write out the equation for your line of best fit using variables from class. (example: y is distance, x is distance, t is time, etc). you will want to write y

Dark matter makes up about 27% of the universe.

Quasars and abundant in dark matter, and with over 2,000 quasars identified today, it is clear that the universe contains a lot of dark matter.

All the stars, spheres and galaxies that can be perceived nowadays make up just 5 percent of the universe. The former 95 percent is prepared of stuff stargazers can't see, notice or even understand. These secretive substances are called dark energy and dark matter.

Experts determine their presence grounded on their gravitational influence on what little bits of the universe can be perceived.

Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark matter was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.

Therefore, from the simple note above, it can be deduced that dark energy of dark matter does not produce electromagnetic radiation.

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It is closest to 0.17 MPa when gas is first under pressure.

To find R, the gas constant, the ideal gas law can be modified. R=PiViniTi under initial conditions, and R=PfVfnfTf under final conditions. Both expressions are equal to each other because they both equal R. In situations where one or more of the variables are constant, this equation is frequently utilised.

The average number is 8.314 J K-1 mol-1. It is a typical SI unit. To utilise this value exactly, you must: Use K for the temperature.

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The direction in which the swimmer should head in order to arrive at a landing point due east of his starting point is 36.86° or N53.14°E.

How to find out swimmer's direction who is to arrive at a landing point due east of his starting point?

Given:

Velocity of the river: 1.2mi/h

Velocity of the swimmer: 1.2mi/h

The velocity of the river can be represented by:

V= -1.2j (negative sign represents as we head towards south)

So, the velocity of the swimmer can be represented by the vector U as:

U=2cosθi + 2sinθj

Let the true velocity of swimmer be determined as W:

W = U + V

To land at point in the east for the swimmer, he should move horizontally

Hence, the vertical component is equal to zero.

i.e., 2sinθ - 1.2 = 0

2sinθ = 1.2

sinθ = [tex]\frac{1.2}{2}[/tex]

θ = 36.86°

The direction which the swimmer should take is: 36.86° or N53.14°E.

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The width of the slit that illuminates by a 650-nm laser is 0.29mm.

It is a long, narrow cut or opening. Slit is used for diffraction process that affecting waves which are amenable to quantitative description and analysis. Such treatments are applied to a wave passing through one or more slits whose width is specified as proportion of the wavelength.

How to calculate the width of the slit?
Distance of second minimum on one right side of central maximum is 1/2 of total distance between the second minimum on left side and right side.

= 1/2 * 11mm

= 5.5mm

θ = the angular position of the second minimum on right side (also same of left side)

tan θ = 5.5mm / 1.2m = 4.6 * 10^-3
θ = arctan 4.6*10^-3

= 0.26rad

Now let's use the condition for the second minimum

αsinθ = 2λ

α * sin0.26 = 2 * 650 * 10^-9

α * 4.5*10^-3 = 2*650*10^-9

slit width is

α = 2 * 650 * 10^-9 / 4.5 * 10^-3

= 0.29 * 10^-3 m

= 0.29mm

Therefore, the width of the slit is 0.29mm.

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Hence, normal reaction on ball is 4.22N.

Mass,M=1kg

Angular velocity, ϖ=10rad/s

Length of rod, r=0.1m

Angle, α=30o

From the figure,

Horizontal Equilibrium forces.

Tcos30o=mϖ2r=1×102×0.1=10

T=cos30o10​=3

​20​……(1)

Vertical forces in equilibrium.

N=mg−Tsin30o=1×10−3

​20​×21​=4.22N

Hence, normal reaction on ball is 4.22N

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A horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.

ω = 2 π / T

ω = Angular speed

T = Time period

ω ∝ 1 / T

Time period is the time taken by an object to complete one full rotation. A horse near the outside rail of a merry-go-round or a horse near the inside rail will both complete one rotation at the same time. So, angular velocity will be the same for both.

Therefore, a horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.

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The force of gravity on a 1-kg mass at earths surface is 9.77 N

The formula for the force of gravity is:

F = G Mm/r²

Where, in this case

G = constant of gravity = 6.674 x 10⁻¹¹ N.m²/kg²
M = mass of earth = 6 x 10²⁴ kg

r = radius of earth = 6.4 x 10⁶ m

m = mass of object = 1 kg

Plug these parameters into the formula:

F = 6.674 x 10⁻¹¹ x  6 x 10²⁴  x 1 / ( 6.4 x 10⁶)²

  = 40 x 10¹³ / (40.96 x 10¹²

  = 9.77 N

Hence, the force of the gravity, or the weight, of a 1-kg mass is  9.77 N

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When an image is formed using a converging lens, the image forced is virtual and upright. Thus, answer is A and C.

A convex lens is called as converging lens. A converging lens forms an image at the point where all the rays intersect behind the mirror. The converging lens forms the real, inverted images of the real objects which are further from the focal length (p>f) and virtual, upright and large images of real objects present nearer than the focal length (p<f).

Due to this, the properties of the image formed by the converging lens are virtual and upright.

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315 pm is the distance  for the center of mass of carbon monoxide in units of pm

distance= Med/Ms-Me

distance=12×10^5/16-12

distance=315 pm

Distance is the length between two locations or objects, and it is directionless. Since distance is a scalar property, it only takes into account the total magnitude and ignores the start and end locations. Since distance is a scalar characteristic, it can only have a positive or zero value; it cannot be negative.

The most common unit of measurement for distance is the meter (m), but you may also use kilometers (km) to describe greater distances and centimeters (cm) or millimeters to represent lesser distances (mm). When calculating distance, the letter D is usually used to denote the distance traveled.

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Scalability Is the measure of a system's ability to expand.

Scalability is the measure of a system's capability to grow or decrease in performance and fee in response to adjustments in application and gadget processing needs.

Scalability / Extensibility. refers to a machine's potential to make bigger, change, or downsize without problems to fulfill the converting needs of a commercial enterprise corporation. applications. programs that deal with the entry, control the processing common sense, and provide the desired output.

Scalability refers to the potential of a company (or a system, which includes a pc network) to perform properly below an improved or increasing workload.

A system that scales nicely may be capable of preserving or increasing its stage of overall performance at the same time as it is examined by way of larger and large operational demands. Scalability refers back to the potential of a pc, product, or system to make bigger to serve a large number of customers without breaking down.

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Disclaimer:- your question is incomplete, please see below for the complete question.

____________________ Is the measure of a system's ability to expand?

The mysterious light is a wavelength of 464nm

from the condition of the constructive interference:

d sinθ=mλ

for small angles: sinθ=θ=tanθ=x/l

the difference in the separation of the two fringes is,

x₁-x₂=(mλ₁l/d-mλ₂l/d)

x₁-x₂=ml/d(λ₁-λ₂)

(λ₁-λ₂)=(x₁-x₂)d/ml

λ₂=λ₁-(x₁-x₂)d/ml

=(690×10⁻⁹m)-(1.13×10⁻³m)[tex]\frac{0.60*10^{-3} }{2(1.50)}[/tex]

=0.464×10⁻⁶m

=464nm

The wavelength, or the distance over which the shape of a periodic wave repeats, is the spatial period in physics. It is a property of both traveling waves and standing waves, as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two neighboring crests, troughs, or zero crossings. The spatial frequency is the reciprocal of the wavelength. The Greek letter lambda () is frequency used to denote wavelength.

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The energy of a single photon of light that has a frequency of 2. 30 × 10^17 hz is E=1.52×10⁻¹⁸J.

Use the formula E=hv.

E=energy of photon

h=Planck constant=6.626×10⁻³⁴

v=frequency of photon

We can plug in what we know:

E=(6.626×10⁻³⁴)( 2. 30 × 10^17)

Plug this into your calculator:

E=1.52×10⁻¹⁸J

Where energy E is measured in J, or joules.

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(a) The mass of the block is 9.45 grams and

(b) the tension is 53.4 N

Given : mass = 4.00 kg and block mass = 12 kg

the coefficient of friction or μ = 0.25

the force can be calculated by ;

(b) F₋ = μmg

F₋ = (0.25)( 12 ) (9.8)

F₋ = 29.4 N

the total force on the block

Fₐ = ma

Fₐ = (12 )(2)

Fₐ = 24 N

F is the applied force

thus Fₐ= F - F₋

F = Fₐ + F₋

F = 24 + 29.4

F = 53.4 N

And now we can calculate the (a) part by ;

(a) F₋ - Fₐ = m₋g - 39.2

m₋g = 53.4 + 39.2

m- = 92.6/9.8

m - = 9.45 g

Thus the mass of the block is 9.45 gram

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She ignores the above average quality of the most of Lian's work, focusing exclusively on what she does incorrectly. Instance of FITB bias is this.

When people's perceptions of the likelihood of an outcome are clouded by similarities between objects or events, this phenomenon is known as the representativeness heuristic bias. People frequently believe that two related things or events are more closely correlated than they actually are. The Stanford Prison Experiment is frequently used as an example of unethical research. She disregards the above average quality of the majority of Lian's work, focusing solely on what she does incorrectly. As a result, the experiment cannot be replicated by researchers today because it does not adhere to the standards established by numerous ethical codes, including the Ethics Code of the American Psychological Association. This is an illustration of FITB bias.

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The ratio of volumes of the bubble is Vs/Vb= 3.74

Find the attachment answer

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In order to reduce reflections, reduce atmospheric haze, and improve color saturation, photographers frequently place polarizing filters, also known as "polarizers," in front of camera lenses.

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Every action has an equal and opposite response, according to Newton's Third Law.

Newton's Third Law of Motion is essential for rocket launch. Through action and reaction, a rocket engine generates thrust. Hot exhaust gases from the engine exit via the back of the engine. In response, the opposing reaction produces a propelling force.

Forces always act in pairs that are equal but opposite, according to Newton's third law of motion. Another way to put it is that there is an equal but opposing reaction to every action. In other words, when you push against a wall, the wall pushes back at you with a force equal to your own.

There is an equal and opposite reaction to every action, according to Newton's third law. The implication of the statement is that there are always two forces acting on the two interacting objects. The force acting on the first object is equal in size to the force acting on the second.

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A force of friction on a box going down an incline is 3 lbs (N)

Frictional force is the force created when two surfaces come into contact and slide against one another. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces. friction, a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such as the traction required to walk without slipping, can be advantageous, they also pose a significant amount of resistance to motion.

The resistive force of friction (Fr) divided by normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.

The force that prevents one solid item from moving across another is known as friction. The four basic types of friction are fluid friction, rolling friction, sliding friction, and static friction.

10 lbf = 44.4822161525 N

0.30 us = 0.30 KJ

Weight = 0.25

0.30us-10lbf=3lbs

1. Decide which natural force is present between the object and the earth. Consider a typical force of 0.10 lbf (N)

2. Establish the frictional factor. We can opt for a friction coefficient of 0.30us.

3. Multiplying these figures by one another: (0.10lbf(N)) x 0.30us = 3 pounds (N)

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The gene contains the instructions to make a protein that has information about the genetic characters of an organism.

Inside our cells there is presence of DNA.

It is a double stranded deoxyribonucleic acid.

This DNA is the place where the genetic characters resides.

But this DNA is made up of different things like the sugar.

So the genetic material is found in a part of DNA called a gene.

A gene is a short section of DNA.

The genes contain instructions that tell your cells to make molecules called proteins. Proteins perform various functions in your body to keep you healthy. Each gene carries instructions that determine your features, such as eye colour, hair colour and height.

Therefore, the gene contains the genetic information and the instructions to make a protein which determines the characteristics of an individual.

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The critical radius is 0.146×10⁻⁹m   and activation energy of iron is 0.5327×10⁻⁴⁵Joules

We have some data fields, we need to find the critical radius of iron.

We know very well that critical radius is given by the formula

critical radius=(2×Surface energy × Melting point)/Latent heat of fusion

or in other words, r=(2×S×[tex]T_m[/tex])/Δ[tex]H_l_a_t_e_n_t[/tex]

whereas

Also temperature if given in degree celsius, we need  to convert this into kelvin,

Using the formula,

K=C+273°

=>K=1538°+273K=1811K

So, putting the respective values, we get

=>r= -(2×0.0204×1811)/(-1.85×10⁹×273)

=>r= (73.88/505.05)×10⁻⁹m

=>r=0.146×10⁻⁹m

Now, talking about the activation free energy.

Activation free energy is given by the formula

G=[16×3.142×(critical radius)³×(Melting point)²] / [(3×(Super Colling value)²×(Latent heat of fusion)²]

So, putting the respective values of different quantities, we get

=>G = [16×3.142×(0.146×10⁻⁹)³×(1811)²]/(3×(273)²×(-1.85×10⁹)²

=>G=(407686.907×10⁻²⁷)/(765226.508×10¹⁸)

=>G=0.5327×10⁻⁴⁵Joules

Hence, if nucleation is homogeneous the critical radius r* is 0.146×10⁻⁹m  and the activation free energy ΔG* is 0.5327×10⁻⁴⁵Joules.

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(Complete question) is:

(a) For the solidification of iron, calculate the critical radius r* and the activation free energy ΔG* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are –1.85 × 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value ΔT = 273 K, and the melting point of iron is 1538°C.

The torque about the origin on the plum if that torque is due to a force F is 12j.

Torque is a measure of the force that can cause an object to rotate approximately an axis. just as a force is what reasons an object to accelerate in linear kinematics, torque is what reasons an object to gather angular acceleration. Torque is a vector quantity.

calculation -

The torque about origin = v x f

= (-2i + 4k) x (6k)

= -12 (i x k) + 0

= 12j

Torque is the rotational equation of linear force. it's also called the instant, second of force, rotational pressure, or turning impact, depending on the field of observation. It represents the capability of pressure to supply an alternate within the rotational movement of the body.

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Projectile motion is the motion in which a body moves in two-dimensional.

Options 2 & 3 are important to keep in kind while working on projectile motion.

Projectile motion is a type of motion that an item or particle (a projectile) experiences when it is launched into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity. Most calculations make the assumption that air resistance has passive and minimal effects in the specific scenario of Earthmoving like a projectile. Galileo demonstrated that the curved path of objects in projectile motion is a parabola, while it is possible that it might also be a straight line when the object is hurled directly above. Ballistics is the study of such motions, and this trajectory is a ballistics trajectory. Gravity is the only force acting on the item that has any mathematical meaning.

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The power required to change a sport utility vehicle's speed is 2725 Watt.

A measure of how quickly an object's location can shift in any direction. Speed is defined as the distance traveled divided by the time required to cover that distance. It is a scalar because speed only has a directions and no magnitude. In common usage and kinematics, the speed of an object is a scalar quantity and is defined as the amount of the change within this object's motion per unit of time or over time.

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).

Speed is a unit of measurement for how quickly something is moving. The most popular speed measurements are miles per hour (mph), kilometers per hour (km/h), and metres per second (m/s).

Mass of the sport utility = 1600kg

Initial velocity (v1) - 15m/s, (152 = 225)

Final velocity (v2) - 40m/s, ( 402 = 1600)

To find the energy required, Kinetic energy (K.E) = 1/2 mv2

K.E = final K.E - initial K.E

= 1/2(v2-v1)

= 1/2×1600×(1600-225)

= 80 × 1375

= 11000 J

Power = Energy (E)/Time (t) = 1100joule/4sec

= 2725Watt.

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The Biot-Savart law is used to represent the magnetic intensity because of the availability of magnetic current.

In physics, explicitly electromagnetism, the Biot–Savart law is a condition representing the attractive field produced by a constant electric flow. It states that “ magnetic field due to a current carrying conductor at a distance point is inversely proportional to the square of the distance between the conductor and point, and the magnetic field is directly proportional to the length of the conductor, current flowing in the conductor”.

The Biot Savart Law signifies that it is a scientific articulation which shows the attractive field delivered by a steady electric flow in the specific electromagnetism of material science. It tells the attractive field toward the greatness, length, heading, just as closeness of the electric flow.

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At an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/s , the speed of the bar is  25.88m/s

The fundamental property of electromagnetism known as Faraday's law, commonly referred to as "Faraday's law," aids in our ability to predict how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). Electromagnetic induction is the term for this phenomenon.

The electromagnetic induction rules were put forth by Michael Faraday in 1831. The observation or findings of Faraday's experiments are known as the law of electromagnetic induction or Faraday's law. To understand electromagnetic induction, he conducted three key experiments.

There are two laws in Faraday's Laws of Electromagnetic Induction. The induction of emf in a conductor is described by the first law, and the emf that is created in the conductor is quantified by the second law.

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The answers are (a) velocity, v=2.8m/s , mass, m=0.0038kg and x=0.055m.

(b) v=2.7m/s.

Any object or system that has stored energy as a result of its position or component arrangement is said to have potential energy. Nevertheless, it is unaffected by external factors like air pressure or altitude. On the other hand, kinetic energy is the force that propels a moving object or group of particles.

(a) By equating the compressed spring's potential energy to the cork's kinetic energy at release, we have

The formula is :

k = [tex]\frac{1}{2} mv^2[/tex]

v = [tex]\sqrt{\frac{2k}{m} }[/tex]

And potential energy of spring = [tex]\frac{1}{2}mx^2[/tex]

On equating these two equations we get ;

v = x[tex]\sqrt{\frac{k}{m}[/tex]

After substituting the value of x = 5.5 cm and m = 3.8g we would get

v=2.8m/s m=0.0038kg and x=0.055m.

(b) In the novel scenario, there is some potential energy present just before release. Energy conservation changes when d=0.015m.

Similarly solving the question we get :

v = 2.7 m/s

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If the universe was infinite in both extent and age then we would expect the night sky to be uniformly bright.

The universe can be described as all of space and time including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang Theory has given the cosmological description of the development of the universe.

Space and time emerged together approximately 13 billion years ago, and the universe is expanding ever since the Big Bang. While the spatial size of the universe is unknown and we can only measure the size of the observable universe.

From further observational improvements, the Sun can be defined as one of a few hundred billion stars in the Milky Way, which is one of a few hundred billion galaxies and also many of the stars in a galaxy have planets in the universe.

According to the Big Bang theory, matter and energy initially have become less dense as the universe expanded.

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There needs to be some form of differentiation between what size makes a planet because Eris was larger than Pluto and other planets were only marginally smaller than Pluto.

Asteroid: A relatively small, stony object that circles a star; asteroids are classified as "small solar system bodies" by the government.

Comet :A comet is a tiny, ice object that revolves around a star. Comets are classified as "small solar system bodies," the same category as asteroids.

Dwarf planet: An object that orbits the Sun and is sufficiently large that gravity has shaped it almost spherically, but which does not meet the criteria for designation as a planet because it has not yet cleared its orbital neighborhood. The asteroid Ceres and the Kuiper belt objects Pluto, Eris, Haumea, and Makemake are classified as dwarf planets in our solar system.

Meteor: An explosion of light brought on by a space particle burning up in our atmosphere.

A meteorite is a space rock that falls on Earth.

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Fill in blank answers are- electron degeneracy pressure, nova, massive star supernova, white dwarf limit, accretion disk and white dwarf supernova

The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of electron degeneracy pressure.

A nova occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system.

A massive star supernova occurs when fusion creates iron in the core of a star.

A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the white dwarf limit.

An accretion disk consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star.

A white dwarf supernova can occur only in a binary system, and all such events are thought to have the same luminosity.

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The final and initial changes in the potential are Ui = 1.323 J and Uf =0 in the term of variables in the given problem.

The initial and final potential energies are usually calculate by the formula that has mgh terms.

Here we can calculate mgh :

[tex]mgh = 1/2 Iw^2 + mv^2 /2 \\2gh = r^2 w^2 + v^2\\2gh = r^2 v^2/ r^2 +v^2\\v^2 = gh = 9.8 × 0.75= 2.71 m/s\\w = v/ r= 33.9 rad/sec\\initial energy of potential =vi = mgh = 1.323.\\final energy of potential = vf = 0 as the height is = 0.[/tex]

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