Radio astronomy has played a pivotal role in showing us the detailed structure of the Milky Way Galaxy. Which of the following techniques would a radio astronomer use as an essential part of an investigation of this structure?
Answer: Measuring the Doppler shift of a line in a radio spectrum

Answer:

a) ω = 4.49 rad/s

b) v = 2.69 m/s

Explanation:

a) The angular speed can be found by using the rotational rate:

\( \omega = \frac{1 rev}{1.4 s}*\frac{2\pi rad}{1 rev} = 4.49 rad/s \)

Hence, the angular speed is 4.49 rad/s.

b) The tangential speed is given by:

\( v = \omega*r = 4.49 rad/s*0.6 m = 2.69 m/s \)

Therefore, the tangential speed is 2.69 m/s.

I hope it helps you!            

i) The initial deceleration of the car is -1.6 m/s² and  the time taken is 5 seconds

ii) The final deceleration is -1 m/s²

iii) The total dispalcement = 1016 m

The initial deceleration of the car is given by the formula below:

v² = u² + 2as

where;

Solving for a;

12² = 20² + 2 * a * 80

a = -1.6 m/s²

Time taken, t = v - u / a

t = 12 - 20 / (-1.6)

t = 5 seconds

Final deceleration:

a = v - u / t

a = 0 - 12 / 12

a = -1 m/s²

iii) Displacement at constant velocity = 12 * 1 * 60

Displacement at constant velocity = 720 m

Final displacement, s = ut + 0.5at²

s = 12 * 12 + 0.5 * 1 * 12²

s = 216 m

Total dispalcement = 80 + 720 + 216

Total dispalcement = 1016 m

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The focal length of the curved mirror is 6.67 meters.

The focal length of a curved mirror can be calculated using the mirror equation:

1/F = 1/Do + 1/Di

Where:

F = focal length of the mirror,

Do = distance of the object from the mirror and

Di = distance of the image from the mirror

In the given case, the object is located 2 meters in front of the mirror and the image is located 1.3 meters behind the mirror. Therefore:

according to the given data:

Do = 2 m

Di = -1.3 m (negative sign indicates that the image is behind the mirror)

Substituting in the equation, we get:

1/f = 1/2 - 1/1.3

Simplifying:

1/f = 0.15

Multiplying both sides by f:

= 6.67 meters

Therefore, the focal length of the curved mirror is 6.67 meters.

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An annotated bibliography is a list of citations to books, articles, and documents. Each citation is followed by a brief descriptive and evaluative paragraph, the annotation. The purpose of the annotation is to inform the reader of the relevance, accuracy, and quality of the sources cited.

The cue column is typically located on the left-hand side of the page and is used to jot down keywords or questions that serve as cues for recalling the main points of the lecture or reading. The note-taking area is located on the right-hand side of the page and is used to write down detailed notes about the lecture or reading.

The summary section is located at the bottom of the page and is used to summarize the key points of the notes. Overall, the Cornell method is an effective way to organize and retain information during lectures and readings.

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(a) The ratio of the slit separation d, to the slit width D;

                               d/D = 0.0001

(b The ratio of the slit width to the wavelength of the light source λ;

                                d/λ = 51.25

(c) The wavelength, in nanometers, of the light source;

                                   λ = 331.7 nm

(d) The slit width, in micrometers;

                                   d = 20.5 µm

(a) We know that Fringe width is given by,

                                  \(\beta =\frac{D\lambda}{d}\)

Where,

           D = slit to screen distance

           λ = wavelength

           d = slit width

Given in the question,

           D = 2.05 m

           \(\beta =4 cm=0.04m\)

Now,

          \(\frac{d}{D} =\frac{\lambda}{\beta } =\frac{400*10^{-9} }{0.04}\)

                 d/D = 0.0001

Hence,

            The ratio of the slit separation d, to the slit width D;

                               d/D = 0.0001

(b) Ratio of d & λ,

                            \(\frac{d}{\lambda} =\frac{D}{\beta }\)

                            \(\frac{d}{\lambda}=\frac{2.05}{0.04}\)

                            \(\frac{d}{\lambda}=51.25\)

Hence,

           The ratio of the slit width to the wavelength of the light source λ;

                                d/λ = 51.25

(c)  The wavelength of the light source,  

                            \(\lambda=\frac{D\beta }{d}\)

                            \(\lambda=\frac{17*10^{-6} *0.04}{2.05}\)

                            \(\lambda=331.7nm\)

Hence,

            The wavelength, in nanometers, of the light source;

                             λ = 331.7 nm

(d) The slit width,

                           \(d =\frac{D\lambda}{\beta }\)

                           \(d=\frac{400*10^{-9} *2.05}{0.04}\)

                           \(d=20.5 \mu m\)

Hence,

           The slit width, in micrometers;

                                   d = 20.5 µm

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Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Answer:

The energy a spring has by being compressed.

Explanation:

Potential energy is stored energy, whereas kinetic energy is the energy of moving things.

Answer:

1. 38,500

2. 308,000

Explanation:

This would require a calculator. To find momentum, you multiply mass and velocity. You always want your mass to be measure in kilograms, but that is irrelevant in this question because they already are, it is just something to remember.

Answer:

A force creates an opposite reaction and so the rocket is propelled forward from the thrusting of its engines.

Explanation:

Newton's third law of motion states that a force will have an opposite and equal reaction. For example, you punching a sandbag will give that sandbag a dent made from the force, but it will also hurt your hand because it gave an equal force. This applies the same with rockets, gas is burned and thrusted out of the rocket to create an opposite force to propel it forward.

Answer: Eclipses do not happen at every new moon, of course. This is because the moon's orbit is tilted just over 5 degrees relative to Earth's orbit around the sun. For this reason, the moon's shadow usually passes either above or below Earth, so a solar eclipse doesn't occur.

Explanation:   :>

Given data:

* The final velocity of the ball is 0m/s.

* The acceleration of the ball is,

* The time taken by the ball is 8 s.

Solution:

By the kinematics equation, the initial velocity of the ball in terms of the final velocity, acceleration, and the time taken is,

where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken,

Substituting the known values,

Thus, the initial velocity of the ball is 3.2 m/s.

Hence, option D is the correct answer.

Answer:

true

Explanation:

The ciliary muscle is a smooth muscle ring that controls accommodation by altering the shape of the lens

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The subatomic particle that is not a part of the nucleus which stays bound to the atom is the electron and is to maintain relative stability.

This is defined as a sub atomic particle which is negatively charged and revolve around the nucleus. In an atom the number of electron is usually equal to the number of the proton which is positively charged and present in the nucleus.

The electron not being in the nucleus is a a result of it wanting to maintain stability because its presence will produce a wavelength which will break the nucleus apart.

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If metal is required to cast the cubical metal box, it would require 784cm3 of solid static electricity iron.

Unbalanced electric charge on such a material's surface is known as static electricity. In contrast for dynamic (moving) electricity, which takes the shape of electric currents, static electricity is defined as being fixed or immovable. A typical atom is neutral, meaning it has an equal number of protons and electrons.

Although static electricity does not directly endanger human life, it can nonetheless shock us and, if we were on an elevated surface, might inflict serious injuries.

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The compressive stress in the steel column is found to be approximately 397.6 MPa.

The formula for calculating the area of a circle can be used to determine the steel column's cross-sectional area (A),

A = π*(d/2)², diameter of the column is d,

A = π*(0.4/2)²

A = 0.1257m²

The compressive stress (σ) in the column can be calculated using the formula, σ = F/A, F is the load carried by the column is F.

σ = 50 MN/0.1257m²

σ = 397.6 MPa

Therefore, the compressive stress in the steel column is approximately 397.6 MPa.

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The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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Answer:

Wax melts as it absorb heat from flame

Explanation:

To know which option is correct, it is important that we know what chemical changes and physical changes are all about.

Chemical change is a change in which the process is not easily reversed and it produces new substance.

Physical change is more like the opposite of chemical change. In this change, the process is easily reversed and no new substance is produced.

Considering the options given above,

1. Iron combines with oxygen to produce rust is a chemical change since a new substance (rust) is formed and we can not reverse the process to get back iron and oxygen.

2. Wax melts as it absorb heat from flame is a physical change since no new substance is formed and we obtained the wax by allowing it to solidified.

3. Pure sodium explodes when dropped in water is a chemical change because we can not reverse the process to get back the sodium.

4. Glucose molecules are produced in plant leaf is also a chemical change.

From the illustrations above, it is evident that: 'Wax melts as it absorb heat from flame' is not a chemical

Answer:

6 km is the right answer

hope it helps you

Explanation:

please mark me as brainliest

Answer:

The correct answer is B

Explanation:

The lunar month is the time it takes for the moon to go around the Earth, for this we use Newton's second law where the force is the universal force of attraction

         F = ma

the universal attractive force is

           F = G M_earth m_moon / r²

Accelerations centripetal acceleration

           a = w² r

the angular velocity is for the movement is

         w = 2π / T

Where T is the period of revolution; let's substitute

         G M_eath m_moon / r² = m_moon (2π /T)² r

          G M_earth = 4π² / T² r³

           T² = (4π² / G M_eart) r³

Let's analyze this equation we see that it does not depend on the mass of the Luma, therefore the period is the same

The correct answer is B

Answer:

A. heat is released from the ocean and land causing wind.

To resolve the star-planet system at a distance of 4 light-years, a telescope on Earth would need an aperture with a minimum diameter of 55.88 mm.

In optical microscopy, the Rayleigh criterion is frequently used to estimate the resolution of the microscope. The resolution limit imposed by this criterion has long been regarded as a roadblock to using an optical microscope to study biological phenomena at the nanoscale.

We can use the Rayleigh criterion,

θ = 1.22 λ / D

θ = angular resolution

λ = wavelength of light

D = diameter of the telescope's aperture

θ = arctan (r / d)

r = radius of the planet's orbit

d = distance to the star

Now, we use the given values,

r = 149.6×106 km = 149.6×109 m

d = 4 × 9.461×1015 m = 3.7844×1016 m

λ = 550 nm = 550×10-9 m

θ = arctan (r / d)

   =arctan (149.6×109 / 3.7844×1016) = 0.000012 radians

we can use the Rayleigh criterion,

θ = 1.22 λ / D

D = 1.22 λ / θ

D = 1.22 × 550×10-9 / 0.000012

D = 55.88 mm

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Paul Cezanne's Still Life with Apples in a Bowl (1879-83) represents a break with the tradition of using linear perspective in art.

One of the pioneers of modern art, Cezanne used a novel approach to painting at the time. In his still life paintings, Cezanne represented things utilizing a system of flattened planes and simplified forms rather than the conventional perspective techniques that provide the impression of depth and space.

Additionally, he played around with color, relying on color blocks rather than shading and modeling to convey a sense of volume and form.

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Answer:

Explanation:

Use Archimedes' principle, that states something of this nature: "The buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced"

Say, you take a cube of wood(for example) and place it in a bucket of water. Your cube is bound to sink, until, the upthrust force equals its weight.

Where does this upthrust come from?

As the cube sinks, it displaced some volume of water(if the bucket were full you would see water pouring out)

Archimedes simply stated that: Upthrust,

U=mg

Answer:

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a) The angle θ1 which the righthand cable makes with respect to the ceiling is  sin^(-1)(692 N / 530 N).

b) The angle θ2 which the left-hand cable makes with respect to the ceiling is  sin^(-1)(692 N / 570 N).

We may utilise the tension of the right-hand cable as well as its vertical and horizontal components to determine the angle 1. θ2 = sin^(-1)(692 N / 570 N).

We may apply the ideas of trigonometry and vector addition to address this issue.

a) The tension of the right-hand wire as well as its vertical and horizontal components can be used to determine the angle 1.

T1sin(1) calculates the vertical component of the right-hand cable's tension, which is equal to the object's weight (692 N).

T1sin(θ1) = 692 N

We may rearrange the equation to find 1:

θ1 = sin^(-1)(692 N / T1)

We can find 1 by substituting the given tension value, T1 = 530 N:

θ1 = sin^(-1)(692 N / 530 N)

b) Similarly, we can use the formula to determine the angle 2 the left-hand cable's tension and its vertical and horizontal components.

The vertical component of the left-hand cable's tension is given by T2sin(θ2), and it should also be equal to the weight of the object (692 N).

T2sin(θ2) = 692 N

To find θ2, we can rearrange the equation:

θ2 = sin^(-1)(692 N / T2)

Substituting the given tension value T2 = 570 N, we can solve for θ2:

θ2 = sin^(-1)(692 N / 570 N)

Calculating these angles using the given tension values will provide the answers in degrees.

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We can see here that the diagram that reveals the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems is seen below.

A photon is a fundamental particle or quantum of light.

It is the smallest indivisible unit of electromagnetic radiation, which also includes radio waves, microwaves, X-rays, visible light, ultraviolet light, and infrared radiation. In scientific calculations, photons are represented by the symbol "c" and move at the speed of light in a vacuum while carrying energy.

Wave-particle duality is the idea that photons are both particles and have wave-like characteristics. This means that they can exhibit wave-like properties like interference and diffraction as well as discrete particle behavior, each with a distinct energy and momentum.

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