What is the primary advantage of using phase comparison in an interference microscope?.

The magnetic force between the two parallel wires is 2.24 x 10⁻³ N/m.

The magnetic force between the two parallel wires is calculated by applying the following kinematic equation as shown below.

F/L = μI₁I₂/2πr

where;

The magnitude of the magnetic force per meter (in n/m) exerted on each wire is calculated as;

the current in the first wire = the current in the second wire = 74 A

Substitute the given parameters and solve for the force per unit length of current between the two parallel wires.

F/L = ( 4π x 10⁻⁷ x 74 x 74)/(2π x 0.49)

F/L = 2.24 x 10⁻³ N/m

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The angular acceleration of the wheel is 3,367.28 rad/s².

The angular acceleration of the wheel is calculated by applying the first kinematic equation as shown below.

ωf² = ωi² + 2αθ

where;

The given parameters include the following;

The angular acceleration of the wheel is calculated as follows;

ωf² = 0 + 2αθ

ωf² = 2αθ

α = ωf² / 2θ

α =  ( 460² ) / ( 2 x 31.42 )

α = 3,367.28 rad/s²

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Answer:

See below

Explanation:

Your 'friend ' IS electrically grounded....so the electric charge will flow from you through your friend to the ground.....likely BOTH of you will feel a shock.

Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.

The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.

That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.

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Answer: Speed increases

Explanation:

A streamlined shape reduces the surface area making contact with the fluid (in this case, water).  Less surface area making contact with the fluid means friction is reduced.  The lower the force of friction, the lower the "drag" on the object in motion, hence the faster it can go.  The force of friction is always in the opposite direction of the motion of the object.

The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.

The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.

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Electrical energy is converted into the kinetic energy of the spinning fan and the thermal energy of the heated coils within a hair dryer when the appliance is turned on.

Electrical energy is the capacity of the charged particles in an atom to start an action or move an object. The movement of electrons between atoms results in the production of electrical energy.

Every time you plug your toaster and phone charger into a wall socket, electrical energy is used to power them. Electric eels, batteries, and lightning are additional sources of this kind of power. However, electrical energy can also be converted into other types of energy, such as the thermal energy that warms your toaster and toasts your bread, or the mechanical energy that drives the acceleration of an electric car.

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The increase in energy is 100times.

The square of the distance from the source of the sound wave determines the inverse proportionality of sound intensity. The strength of a sound wave reduces with increasing distance from the source because sound waves transmit their energy via a two-dimensional or three-dimensional medium.

A sound wave's amplitude determines its intensity, and its frequency corresponds to its rate of vibration.

Acoustic intensity, also referred to as sound intensity, is the amount of energy carried by sound waves per unit of area in a direction perpendicular to that area. The SI unit for intensity, which also includes sound intensity, is the watt per square meter (W/m²).

Mathematically, the sound intensity level can be expressed as,

β(dB) = 10log₁₀(I/I₀)

β₂-β₁ =  10log₁₀(I/I₀)

30-10 = 10log₁₀(I/I₀)

20 = 10log₁₀(I/I₀)

I/I₀ = 10²(or) 100times.

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The circuit shown has the drawback that it can only operate with alternating current.

The correct answer is D

A type of electrical current known as alternating current (AC) alternates the flow of electrons periodically or in cycles between two directions. Alternating current (AC) is the kind of current that circulates through electrical outlets used in everyday homes and power lines.

Both alternating current (AC) and direct current (DC) are types of electric current (DC). The way that electrons move determines how AC and DC are different from one another. While the flow of electrons in AC is constantly changing, moving first ahead and then backward, as opposed to DC's steady movement in one direction

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Since the toy car is halting, the acceleration is -36 m/s2, which equals the toy's deceleration.

A moving object can occasionally alter its velocity by the same amount every second. The data table above depicts an item altering its velocity by 10 m/s every second, as was described in the paragraph above. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration.

The object's force is calculated by multiplying its mass by the speed at which it is traveling. The product is the vector. Kg-m/s2 or Newton is the SI symbol for force (N). The force's equation is as follows:

F = ma

where,

Force is F

m is mass

a is acceleration

The specified values for force are f = 9.0N and m = 0.25kg.

∴ F = ma

9.0 = 0.25 × a

a = 36 m/s²

Therefore, the magnitude is -36m/s2 and the negative sign denotes the toy car's deceleration.

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Bernoulli's principle produces a lift of  3770928N on a 87m²wing.

According to Bernoulli's principle, areas of a fluid flow that are moving more quickly will experience less pressure than areas that are moving more slowly.

The following memorable word equation serves as a concise summary of Bernoulli's equation in its simplified form: Total pressure equals static pressure plus dynamic pressure. Regardless of the fluid speed at a given position, every point in a constantly flowing fluid has a distinct static pressure (p) and dynamic pressure (q).

Bernoulli's principle states that the following expression represents force:

F = A × d × V²₂ - V₁²/2

F = 87 × 1.29 × (250² - 170²)/2

F = 112.23 × 33600

F = 3770928N

As a result, a wing with an area of 87 m² has a lift of 3770928N.

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A person who jumps a horizontal distance of 3.43 m on the earth will be able to jump a horizontal distance of 16.5 m on the moon.

Using the equation of projectile motion, the maximum distance formula is:

R = u² . sin(2α) / g

Where:

u = initial velocity

g = acceleration due to gravity

α = elevation angle

Assuming that the initial velocities, both on the moon and on the earth are the same both in magnitude and direction, hence the maximum distance is inversely proportional to the acceleration due to gravity.

Therefore,

Rm : Re = ge : gm    (m and e refers to moon and earth)

Rm : 3.43 = g : 0.208g

Rm =  3.43 / 0.208 = 16.5 meters

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Wavelength of 685 nmnm  and the frequency of the light 0.43765322

Light has a wavelength of 685 nm, which can alternatively be written as 685 x 10-9 m. Wavelength: [=]

We are aware that light travels at a speed of 299 792 458 m/s, or around 3 x 108 m/s. [light speed equals c]

We may use the following formula to determine the frequency (f) given the two values:

f = c / ʎ

replacing the specified values:

f = (685 x 10-9 m) / (3 x 108 m / s)

f = 0.43765322

The frequency of the light 0.43765322

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Answer:

The SI unit for the electric for is

A) Coulomb

The force constant k of the spring is 781000 N/m

What is force?

Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.

Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."

In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).

In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.

Here,

let the force constant is k

Using conservation of energy

0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2

solving for k

k = 781000 N/m

The force constant k of the spring is 781000 N/m

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Answer:

17.5175J

Explanation:

By the work-kinetic energy theorem,

[tex]W=\frac{1}{2} m{v_{f} }^{2} -\frac{1}{2} m{v_{i} }^{2}[/tex]

where [tex]v_{i}[/tex] is initial velocity and [tex]v_{f}[/tex] is final velocity. Note that their directions make no impact on the problem.

We can simplify this to:

[tex]W=\frac{1}{2} m({v_{f} }^{2} -{v_{i} }^{2})[/tex]

Now sub in our values:

[tex]W=\frac{1}{2} (3.5)({4.5 }^{2} -{3.2 }^{2})[/tex]

W= (1.75)(20.25-10.24)=17.5175J

When dumped, it would rebound all the way up to the original height.

If there is no kinetic energy lost during contact, the collision is entirely elastic. In an inelastic collision, some of the kinetic energy is converted into another kind of energy during the contact.

The system's overall kinetic energy, which includes the interacting items, remains constant both before and after the impact. A very buoyant ball might serve as an illustration of an elastic collision. If you dropped it, it would return to its original height after bouncing all the way down.

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Answer:

See below

Explanation:

1800 j/(kg C)   =     x J  / (.20 kg * 50 C)

solve for x J = 180 000 J  

The amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.

The amount of energy (Q) needed to raise the temperature of a substance can be calculated using the formula:

Q = mcΔT

where Q is the amount of energy, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.

In this case, the mass of the cooking oil is 0.20 kg, the specific heat capacity of the oil is 1800 J/(kg·°C), and the temperature needs to be raised by 50°C. Substituting these values into the formula, we get:

[tex]Q = (0.20 kg) x (1800 J/(kg·°C)) x (50°C)[/tex]

Q = 18000 J

Therefore, the amount of energy needed to raise the temperature of 0.20 kg of cooking oil by 50°C is 18000 J.

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Thus, more than 30 J of potential energy can be loosed by the ball. Thus, the gravitational potential energy of the ball is more than 30 J.

If there is no air resistance, the ball's potential energy is entirely transformed into kinetic energy. When air resistance is taken into account, a portion of the potential energy is used to overcome it. Thus, AU > AKE. In the current scenario, a ball gains 30 J of kinetic energy while falling and is treated as encountering air resistance. The energy that an object retains due to its position in relation to other objects, internal stresses, electric charge, or other factors is known as potential energy in physics. The potential energy will be transformed into kinetic energy if the stones fall. High on the tree, branches have the potential to fall, which gives them energy. Chemical potential energy exists in the food we eat.

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Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.

Electric Power can be explained as:

Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.

A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.

The Equation:

Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).

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The magnitude of the charge on the particle is 0.0083 C.

Solution:

The centripetal force if it is moving in a circle is mv^2/r. Since this is coming from the magnetic force, then

mv^2/r = qvB

q = (mv^2/r)/(vB) = (mv)/(rB)

q = .002*5/(.2*6) = 0.0083 C

The magnitude of the electric field E produced by a charged particle at a point P is the electric force per unit positive charge exerted on another charged particle at that point. The direction of the electric field is the direction of the force on the positive charge. The electric field vector magnitude is calculated as the force per charge for any testing charge in the electric field.

The force on the test charge can be directed toward the source charge or directly away from the source charge. Electron charge can be determined simply by placing a known number of electrons on one electrode of a capacitor and measuring the voltage Vs across the capacitor.

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The electron and nucleus interact electrostatically, acting as a centripetal force. As the electron's velocity is tangential and this force is radial, it is perpendicular to the electron's motion and consequently has no effect on the electrons' kinetic energy.

The electron is a subatomic particle with the symbol or an electric charge of one elementary negative charge. Due to their lack of known components or substructure, electrons, which are part of the lepton particle family's first generation, are typically considered elementary particles. The mass of an electron is around 1/1836 that of a proton. In terms of the decreased Planck constant, the electron intrinsic angular momentum (spin) has a half-integer value. The Pauli exclusion principle states that because electrons are fermions, they cannot share the same quantum state. Electrons, like all elementary particles, have characteristics of both particles and waves: they can collide with other particles and can be diffracted like light.

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She has probably lost some of her range of motion.So Full Range of Motion should she expect in her first yoga class back after such a long break.

Due to the distinctive design of our skeletal system, the range of motion is defined as the way our bodies move through space. especially how the bones adhere to one another at the joints. Because of each person's unique skeletal structure, every joint in the body has a defined range of motion. A joint's range of motion (ROM) refers to how far it can move actively or passively in a given direction. As opposed to passive ROM, which occurs when an external force moves the joint, active ROM occurs when muscles do so. There are active and passive joints (hip, knee, shoulder) and regions of the spine (neck). Performing yin yoga helps to dissolve adhesions in these tissues, restoring their ability to move freely. Vinyasa yoga extends your range of motion as well.

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Answer:

To find the displacement when the velocity is changing, a velocity-time graph is needed. Normally, velocity is plotted on the y-axis (the vertical axis) and time is plotted on the x-axis (the horizontal axis). The area under the line on a velocity-time graph is equal to the displacement of the object.

Explanation:

I hope this helps

Thousands of small rocky objects known as asteroids can be found in the solar system between Mars and Jupiter.

The Solar System is composed of the Sun and the objects that orbit it. It was created by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority of the system's mass, with Jupiter holding the majority of the remaining mass.

Asteroids are rocky bodies that orbit the Sun. Although asteroids orbit the Sun in the same way that planets do, they are much smaller. In our solar system, there are numerous asteroids. The majority of them are found in the main asteroid belt, which lies between the orbits of Mars and Jupiter.

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0.2×51000)

Explanation:

change 5ms into cms before multiplying by 0/2 kgs

The moment of inertia of the object is 0.053MR^2 .

Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

We can calculate the moment of inertia of an object that starts from rest and also has a final velocity using the energy conservation equation, as follows:

Then Ek1 + Ep1 is = Ek2 + Ep2, where

After that Ek1 is = kinetic energy of the object before rolling down

Now Ep1 is = potential energy of the object

Then Ek2 is = kinetic energy when the object comes down

After that Ep2 is = potential energy of the object at the bottom

[tex]Mgh = \frac{Iv^{2} }{2R^{2} } + \frac{MV^{2} }{2}[/tex]

putting the values, we get

19.6 M = 18.6 I/(R^2) + 18.6 M

I = 0.053MR^2

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The net force required to move the object of mass 15 kg and constant velocity is 0N

The mass of the object = 15 kg

The object is moving with a constant velocity = 3 m/s.

The net force required to move the object  can be calculated by using the formula,

                F = ma

where F is the force

          m is the mass

          a is the acceleration.

The acceleration is nothing but a rate of change of velocity (i.e. a = v/t). But for a constant velocity, the acceleration will be zero. Because there will be no change in velocity.

Therefore, the net force is

                      F = 15 x 0

                         = 0 N

Therefore, the net force is 0 N

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Answer:

60 degrees

Explanation:

The ball must  be thrown at an angle 60°.

Given parameters:

Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s.

Hout throws a ball up and forward at twice his running speed and just catches it at the same level.

So, Speed of the ball = 2× 5.82 m/s. = 11.62 m/s.

The angle at which the ball thrown = θ.

According to the question,

Horizontal component of speed of the ball = Speed of  Hout

⇒  11.62 cosθ = 5.82

⇒ cosθ = 0.5

⇒ θ = 60°.

Hence,  the ball must be thrown at 60° angle.

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Cost estimated is ₹[19/4]y/-.

Given :- Power=3kW  , Time=1hr 35min

Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour,       so 35min =35/60 hour

35min= 35/60 =7/12 hour

So total computed time = 1hr + [7/12]hr

computed time =19/12hr

Now since in the question there is no mention about cost , so let the cost be ₹y/unit.

Mathematically , Energy is the product of power and time , i.e.

E= Power x Computed time = 3 x 19/12 = 19/4 units.

Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy  is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.

Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.

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