find the sae's for the assigned nodal voltages. solve for the nodal voltages. round answer to 2 decimal places, add 0's as needed. express magnitude as positive number and angle between . ±180∘.
v1 = ∠ ∘ V
v2 = ∠ ∘ V
v3 = ∠ ∘ V

A program's efficiency can be increased by exiting a loop as soon as a match is discovered in the array.The given statement is true

What is programs efficiency?

The cost of producing goods or services in comparison to other programs or an ideal procedure is referred to as program efficiency. Analyzing expenses such as money, people, time, materials, etc. is related to cost effectiveness.

Program efficiency is the cost of producing goods or services in relation to other programs or an ideal technique. Cost effectiveness is related to the analysis of expenses such as cash, people, time, and materials, among other things.

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The quadratic equation for the resistance ratio is 6E-06 t^2 + 0.00341t +1.

The temperature at which electric resistance would be double is  293.25 Fahrenheit.

Resistance predicted at 71 degrees is 1.2724.

What is resistance ratio?

The resistance ratio is the difference between the thermometer's resistance at the ice point and its resistance at a given temperature (t) (t0).

Temp t

in

degrees

(x) c(t) / c(0) (y) (x)2 (x)3 (x)4  xy x2 y

0 1 0 0 0 0 0

10 1.0393 100 1000 10000 10.393 103.93

20 1.0798 400 8000 16000 21.596 431.92

30 1.1215 900 27000 81000 33.645 1009.35

40 1.1644 1600 64000 2560000 46.576 1863.04

sum =100 5.405 3000 100000 2667000 112.21 3408.24

a. To calculate equation in the form of y = ax^2 + bx +c

Substituting the values calculated above in the formula

= 112.21 - (100*5.405) /5 =4.11

= 100000 - (3000*100)/5 =40000

= 2667000 -1800000 = 867000

a = { [ Σ x2 y * Σ xx ] - [Σ xy * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }

= 6E-06

b = { [ Σ xy * Σ x2x2 ] - [Σ x2y * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 }

= 0.00341

c = [ Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x 2 / n ] } = 1.012

So the equation is c(t)/c(0) = 6E-06 t^2 + 0.00341t +1

b). c(t)/c(0) =2

Putting in the quadratic equation found above-

2 = 6E-06 t^2 + 0.00341t +1

1 = 0.00341t  (neglecting the square term)

t = 293.25 fahrenheit

c). at 71 degrees

c(t)/c(0) = 0.030246+0.24211+1.012

= 1.27235

Resistance predicted at 71 degrees = 1.2724

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(a) ball velocity = - 2.47 m/s  

(b) block velocity = 1.236 m/s

Two items collide when they briefly come into touch with one another. To put it another way, a collision is a brief reciprocal encounter between two masses in which the momentum and energy of the masses change.

For ball as it is at initially at height of 70.0 cm = 0.7 m

so by energy conservation,

K.E.(i) P.E.(i) + K.E.(f)+P.E.(f)

0 + mg×(0.7)  = 1/2 mv² + 0

v = 3.71 m/s

now, collision b/w ball and block

as the block is in rest initially and there is no external force b/w them

so by momentum conservation,

m₁u₁+ m₂u₂ = m₁v₁+ m₂v₂

or, (0.5 x 3.71) + 0 = (0.5x v₁) + (2.5 x v₂)

3.71 = v₁ + 5v₂  .........(1)

as elastic collision so energy conservation

or, 1/2 m₁ u₁² + 1/2 m₂ u₂² = 1/2 m₁ v₁² + 1/2 m₂ v₂²

or, (1/2 x 0.5 x 3.712) + 0 = (1/2 x 0.5 x v₁²) + (1/2 x 2.5 x v₂²)

or, 3.433 = 0.25xv₁² + 1.25 v₂²      ...............(2)

from eq. 1 and eq. 2

or, 3.433 = 0.25 x (3.71 - 5 v₂)² + 1.25v₂²  

or, v² = 1.236 m/s

and v₁ = 3.71 - 5v₂

or, v₁ = - 2.47 m/s

so after collision

ball velocity = - 2.47 m/s       [(-)ve x direction]

block velocity = 1.236 m/s     [(+)ve x direction]

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The friction between the box and the floor of the car causes the box to accelerate with the car.

Friction is defined as the resistance offered by surfaces in contact as they move around each other.

Friction can slow down a car as it moves down the road, but it's also the force that allows the car to move forward in the first place.

If the floor of the car is frictionless, then the box would appear to move backwards, because the cabinet would actually be stationary while the car was moving away from it.

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Answer:

Spherical mirrors whose inner side is reflecting are called concave mirrors. Spherical mirrors whose outer side is reflecting are called convex mirrors.

Explanation:

Passing an insulator just over a flame will cause it to discharge if it is charged. This is due to the presence of ions in the flame.

The Correct Answer is D.

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The correct answer for the isolated systems is options 2 & 4.

2) A ball is dropped from the top of a building. The system is the ball and the earth.

4) A car slides to a halt in an emergency. The system is the car.

In both of these systems, the isolated system is the object in motion, either the ball dropped from the top of the building or the car sliding to a halt in an emergency. The conservation of linear momentum is applicable because the system does not interact with any external forces or objects.

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Answer:

C

Explanation:

The arc of A-B-C-D-E  has a peak at C  where the KE will be near zero and the potential energy greatest

a) The can stays still

b) The can stays still

c) The can moves towards the positive rod

We know that the electrostatic force is the force that attracts an object is the force that induces a charge on an object even though the objects do not touch each other. In all the cases that are shown in the images there is no contact between the charged bodies and the can.

In all the cases, we see that immediately the charged object is brought around the can, the object would cause the the electrons that are in the can to become polarized. It is the polarization of the electrons that are in the can that would make the can to move.

The movement of the can would be with reference to the kind of charges that are on the surrounding rods as well as the charges that are on the rods that have been brought around the can.

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The kinetic energy KKK of the block at the moment labeled B is 3/8kA^2.

Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.

Kinetic energy is the energy a body has due to its motion. If you want to accelerate an object you have to apply a force. To add strength, we need our work. When the work is done, the energy is transferred to the object and it moves at a new constant speed.

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Just as waves spread out when a boat moves in water or a stone is thrown in a pond, gravitational waves are distortions in the curvature of space-time caused by motions of matter that propagate with the speed of light.

It turns out that one type of gluon chain behaves in the four-dimensional spacetime as the graviton, the fundamental quantum particle of gravity. In this description, gravity in four dimensions is an emergent phenomenon arising from particle interactions in a gravityless, three-dimensional world.

Since matter carries energy, such objects will have a gravitational field and so they will distort space-time. So one way in which a charge or a magnet will distort space-time is by virtue of its matter.

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The mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point O is 0.113kgm^2

Two sections of the plate are possible. Segment (2) should be viewed as a negative part because it is a hole. The perpendicular distances from each segment's center of mass to point O are also shown.

The formula used to calculate the moment of inertia of segments (1) and (2). is Mass Moment of Inertia

m1 = π(0.2^2)(28) = 3.51kg

m2 = (0.2)(0.2)(28) = 1.12 kg

The parallel-axis theorem can be used to calculate the plate's moment of inertia for each segment along an axis perpendicular to the page and passing through point O.

I = ΣI' + md^2

I = [1/2x(3.51)x(0.2 )^2+3.51x(0.2 )^2]–[ 1/12x(0.8)x(0.2^2 + 0.2^2)+0.8x(0.2)^2]

I  = 0.113kg⋅m^2

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A combination of colloids, clay, silt, sand, pebbles, and cobbles is positioned into the move I at factor A. The water choice B) stream II will pass all debris that might be added at point A.

Circulation speed is the velocity of the water inside the flow. units are distance in step with time (e.g., meters in keeping with second or feet in keeping with second). movement speed is best in midstream close to the surface and is slowest alongside the movement mattress and banks due to friction.

Larger particles are much more likely to fall through the upward currents to the lowest, until the flow price increases, growing the turbulence on the streambed. in addition, suspended sediment will no longer always remain suspended if the drift charge slows.

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If the plant produces the electrical energy at the rate of 1.2 GW then the exhaust hear discharged per hour will be 73280 Giga Joule.

When put in an electromagnetic field, charged matter experiences a force due to the fundamental property of electric charge. Positive or negative electrical ions are possible.

When two charges are in opposition to one another, they repel one another. The term "neutral" refers to an object that has no net charge.

As per the given information in the question,

Temperature, T(L) = 300 °C

Temperature, T(H) = 635 °C

Use the equation of efficiency of the Carnot engine,

1 - T(L)/T(H) = 1 - 300/635

= 0.52

The energy produced is 1.2 GW.

This energy accounts for 75% of all theoretically created energy.

Assume that the total energy produced by the plant is x.

x × (71/100) = 1.2

x = 1.69 GW

So, the energy lost = 1.69 - 1.2 = 0.49 GW

Assume the total heat provided is y.

0.52 × y = 1.69GW

y = 3.2 GW

So, the energy lost in the engine = 3.2 - 1.69 = 1.56

So, total energy loss = 1.56 + 0.49 = 2.05 GW or,

2.05 × 60 × 60 = 73280 Giga Joule.

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if the molecular mass of a gas increases by a factor of 4 at constant temperature, its rms speed is decrease by a factor of 2.

As a result, the molecular mass is the mass of a single particle or molecule, while the molar mass is the average of numerous particles or molecules. When discussing macroscopic (weigh-able) amounts of a substance, the molar mass is typically the most relevant number.

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The cuts on the plasmid are done via restriction enzymes which are also known as molecular scissors. (B) Plasmid 2 is the one that got cut by the restriction enzyme.

A plasmid is a type of double-stranded, circular, tiny DNA molecule that differs from a cell's chromosomal DNA. Both bacterial and certain eukaryotic cells naturally contain plasmids. Plasmids frequently carry genes that give bacteria genetic advantages like antibiotic resistance.

An isolated bacterial protein known as a restriction enzyme cleaves DNA at sequence-specific locations to create DNA fragments with a known sequence at each end. For several laboratory techniques, such as genetic engineering and recombinant DNA technologies, restriction enzymes are essential.

Hence, the cuts on the plasmid are done via restriction enzymes which are also known as molecular scissors. (B) Plasmid 2 is the one that got cut by the restriction enzyme.

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When the wavelength is 700 NM, the frequency of red light is 4.29 x 1014 Hz.

For instance, visible red light with a wavelength of 700 nm has a frequency of 4.29 x 1014 Hz and an energy of 2.84 x 10-19 J or 171 kJ per mole of photons (note that Avogadro's number is 6.02 1023 mol1).

A significant portion of the spectrum that is available for both commercial wireless and public safety communications is the 700 MHz Band. The Band, which spans 108 megahertz of spectrum from 698 to 806 MHz, was created as a result of the switch to digital television.

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The given statement that heat flows from cold to hot body and hot to cold body, in both directions is false.

Heat transfer occurs any time there is a temperature differential between two states of matter. Only heat transmission from a hot object to a cold object, or in the other direction, occurs. Heat will flow so as to equalize the temperature throughout the objects and till they attain thermal equilibrium.

We understand that the entropy of a closed system can never increase according to the second rule of thermodynamics.

Inferring that heat will always move from a state of higher temperature to a state of lower temperature from this law.

Heat is a form of energy. The system's hotter atoms will absorb more heat energy, which will cause them to vibrate more vigorously.

The atoms or molecules in the system with the lower temperature are not vibrating because of their lower temperature.

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The total work done on the block by the force of friction is 14 J.

The work done by a force of friction is obtained from the product of the force of friction and the displacement of the object.

Mathematically, the work done by force of friction is given as;

W = Fd

where;

The given parameters include;

The total work done on the block by the force of friction is calculated as;

W = 2 N   x  7 m

W = 14 J

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The complete question is below:

what is the total work wfric done on the block by the force of friction of 2 N as the block moves a distance 7.00 m up the incline?

In mathematics, a Euclidean space is a geometric space in which the distance between two points is measured using the Euclidean distance formula. In 4-dimensional Euclidean space, there are 4 mutually perpendicular directions, which are commonly referred to as the x, y, z, and w directions. These directions are perpendicular to each other, meaning that they form right angles with one another.

The concept of 4-dimensional Euclidean space can be difficult to visualize, as it is a concept that exists beyond our everyday three-dimensional world. However, we can think of it as an extension of three-dimensional space, in which there is an additional direction (the w direction) that is perpendicular to the x, y, and z directions. This additional direction allows for the representation of additional information or variables in the space.

For example, in four-dimensional Euclidean space, we could represent the position of a point using four coordinates (x, y, z, w) rather than just three (x, y, z). This additional coordinate could represent a variety of different quantities, such as time, energy, or some other physical property.

After separation, the pairs of spheres' total charges will be in the following order: Qa -> Qc -> Qb.

As specified in the query, here

Each pair is introduced, allowed to touch, and then separated.

which refers to payment via sharing.

The charge by sharing formula is Q = Q1 + Q2 / 2.

As a result, Pair A

Qa = +6+(+2)/2 = 4 represents the total charge for each pair.

Pair B

Qb = +6+(-2)/2 =2.

Pair C

Qc = +6+(0) / 2 =3.As a result, Qa -> Qc -> Qb will be the order of the total amount of charge on the pairs of spheres after separation, from greatest to least.

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Many of the properties of galaxies (including the galaxy color–magnitude diagram) indicate that there are fundamentally two types of galaxies. These groups divide into blue star-forming galaxies that are more like spiral types, and red non-star forming galaxies that are more like elliptical galaxies.

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Answer:

90° or π/2 rad

Explanation:

Given two vectors:

[tex] \displaystyle{ \vec d = - 4 \hat i + \hat j} \ \: \text{and} \ \: \displaystyle{ \vec e = \hat i + 4 \hat j}[/tex]

We can find the angle by applying dot product:

[tex] \displaystyle{ \vec d \cdot \vec e = | \vec d| | \vec e| \cos \theta}[/tex]

Find magnitude of two vectors:

[tex] \displaystyle{ | \vec d| = \sqrt{ {( - 4)}^{2} + {1}^{2} }} \\ \\ \displaystyle{ | \vec d | = \sqrt{16 + 1} = \sqrt{17} }[/tex]

And

[tex] \displaystyle{ | \vec e| = \sqrt{ 1^{2} + {4}^{2} }} \\ \\ \displaystyle{ | \vec e | = \sqrt{1 + 16} = \sqrt{17} }[/tex]

Thus, we now have:

[tex] \displaystyle{ \vec d \cdot \vec e = \sqrt{17} \cdot \sqrt{17} \cos \theta} \\ \\ \displaystyle{ \vec d \cdot \vec e = 17 \cos \theta}[/tex]

Product of two vectors are:

[tex] \displaystyle{ \vec d \cdot \vec e = d_xe_x + d_ye_y}[/tex]

Therefore:

[tex] \displaystyle{( - 4)(1) + (1)(4) = 17 \cos \theta} \\ \\ \displaystyle{ - 4 +4= 17 \cos \theta} \\ \\ \displaystyle{0= 17 \cos \theta} \\ \\ \displaystyle{0 =\cos \theta}[/tex]

Therefore, the angle would be 90° or π/2 since we know that cos90° = 0.

Its rotation curve would be decreasing with distance beyond the center of the galaxy. Option B.

The stellar mass distribution does not take into account the rotation curve of the galaxy. If a spiral galaxy contained no dark matter at all, its rotation curve would decrease away from the center of the galaxy. This and other evidence have led us to develop our dark matter theory.

Dark matter can only be detected astronomically by its gravitational influence on stars and gases. Dark matter rotates the outer part of the galaxy faster than starlight suggests. This causes the galaxies in the cluster to orbit faster than expected from the combination of galactic starlight. Spiral galaxy rotation curves are the most important tool for determining the mass distribution of spiral galaxies.

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The shore the goose landed 11.85m

For development of this problem we must resort to  concepts of the basic kinematic equations that define the distance of a body, such as speed for a certain time, that is,

D=v*t

From the information is  provided say that the distance between the cretas is= 0.6m,

Dcrets= .06m

In our information we have also that  length between the first and the latest wave is in time terms of 2.2s. They are 4 waves in 3 intervals then

Dt= Dcrets*3= 2.4m

t= 1.6s

V= Dt/t

V= 1.5 m/s.

Then the distance from the shore is given by the speed of the waves for the total time. That is

X= v*t=11.85

the shore the goose landed X=11.8m

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When you sit on the chair, your body will exert a downward force and in reaction, the chair pushes up on your body.

What is a Reaction Force?

A building experiences a reaction force when it rests against another object. Calculating the reaction forces at the supports as a result of the forces operating on the beam is a necessary step in the analysis of a beam structure. The reaction forces can be calculated using a free body diagram of the entire beam.

Corrosion can be caused by reaction forces. For instance, due to the system's increased stiffness, reaction forces increase when bearing clearances are reduced from 350 mm to 150 mm.

According to the question, when the body will exert a downward force that is mg due to gravity, the chair will make a normal reaction force which will be equal to the force applied by the body on the chair.

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Based on the number of galaxies visible in the Hubble eXtreme Deep Field, the estimated number of galaxies in our observable universe is at least 100 billion.

The Hubble eXtreme Deep Field contains an estimated 10,000 galaxies, representing a tiny fraction of the estimated 100 billion galaxies that make up our observable universe. Beyond that, the universe is thought to be infinite, making the total number of galaxies impossible to count.

Therefore the correct option in this question is C which is 100 billion.

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The flow rate and hall voltage of non mechanical water meter is 0.339m/s and 1592.3volt respectively.

Flow rate equations depends on intensive study of fluid mechanics.

a]. flow rate =V/B x A= 60/0.500 x 3.14 x 0.03²=0.339m/s

V is hall voltage , B is magnetic field and A is cross sectional area.

The Hall effect principle describes the behavior of charge carriers when exposed to electric and magnetic fields. This principle can be viewed as an extension of the Lorentz force, which is the force acting on charge carriers (electrons and holes) passing through a magnetic field.

The Hall effect principle states that when a conductor or semiconductor is introduced with current flowing in a direction perpendicular to the magnetic field, voltage can be measured perpendicular to the current path.

b]. V=M/A=0.500/(3.14 x 0.01²) =1592.3volt

The effect of obtaining a measurable voltage as described above is called the Hall effect.

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Option B and C is the answer, A car's speedometer provides information about the vehicle's current  instantaneous speed. It displays your speed at a certain point in time.

The speed of an item at a specific time is its instantaneous speed. The instantaneous velocity is obtained by adding the direction to the speed. In other words, this person's instantaneous velocity at that specific time was eight meters per second to the right. The speedometer on a car displays the vehicle's  instantaneous speed since it does so while it is driving.

The complete question is :

which letter(s) of the sentences that are true of instantaneous speed?

a. Instantaneous speed is the total distance covered divided by

time.

b. Instantaneous speed is the speed at any instant.

c. The speedometer on a car shows the instantaneous speed.

d. If you traveled 30 kilometers in 1 hour, your instantaneous

speed would be 30 km/h.

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V=√1962 tan h (-√1962t/100) is the velocity of the object that is falling freely due to earth's gravity.

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

According to Newton's second law of motion,

mdv/dt= -mg+kv²

mdv/dt=-mg+kv²

5dv/dt=-10g+0.05v²

dv/dt=-2×9.81×0.01v²

dev/dt=0.01v²-19.62

-1/19.62 dv/dt =1-v²/1962

-1/19.62 ∫dv/1-v²/1962=∫dt

√1962 Tanh∧-1 (v/√1962)=-19.62t

Tanh∧-1(v/√1962)=-√1962/100 t

v=√1962 Tan h∧-1 (-√1962t/100)

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