An astronomer observes two ordinary stars. the first one turns out to be twice as hot as the second. this means that the first one radiates:________

Answers

Answer 1

Two common stars are observed by an astronomer. It turns out that the first one is twice as hot as the second. This indicates that the first emits around 16 times as much energy as the second.

Describe about astronomers?

Astronomers are specialists in the field of astronomy, which is the study of celestial bodies and phenomena. They use various methods to explore and understand space beyond Earth, including using telescopes, satellites, and mathematical models.

They also compile data on different astronomical objects into comprehensive databases that can be used by researchers all over the world. This helps us to better understand our universe and how it works. Additionally, astronomers work towards developing new technologies that will help us probe further into space. As we continue to learn more about our galaxy and its many inhabitants, astronomers have a significant role to play in informing society about these discoveries.

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Related Questions

What horizontal force p must a worker exert on the rope to position the 50-kg crate directly over the trailer?

Answers

The horizontal force p must a worker, new tension is P= 122.62 N

The tension in the rope is

[tex]T_{1}=W_{create} g[/tex]

T1=50×9.81

T1=490.5 N

And the rope is in vertical position

When a worker exert a horizontal force P on the rope, new tension is

[tex]T_{2} =\sqrt{T1^{2} +P^{2} }[/tex]

[tex]T_{2} =\sqrt{490.5}^{2}+P^{2}[/tex]

Since T1 is vertical component to the tension T2

[tex]T_{1} =T_{2} cos \alpha[/tex]

[tex]490.5^{2} /cos^{2} 14.036=490.5^{2} +P^{2}[/tex]

[tex]P^{2} =490.5^{2} /cos^{2} 14.036 - 490.5^{2}[/tex]

P= 122.62 N

What is horizontal reaction force?

As long as no horizontal applied forces are present, the horizontal response force is zero. A single-support cantilever beam has a response force and reaction moment. The total applied forces on the beam are equal to the reaction force.

When the compression pressures are removed, the distortion may either be permanent or reversible. In the latter scenario, the deformation creates reaction forces that compete with the compression forces and may ultimately bring them into balance.

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A kangaroo can jump over an object 2.40 m high. calculate how long in seconds it is in the air. (3 sig figs

Answers

A kangaroo will stay 0.699s in the air when he jumps.

What motion does the projectile make?

A projectile is an object that is launched vertically into the air and moves while being pulled by gravity. A projectile is an object that is launched into the air horizontally and moves regardless of gravity.

How do you determine the rate of descent?

G = -9.81 m/s2 is the acceleration of gravity close to the earth. Simply multiply the acceleration of gravity by the period since the object was released to determine the object's speed (or velocity). In other words, velocity is equal to -9.81 m/s2 * time, or V = gt.

According to the given information:

From the conversion of energy  =[tex]h=\frac{g t^2}{2}[/tex]

                                                 t = √(2h/g)

                                                   =  √((2 x 2.40) / 9.8)

                                                  =0.699 s

A kangaroo will stay 0.699s in the air when he jumps.

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What volume (in ml) of 1 m barium hydroxide would neutralize 78.2 ml of 2.549 m hydrobromic acid?

Answers

C3H7Br would neutralize 78.2 ml of 2.549 m hydrobromic acid.

What is hydrobromic acid?

Hydrobromic acid, a powerful acid that is created by dissolving hydrogen bromides in water, is the end product.

Hydrobromic acid is a diatomic compound with the molecular symbol HBr. Hydrogen bromide is a colorless, suffocating gas that is extremely soluble and dissociated in water.

It quickly reeks when moist air is present. When encountered, hydrogen bromide gas, a very corrosive chemical, can cause severe burns.

Hydrobromic Acid’s Chemical Makeup – HBr

Sulfur dioxide, bromine, and water are produced when hydrobromic acid and sulfuric acid are combined. Below is the chemical equation.

Br2 + SO2 + 2H2O = 2HBr + H2SO4

2-Bromopropane is created when hydrobromic acid and propene undergo an addition process. Below is the chemical equation.

C3H6 + HBr = C3H7Br

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Name the four most abundant elements in the entire earth. use their full names instead of their symbols.

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Answer: Oxygen, silicon, iron and aluminum

Explanation: Oxygen, which composes about 49.5% of the total mass of the Earth’s crust, waters and atmosphere, according to the textbook “Modern Chemistry.” Silicon is second at 28%. Aluminum is a distant third, at only 8%. Compounds of silicon and oxygen make up 87% of the materials in the Earth’s crust.

find the electric field of the homogeneously charged cylinder with no holes. derive an algebraic expression for the electric field for a point inside the cylinder, and for a point outside.

Answers

The algebraic expression for the electric field for a point

Inside the cylinder, E = σ R / ε[tex]_{0}[/tex] rOutside the cylinder, E = 0

We know that,

Φ = Q / ε[tex]_{0}[/tex]

Φ = EA

Q = σ A

where,

Φ = Electric flux

Q = Total charge

ε[tex]_{0}[/tex] = Electric constant

σ = Surface charge density

A = Area

Area of cylinder = 2 π R l

where,

R = Radius of cylinder

l = Length of cylinder

To calculate electric field at a point outside the cylinder, a gaussian surface is considered outside the cylinder with a radius r ( > R ) and length l. The flux on Gaussian cylinder is equal to the charge on surface of the cylinder.

Q = σ 2 π R l

The electric flux on the surface of cylinder is

Φ = σ 2 π R l / ε[tex]_{0}[/tex]

The electric flux on the Gaussian cylinder is

Φ = E 2 π r l

On equating both,

σ 2 π R l / ε[tex]_{0}[/tex] = E 2 π r l

E = σ R / ε[tex]_{0}[/tex] r

This is the equation for electric field at a point outside the cylinder.

To calculate electric field at a point inside the cylinder, a gaussian surface is considered inside the cylinder with a radius r ( < R ) and length l.

E 2 π r l = 0 ( Since there is no flux created inside a closed cylinder )

E = 0

This is the equation for electric field at a point inside the cylinder.

Gauss law states that the total flux outside a closed surface is directly proportional to net charge enclosed by the surface.

Therefore, the algebraic expression for the electric field for a point

Inside the cylinder, E = σ R / ε[tex]_{0}[/tex] rOutside the cylinder, E = 0

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Which photon energies will excite the hydrogen atom when its electron is in the ground state?

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The photon energy excite the hydrogen atom when its electron is in the ground state −13.6eV.

The second energy level is -3.4 eV.

Therefore, if we calculate the energy levels E₁ & E₂

E₂ − E₁ = -3.4 eV − -13.6 eV = 10.2 eV

Hence, the above expression shows, to excite the electron from the ground state to the first excited state. Similarly

The energy of the electron in ground state is −13.6eV.and the energy required to move electrons from ground state to third excited state is 12.75eV.

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A spacecraft is in a 500-km by 900-km leo. how long (in minutes) does it take to coast from perigee to the apogee?

Answers

Spacecraft will take around 49 minute and 92 second to coast from perigee to the apogee.

We use Kepler's third law for which the time period is defined as

[tex]T = 2 \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]

The Prague's altitude is the shortest distance between the earth's surface and satellite.

The average distance of the perigee and  apogee of satellite can be defined as

a = R + [tex]\frac{r_{1} +r_{2} }{2}[/tex]

R is the radius of earth (6374.1km)

r1 is the lower orbit. (500km)

r2 is the higher orbit.(900km)

Using the values in above equation we get:

6374.1+ (500+ 900)/2

a = 7078.1 km

Time taken to fly from perigee to apogee equals to the half of the orbital speed so

t = T/2

[tex]t = \pi \sqrt[]{\frac{a^{3} }{GM} }[/tex]

by using the values we get-

=  √[(7078.1)³/6.67 ×10⁻¹¹ × 6×10²⁴]

= 295573.94 * 10⁻²

= 2995.73s

t = 49 mint 92 sec

It will take around 49 minute and 92 second to coast from perigee to the apogee.

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The left hand plays a steady one-two beat in duple meter, while the right hand emphasizes notes that fall in between these beats. what is the name for this technique?

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The left hand plays a steady one-two beat in duple meter, while the right hand emphasizes notes that fall in between these beats. The name for this technique is syncopation.

What is syncopation?Syncopation in music is the technique of fusing several rhythms to produce an entirely or partially off-beat piece of music. Simpler definitions for syncopation include "a disruption or interruption of the regular flow of rhythm" and "the placing of rhythmic stresses or accents where they wouldn't normally occur." It requires the correlation of at least two sets of time periods. Syncopation is used in many different musical genres, especially dance music. According to music producer Rick Snoman, syncopation is a fundamental element of any dance music and frequently serves to tie the entire song together. Syncopation, usually in the form of a back beat, is a feature of almost all contemporary popular music.

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If the position function of a particle is a linear function of time, what can be said about its acceleration?

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The acceleration of the particle will be 0.

We have position function of a particle is a linear function of time.

We have to determine its acceleration.

What is Acceleration ?

The rate of change of velocity with respect to time is called Acceleration.

According to the question -

Assume that the linear function of position of a particle is as follows -

x = mt + c

Where x is displacement of particle and t is time.

Now, Differentiating with respect time, we get velocity -

[tex]$\frac{dx}{dt} = \frac{d}{dt}\;(mt+c) = m[/tex]

Differentiating again with respect time, we get acceleration -

[tex]$\frac{d^{2} x}{dt^{2} } = \frac{d}{dt}\;m = 0[/tex]

Hence, the acceleration of the particle will be 0.

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Find the electron and hole concentrations and fermi level in silicon at 300 k for boron

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To find the electron and hole concentrations and fermi levels in silicon at 300 k for boron, fermi level is 9.3 x [tex]10^4 cm^-3[/tex].

Calculation and Explanation

Ionization energy for boron in Si, 0.045 eV

Fermi level in silicon,

300 K at [tex]10^{15} cm^{-3}[/tex] (Boron atoms)

All boron impurities are ionized, 300K

Electron, hole concentrations and Fermi levels is found out,

The value of Na = [tex]10^{15} cm^{-3}[/tex]

np = [tex]\frac{ni^2}{nA}[/tex]

np = [tex]\frac{(9.65 x 10^9)^2}{10^15}[/tex]

np= 9.3 x [tex]10^4 cm^-3[/tex]

Fermi level is calculated,

Ef - Ev = kT ln(NV/ND)

value of kT = 0.0259 eV (300° K)

So, substitution the values

Ef - Ev = kT ln(NV/ND)

Ef - Ev = 0.0259ln (2.66 x [tex]10^{19} / 10^{15}[/tex] )

Ef - Ev = 0.0259ln (26600)

Ef - Ev = 0.0259 x 10.18

Ef - Ev = 0.263 eV

What is ionization energy?

Ionization energy, also known as ionization energy (IE) or ionization energy (British English spelling), is the minimal amount of energy needed to free the most loosely bonded electron from an isolated gaseous atom, positive ion, or molecule in physics and chemistry.

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What is the acceleration due to gravity on earth

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The acceleration due to gravitation on earth is 9.806 m/s^2












The acceleration due to gravity on earth is 9.8 m / s^2

Acceleration on Earth at sea level is approximately 10 m/s2, what would be the
force of your egg drop package if the mass was 0.56 kg?

Answers

The correct answer is 5.6 Newton is the force on the egg .

Using newtons 2 law of motion

force  = mass  * accelaration

now accelaration =10 m / s^2

mass = 0.56 kg

force  = 0.56 * 10

force  = 5.6 newton

Newton's second law of motion governs the behavior of objects when all available forces are not balanced. The second law states that an object's acceleration is determined by two variables: the net force acting on the object and the object's mass. The acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. The acceleration of an object increases as the force acting on it increases. The acceleration of an object decreases as the mass of the object increases.

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If you throw a baseball horizontally with an initial speed of 25.0 m/s from a height of 1.90 m, how long (in s) will it take the ball to hit the ground?

Answers

Here the total time of flight is used to determine how long it will take the ball. it takes 5s to the ball to hit the ground.

Calculation

u = 25 m/s

h= 1.90 m

so tine of ascent = v= u + at

so u = gt so we have t =u/g

putting up the values we have,

t = 2.5 s

so total time of flight = 5s = time taken by the ball to hit the ground.

How is drop by height determined?

An object is said to be in free fall if there are no external forces acting on it other than gravity, which has the determined constant value of g = -9.8 m/s2. The object’s height, or h, is equal to ½ gravity times the square of the falling time. Horizontal projectile motion equations

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Your answer should include all the following pieces of information. Check off each of the items you included in your answer. It contains 11 protons in the nucleus. It contains 12 neutrons in the nucleus. It contains 10 electrons surrounding the nucleus. The number of electrons are calculated from net charge and charge of proton (+1) and electron (-1). 12 neutrons are calculated from atomic number: 11 and mass number: 23. DONE​

Answers

Its nucleus has eleven protons.

The nucleus of it has 12 neutrons.

The nucleus is surrounded by 10 electrons.

Net charge, proton (+1), and electron charges are used to calculate the number of electrons (-1).

Calculated from the atomic number of 11 and the mass number of 23, are 12 neutrons.

What are mass number and atomic number?

The total number of protons or electrons in an element is known as its atomic number. Therefore, using the atomic number to distinguish one element from another is helpful. The total number of protons and neutrons in an element is known as the mass number.

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Question:

An atom of sodium-23 (Na-23) has a net charge of +1. Identify the number of protons, neutrons, and electrons in the atom. Then, explain how you determined the number of each type of particle. Use the periodic table to help you.

If the cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s, what are the two relative velocities?


0.05 m/s and -0.05 m/s


0.95 m/s and -0.95 m/s


0.95 m/s and -0.05 m/s


0.05 m/s and 0.95 m/s

Answers

The cart's speed is 0.5 m/s and the puck's speed is 0.45 m/s is 0.05 and .95m/s

Given:

A=The cart's speed is 0.5 m/s

B=The puck's speed is 0.45 m/s

Relative velocity formula =

[tex]V_{AB}=V_{A}-V_{B}[/tex]

[tex]V_{AB}=.5-.45=.05\\[/tex]

[tex]V_{BA}=V_{B}-V_{A}[/tex]

=.5+.45=0.95

The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another. Many different sorts of interactions can have their relative velocity quantified. The velocity of an object in respect to another object is defined as relative velocity. It is a measure of how rapidly two items move in relation to each other. In physics, relative velocity is significant because it explains how objects move and interact with one another.

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The visible light spectrum is bounded on either side by which two types of radiation?

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The visible light spectrum is bounded by these two types of radiation: ultraviolet and near infrared.

In physics, electromagnetic radiations are kind of waves that carry electromagnetic field and travel through space.

These waves transport electromagnetic energy while traveling through space.

Different types of electromagnetic waves are radio waves, infrared light, microwaves, gamma rays, UV radiations, and x-rays. While visible light is made up of only infrared and UV.

All these waves have different wavelengths, frequency and energy and make definite part of the electromagnetic spectrum.

These waves have dual nature and also exhibit dual particle nature and travel with light speed.

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Ssuming that the relationship between spring compression and height is quadratic, how far will the ball go at the highest setting, which compresses the spring 3 cm ?

Answers

The ball goes at the highest setting of 2.25cm, which compresses the spring by 3 cm.

What is spring?

Spring is an elastic object that holds mechanical energy. Typically, springs are fabricated from spring steel. Springtime has many different patterns. A conventional spring without stiffness variability features exerts an opposing force that is roughly proportional to its change in length when it is compressed or stretched from its resting state. The word is frequently used to describe coil springs in daily speech (this approximation breaks down for larger deflections). The rate also referred to as the spring constant, is the proportion of a spring's change in force to change in deflection. In other words, it is the force against the deflection curve's gradient.

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For this question
Use =3.14
A stone of mass 0.40 kg is whirled round on the end
of a string 0.50 m long. It makes three complete
revolutions each second. Calculate:
a) its speed
b)its centripetal acceleration
c)he tension in the string

Answers

Answer:

c

Explanation:

The texture of the string. I took this test a week ago I got a 90% it is c!

The mass of an apple was 84.0 g.
The volume of the apple was 120 cm³.
Calculate the density of the apple.
Give your answer in g/cm³.

Answers

Density = mass / volume
= 84 / 120
= 0.7 g / cm^3

An airplane lands on a runway with a velocity of 150 m/s. how far will it travel until it stops if its rate of deceleration is constant at -3 m/s^2?

Answers

The airplane lands with a velocity of 150 m/s and its rate of deceleration is constant at -3 m/s^2,

[tex]u = 150 m/s[/tex]

[tex]a = -3 m/s^{2}[/tex]

[tex]v = 0[/tex]

According to the Equation of motion , [tex]v^{2} = u^{2} + 2as[/tex]

[tex]s =\frac{ v^{2} - u^{2} }{2a}[/tex]   [tex]= \frac{0^{2} - 150^{2} }{2*(-3)}[/tex]

s = 3750 m

Equations of motion are the mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.

The airplane will have to travel 3750 m until it stops if its rate of deceleration is constant at -3 m/s^2.

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Sing kepler's 3rd law, a hypothetical planet is twice as far from the sun as the earth. it should have a period of:_________

Answers

If a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.

In the early 17th century, Johannes Kepler observed planetary motions and researched them to give three laws known as Kepler’s Laws.

These laws are:

(1) Law of orbits

(2) Law of Areas

(3) Law of Periods

According to the third law, the square of the time period of revolution of a planet around the sun is proportional to the cube of the distance between the sun and the planet, represented by the following  formula

T^2 = r^3

Let T1 be the time period of the revolution of Earth and T2 be the time period of the revolution of the hypothetical planet.

Let r1 be the distance between Earth and the sun and r2 be the distance between the hypothetical planet and the sun.

From the above equation

T1^2 = r1^3

T2^2 = r2^3

Dividing the above equations,

(T1/T2)^2 = (r1/r2)^3

We are given that,

r2 = 2 x r1

And T1 = 365 days

So,

(365/T2)^2 = (r1/2r1)^3

Solving the above equation,

T2 comes out to be 1032 days.

Hence, if a hypothetical planet is twice as far from the sun as the earth, it should have a time period of 1032 days.

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How many grams of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions?

Answers

4.89g of solid magnesium nitrate (148.3 g/mol) should be added to 500 ml of 0.118 m of sodium nitrate in order to produce an aqueous 0.25 m solution of nitrate ions.

Solution and Explanation

From the given info, we know that there is already the presence of nitrate already mixed in the solution. then we have to find out how more is required to be added to it.

first, we find moles of NaNO3

0.500L x 0.118 M = 0.059 moles NaNO3

this means there are 0.059 moles of[tex]NO^{-} _{3}[/tex]

Here volume is not changing, so amount of moles needed to make this concentration = 0.25M x 0.5L = 0.125 moles

0.125 - 0.059 moles = 0.066 moles of [tex]NO^{-} _{3}[/tex] required to be added in the solution.

for every 1 mole of Mg[tex](NO^{-} _{3} )_ {2}[/tex], there are 2 moles of [tex]NO^{-} _{3}[/tex].

so, we will only need half of the total moles of magnesium nitrate.

converting moles to grams,

0.033 moles Mg[tex](NO^{-} _{3} )_ {2}[/tex] x 148.3 g/mol = 4.89g Mg[tex](NO^{-} _{3} )_ {2}[/tex]

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Which is an electronic tool that can be used to improve science?

Answers

Answer:

Telescope, Probware, etc,..

Answer: probeware

Explanation:

the answer is probeware

if you mean by the options,

A. a ruler

B. a thermometer

C. a beaker

D. probeware

Olympus mons, thought to be the largest volcano in the solar system, can be found on which planet?

Answers

Olympus mons can be found on Mars planet.

What is Olympus mons?

In the Tharsis Montes region, close to the Martian equator, Olympus Mons is one of a dozen large volcanoes, many of which are ten to one hundred times taller than their terrestrial counterparts. The massive Martian mountain towers high above the surrounding plains of the red planet and may be waiting for the next eruption. The highest of them all runs about 374 miles (624 km), or about as far as the state of Arizona, and rises 16 miles (25 km) over the plains below. Olympus Mons rises three times higher than Mount Everest, which has a peak elevation of 5.5 miles above sea level and is the tallest mountain on Earth.

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A tennis player serves a ball horizontally at a height h = 2.7 m a distance d = 14.9 m from the net. what minimum speed must the ball be served so as to clear the 1.08 m tall net?

Answers

The minimum speed the ball must be served so as to clear the net is 25.69 m / s

We know that,

Speed = Distance / Time

In order to calculate the time, we can use one of the equations of motion,

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

where,

y = Initial height

[tex]y_{0}[/tex] = Final height

[tex]v_{0}[/tex] = Initial velocity

a = Acceleration due to gravity

t = Time

Given that,

y = 2.7 m

[tex]y_{0}[/tex] = 1.08 m

[tex]v_{0}[/tex] = 0

a = -9.81 m / [tex]s^{2}[/tex] (Due to gravity)

Distance = 14.9 m

y = [tex]y_{0}[/tex] + [tex]v_{0}[/tex]t + 1/2 a[tex]t^{2}[/tex]

2.7 = 1.08 + 0 + 1/2  * ( -9.81 ) * [tex]t^{2}[/tex]

[tex]t^{2}[/tex] = 1.62 / ( - 4.9 ) = 0.33

t = 0.58 s

Speed = 14.9 / 0.58

Speed = 25.69 m / s

Velocity (speed) is the rate of change of distance with respect to time. It is denoted as V.

Therefore, the minimum speed the ball must be served so as to clear the net is 25.69 m / s

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Which microscope shows cells against a bright background and the intracellular structures of unstained cells based on their varying densities?

Answers

Phase contrast microscope shows cells against a bright background and the intracellular structures of unstained cells based on their varying densities.

A technique called phase-contrast microscopy is used to contrast a translucent object without staining it. Phase-contrast microscopy has a number of benefits, including the ability to employ high-resolution objectives, but doing so necessitates a specialised condenser and more expensive objectives.

With the help of the optical contrast technique known as phase contrast, biological specimens' cells can show their unstained architecture. With brightfield illumination, cell structures that appear transparent can be seen in high contrast and in great detail with phase contrast.

Phase-contrast photographs often have a grey backdrop with varying amounts of light and dark elements. Halo-light ring creation, a drawback of phase-contrast microscopy, is one.

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An earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km. what is the angular momentum (in km 2/s)?

Answers

An earth satellite has a speed of 7.5 km/s and a flight path angle of 10 degrees when its radius is 8000 km.

-21.7km square /s square is the angular momentum (in km 2/s).

what is a satellite?The term "satellite" or "artificial satellite" refers to an object that has been placed into orbit in space on purpose. Except for passive satellites, most spacecraft have a way of generating power for the technology they carry, such as solar panels or radioisotope thermoelectric generators (RTGs). Most satellites also have transponders, which are a type of ground station communication system. The most typical satellites, tiny CubeSats, use a standardi Due to the expensive cost of space launch, satellites are designed to be as light and durable as possible. Satellites of the same type can work together to form constellations.

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A boat is stationary at 12m away from a dock. The boat then begins to move toward the dock with an acceleration of 5.0m/s^2

How long will it take the boat to reach the dock?

Answers

The following question can be solved using formulas of Motion on one dimension as there is no updrift or downdrift


We will use the formula

[tex]v^{2}-u^2=2aS[/tex]

where v is the final velocity

u is the initial velocity

a is the acceleration of the boat

s is the distance in meters

u=0 as the initially the boat is at rest

S=12meter

acceleration is 5 m/s^2

[tex]v^{2}=[/tex]2 x 5 x 12

v^2=120

therefore final velocity is [tex]\sqrt{120}[/tex]=10.95m/s

Now using the formula v=u+at

v=[tex]\sqrt{120}[/tex]

[tex]\sqrt{120}[/tex]=0+5 x t

t= [tex]\sqrt{ 120[/tex]/5

t = 2.20 seconds

t is the time taken

Hence the boat takes 2.20seconds

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An object that is dropped from a height H falls with a constant acceleration of g. The final
speed, v, just before it reaches the ground can be expressed as v = sqrt(2gh). By how much does the height need to change double the final velocity?

Answers

The height need to change by 4 to double the final velocity.

Final velocity of the object

The final velocity of an object during a free fall is related to maximum height of fall as given the equation below.

v = √2gh

v² = 2gh

v²/h = 2g

v₁²/h₁ = v₂²/h₂

when v₂ = 2v₁, change in height is calculated as;

h₂ = h₁v₂²/v₁²

h₂ = (h₁ (2v₁)²) / (v₁)²

h₂ = 4h₁v₁² / v₁²

h₂ = 4h₁

Thus, the height need to change by 4 to double the final velocity.

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At 1:00 pm a car, traveling at a constant velocity of 98 km/hr toward the west, is 27 km to the west of our school. How far from the school will it be at 3:30 pm?

Answers

Answer:

See below

Explanation:

It will be 1 PM distance (27km)  + 2 1/2 hrs of 98 km/hr

   =     27   +      2 1/2 * 98 = 272 km west of school

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