Two planets, john and mary, are identical in density and temperature, but mary is larger in size (radius) than john. which planet is likely to have a more substantial atmosphere?

Light propogates from soda lime glass into pyrex glass of different refractive indices indicating a change in the medium which can be used to find out the critical angle.

The critical angle is the angle of incidence for which the angle of refraction comes out to be 90°. It is related to the refractive indices (Plural of refractive index) by the following relation:

Sini = 1/u, where u is the ratio of refractive index of medium 2 and medium 1

According to the question, Light propogates from soda lime glass (Medium 1, u1=1.518) into pyrex glass(Medium 2, u2=1.473), i.e. from a denser medium to rarer medium. So, the ratio of refractive index becomes u2/u1= 1.473/1.518=0.97

Putting the ratio in the above-mentioned formula,

∴ Sini = 1/0.97

i= 75.9°

Hence, the critical angle(i) for the given situation is 75.9°.

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Weight of the mass is the tension in the string if the turntable is held fixed, with the mass hanging from the pulley

Weight is a force that acts at all times on all objects near Earth. The Earth pulls on all objects with a force of gravity downward toward the center of the Earth. Weight (symbolized w ) is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.

The tension force is defined as the force that is transmitted through a rope, string or wire when pulled by forces acting from opposite sides. The tension force is directed over the length of the wire and pulls energy equally on the bodies at the ends.

The direction of tension is the pull which is given the name tension. Thus, the tension will point away from the mass in the direction of the string/rope. In case of the hanging mass, the string pulls it upwards, so the string/rope exerts an upper force on the mass and the tension will be in the upper side.

Tension will act opposite the the weight of the mass attached in order to maintain equilibrium .

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The obsessive disinhibition form of a craving is the result of dysfunction in the    5ht    neurotransmitter.

One of the major neurotransmitters in mammals' nervous systems is 5-HT (also known as serotonin), which is well known for modulating key aspects of daily living like mood, sleep, social behaviors, learning, and appetite (Barnes and Sharp, 1999; Gingrich and Hen, 2001; Canli and Lesch, 2007).

The central and peripheral nervous systems contain a variety of G protein-coupled receptors and ligand-gated ion channels known as 5-HT receptors, 5-hydroxytryptamine receptors, or serotonin receptors. Both excitatory and inhibitory neurotransmission is mediated by them.

5-HT produces only inhibitory effects on excitatory or inhibitory transmission in the bed nucleus of the stria terminalis (BNST) [16] and the periaqueductal grey (PAG).

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The shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.

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

                          [tex]v=u+at[/tex]

                        [tex]v=70mph=31.29m/s\\1mile=1609.3m,1hour=3600s\\u=0\\k_s=1\\k_k=0.8[/tex]

                    [tex]a=g*k_s=9.8*1=9.8m/s^2[/tex]

                    [tex]t=\frac{v-u}{a} \\t=\frac{31.29}{9.8}=3.193s[/tex]

Thus, we can conclude that, the shortest time in which a car could accelerate from 0 to 70 mph is 3.193 seconds.

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The change in heat q for the aluminum cup is 141 J.  

A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.

change in heat -

The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.

The answer's sign dig is determined by a calculation's lowest sign digits.

The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).

31.91 g   * 0.903 J/g-C  *  (26.1 - 21.2 C) = 141 J

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The acceleration would be 1m/s²

putting pressure to a door to push or pull it. Because force is a vector variable, it has both magnitude and direction. Force is defined as the "product of mass and acceleration of a body," in accordance with Newton's second law.

Acceleration - any process that alters velocity. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.

if the force applied is f

the mass of the object is m

and acceleration is a = 2m/s²

so the relation will be,

f = ma

f = m×2

ATQ,

Now, when mass is 2m

a = f/m

a = 2m / 2m

a = 1 m/s²

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The voltage remain constant

According to Ohm's Law:

V = IR

If we halved the resistance let:

R'=R/2

then

I'=21 in order to kept the Voltage same. Also the resistance is the opposition to the current. So, if resistance will halved then obviously current will double

So when we put these value in to Ohm's Law the results is:

V'=I'R'

V'=21(R/2)

V'-IR which is equal to first voltage. Hence,

V'=V

So, the voltage remains same

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Earth is a good example of inertial frame of reference.

To find the answer, we have to know about the Inertial frame of reference.

Thus, we can conclude that, Earth is a good example of inertial frame of reference.

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The frequency of the re-emitted light is identical to that of the absorbed light.

To find the answer, we need to know more about the frequency of light.

                              [tex]frequency=\frac{c}{wave length}[/tex] , c is the speed of light.

Thus, we can conclude that, the re-emitted light's frequency matches the absorbed light's frequency.

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The speed at which the other car is travelling is 27.71 m/s.

The speed of the second car is calculated as follows;

f₂ = f₁(v + v₁)/(v - v₂)

where;

600 = 512(345 + 26.8) / (345 - v₂)

600/512 = (345 + 26.8) / (345 - v₂)

1.1718 = 371.8/(345 - v₂)

345 - v₂ = 371.8/1.1718

345 - v₂ = 317.289

v₂ = 345 - 317.289

v₂ = 27.71 m/s

Thus, the speed at which the other car is travelling is 27.71 m/s.

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The sun only appear to pass through the constellations of the zodiac because Over the course of a year, the sun appears to be in front of, or “in”, different constellations due to its orbit .

A group of stars that can be identified with the shape of an identifiable object like an animal or a known object is called a constellation. Major constellations are the Ursa Major, Ursa Minor and Cassiopeia.

Its motion is entirely an illusion, caused by Earth's own motion around our star. Over the course of a year, the sun appears to be in front of, or “in”, different constellations. One month, the sun appears in Gemini; the next month, in Cancer.

If we wanted to (and were endowed with supernatural powers), we could alter Earth's orbit so that the Sun appears to move through other constellations. Neither Lupus nor Lyra can be zodiac constellations, however, because the Sun doesn't "move through them."

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A atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).

The expression 'nuclear forces' makes reference to the attraction between different subatomic particles in a given nucleus of a particular atom, which represents the strongest force in the universe.

Subatomic particles include positively charged particles (i.e., protons), neutrally charged particles called neutrons, and electrically negative charged particles called electrons (e-).

In conclusion, a atomic neutron particle that is attracting another atomic neutron is an example of the strong nuclear force acting in an atom (Option B).

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The electric field between plates is 4000V/m.

An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles.

The value of the electric field has dimensions of force per unit charge. In the metre-kilogram-second and SI systems, the appropriate units are newtons per coulomb, equivalent to volts per metre.

The voltage between points A and B is

V=E.d

E =V/d  (uniform E- field only)  

where  d is the distance from A to B, or the distance between the plates.

Given:

distance d = 3 cm

voltage V = 120 V

Electric field E = V/d

                     E = 120 V / 3cm

                     E = 40 V / 1 cm               [ 1 cm = 1/100 m ]

                    E = 4000 V/m.

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Based on the document attached, the  small bar magnet will be oriented when placed at position X is option d:

The orientation of the magnets   is known to be one that do affect its magnetic force. Atoms atoms, such as iron, are known to often gives a stronger magnetic force when compared to other atoms.

These atoms can be seen as tiny magnets, that has the north and south of each pole. If the poles is known to be oriented in all directions, the material will not bring about a net magnetic force.

Therefore, Based on the document attached, the  small bar magnet will be oriented when placed at position X is option d because the shapes of the magnetic field lines in regards to the bar magnet are said to be closed.

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a.  

b.

c.

A grade is the ratio of the vertical rise to horizontal run of a road

The coefficient of static friction is a number which shows the amount of friction between two surfaces.

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Telegraph hill = 31.5%

= 31.5/100

= 0.315

θ = tan⁻¹(grade)

θ = tan⁻¹(0.315)

θ = 17.48⁰

So, the angle for telegraph hill is 17.48⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan17.48⁰

≥ 0.315

So, the coefficient of static friction has to be no less than 0.315

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Canton Ave. = 37%

= 37/100

= 0.37

θ = tan⁻¹(grade)

θ = tan⁻¹(0.37)

θ = 20.3⁰

So, the angle for Canton Ave. is 20.3⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan20.3⁰

≥ 0.37

So, the coefficient of static friction has to be no less than 0.37

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Bradford Street = 41%

= 41/100

= 0.41

θ = tan⁻¹(grade)

θ = tan⁻¹(0.41)

θ = 22.3⁰

So, the angle for Bradford Street is 22.3⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan22.3⁰

≥ 0.41

So, the coefficient of static friction has to be no less than 0.41

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A galvanic cell is formed when two metals are immersed in solu- tions differing in concentration 1 when two different metals are immersed.

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A subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

To find the answer, we need to know about the critical mass.

Thus, we can conclude that, a subcritical state will result by flattening a critical mass of fissionable material into the shape of a hamburger.

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Government  should continue to fund fusion energy research because:

Fusion energy is the energy produced from fusion reactions.

Fusion reactions are a type of nuclear reaction in which small atomic nucleus are fused together to produce larger atomic nucleus with the release of large amounts of energy.

The Sun produces its energy from fusion reactions between hydrogen atoms to produce helium nucleus. This reaction takes place at very high temperatures.

It is important that the government continue to fund fusion energy research because:

In conclusion, the continuous government funding will make it possible to finally discover cheaper and more feasible ways to produce fusion energy.

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The wire's magnetic field lines are circles that are perpendicular to the wire and have their centers on the wire.

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The reason the position of a particle cannot be specified with infinite precision is the uncertainty principle .

The position of a particle moving in a straight line is a vector which represents a point P on the line in relation to the origin O. The position of a particle is often thought of as a function of time, and we write x(t) for the position of the particle at time t.

The Heisenberg uncertainty principle is a law in quantum mechanics that limits how accurately you can measure two related variables. Specifically, it says that the more accurately you measure the momentum (or velocity) of a particle, the less accurately you can know its position, and vice versa.

The uncertainty principle (for position and momentum) states that one cannot assign exact simultaneous values to the position and momentum of a physical system. Rather, these quantities can only be determined with some characteristic “uncertainties” that cannot become arbitrarily small simultaneously

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Answer:

d) the object gets bluer

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

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

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

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

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

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The energy of a photon given that the radiation has a wavelength of 440 nm will be  .045 * [tex]10^{-17}[/tex] J

A photon is the quantum of electromagnetic radiation that describes the particle properties of an electromagnetic wave. The energy of a photon is given by the equation E = hf, where E is energy, h is Planck's constant, and f is frequency.

Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength

Energy = h*c / lambda

h= plank's constant =  6.626 * [tex]10^{-34}[/tex] J

c = speed of light = 3 * [tex]10^{8}[/tex] m/s

lambda = wavelength = 440 nm = 440 * [tex]10^{-9}[/tex] m

energy of a photon = 6.626 * [tex]10^{-34}[/tex] * 3 * [tex]10^{8}[/tex] / 440 * [tex]10^{-9}[/tex]

                                 = 19.878 * [tex]10^{-26}[/tex] /  440 * [tex]10^{-9}[/tex]

                                 = .045 * [tex]10^{-17}[/tex] J

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If we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.

The double or two-slit interference is a demonstration that light and matter can display characteristics of both classically defined waves and particles.

It  also displays the fundamentally probabilistic nature of quantum mechanical phenomena.

During a two-slit interference experiment, a beam of light is aimed at a barrier with two vertical slits.

fringe width = λ L / D

where;

Thus, if we increase the wavelength (λ), fringe width will increase and the interference pattern on the wall will spread out.

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The ratio of their amplitudes will be 2.41.

To find the answer, we have to know more about the simple harmonic motion.

                        [tex]E_1=5.8E_2\\m_1=m_2 \\\omega_1=\omega_2[/tex]

                        [tex]A=\sqrt\frac{2E}{k} \\k=m\omega^2[/tex]

                      [tex]\frac{A_1}{A_2} =\sqrt{\frac{E_1}{E_2} } =\sqrt{\frac{5.8E_2}{E_2} } =2.41[/tex]

Thus, we can conclude that, the ratio of their amplitudes will be 2.41.

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The wrong statement is that sound waves created vibration Option A.

Sound is a type of waves that moves in compressions and rare factions. This implies that sound is a mechanical wave. Recall that a mechanical wave is one that requires a material medium for propagation. Now we know that if we set the medium into vibration, that is when the sound waves begins to vibrate. That brings us to the idea that it is the vibration that causes the sound waves and not the sound waves that creates the vibration.

Thus, knowing that sound is a mechanical wave which moves through solids liquids and gas and that the vibration of the source of sound is what causes the air to vibrate, we conclude that the wrong statement is that sound waves created vibration Option A.

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Answer:

a

Explanation:

Answer:

sound is how an animal or human perceives a sound wave

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

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

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

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

W = Fd

where;

W = (mg)d

W = (17 x 9.8)d

W = 166.6d

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

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With the help of the motion equation, it is calculated that if the vehicle slows down at a pace of -4.0 m/s², stopping will take 7.5 seconds.

Motion equation:

Three motion equations commonly referred to as the rules of constant acceleration, exist for a uniform acceleration. In order to derive the components such as displacement(s), velocity(initial =u and final = v), time(t), and acceleration(a), these equations are utilized. They are therefore only applicable in straight-line motion with constant acceleration. Here are the three equations:

Calculating the time :

The formula for the motion equation is

v = u - at

v = final velocity

u = initial velocity

a = acceleration

t = time

Here, v = 0 ,as the automobile comes to a stop

u = 30 m/s

a = -4 m/s²

So, v = u - at

 ⇒0 = 30 - 4t

⇒4t = 30

⇒t = 30/4

⇒t = 7.5 seconds

Therefore, the required time calculated is 7.5 seconds.

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