\) = μ * N = 0.5 * 392 N = 196 N

\(F_{\text{applied}}\) = \(F_{\text{friction}}\) = 196 N

Velocity = 0.6 m/s

Power = \(F_{\text{applied}}\) * Velocity = 196 N * 0.6 m/s = 117.6 Watts

Therefore, the power supplied by the person to the box is 117.6 Watts.

To know more about the force of friction refer here :

https://brainly.com/question/13707283#

#SPJ11

Answer:

I think the answer is D.)

Explanation:

If it means something needs to melt into liquid i would have gone with B.) or C.) but since it doesn't specifiy. I thought D.) since all you have to do is heat it and it melts or boils.

The resistance of the wire is  3.8 × 10⁻² Ω.

option 3.

The resistance of the wire is calculated as follows;

R = ρL/A

Where;

The resistivity of copper at 20°C = 1.77 x 10⁻⁸ Ω·m.

The resistance of the wire is calculated as;

R = (1.77 x 10⁻⁸ Ω·m) x (6.50 m) / (3.0 x 10⁻⁶ m²)

R = 3.8 × 10⁻² Ω

Learn more about resistance here: https://brainly.com/question/17563681

#SPJ1

Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

Indeed, this was a beautiful ceremony and although I was a tourist, I thoroughly enjoyed myself and even participated in the killing of the goat which was the reason for the festival and celebration.

This refers to the storytelling that is done with the aid of a narrator in order to advance a plot.

Hence, we can see that Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

Read more about narrations here:

https://brainly.com/question/1934766

#SPJ1

Answer:

The convex lens is shaped so that all light rays that enter it parallel to its axis cross one another at a single point on the opposite side of the lens.

Explanation:

The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.

Given the following data:

Resistors = 20 Ohms.

Voltage = 120 Volts.

Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:

RT = R1 + R2 + R3

RT = 20 + 20 + 20

RT = 60 Ohms.

Next, we would determine the current that is flowing through the circuit by applying Ohm's law.

From Ohm's law, we have:

V = IR

I = V/R

I = 120/60

I = 2 Amperes.

Read more resistance here: https://brainly.com/question/25813707

According to Newton's first law, an unbelted victim in a car accident will continue to move in the same direction and with the same speed until the dashboard causes a change in motion.

Inertia is the tendency of an object to remain in motion in the absence of an unbalanced force. It is the property of an object to resist any change in motion unless acted upon by an external force.

The dashboard applies an external force that changes the direction and speed of the victim. This is because the person has no external forces acting on them to cause them to stop. Since they were in motion at the time of the accident, they will continue in that motion unless acted upon by another force, such as the dashboard, until they come to a stop or another force acts upon them.

Therefore, the best exemplifies the law of inertia. The law of inertia states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by an external unbalanced force.

Learn more about the speed at

brainly.com/question/24091038

#SPJ11

A football player throws a football 30 meters in 2.5 seconds, divide 30 by 2.5 and get 12.

An object's speed, also known as "v," is the amount by which its position changes over time or by how much it changes per unit of time, making it a scalar number.  

The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is equal to the distance traveled by the object divided by the duration of the period. Velocity and speed are not the same thing.

The parameters of speed are time divided by distance. The metre per second (m/s), the SI measure of speed, is the most widely used unit of speed in daily life.

Therefore, A football player throws a football 30 meters in 2.5 seconds, divide 30 by 2.5 and get 12.

To learn more about Football layer, refer to the link:

https://brainly.com/question/10515624

#SPJ6

The light emitted by neon signs is not a continuous spectrum, but a discrete one, consisting of only a few colors. This is due to the specific energy transitions that occur within the gas atoms when they are excited by an electrical current.

Neon signs emit a specific type of light called a discrete spectrum, which consists of only a few colors rather than a continuous spectrum. This is because neon signs are gas-discharge lamps that contain neon gas, along with other gases like argon or helium.

When electrical current passes through the gas, the electrons in the gas atoms become excited and jump to higher energy levels. As these excited electrons return to their original, lower energy levels, they emit photons of specific wavelengths corresponding to the energy difference between the levels.

This process results in the production of distinct colors rather than a continuous range of colors. The characteristic red-orange glow of neon signs, for instance, is due to the emission of light at specific wavelengths related to neon gas. Other gases can be added to create different colors, but the spectrum will still be discrete, not continuous.

For more such questions on continuous spectrum, click on:

https://brainly.com/question/30707254

#SPJ11

The light emitted by a neon sign constitutes only a few colors rather than a continuous spectrum. This is because neon signs work by passing electricity through a gas, usually neon, which causes the gas to emit light.

The colors of light emitted by a neon sign are determined by the type of gas used, as well as the composition of the coating on the inside of the glass tubing. Each gas emits light at a specific wavelength, which results in the characteristic colors of the neon sign. For example, neon gas emits a red-orange color, while argon gas emits blue-violet. When these gases are combined in a neon sign, they produce a limited number of colors, such as pink, purple, and yellow. The colors emitted by a neon sign are also not continuous because the energy required to produce each color is different. As the electricity passes through the gas in the sign, it excites the gas atoms and causes them to emit light at specific wavelengths. This results in distinct lines in the emission spectrum of the gas, which correspond to specific colors. In summary, the light emitted by a neon sign consists of only a few colors because it is determined by the type of gas used and the composition of the coating on the glass tubing, and the energy required to produce each color is different.

Learn more about spectrum here :

https://brainly.com/question/6836691

#SPJ11

The coefficient of the static friction(ц) between the coin and the surface is v²/gR.

The mass of the coin = m kg

The distance of the coin from the axis of rotation = R meter

Let the speed of the rotating surface = v m/sec

We know that an object moving in a circular motion on a circular path of radius R, experiences a centrifugal force which acts outwards from the axis of rotation. This force is determined by the following formula,

F = mv²/R

This force is balance by the static friction force on the coin.

Static friction force on the coin = mg × static friction(ц)

mv²/R = mg × static friction(ц)

Static friction(ц) = v²/gR

To know more about static friction, here

https://brainly.com/question/24882156

#SPJ4

The rate at which the current in the solenoid is changing at this instant is 4.4 A/s.

To determine the rate at which the current in the solenoid is changing, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced electromotive force (emf) is equal to the negative rate of change of magnetic flux through a circuit. In this case, the solenoid acts as a circuit.

The induced electromotive force (emf) is given by:

emf = -dΦ/dt

Where:

emf is the induced electromotive force,

dΦ/dt is the rate of change of magnetic flux.

For a long solenoid, the magnetic flux (Φ) can be calculated as:

Φ = B * A

Where:

B is the magnetic field strength,

A is the area of the solenoid.

The magnetic field strength inside a solenoid is given by:

B = μ₀ * n * I

Where:

μ₀ is the permeability of free space (4π × 10^-7 T·m/A),

n is the number of turns per unit length (turns/m),

I is the current flowing through the solenoid.

Let's calculate the magnetic field strength (B) inside the solenoid:

B = μ₀ × n × I

 = (4π × 10^-7 T·m/A) × (800 turns/m) × I

 = (3.1831 × 10^-4) × I T

The area (A) of the solenoid can be calculated using the formula for the area of a circle:

A = π × r^2

Where:

r is the radius of the solenoid.

Let's calculate the area (A) of the solenoid:

A = π × r^2

 = π × (0.03 m)^2

 = 0.002827 m^2

Now, substitute the values of B and A into the formula for magnetic flux:

Φ = B × A

  = (3.1831 × 10^-4) × I T × 0.002827 m^2

  = 9.0 × 10^-7 × I Wb

Next, we differentiate the magnetic flux (Φ) with respect to time (t) to find the rate of change of magnetic flux:

dΦ/dt = d/dt (9.0 × 10^-7 × I)

       = 9.0 × 10^-7 × dI/dt Wb/s

Finally, we can equate the rate of change of magnetic flux (dΦ/dt) to the induced electromotive force (emf) given in the problem statement:

emf = -dΦ/dt

    = -9.0 × 10^-7 × dI/dt Wb/s

Given that the induced electromotive force (emf) is 4.0 μV/m = 4.0 × 10^-6 V/m, we can solve for the rate of change of current (dI/dt):

4.0 × 10^-6 V/m = -9.0 × 10^-7 × dI/dt

\(\frac{dI}{dt} = \frac{-(4.0) (10^-6 V/m)}{(9.0) (10^-7)} = -4.4 A/s\)

Therefore, the rate at which the current in the solenoid is changing at this instant is 4.4 A/s.

For more questions on solenoid

https://brainly.com/question/25562052

#SPJ11

Known :

m = 2.36 × 10⁴ kg

M = 9.4 × 10³ kg

V = 2.7 m/s

Solution :

Using the principle of momentum

m • v = (m + M) • V

(2.36 × 10⁴) • v = (2.36 × 10⁴ + 9.4 × 10³)(2.7)

v = 3.77 m/s