A series consisting of a 100 ohms resistorof 0.10 Henry inductance and a 20 micro farads capacitance is connected across a 110 volts , 60hertz power source, draw the circuit diagram calculate the inductive reactance

To solve this problem, we can use the equations of motion and Newton's second law of motion. The equation of motion for an object moving at constant speed is:

x = x0 + v0t + (1/2)at^2

where x is the final position, x0 is the initial position, v0 is the initial velocity, t is the time, and a is the acceleration.

In this case, the initial position is 0 m (since the crate starts at the beginning of the 12 m distance), the initial velocity is 0 m/s (since the crate starts at rest), and the time is 12 s (since the crate moves at a constant speed of 1.50 m/s).

We can use these values to solve for the acceleration:

12 m = (1/2)(a)(12 s)^2

a = 0.5 m/s^2

Now that we know the acceleration, we can use Newton's second law of motion to find the normal force:

F = ma

N = (20 kg)(0.5 m/s^2)

N = 10 N

This is the magnitude of the normal force on the crate. Note that this is the normal force exerted by the floor on the crate, not the force of tension in the rope. To find the force of tension in the rope, we would need to consider the angle of the rope and the direction of the force.

You should emphasize during a test drive that the 2021 Versa's CVT replicates shifts like an ordinary automatic transmission by depressing the accelerator approximately 75% of the way to the floor.

You should emphasize during a test drive that the 2021 Versa's CVT replicates shifts like an ordinary automatic transmission by depressing the accelerator approximately 75% of the way to the floor.

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When then the ball is stopped by the hand due to reaction force by the hand which is equal in magnitude but is opposite in direction to the force applied by the ball.

According to Newton's third law of motion, the reaction would be equal and opposite to the person pushing on the ball, so the ball pushing on the person.

When a ball is thrown on the floor or a wall, it bounces back. The force exerted by the ball on the ground or wall is the action force. The force that the ground or wall exerts on the ball in response to the action force causes the ball to jump or bounce back.

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The magnitude of the emf induced in the coil is - 1.134 dB/dt. If the initial magnitude of the magnetic field 0.5 T in 0.5 s is reduced to zero uniformly the magnitude of the emf induced in the coil is 1.134 Volt.

The formula to calculate the magnitude of the emf induced in the coil when the magnetic field is perpendicular to the face of the coil

ε = - NA dB/dt

[tex]\epsilon \:=\: - NA \frac{dB}{dt}[/tex]

where

The surface area of the coil is a circle A = πr²

ε = - NA dB/dt

ε = - 50 × 0.0227 × dB/dt

ε = - 1.134 dB/dt

The problem is not complete. It should tell the initial magnitude of the magnetic field and the interval time.

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The velocity of car is v= 27.42 m/s.

the 900 kg car initially moving at 30 m/s and just after it hits a 150 kg deer initially run at 12 m/s in the same direction are:-

m1 = 900kg

m2= 15okg

v1= 30 m/s

v2= 12 m/s

so, velocity is

v=(900*30 + 150*12)/(900+150)

v= 27.42 m/s.

When two objects collide, they are both subject to forces that are equal in strength and directed in opposite directions. Such forces frequently result in the acceleration of one object and the deceleration of the other object (lose momentum).

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The tension be to produce the correct frequency is 306N

The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. One event occurs per second when measuring frequency in hertz.

f= 1/2L[tex]\sqrt[/tex] μT

so

fα[tex]\sqrt[/tex] T

∴ f 1/f 2 = [tex]\sqrt[/tex]T 1/T 2

In our example, f 1 = 460 Hz, and T 1 =?

​and for f = 510 Hz, T 2 = 255.

∴

510/460  = [tex]\sqrt[/tex]T 1/255.

∴T 1 =( 510/510 )=306N.

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The distance the 55.0 Kg object will slide before coming to rest, given that it was it was initially tracing at 24 m/s is 351.22 m

First, we shall obtain the deceleration of the object. Details below

F = ma

Divide both sides by m

a = F / m

a = -45 / 55

a = -0.82 m/s²

Finally, we shall determine the distance the object will slide before coming to rest. Details below

v² = u² + 2as

0² = 24² + (2 × -0.82 × s)

0 = 576 - 1.64s

Collect like terms

0 - 576 = -1.64s

-576 = -1.64s

Divide both side by -1.64

s = -576 / -1.64

s = 351.22 m

Thus, we can conclude that the distance is 351.22 m

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Skin is the largest organ in the body and covers the body's entire external surface. It is made up of three layers, the epidermis, dermis, and the hypodermis, all three of which vary significantly in their anatomy and function.

Give a brief about layers of skin?

The skin is the largest organ of the body and covers the entire outer surface of the body. It consists of her three layers of epidermis, dermis and hypodermis, all three of which differ greatly in anatomy and function. The structure of the skin consists of a complex network and serves as the body's first barrier against pathogens, ultraviolet radiation, chemicals, and mechanical damage. It also regulates temperature and the amount of water released into the environment. This article describes the relevant anatomy of the epidermal layer of the skin, its structure, function, embryology, vasculature, innervation, surgical considerations, and clinical relevance.

Therefore, Skin is the largest organ in the body and covers the body's entire external surface. It is made up of three layers, the epidermis, dermis, and the hypodermis, all three of which vary significantly in their anatomy and function.

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Plane polarized light consists of waves that has magnetic field in which the direction of vibration is the same for all waves.

Plane polarized light consists of waves in which the direction of vibration is the same for all waves.The process of transforming unpolarized light into polarized light is known as polarization.

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Given, mass of block 30kg, initital velocity 6.1m/s, final velocity=4.5m/s, change in kinetic energy= mvi^2/2-mvi/2- mvf2/2, KE= 254.4J change in KE= heat generated by friction L=3.4*10^5J/kg, 254.4= m*3.4*10^5, m=0.748gm.

There are numerous methods for calculating an object's mass, including:

Mass Equals volume * density (m = V). The mass of an object can be calculated by multiplying its density by its volume because density is a measure of mass per unit of volume. Mass equals force times acceleration (m=F/a). Gravitational acceleration and mass are equal (m=W/g).

Center of Mass in a System of Two Particles (m1+m2) rcm equals (m1 r1+m2 r1). The sum of the products of the masses of the two particles and their respective position vectors equals the product of the total mass of the system and the position vector of the center of mass.

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16775 watts or 16.7kW is the amount of work done in 2.3 minutes when the water is pumped for a distance of 38m/s.

The sum of the displacement and the component of the applied force of the object in the displacement direction is the work done by a force. Work is accomplished when we push a block with some force; the body moves more rapidly.

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Calculation:

Given,

Distance= 38m

Rate = 25mL/s = 0.25L/s

To find work done in 2.5mins Or 150seconds

Potential energy (P.E) = (mgh) /t

P.E = (mgh) /t

     = (0.25 Ls-¹ * 9.81 * 38m) / 1sec

     = 93.195 Watts

For 1 sec 93.195 watt is used

For 2.5mins Or 180 seconds = 93.195 × 180= 16775 watts or 16.7kW power is used for the work done.

Hence, 16775 watts or 16.7kW is the amount of work done in 2.3 minutes when the water is pumped for a distance of 38m/s.

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The acceleration due to gravity on the surface of earth is lower than that at earth. The g value for titania is 0.037 m/s².

Acceleration due to gravity is the acceleration by the force of gravitation by an object. The g value can be obtained from the mass, radius or distance and universal gravitational constant G as written below:

g = G m/r²

The acceleration due to gravity for earth is 9.8 m/s². The mass of titania is 1/1700 of the mass of earth and its radius is 1/8 times that of earth. The acceleration due to gravity for titania is:

g = G (Me/1700)/ (Re/8)²

 = 64/1700  G Me/Re²

Where Me and Re be the mass and radius of earth. The g value for earth is 9.8 m/s².

Acceleration due to gravity for titania = 9.8 m/s² × 64/1700 = 0.0377m/s²

Therefore, the acceleration due to gravity of titania is 0.0377m/s².

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When a star's outer layers, which are similar to the sun's, expand, the star travels upward and becomes cooler and more bright than the sun.

What is a star ?

Most galaxies have stars distributed throughout them that are born within dust clouds. The Orion Nebula is a well-known illustration of a dust cloud of this type. Even though stars are not alive, we refer to their beginnings and endings as "birth and death." It's a useful, though fantastical, approach to explain the star's ultimately disastrous interaction with matter and energy.

The outer layers start to enlarge, chill, and lose some of their radiance. The name "Red Giant" now refers to the growing star. Convection moves the energy from the shell-burning zone to the star's outer layers. The brilliance of the star eventually rises by a factor of 1000 or so. On the HR diagram, the star will move up and to the right along the Red Giant Branch during this phase of growth.

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The 24th harmonic is the highest that could be heard  by a person.

A wave or signal that is harmonic has a frequency that is an integral (whole number) multiple of the frequency of the source signal or wave that it is being compared to. The frequency of such a signal or wave relative to the frequency of the reference signal or wave is also referred to as a component of the harmonic series by the word. The first harmonic is sometimes referred to as the basic frequency or initial wave. Higher harmonics are the next harmonics in the series. In addition to the total number of harmonics being periodic at that particular frequency, the fundamental frequency of all harmonics is also.

The word "harmonic" is used in a variety of industries, including music, radio, and all other wave-based technologies.

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The gravitational force between the large ball and the small ball, given their respective masses is 1.2×10¯¹³ N

Gravitational force between two objects is given as shown below:

F = GM₁M₂ / r²

Where

Using the above formula, we can obtain the gravitational force between the the large and small ball as follow:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 5.0×10⁻³ × 9.0×10⁻²) / 0.5²

F = 1.2×10¯¹³ N

Thus, the gravitational force is 1.2×10¯¹³ N

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The forces are balanced because Jasper weighs the same as Gemma.

Force:

A force is an influence that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, such as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Since forces are perceived as pushes or pulls, this can offer a simple explanation of how forces are described.

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The force exerted by gravity on a mass of 6.5 kg will be equal to 64 N. Hence, option A is correct.

Any operation that has the ability to alter, maintain, or modify a body's motion is considered a force in mechanics. Isaac Newton's Principia Mathematica has three laws of motion that are usually used to demonstrate the idea of force (1687). A body at rest or consistently moving in a straight path is said to remain in that state before a power is applied to it, according to Newton's first law.

Now, let's find out the force exerted by gravity,

Given,

Mass, m = 6.5 kg

Use the value of acceleration due to gravity (g) as 9.8 m/s².

f = 6.5 × 9.8

f = 63.7 or,

f = 64 N.

Therefore, the force exerted by the gravity will be equal to 64 N.

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Option C;  High biological value proteins are classified as Essential amino acids

When a proteins contains the essential amino acid in right proportion required by human being it is high biological value.

An obligatory amino acid, also known as an essential amino acid, is one that the body cannot produce quickly enough to meet its needs from scratch, necessitating dietary intake. Nine amino acids—phenylalanine, valine, threonine, tryptophan, methionine, leucine, isoleucine, lysine, and histidine—of the 21 essential amino acids for all living things cannot be produced by humans.

Six additional amino acids are classified as conditionally necessary in the human diet, which means that their synthesis may be restricted in certain pathophysiological situations, such as in infants who are premature or people who are experiencing acute catabolic distress. Arginine, cysteine, glycine, glutamine, proline, and tyrosine are the six amino acids in question. Humans can generate sufficient amounts of six amino acids that are non-essential (dispensable), meaning they are not required.

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The acceleration of center of mass of spherical shell = 2.94 [tex]m/s^{2}[/tex]

A position established in relation to an object or set of objects is the center of mass. It is the average location of all the pieces of the system, weighted according to their masses.

According the given information

Two forces act along the line of motion. Gravity down the slope,

m g sin([tex]\alpha[/tex]), and friction up the slope, F. They provide the linear acceleration and F also provides the torque about the Center of mass. This gives the equations of motion:

m a = m g sin([tex]\alpha[/tex]) - F

I dV/dt = F R

A spherical shell of mass m has moment of inertia I = 2/3 m R^2. Furthermore a pure rolling relates dV/dt and a through a = R dV/dt. So the two equations become

m a = m g sin([tex]\alpha[/tex]) - F

2/3 m a = F

These we solve for a and F:

Substituting F from the second equation gives

m a = m g sin([tex]\alpha[/tex]) - 2/3 m a

a = 3/5 g sin([tex]\alpha[/tex])

a = 3/5 × 9.80m/s^2 sin(30.0) = 2.94 [tex]m/s^{2}[/tex]

The acceleration of center of mass of spherical shell = 2.94 [tex]m/s^{2}[/tex]

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Option (D) is the correct answer

Given data:  width of each slit, a = 0.80 mm.        

distance between the slits, d = 2.6 mm

If the wavelength of light is \lambda then,

2.6 ) = 2 x (0.8) = 6.5 r=2x

x = 7 ( taking the next higher integer of 6.5)

The wavelength of a wave describes how lengthy the wave is. The distance from the "crest" (top) of 1 wave to the crest of the following wave is the wavelength.

Alternately, we can degree from the "trough" (bottom) of 1 wave to the trough of the subsequent wave and get the equal price for the wavelength.

SI unit of wavelength is metre . At the same time as measuring wavelength the multiples or fractions of a metre is also used. Extensively, exponential powers of 10 are used whilst wavelengths are of a huge assets.

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The change in the total kinetic energy (ΔKE) is determined as -1.77 J.

The final speed of the train is calculated by applying the principle of conservation of linear momentum for elastic collision.

Note:

The final speed of the toy train is calculated as;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

(1.45 x 4.8) + (3.55 x 2.35) = (1.45 x 1.9) + (3.55v₂)

15.30 = 2.755 + 3.55v₂

15.30 - 2.755 = 3.55v₂

3.55v₂ = 12.545

v₂ = 3.53 m/s

The change in the kinetic energy is calculated as follows;

ΔK.E = ¹/₂m₂(v₂² - u₂²) +  ¹/₂m₁(v₁² - u₁²)

ΔK.E = ¹/₂(3.55)(3.53² - 2.35²) +  ¹/₂(1.45)(1.9² - 4.8²)

ΔK.E = 12.32 J - 14.08 J

ΔK.E = -1.77 J

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speed of the electron is v= 1.371 x 10⁶ m/s.

briefly:-

wavelength of the ultraviolet light beam ARE , λ = 130 nm = 130 x 10⁻⁹ m

the work function of molybdenum surface IS, W₀ = 4.2 eV = 6.728 x 10⁻¹⁹ J

energy of the incident light is :-

E = hf

where;

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

f = c / λ

E = hν = hc/λ

E =15.29810-19 J

Photo electric effect equation is;-

E = W₀ + K.E

Where;

K.E =the kinetic energy of the emitted  are electron K.E = E - W₀

K.E = 15.291 x 10⁻¹⁹ J *- 6.728 x 10⁻¹⁹ J

K.E = 8.563 x 10⁻¹⁹ J

Kinetic energy of  emitted electron is ;

K.E = ¹/₂mv²

where;

m =mass of the electron = 9.11 x 10⁻³¹ kg

v is the speed of the electron

K.E. = 1/2 m v2.

V=1.371 x 10⁶ m/s.

speed of the electron is v=1.371 x 10⁶ m/s.

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A typical problem of becoming an adult is getting along with our partner.

Adulthood is the stage of life when a person has fully developed physically and intellectually. Adulthood is typically assumed to start around 20 or 21 years old. Old age begins at the age of 60 and follows middle age, which starts around the age of 40.

The topic of adult development is briefly discussed after that. See human development and human behaviour for a comprehensive discussion.

Early and middle adulthood are physically characterised by slow, steady losses in body functioning, which quicken when old age is reached. Through the mid-20s, muscular mass continues to rise before progressively declining after that. Up until around age 30, the skeletal mass grows; after that, it starts to diminish, first in the core skeleton (the pelvis and spine), then in the peripheral skeleton.

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The critical angle is 76.7°

The value of this critical angle is given by where n2 is the refractive index of the second medium and n1 is the refractive index of the first medium. When light travels from a medium with a higher refractive index to a medium with a lower refractive index, the critical angle is the angle of incidence above which light is only reflected (no refraction occurs).

The critical angle in this problem is given by because the first medium in it is glass and the second one is oil.

critical angle = arc sin (1.46/ 1.50 )

critical angle = arc sin ( 0.973 )

critical angle = 76.7°

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Water has a high specific heat, thus it takes a lot of heat to raise its temperature. This keeps the surroundings from getting overly hot or chilly.

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Cash in dollars. Fiat money refers to any forms of currency that are issued by governments or central banks but are not backed by anything.

When money is used as a medium of exchange, it speeds up transactions between buyers and sellers because it is commonly accepted as payment for goods and services. Although most societies use money, other exchange methods have included tobacco, salt, gold, and stones.

A medium of exchange is a device or system that acts as a middleman in transactions involving the exchange of goods between parties. Currency serves as the primary means of exchange in modern economies.

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Watts per square meter kelvin (W/m2K), the SI values for the heat transfer coefficient, are used. Radiation, convection, and conduction are the three mechanisms by which heat may be transferred.

Describe heat transmission in detail:

Any or all of the several processes known as heat transfer are assumed to act as transporters of energy and entropy from one location to another. The specific mechanisms are also known by the terms convection, heat radiation, and conduction.

How is heat transfer demonstrated?

Conduction: When you hold a hot cup of coffee, heat is transferred into your hands. Convection: When the barista "steams" cold milk to produce hot chocolate, heat is transferred. Radiation: Microwave-heating a cold cup of coffee

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The direction of the propagation of the wave is -x direction.

The direction of the propagation of the wave in each case are:

A) +z direction

B) +z direction

C) -y direction

D) -x direction

\vec Ein is the Electrical field vector and \vec Bin is the Magnetic field vector, because the field vectors are always perpendicular to each other the propagation of the wave is perpendicular to the two vectors. The direction of the propagation of the wave can be found by \vec Ein X \vec Bin (Cross product of two vectors). This can also be done by using the RIGHT HAND RULE.

Cross product can be found by

i x j = k and j x i = - k

j x k=i and k x j = - i  

k x i=j and i x k = - j

where i represents the +x direction, j represents the +y direction and k represents the +z direction

The RIGHT HAND RULE can be used to illustrate the cross product by using the right hand and pointing the index finger in the direction of the first vector and the middle finger along the second vector, the cross product is in the direction of the thumb.

A) \vec Ein the +x direction,\vec Bin the +y direction,

Finding the cross product of the two vectors (i x j = k) would give a vector in the +z direction

B) \vec Ein the -y direction,\vec Bin the +x direction

Finding the cross product of the two vectors (- j x i = k) would give a vector in the +z direction

C) \vec Ein the +z direction,\vec Bin the -x direction

Finding the cross product of the two vectors (k x - i = - j) would give a vector in the -y direction

D) \vec Ein the +y direction,\vec Bin the -z direction

Finding the cross product of the two vectors (j x - k = - i) would give a vector in the -x direction

The direction of the propagation of the wave is -x direction.

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The final speed of the motorcycle is: 67 m/sec

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, although velocity is a vector, speed is a scalar quantity.

Given that,

initial speed of the motorcycle, u=25 m/sec

Acceleration of the motorcycle, a = 7 m/sec²

According to the equation of motion,

v = u + at

v = 25 m/sec + (7m/sec²) × (6 sec)

v = 67 m/sec

Thus, final speed of the motorcycle is: 67 m/sec

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