If 6 j of work is needed to stretch a spring from 9 cm to 11 cm and another 10 j is needed to stretch it from 11 cm to 13 cm, what is the natural length (in cm) of the spring?

The resistivity comes out to be [tex]=800×10 { }^{ - 4} Ωm[/tex]

Given:

length,l=100vm or 1m

Area,A

Resistance,R

To find:

resistivity,ρ

ρ = RA/l

[tex] = \frac{400 \times 2 \times 10 {}^{ - 6} }{1} [/tex]

[tex] = 800 \times 10 {}^{ - 4} Ωm[/tex]

Thus,the resistivity comes out to be

Thus,the resistivity comes out to be [tex]=800×10 { }^{ - 4} Ωm[/tex]

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At temperature 402.71° C must a hot reservoir operate in order to achieve a 30% Carnot efficiency when the cold reservoir operates at 200 °C.

The Carnot engine is a theoretical thermodynamic cycle proposed by Leonard Carnot. It estimates the maximum possible efficiency that a heat engine during the conversion process of heat into work and, conversely, working between two reservoirs can possess.

The Carnot efficiency depends only on the temperature of the hot source and the cold sink. Carnot efficiency describes the maximum thermal efficiency that a heat engine can achieve as permitted by the Second Law of Thermodynamics.

Given

Efficiency = 30 %

T2 = absolute temperature of the heat source = T2

T1 = absolute temperature of the heat sink = 200 °C

efficiency = T2 - T1 / T2

30 /100= T2 - 200 / T2

T2 = 675.71° K

T2 = 402.71° C

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No, it's not necessary for the object with constant velocity to move in a straight line.

It can can also move in a uniform circular path.

Only when no forces are present or when all of the forces acting on an item are equal and opposite to one another, or when the total force acting on the object is zero, will its velocity remain constant. It's commonly known as equilibrium. The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force.

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Explanation:

Acceleration= 15-3/2

=6m/s²

Answer:

acceleration = [tex]\bf 6 m/s^2[/tex]

Explanation:

We can calculate the acceleration of an object using the following formula:

[tex]\boxed{acceleration = \frac{Resulatant \space\ force}{Mass}}[/tex].

The resultant force is the effective force that is being applied to an object. In this case, there is a 15N force to the right, and a 3N force to the left.

∴ Resultant force = 15N - 3N

                             = 12N

Now we can use the formula for above formula to calculate acceleration:

[tex]acceleration = \frac{12}{2}[/tex]

                    = [tex]\bf 6 m/s^2[/tex]

The magnitude of the uniform electric field, if the electric potential is -2000 v at x = 8m and is 400 v at x = 2 m in x direction will be, 400V/m.

To find the answer, we have to know more about the electric field.

                                         [tex]E=\frac{dV}{dx}[/tex]

where, dV is the potential difference at two different points of the conductor and dx is the difference of the points.

                      [tex]|E|=|-(\frac{dV}{dx} )|=|-(\frac{-2000-400}{8-2} )|\\\\|E|=400V/m[/tex]

Thus, we can conclude that, the magnitude of the uniform electric field, if the electric potential is -2000 v at x = 8m and is 400 v at x = 2 m in x direction will be, 400V/m.

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The amount of work done by the gravitational field of the earth do on the rock is 166.6d (J).

Work is done when energy is transferred from one store to another.

Work is also done when a force causes an object to move.

The amount of work done by the gravitational field of the earth do on the rock is calculated as follows;

W = Fd

where;

W = (mg)d

W = (17 x 9.8)d

W = 166.6d

Thus, the amount of work done by the gravitational field of the earth do on the rock is 166.6d (J).

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D. Water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.

Convection currents are flowing fluid that is moving because there is a temperature or density difference within the material.

Convection heat transfer takes place only in liquids and gases.

During heat transfer by convection, the heated air will rise to the top due o its lower density while the cooler air will sink to the bottom due to its higher density.

Thus, for the model of a pot of water being heated on a stove that shows thermal energy transfer, the heat transfer occurs when the water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.

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Heat is transferred to the water. The water molecules which are in the pot become more active, and the temperature of the water rises.

What is the Kinetic energy?

Kinetic energy is the energy of the objects which is present due to the motion of the object. Kinetic energy is proportional to the mass and velocity of the object. The SI unit of Kinetic energy is Joule (J).

The kinetic energy is possessed due to the motion of the particles. The kinetic energy is directly proportional to the temperature of objects. The kinetic energy of the particles increases with the rise in temperature of object or solution.

In the given situation, the pot of water is placed on the stove. Then, the heat is transferred to the water in pot. The water molecules will move faster with the rise in temperature of the water. The water molecules will have greater amount of kinetic energy due to increase in temperature.

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Protein-energy malnutrition is the condition linked to poverty, insufficient food intake, poor food quality, unsanitary living conditions, and improper feeding of infants and young children. The correct option is 4.

Protein-energy malnutrition (PEM) is a type of malnutrition that occurs when there is a deficiency in both protein and energy (calories) intake. It is often associated with impoverished and disadvantaged populations who lack access to an adequate and balanced diet. PEM can lead to severe health consequences, including stunted growth, weakened immune system, and increased susceptibility to infections and diseases.

Efforts to combat PEM include improving food security, promoting better nutrition practices, and enhancing access to essential nutrients through supplementation and fortification of food. Addressing poverty, improving living conditions, and ensuring proper healthcare and education are also crucial in preventing and treating protein-energy malnutrition in vulnerable populations.

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Answer: 10 m/s^2

Explanation:

So I think the answer might be 10 m/s^2, following the equation: d=1/2a(t^2).

Variables:

d=45(m)

t=3(s)

a=?

We know the variables "d" and "t" in the equation and have to solve for "a".

So when we plug it in it's:

45=1/2(a)(3^2)

45=1/2(a)(9)

45=4.5(a)

10=(a)

The total energy transported per hour along a narrow cylindrical laser beam 2. 40 mm in diameter, whose b-field has a RMS strength of 1. 30×10−10 will be 6.40 × 10⁻⁸J.

Intensity for an electromagnetic wave is energy crossed per second in the direction perpendicular to the propogation of electromagnetic wave which is passing per unit area.

The Intensity for an electromagnetic wave is given by:

I = cε₀E₀²

where c is the speed of light,

           E₀ is the maximum value of the electric vector

           ε₀ is the permitivitty of medium

           I is the intensity

We know that, E = Bc

where, B is the magnetic field

Hence on substituting into the formula:

I= cε₀E₀²

⇒ I= c³ε₀B²

Given,

B = 1.30×10⁻¹⁰ T

So,

I = (3 X 10⁸)³ X (8.85 X 10⁻¹²) x(1.10×10⁻¹⁰)²

⇒ I = 96.37 × 10⁻⁸ W/m²

Energy transported per unit hour is :

E= AIt

where A is the area of beam = πr²

             r is the radius of beam used, r = 1.20mm = 0.0012m

            t is the time = 1hr = 3600s

On substituting,

E = 2.891 × 10⁻⁶ × πr² × 3600

E = 2.891 X 10⁻⁶ × 3.14 × (0.0012)² x (3600)

E = 6.40 × 10⁻⁸J

Hence, total energy transported per hour along a narrow cylindrical laser beam is 6.40 × 10⁻⁸J.

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Answer:

glass is optically denser as it is a optical material having more index number above the list

Answer:

zicron

Explanation:

it has a large refractive index

broglie wavelength of this electron is 107.5pm.

what is de broglie wavelength?

The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.

Given:

de broglie wavelength of this electron? [ke[ke = 12mv2;12mv2; 1 electron volt (ev)(ev) = 1. 602×10−19j] is 107.5pm

[tex]h = 6.63 \times 10 { }^{ - 34} [/tex]

[tex]k = 120ev[/tex]

[tex]me = 9 \times 10 {}^{ - 31} kg[/tex]

[tex]1ev = 1.6 \times 10 {}^{ - 19} [/tex]

[tex]p = \sqrt{2mk} [/tex]

[tex] = \sqrt{2 \times 9 \times 10 { }^{ - 31} \times 1.6 \times 10 {}^{ - 19} } [/tex]

[tex] = 5.88 \times 10 {}^{ - 24} kgm/s[/tex]

de broglie wavelength

λ=h/p

[tex] = \frac{6.63 \times 10 {}^{ - 34} }{5.88 \times 10 {}^{ - 24} } [/tex]

Thus from the above calculation the de broglie wavelength comes out to be 107.5pm

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The answer is time period of spring mass system does not depend on its amplitude.

The period does not depend on the Amplitude. The greater the amplitude, the more the distance to be covered, but it will do so more quickly. The period won't change since the effects of distance and speed cancel each other out. As the amplitude rises, the mass moves farther with each cycle. Therefore, increasing the amplitude has no overall impact on the oscillation's period.

A kind of energy called sound is created when objects vibrate. For it to spread, a medium is needed. As a result, sound cannot travel through a vacuum because there is nothing for the sound waves to travel through. The object's back and forth movement creates the sound. Sound vibration is the name for this. Additionally called oscillatory motion. Oscillation describes the regular rhythmic back-and-forth movement.

The time required to complete a task is referred to as a period. An occurrence is referred to as periodic if it happens frequently. The period is the length of time it takes for a periodic event to repeat itself. The particle's time period is determined by how long it takes it to complete one vibration cycle.

A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.

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At time [tex]t[/tex] seconds, the mass has angular speed

[tex]\omega = \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]

and hence linear speed

[tex]v = (1.4\,\mathrm m) \omega = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) t[/tex]

After 8 s, its linear speed is

[tex]v = (1.4\,\mathrm m) \left(3.31\dfrac{\rm rad}{\mathrm s^2}\right) (8\,\mathrm s) = 37.072 \dfrac{\rm m}{\rm s} \approx 37 \dfrac{\rm m}{\rm s}[/tex]

and has centripetal acceleration with magnitude

[tex]a = \dfrac{v^2}{1.4\,\rm m} \approx 981.667\dfrac{\rm m}{\mathrm s^2} \approx 980 \dfrac{\rm m}{\mathrm s^2}[/tex]

To maintain this linear speed, by Newton's second law the required centripetal force should have magnitude

[tex]F = (0.34\,\mathrm{kg}) a \approx 333.767\,\mathrm N \approx \boxed{330 \,\mathrm N}[/tex]

The elevation in reservoir  at  the rate of flow using is 03m/s  is 114m.

The Reynolds range is the ratio of inertial forces to viscous forces. The Reynolds variety is a dimensionless variety used to categorize the fluids structures in which the impact of viscosity is crucial in controlling the velocities or the flow sample of a fluid.

The reason of the Reynolds number is to get a few experience of the relationship in fluid glide between inertial forces (this is those that maintain going by using Newton's first law – an item in motion stays in movement) and viscous forces, this is people who cause the fluid to come back to a forestall because of the viscosity of the fluid.

calculation,

Let L = 100 m pipe

     L1 = 150 m pipe

H f = friction losses

Using Reynolds number, relative  roughness, friction co- effiicients and friction losses

Substitute the value in equation

Z = 110= 0.48= 3.54

Z = 114m

Therefore water surface elevation at reservoir  is 114 meter.

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The new pressure of the air in the syringe is 1.5 atm.

The new pressure of the air in the syringe is calculated as follows assuming the temperature remains constant;

P2 = P1V1/V2

P2 = 1 * 60/40

P2 = 1.5 atmospheres

In conclusion, pressure varies inversely as volume.

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Answer:

B (buoyant force) = weight of air displaced - weight of balloon

Both balloons will displace the same amount of air but the weight of the balloon filled with He is much less and will experience a greater buoyant force - actually if a balloon is filled with air its weight would be the same as the weight of the air displaced and there would be no buoyant force

The annual cost of electricity is $28.908 .

work done is equal to energy consumed

therefore total energy is calculated as power times the duration of operation .

[tex]W=P.t[/tex]

where W= work done

            P=power

            t= time of operation

therefore,

total work done (W)=0.06×12×365 kw

=262.8 kw

so total annual electricity bill = 262.8×0.11

=$28.908

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The work done by the force field f! (x, y) = x sin(y)i + yj on a particle that moves along the parabola y = x2 from (−1, 1) to (2, 4) will be  15/2 + 1/2 cos1 -1/2 cos4

Work done on a body is equal to the increase in the energy of the body, for work transfers energy to the body. If, however, the applied force is opposite to the motion of the object, the work is considered to be negative, implying that energy is taken from the object.

The units in which work is expressed are the same as those for energy, for example, in SI (International System of Units) and the metre-kilogram-second system, joule (newton-metre)

Equation of parabola :  y = [tex]x^{2}[/tex]

dy = 2x dx

f(x , y) = x sin (y) i + y j

          =  [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] +  [tex]\int\limits^2__{} \, -1[/tex] 2x . [tex]x^{2}[/tex] dx

          =  [tex]\int\limits^2__{} \, -1[/tex] [tex]\ {x sin (x^{2} )} \, dx[/tex] +  [tex]\int\limits^2__{} \, -1[/tex] 2 [tex]x^{3}[/tex] dx

          =   1/2[tex]x^{4}[/tex] * ( - 1/2 cos [tex]x^{2}[/tex] ) + [tex]x^{4}[/tex] / 2

          =   8 - 1/2 + (-1/2 cos 4 + 1/2 cos 1)

          =   15/2 + 1/2 cos1 -1/2 cos4

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The distance between the two adjacent nodes = λ/2.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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An ECG does not show atria repolarization.

To find the answer, we need to know more about the electrocardiogram.

Thus, we can conclude that, the option d is correct.

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Answer:

Around [tex]1.4[/tex] solar mass.

Explanation:

In a white dwarf, electron degeneracy prevents the star from collapsing into itself. However, if the mass of the star exceeds the Chandrasekhar Limit, gravity would overcome electron degeneracy and star would collapse further.

The value of the Chandrasekhar Limit is approximately [tex]1.4\; M_{\odot}[/tex] ([tex]1.4[/tex] times the mass of the sun.) While this mass is the maximum possible mass of a stable white dwarf, the original mass of the star that formed this white dwarf tends to be much greater.

Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.

A standard cost is a fixed price per unit of direct materials, fixed price per direct labour hour, and fixed price per hour of overhead that is based on predicted quantities of direct materials and projected direct labour time.

Top management may find a standard cost system useful for planning and decision-making. easier and more reasonable inventory measurements. Compared to an actual cost system, a standard cost system makes inventory valuation simpler. Unit costs for batches of identical products may differ significantly under an actual cost system.

Therefore,Overhead is applied to work in process based on the predetermined rate times standard activity allowed in a standard costing system.

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When cyclooctatetraene is treated with excess potassium metal dipotassium cyclooctatetraene dianion compound is formed.

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The innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.

To find the answer, we have to know more about the electronic configuration.

Thus, we can conclude that, the innermost electron shell of argon contains 2 electrons, and the outermost shell contains 8 electrons.

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Answer:

7.8 x 10^18 electrons

Explanation:

1 Coulomb is 6.24 x10^18 charges    multiply this by 1.25 to get the answer above

The magnetic field will be given by the formula B=B1+B2.

Between two wires, the magnetic field has the formula B=B1+B2.

We must first calculate the magnetic field caused by each wire before adding the two vectors to find the net magnetic field halfway between the two wires. We must subtract the two vectors in order to find the total magnetic field because the electric current flows in the opposite direction via both cables.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.

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Answer:

d) the object gets bluer

blue wavelengths are shorter than red wavelengths (in the visible spectrum)

blue light will carry more energy than an equivalent amount of red light

The appearance of an object as it gets hotter is that the object gets bluer. Hence, option (d) is correct.

Wavelength is the separation between the equivalent points of two successive waves. When two points or particles are referred to be "corresponding points," it means that they are both in the same phase and have completed exactly the same portions of their vibration. Typically, the wavelength of transverse waves—those whose points advance at right angles to one another—is assessed from crest to crest or from groove to trough; for longitudinal waves—those whose points advance in the same direction—the wavelength is measured from compression to compaction or from rarefaction to rarefaction.

A wave train's speed (v) in a medium is equal to its frequency (f), hence the formula for wavelength is v/f. Wavelength is commonly represented by the Greek character lambda λ.

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It will be about 26 degrees north of observer's meridian.

To find the answer, we have to know more about observer's meridian.

Thus, we can conclude that, the moon due south on the meridian will be

about 26 degrees north of observer's meridian, after two nights at the same time.

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