somebody please helpppp

The correct option is (a). Potential energy arises when we consider only conservative forces.

Indeed, potential energy has a conservative nature. Conservative forces in physics are ones where the work performed by the force on an object traveling along a straight line depends only on the object's beginning and final positions, and not on the path traveled. Conservative forces and potential energy have a close relationship.

A force is said to be conservative if it moves an object between two points without regard for the direction it travels. Potential energy is the energy related to the placement or arrangement of an object within a force field.

Hence, the correct option is (a). Potential energy arises when we consider only conservative forces.

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#Complete question is:
(a) We consider only conservative forces

(b) The system is isolated

(c)  The thermal energy can be neglected

(d) the work from external forces is zero

(e) Interactions are included within the system

The turntable's angular velocity, in rpm, just after this event is ω(f) = 78.40 rpm

I'll suppose that the turntable is a solid disc with a moment of inertia of 0.5Mr2 and that the blocks stick out from the edge of the turntable, each 10cm (0.10 m) from the turntable's centre. This is the conservation equation:

0.5Mr²ω(i) = 0.5Mr²ω(f) + m₁r²ω(f) + m₂r²ω(f)          ----(but m₁ = m₂ = m)

Mr²ω(i) = Mr²ω(f) + 4mr²ω(f)

Mr²ω(i) = ω(f)r²(M + 4m)

ω(f) = Mω(i) / (M + 4m)

ω(f) = (2.3kg)(150 rpm) / [2.3kg + (4 x 0.55 kg)]

The turntable's angular velocity, in rpm, just after this event is ω(f) = 78.40 rpm

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The correct option is b) Observations of the amount of hydrogen in the universe.

What is big bang theory?

The Big Bang Theory is the most popular theory about how the cosmos came into being. Simply expressed, it claims the universe as we know it began with an unimaginably hot and dense single point that expanded and contracted over the course of the following 13.7 billion years, first at incomprehensible speeds and then at a more palpable rate, to the still-expanding cosmos that we know today.

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Yes, and the colors you see will now be the colors your eye perceives when you see the wavelengths producing the interference patterns.

In physics, the wavelengths is the length over which a periodic wave repeats or its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda (), which represents wavelength, is frequently used. When describing modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids, the term wavelength is also occasionally used.

Wavelength is inversely related to frequency for a sinusoidal wave flowing at a constant speed.

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The reflected rays of light do not produce visible colored interference fringes in a window because the glass structure of a window pane prevent.

In the case of the window pane, it is true that the light is still reflected on the front and rear surface of the glass. the reflecting medium need to have a thickness that the that is comparable to the wavelength of light. windows are simply too thick. Due to the structure of glass, No Interference. In the case of thin film both reflected rays belong to the same waveform. light striking a film is partially reflected and partially refracted at the top surface. the refracted ray is partially reflected at the bottom.

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The velocity of the freely falling body after the time 2 second is found as  49.6 m/s.

For the given question-

The freely falling body has the speed at an instant as u = 30 m/s.

Acceleration due to gravity g = 9.8 m/s².

After time t = 2 sec, the final velocity v m/s.

Using equation of motion,

v = u + gt

v = 30 + 9.8 x 2

v = 49.6 m/s.

Thus, the velocity of the freely falling body after the time 2 second is found as  49.6 m/s.

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Frequency that the block oscillate with both springs attached is 45 Hz.

Let the spring constants be k₁ and k₂.

When displaced from equilibrium, the magnitude of the net force exerted by the springs is |k₁x + k₂x| acting in a direction so as to return the block to its equilibrium position ( x = 0 ).

Since the acceleration a = d²x / d², Newton’s second law yields,

m( d²x / d² ) = - k₁x - k₂x,

Substituting x = x(m) cos ( ωt + Φ) and simplifying we find

ω² = (k₁ + k₂) / m

where ω is in radians per unit time. Since there are 2π radians in a cycle, and frequency f measures cycles per second, we obtain  

f = ω / 2π = 1 / 2π (√k₁ + k₂ / m)

The single springs each acting alone would produce simple harmonic motions of frequency

f₁ = 1 / 2π √(k₁ / m) = 30 Hz

f₂ = 1 / 2π √(k₂ / m) = 45 Hz

respectively, Comparing these expressions, the frequency will be

f = √(f₁² + f₂²)

f = √(30² + 45²)

f = 45 Hz

Therefore, frequency that the block oscillate with both springs attached is 45 Hz.

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(a) Refer to part (a)

(b) Refer to part (b)

(c) [tex]nr^{n-1}\bold{\hat{r}}[/tex]

To answer the questions, I will show the derivations of each part by applying vector calculus methods such as the gradient operator, denoted by '▽', to the given quantities. I will use the definition of the gradient operator in Cartesian coordinates to solve each part.

Given:

[tex]\bold{r} = (x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}; \ r=\sqrt{ (x-x')^2+(y-y')^2+(z-z')^2}[/tex]

Show that:

(a) [tex]\nabla (r^2)=2 \bold{r}[/tex]

(b)[tex]\nabla (1/r)=- \bold{\hat{r}}/r^2[/tex]

(c) What is the general formula for [tex]\nabla (r^n)[/tex]?

[tex]\hrulefill[/tex]

The gradient operator in Cartesian coordinates is:

[tex]\nabla = \hat{\imath}\dfrac{\partial}{\partial x}+ \hat{k}\dfrac{\partial}{\partial y}+ \hat{\jmath}\dfrac{\partial}{\partial z}[/tex]

The square of the vector length is given by:

[tex]\Longrightarrow r^2 = [(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}]^2\\\\\\\\\Longrightarrow r^2 = (x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}[/tex]

Now, applying the gradient operator to 'r²':

[tex]\Longrightarrow \nabla r^2 = \\\\\bullet \dfrac{\partial}{\partial x}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}]=2(x-x')\\\\\bullet \dfrac{\partial}{\partial y}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}] = 2(y-y')\\\\\bullet\dfrac{\partial}{\partial z}[(x-x')^2\hat{\imath}+ (y-y')^2\hat{\jmath} + (z-z')^2\hat{k}] =2(z-z')\\\\\\\\\therefore \nabla r^2=2(x-x')\hat{\imath}+ 2(y-y')\hat{\jmath} + 2(z-z')\hat{k}\\\\\\\\[/tex]

Factoring out a 2:

[tex]\Longrightarrow \nabla r^2=2[(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}]\\\\\\\\\therefore \boxed{\nabla r^2=2 \bold{r}}[/tex]

[tex]\hrulefill[/tex]

The length 'r' is given by:

[tex]r=\sqrt{ (x-x')^2+(y-y')^2+(z-z')^2}[/tex]

Now applying the gradient operator to 1/r:

[tex]\dfrac{1}{r}=((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}[/tex]

[tex]\nabla \dfrac{1}{r} =\\\\\bullet \dfrac{\partial}{\partial x}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(x-x')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2}\\\\\bullet\dfrac{\partial}{\partial y}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(y-y')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2} \\\\\bullet\dfrac{\partial}{\partial z}[((x-x')^2+(y-y')^2+(z-z')^2)^{-1/2}]=-(z-z')[(x-x')^2+(y-y')^2+(z-z')^2]^{-3/2}[/tex]

[tex]\Longrightarrow \nabla \dfrac{1}{r} = - \dfrac{(x-x')\hat{\imath}+ (y-y')\hat{\jmath} + (z-z')\hat{k}}{[(x-x')^2+ (y-y')^2 + (z-z')^2]^{3/2}}[/tex]

[tex]\Longrightarrow \nabla \dfrac{1}{r} = -\dfrac{\bold{r}}{r^3}; \ \text{Where:} \ \bold{\hat{r}} =\dfrac{\bold{r}}{r} \rightarrow \bold{r}=\bold{\hat{r}}\cdot r \\\\\\\\\Longrightarrow \nabla \dfrac{1}{r} = -\dfrac{ \bold{\hat{r}} \cdot r}{r^3}\\\\\\\\\therefore \boxed{\nabla \dfrac{1}{r} = \dfrac{\bold{-\hat{r}}}{r^2}}[/tex]

[tex]\hrulefill[/tex]

The general formula is as follows:

[tex]\Longrightarrow \nabla(r^n)=\dfrac{\partial}{\partial r}[r^n] \bold{\hat{r}} \\\\\\\\\therefore \boxed{\nabla(r^n)=nr^{n-1}\bold{\hat{r}}}[/tex]

48296.23 Joule is the internal energy of the gas

In thermodynamics, internal energy is a characteristic or state function that characterizes a substance's energy in the absence of capillary effects and the impacts of external magnetic, electric, and other fields.

Given that,

No. of moles = 7.33 moles

temperature = 317 K

diatomic gas

As we know,

U = n × [tex]C_v[/tex]×T

U = internal energy

n =  no. of moles

[tex]C_v[/tex] = specific heat

[tex]C_v[/tex] = (f/2) ×R = (degree of freedom of gas / 2) × R

For a diatomic gas, f = 5

T = temperature

Now, U = (f/2) × R × n ×T

or, U = (5/2) × 8.314 × 7.33 × 317

or, U = 48296.23 Joule.

Thus, 48296.23 Joule is the internal energy of the gas

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the apex half-angle of the cone is  [tex]\frac{V^{2} }{g}[/tex]

Calculation :

Ncosθ = mg   ---1

Nsinθ =[tex]\frac{mv^{2} }{r}[/tex]

divide eqn 1 and 2

tanθ = V²/rg ---3

now tan θ = h/r ---4

fro eqn 3 and 4

h=  [tex]\frac{V^{2} }{g}[/tex]

A cone is a three-dimensional geometric shape that tapers from a flat base (often not necessarily circular) to a point called the vertex or apex.

A cone is formed by a series of line segments, half-lines, or lines that connect a point (vertex) common to all points on the base in a plane that does not contain vertices. Depending on the author, the basis may be restricted to a circle, a one-dimensional square in the plane, a closed his one-dimensional figure, or any of the above plus all enclosed points. A cone is a solid object if the base contains the enclosed points. Otherwise, it is a 2D object in 3D space. For solids, the boundaries formed by these lines or partial lines are called faces. If the sides are unlimited, it is a conical surface.

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a)The capacitive reactance is 680 ohms.

[tex]X_{c}=1/2\pi fC[/tex]

[tex]X_{c}=1/2\pi *30*7.8*10^{-6}[/tex]

[tex]X_{c}=680\\[/tex]

b)The rms current is 0.10 amperes.

[tex]I_{rms}=V_{rms}/X_{c}[/tex]

[tex]I_{rms}=71/680[/tex]

[tex]I_{rms}=0.10A[/tex]

c)The maximum current in the circuit is 0.147 amperes.

[tex]I_{max}=\sqrt{2} *I_{rms}[/tex]

[tex]I_{max}=\sqrt{2} *0.10[/tex]

[tex]I_{max}=0.147A[/tex]

What is capacitive reactance?

The measure of the opposition to alternating current by the capacitor is called Capacitive Reactance. The unit of Capacitive Reactance is Ohms-like resistance. The symbol of Capacitive Reactance is XC

What is the capacitive reactance formula?

Xc = 1/2πfc

XC is the capacitive reactance, π is a constant with the value of 3.14, f is the frequency, and c is the capacitance.

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The following are true in this scenario:

1. If the link speed is 10 Mbps or 100 Mbps, half- duplex is used.

2. If the link speed is 1000 Mbps or faster, full-duplex is used.

3. The switch attempts to sense the link speed. If it can't, the lowest link speed supported on the interface is selected.

Interfaces can work in the following two duplex modes. They are half duplex mode and full duplex mode.

Half- duplex mode: An interface in this mode can send data only when it is not received data and conversely, it can receive data only when it is not sending data. There is a limit on transmission distance in this mode.

Full-duplex mode: An interface in this mode can send and receive data simultaneously. The maximum throughput in full-duplex mode is theoretically double than in half duplex mode. There is no limit on transmission distance in this mode.

You can configure the rate and duplex mode of an Ethernet interface working in either auto-negotiation or non-auto negotiation mode.

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use P*V = n*R*T

==> T = P*V/(n*R)

= 11*1.013*10^5*2*10^-3/(2*8.314)

= 134 k

we know,

v_rms = sqrt(3*k*T/m)

v_rms = sqrt(3*1.38*10^-23*134/(4*1.66*10^-27))

= 914 m/s  

The root-mean square (RMS) velocity is the cost of the square root of the sum of the squares of the stacking speed values divided via the variety of values. The RMS pace is that of a wave via sub-floor layers of different c programming language velocities along a selected ray route.

The rms speed is at once proportional to the square root of temperature and inversely proportional to the rectangular root of molar mass. for this reason quadrupling the temperature of a given gas doubles the rms pace of the molecules.

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[tex]V_{rms} = 914 m/s[/tex]

Use P*V = n*R*T

=> T = P*V/(n*R)

= 11*1.013*10^5*2*10^-3/(2*8.314 )

= 134 k

we know,

[tex]V_{rms} =[/tex] sqrt(3*k*T/m)

[tex]V_{rms} =[/tex] sqrt(3*1.38*10^-23*134/(4 *1.66*1 ^-27))

        = 914 m/s

Helium is a chemical element with symbol He and atomic number.

It is a colorless, odorless, tasteless, non-toxic, inert, monatomic gas and the first gas in the noble gas group of the periodic table.

Its boiling point and melting point are the lowest of all the elements. It is the second lightest and second most abundant element in the observable universe (hydrogen is the lightest and most abundant).

Helium is used as a coolant for the Large Hadron Collider (LHC) and superconducting magnets in MRI scanners and NMR spectrometers. It is also used to cool satellite instruments and is used to cool the liquid oxygen and hydrogen that power the Apollo spacecraft.

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When the input voltage to this circuit is 0.5 v, the output voltage is 3v .

Calculation :

Rf = 10000

R = 2000

Vi = 0.5 v

It is an non inverting amplifier .

Voltage gain

A = v₀/vi =[tex](1+\frac{RF}{R} )[/tex]

v₀ = Vi[tex](1+\frac{RF}{R} )[/tex]

v₀ = 0.5[tex](1+\frac{10000}{2000} )[/tex]

    = 0.5(1+5)

    = 0.5(6)

v₀ = 3v

Stress, also known as pressure, voltage, or (electrical) potential difference, is the potential difference between two points. In an electrostatic field, it corresponds to the work per unit charge required to move the test charge between two points on it.

In the International System of Units, the derived unit of voltage is called the volt. freedom). Older SI definitions of volts used power and current. Quantum Hall and Josephson effects have been used since 1990, and recently (2019) fundamental physical constants were introduced to define all SI units and derived units.

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The ones associated with the fault you observed in the GigaPan image:

When rocks slip through each other in a fault, the upper or overlying blocks along the fault plane are called hanging walls or headwalls. The underlying blocks are called foot walls. Tectonic basins are formed by crustal activity. A dimple is a fold where the originally horizontal layer is folded and the two legs of the fold are folded.

Tectonic activity is the movement of large portions of the Earth's crust called tectonic plates. Crustal activity is the cause of phenomena such as earthquakes and volcanoes. Gneiss is a type of metamorphic rock that forms when the sedimentary or igneous rock is subjected to extreme temperatures and pressures.

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When we see x-rays from an accretion disk in a binary system, we can't immediately tell whether the accretion disk surrounds a neutron star or a black hole. suppose we then observe each of the following phenomena in this system. Intense X-rays bursts would rule out the possibility of a black hole.

This is rotating gas that forms around objects that have a large gravitational force. It can be found around black holes or stars where matter collapses due to gravity to a central object. Accretion disks are structures formed by matter orbiting very large objects. The object is usually a star.

Gravity pulls matter on the disk toward the object it is orbiting. The force of gravity and friction suppresses and raises the temperature of the material to form electromagnetic radiation. The frequency of the radiation depends on the mass of the object being surrounded.

The accretion disks of young stars and protostars form the infrared; The disk surrounding the neutron star and black hole forms X-rays. Research on accretion disks is called discoseismology.

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Answer:

college money

Explanation:

The magnitude of impulse acting directly upwards during the slap is -0.00273 N.s.

The magnitude of the impulse that is downward on the lizard due to the gravitational force is 0.375 kg.m/s.

Given that, mass of the basilisk lizard = 90 g = 90/1000 kg = 0.09 kg

Mass of each foot = 2.53 g = 0.00253 kg

Vf = 0

Vi = 1.08 m/s

Time taken for a single step is 0.417 s

I = Δp = Mf * (Vf - Vi ) = 0.00253* (0 - 1.08) = -0.00273 N.s

On each step, the basilisk lizard must provide an upward force that counters its weight which is equal to W= mg.

We know the formula for impulse acting downwards is, I = F Δt

It can also be written as I = W Δt = Ml* g Δt

Substituting the values in the above formula,

Ml*g Δt = 0.09* 10* 0.417 = 0.375 kgm/s

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Part A

The combination of 5 P orbital is :

n=5,l=1,ml=−1,ms=+[tex]\frac{1}{2}[/tex]

Part B

n = 6

l = 2

m​​​​​​l = 2 or 1 or 0 or -1 or -2

m​​​​​​s = +1/2  or -1/2

A total of four quantum numbers are used to fully describe the motion and orbit of each electron in an atom. The combination of all quantum numbers of all electrons in an atom is described by a wavefunction corresponding to the Schrödinger equation. Each electron in an atom has a unique set of quantum numbers. According to the Pauli exclusion principle, no two electrons can have the same combination of four quantum numbers. Quantum numbers are important because they can be used to determine the electron configuration of atoms and the putative positions of electrons in atoms. Quantum numbers are also used to understand other properties of atoms such as: B. Ionization energy and atomic radius.

Atoms have four quantum numbers. They are the principal quantum number (n), the orbital angular momentum quantum number (l), the magnetic quantum number (ml), and the electron spin quantum number (ms). The principal quantum number n describes the energy of an electron and its most probable distance from the nucleus. In other words, it refers to the size and energy level of the orbital in which the electron is placed. The number of subshells or l describes the shape of the orbitals. It can also be used to determine the number of angular nodes. The magnetic quantum number ml represents the energy level in the subshell and ms represents the electron spin. This is either upwards or downwards.

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9.86*1015 HZ, 2.65*10-11 m, and 40.8 eV of energy were released during the transition from phase 2 to phase 1. In accordance with the hydrogen atom's Bohr model.

A hydrogen atom is an atom belonging to the element hydrogen in chemistry. One positively charged proton and one negatively charged electron are both present in the electrically neutral atom and are held to the nucleus by the Coulomb force.

The energy released during the change from 2 to 1 is given by

E = Eo(1/n^2 - 1/na^2) (2)2(-13.6)(1/2^2-1) = 40.8eV

The frequency is calculated as follows:

f = E/h f = 9.86*1015 HZ

rn = Ao*n2/Z = (5.29*10-11)(1)/2 = 2.65*10-11m is the orbit's radius.

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Heteroatoms make a difference in the physical and chemical properties of an organic molecule because they substitute extra mass in an organic molecule

• Each heteroatom has its own characteristic chemistry. They substitute extra mass for the hydrocarbon structure. They increase the polarity of the organic molecule.

• Heteroatoms have an intense effect on the reactivity of organic molecules. Hydrocarbons have only a limited range of reactions, and so organic chemistry is often defined as the chemistry of carbon, it is the other elements that make it interesting.

• They are also classified as diatomic, triatomic, or polyatomic molecules depending on the number of atoms present. H2O, NH3, CH4, etc. are examples of heteroatomic molecules.

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The x and y components of the sum of these two vectors are -1 unit and 4 unit respectively.

In physics, a vector is a quantity with both a magnitude and a direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.

Given that the two vectors A and B have components (0, 1) and (-1, 3), respectively.

Hence,

The x component of the sum of these two vectors is = 0+ (-1)unit  = -1 unit.

the y component of the sum of these two vectors is = 1 + 3 unit  = 4 unit.

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Mechanical energy is the energy that machines use to do work and levers are a machine that increases force sleever that increases speed.

There are two types of hydroelectric power projects is conventional and pumped storage. In a conventional hydroelectric facility, water passes from the intake and out the outflow one time.

In a pumped storage facility, water may pass through the turbine multiple times. The operation of a hydropower project, like any power plant, may generate solid and industrial wastes.

Hydroelectric power generation decommissioning includes waste management of any reservoir sediments, especially where power plant placement is downstream from significant industrial or natural environmental hazard sources.

In Hydroelectric power generation, kinetic energy of the water is converted into the mechanical energy of the turbine which further converted into the electrical energy.

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Energy is transferred by a sound wave between particles, when sound waves get closer then frequency of wave is high.

Pulses caused by brief disturbances of the medium Wavepackets: like harmonic waves, but with finite extent. We usually focus on harmonic waves that extend forever. They are useful because they have simple math, and accurately describe a lot of wave behavior.

A harmonic wave moving in the positive x direction can be described by the equation y(x,t) = A cos(kx - wt).

Sound waves or electromagnetic waves that are created from a point source are spherical waves, i.e., they move radially from the source in all directions. These waves can be represented by circular arcs. These arcs are surfaces of constant phase (e.g., crests)

In general for spherical waves the intensity will fall off as 1/r2 i.e., the amplitude falls off as 1/r. We have all sorts of waveforms, but thanks to superposition, if we find a nice simple set of solutions, easy to analyze, we can write the more complicated solutions as superpositions of the simple ones.

It is a mathematical fact that any reasonable waveform can be represented as a superposition of harmonic waves. This is Fourier analysis, which many of you will learn for other applications.

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The term which is called as mechanical weathering always refers to the changes in a rock which are physical and there is no or very little chemical change. So, it's True.

Mechanical weathering (additionally known as bodily weathering) breaks rock into smaller portions. These smaller portions are similar to the larger rock, simply smaller. That means the rock has modified bodily with out converting its composition. Mechanical weathering is likewise called bodily weathering. In this kind of weathering, a huge rock is disintegrated into smaller portions of rocks.

When rocks crumble or split with out experiencing any alternate of their chemical composition, it's far called mechanical weathering. The assertion approximately mechanical weathering that isn't genuine is includes a chief alternate withinside the mineral composition of the weathered material. Mechanical weathering breaks rocks down into smaller fragments, and will increase the floor location of the over all material. By growing the floor location, chemical strategies may also act extra without problems upon the rock floor.

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The speed of the wave is 0m/s.

What is speed?

The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

we can see that k = 0.9

wavelength = 2pi/k = 2pi/0.9=6.98

w = 900

f = w/2pi=900/2pi=143.2

v = w/k = 900/0.9=1000 m/s

If you look at the expression you must see a wave.

y = sin(0.3.x)

the wavelength 0.3.x = 2.pi gives x = 20.9 m

the frequency of the wave is the number of times the wave makes a full cycle per second. So every time 300.t = 2.pi makes a cycle. gives t = 2.pi/300 = 0.021

the frequency = 1/t = 47.8 sec^(-1) or 47.8 Hz

As it is a standing wave the speed is 0.

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The specific gravity of the liquid is 0.85

The specific gravity of a liquid is the relative weight of that liquid compared to an equal volume of water. It can also be called relationship density. Specific gravity has no unit

Therefore specific gravity of a liquid = weight of the liquid/ weight of water OR mass of the liquid / mass of water.

Mass of water = 98.44-35.00 = 63.44g

mass of the liquid = 89.22-35.00 = 54.22

Therefore the specific gravity of the liquid = 54.22/63.44= 0.85

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With the use of formula, the magnitude of the observed frequency will be 463.3 Hz

Doppler effect is the change in frequency of a sound as you move toward or away from the source of the sound.

Given that a friend of yours is loudly singing a single note at 500 Hz while racing toward you at 27.2 m/s on a day when the speed of sound is 343 m/s.

The parameters are;

The frequency you hear can be calculated by using the formula below.

Fo = Fc/(c + v)

Fo = (500 × 343) / (343 + 27.2)

Fo = 171500/370.2

Fo = 463.3 Hz

Therefore, the frequency at which you hear will be 463.3 Hz

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Answer: When the light hits the water, it causes the light to slow down, and when it does this, the light changes directions.

Explanation:

In recent years, gelified acetate-based water-in-salt electrolyte stabilising hexacyanoferrate cathode for aqueous potassium-ion batteries has gained popularity.

Here, water activity in "Water-in-salt" electrolytes (WiSE) based on potassium acetate (KAc) is investigated using Raman and classical molecular dynamics (MD), demonstrating the significantly reduced water activity of these WiSEs because water can be efficiently coordinated by both the acetate anion and the potassium cation. It is discovered that the overall molecular arrangement resembles the "sponge-like" shape seen in several ionic liquids. According to comprehensive electrochemical, scanning electronic microscopy (SEM), and X-ray photoelectron spectroscopy (XPS) study, such WiSE can also be compatible with Al current collectors with appropriately adjusted composition. However, due to the limited stability of the cathode material in the alkaline environment, the use of inexpensive potassium manganese hexacyanoferrate (KMHCF) in combination with these electrolytes is hampered by poor cycling performance.

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The angular acceleration is 0.19 and the number of turns is 41.07 revolutions.

m = 87 kg be the mass of the grindstone,

r = 0.35 m be the radius of the grindstone,

I = mr²/2 be the grindstone's moment of inertia,

ω = 95 revolution/min = 95 2π/60s = 9.9 s-1 be initial angular velocity,

F = 15 N be the force pressing radially,

f = 0.2 be the coefficient of friction,

α (unknown) be the grindstones angular acceleration.

a)The tangential force slowing the grindstone is

fF

Its torque is

rfF

By Newton's Second Law

rfF = Iα

Therefore

α = rfF/I = 2rfF/mr² = 2fF/mr

Substituting actual numbers

α = 2×0.2×15/(87×0.35) = 0.19 s-2

Note that the above is the absolute value of the acceleration.

Depending on which direction is considered positive or negative,

the answer may need to be negated.

b)

Let

t be the time it takes the grindstone to come to rest,

θ be the total angle by which the grindstone will turn before coming to rest.We have the following identities, which follow from the definition of acceleration:

ω = αt

θ = αt²/2

From the first

t = ω/α

Plug into the second

θ = α(ω/α)²/2 = ω²/2α

Substitute actual numbers

θ = 9.9²/2×0.19 = 257.92

The above result is in radians.

Since the result is supposed to be given in revolutions,

we need to divide by the number of radians per revolutions:

257.92/2π = 41.07 revolutions

Therefore, the angular acceleration is 0.19 and the number of turns is 41.07 revolutions.

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