why do most alpha particles fired through a piece of gold foil emerge almost undeflected, and why do others bounce backward?

Answer:

I don't know what your on about because l am 10

The potential energy of the object when it is at the surface of the Earth is -3.53 x 10^14 J

What is potential energy?
Potential energy in physics is the energy that an object retains as a result of its position in relation to other objects, internal stresses, electric charge, or even other elements. The gravitational potential of an object, this same elastic potential energy of a stretched spring, as well as the electric potential power of the an electric charge inside an electric field are examples of common types of potential energy. The joule, denoted by the letter J, is the energy unit inside the International System of Units (SI). Although it has connections to the Greek philosopher Aristotle's idea of potentiality, the term "potential energy" was coined by the Scottish engineer as well as physicist William Rankine in the 19th century.

(a) The potential energy of the object when it is at the surface of the Earth is equal to the gravitational potential energy, which is calculated by the equation:
PE = -GmM/r
Where G is the gravitational constant (6.67 x 10^-11 m^3 kg^-1 s^-2), m is the mass of the object (100 kg), M is the mass of the Earth (5.98 x 10^24 kg) and r is the distance between the object and the center of the Earth (6.37 x 10^6 m).
Therefore, the potential energy of the object when it is at the surface of the Earth is:
PE = -GmM/r = -6.67 x 10^-11 x 100 x 5.98 x 10^24 / 6.37 x 10^6 = -3.53 x 10^14 J

(b) The potential energy of the object when it is at a height above the Earth's surface equal to the Earth's radius is calculated by the same equation as above, but with a different value for r. Since the height is equal to the Earth's radius, the distance between the object and the Earth's center is doubled and the potential energy is equal to:
PE = -GmM/r = -6.67 x 10^-11 x 100 x 5.98 x 10^24 / (2 x 6.37 x 10^6) = -1.76 x 10^14 J

(c) The escape speed for a body projected from this height is calculated by the equation:
v_esc = sqrt(2GM/r)
Where G is the gravitational constant (6.67 x 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (5.98 x 10^24 kg) and r is the distance between the object and the Earth's center (2 x 6.37 x 10^6 m).
Therefore, the escape speed for a body projected from this height is:
v_esc = sqrt(2GM/r) = sqrt(2 x 6.67 x 10^-11 x 5.98 x 10^24 / (2 x 6.37 x 10^6)) = 11.2 km/s

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The steady-state flux and current at every location in the medium are given by Ф ≅( S(2^1/2)/π*d)* e^-a/(2)^1/2*L. Since there are isotropic sources that are equally distributed and emit s neutrons per cm3/s

According to Fick's first law, which stipulates that diffusion flow is proportional to concentration gradient, steady-state flux diffusion processes are identified by this property. Diffusion coefficient or diffusivity are other names for the proportionality constant, D. It is expressed in m2/sec. J x can be used to represent the one-dimensional case for steady-state flux. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow.

Ф ≅( S/4*π*d)* e^(r/l)/r

Ф ≅( S/4*π*d)* e^-a/(2)^1/2*L

Ф ≅( S(2^1/2)/π*d)* e^-a/(2)^1/2*L

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The central angle relating to an object's position on a circle changes as it moves along a circular path.The rate at which this angle changes with respect to time is known as the angular velocity, denoted by the symbol w.

A Ferris wheel, for instance, might rotate pi / 6 radians every minute.

If a disk of indefinite radius is rotated at an angular velocity $w$ in a large volume of liquid, the liquid will experience a force known as the centrifugal force.

This force is directed radially outward from the axis of rotation and is given by the equation $F = mrw^2$, where $m$ is the mass of the liquid, $r$ is the distance from the axis of rotation, and $w$ is the angular velocity.

The magnitude of the force increases with the mass of the liquid, the distance from the axis of rotation, and the angular velocity of the disk.

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Tall narrow, tapered, short fat is correct answer.

What is Glass?

Glass is a transparent, solid-like material that is used in a variety of everyday items. The three naturally occurring primary raw materials needed to produce glass are sand, soda ash, and limestone. To make glass, these materials are melted at very high temperatures. At low temperatures, glass behaves like a solid, but at high temperatures it has a structure similar to that of a liquid. In order to create a wide range of shapes, glass can be poured, blown, pressed, and moulded.

A lengthy history of glass manufacture dates back to around 3500 BC, when it is believed that glass was first artificially created in Egypt and Mesopotamia for use as jewellery and then as vessels.

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Distance equals 1/2(a) (t) 2. How far an object will go in 3 seconds if it accelerates forward at a speed of 8.3 m/s/s from rest: Distance = 1/2(8.3)(52), Distance = 103.75m.

What does the word "accelerates" mean?

To accelerate one's movement; to gather up speed. The car started to speed up gradually. Recently, the pace of change has accelerated, making it necessary to follow a fast educational curriculum and go through the grades more quickly than is typical. verb in motion

Does "moving" imply "accelerating"?

Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by speeding up your acceleration or by reversing your acceleration. Because velocity consists of both a speed and a direction, this is the case.

Briefing:

Distance = 1/2(a)(t)^2

Distance = 1/2(8.3)(5^2)

Distance = 103.75m

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Diffused lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object.

Light that has been filtered by something is known as diffused light or soft light. Diffused sunlight passes through a sheer curtain. Compared to the direct light of a bare bulb, the light that comes from behind a lampshade is diluted. The light is softened and dispersed by the lampshade. Golden hour, for instance, has softer sunlight because the sun is at an angle and the surrounding environment works as a diffuser.

Similar to this, a diffusion sheet can be used to filter the harsh light from the sun or another light source to create a soft, uniform glow that complements any time of day.

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The highest kinetic energy occurs at the points A and G. The highest potential energy occurs at point D.

We know that kinetic energy has to do with energy that is in motion. On the other hand the potential energy is the energy that is at a point. Both the kinetic energy and the potential energy are all the kinds of mechanical energy.

We have to look at the points where the object would have the highest velocity and these are the points where the kinetic energy of the body is maximum and this would occur at the points A and G. The points where the body has a maximum potential energy is the highest point and this at point  D.

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The force f must be applied at the right end for the beam to not rotate is

F = 475 N.

Solution:

1.2f = 980 x 0.5 + 320x 0.25

F = 475 N.

Theoretically, when two or more parallel forces are applied to a horizontal beam the beam can be balanced by applying one force equal and opposite to the resulting R. increase. The balance of downward forces must be equal and opposite to their resultant force.

Torque is a measure of the force that rotates an object about an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is the rotational equivalent of force. Therefore, the net torque causes the object to rotate with angular acceleration.

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A) The energy in electron volts for a particle with this wavelength if the particle is a photon is; .E = 4969.5 eV or 4.9695 Kev

B) B) If a particle with this wavelength is an electron, its energy in electron volts is E = 23.58 eV.

C) E = 0.003306 eV

A) The formula for the energy here is;

E = hc/λ

where;

h is Planck's constant

= 6.626 × 10⁻³⁴ J.s

c is speed of light

= 3 × 10⁸ m/s

wavelength is equal to 0.25 nm (0.25 x 109 m).

Thus;

E = (6.626 × 10⁻³⁴ × 3 × 10⁸)/(0.25 x 10⁻⁹)

79.512 × 10⁻¹⁷ J

converting to eV gives;

E = (79.512 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)

E = 4969.5 eV or 4.9695 keV

B) Formula for the energy if the particle is an electron is;

E = h²/(2mλ²)

where m = 9.31 × 10⁻³¹ kg

E = (6.626 × 10⁻³⁴)²/(2 × 9.31 × 10⁻³¹ × (0.25 x 10⁻⁹)²)

E = 37.726 × 10⁻¹⁹ J

Converting to eV gives;

E = (37.726 × 10⁻¹⁹)/(1.6 × 10⁻¹⁹)

E = 23.58 eV

C) Mass of alpha particle is; m = 6.64 × 10⁻²⁷ kg

E = h²/(2mλ²)

where m = 6.64 × 10⁻²⁷ kg

E = (6.626 × 10⁻³⁴)²/(2 × 6.64 × 10⁻²⁷ × (0.25 x 10⁻⁹)²)

E = 52.896 × 10⁻²³ J

Converting to eV gives;

E = (52.896 × 10⁻²³)/(1.6 × 10⁻¹⁹)

E = 0.003306 eV

The complete question is : For crystal diffraction experiments, wavelengths on the order of 0.25 nm are often appropriate.

A) Find the energy in electron volts for a particle with this wavelength if the particle is a photon.

B) Find the energy in electron volts for a particle with this wavelength if the particle is an electron.

C) Find the energy in electron volts for a particle with this wavelength if the particle is an alpha particle (m=6.64×10−27kg).

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Movement that will result in the largest increase in potential energy : All the movements will result in the same change in potential energy because they each move a roller coaster car for the same distance.

Since they move in the same direction, therefore share the same magnetic qualities and move one unit identically.

The potential energy increases because train moves against the magnetic force and potential energy does not change because the magnets in the system do not change. Engineer is experimenting with two identical magnetic roller coaster cars on the different sides of a center magnet that cannot move.

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The magnetic field at a distance of 4 cm from the wire is B'=2 μT.

What is magnetic field?

The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.

Given that

Distance ,d= 2 cm

magnetic field ,B=  4 μT

we know that magnetic filed at a distance d is given as

[tex]B=\frac{\mu I}{2 \pi d}----1[/tex]

I=Current

When the distance become 4 cm

d' = 4 cm

d'= 2 d

[tex]$$\begin{aligned}B^{\prime} & =\frac{\mu I}{2 \pi d^{\prime}} \\B^{\prime} & =\frac{\mu I}{2 \pi \times 2 d}--2\end{aligned}$$From equation 1 and 2$$\begin{aligned}& \frac{B^{\prime}}{B}=\frac{\frac{\mu I}{2 \pi \times 2 d}}{\frac{\mu I}{2 \pi \times d}} \\& B^{\prime}=\frac{B}{2} \\& B^{\prime}=\frac{4 \mu}{2} T\end{aligned}$$[/tex]

B'=2 μT

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In reality, a bowling ball travelling down a lane toward bowling pins will be least affected by magnetic force.

What is force ?

In terms of a physical action or movement, force is essentially a push or pull that acts on an item or energy. When two things come into contact, it occurs. Additionally, a body is in motion when it is moving.

Electromagnetic force is a result of charge motion, which also produces magnetic force. When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron.

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Due to inertia, passengers on a bus often slide backward when it suddenly starts to move.

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed.

A feature of matter known as inertia is the ability to maintain either a state of rest or uniform motion in a straight line without the assistance of an external force. A body's inertia is a quality that prevents it from changing its state of motion or rest.

A body at rest or travelling in a straight line at a constant speed will continue to do so unless it is acted upon by a force, according to the law of inertia, often known as Newton's first law, a physics postulate.

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The moment of inertia of wheel a will be twice the moment of inertia of wheel b. This is because the moment of inertia is proportional to the mass of an object.

What is inertia?

The concept of inertia states that an object will maintain its current motion until a force changes its speed or direction. The phrase should be understood as a shortened form of Newton's first law of motion's description of "the principle of inertia." Newton's Latin is directly translated into the word "perseveres" in this sentence. In contemporary textbooks, other, softer words like "to continue" as well as "to remain" are frequently used. The modern application results from some modifications made by Euler, d'Alembert, as well as other Cartesians to Newton's original mechanics (as noted in the Principia).

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the statement is True

Oscillations cause disturbances in the medium, and these disturbances, are known as waves and, they propagate or move from one place to another.

There are several types of waves:

mechanical waves are those that propagate through a material medium.

electromagnetic waves are those waves that travel without a physical medium.

A wave moves at a certain speed based on the kind of medium it propagates through.

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According to Moran, the evidence points to pleiotrophy and energy savings as two key factors in the cavefish eye loss.

Mexicanus was created through natural selection, pleiotropy, and genetic drift, not through human initiative. Organisms get what they need via natural selection. The fish must conserve energy to avoid going blind. Fish lose their eyes because they are unnecessary.

The Mexican tetra (Astyanax mexicanus) has been evolving in caves for the last few million years in forms that are blind. The loss of eyes is a major benefit for creatures living in the dark since maintaining eyes and the visual regions of the brain requires a lot of energy. The cavefish instead "sees" by sucking.

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During a protostar's T Tauri phase, it may develop very strong winds.

The prostate is placed just underneath the bladder and in front of the rectum. it is about the size of a walnut and surrounds the urethra (the tube that empties urine from the bladder). It produces fluid that makes up part of semen. As a person has a long time, the prostate tends to increase in size.

Acute prostatitis is generally triggered when bacteria within the urinary tract enter the prostate. The urinary tract includes the bladder, kidneys, the tubes that join the kidneys to the bladder (ureters), and the urethra.

The prostate performs an essential function in male fertility and intercourse existence. although men can survive without a prostate, unfortunately, for lots of men, prostate elimination outcomes in terrible nice of existence, issues like erectile dysfunction, and more.

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As stated in the preceding statement The galaxy's core has a very modest number of stars.

Countless stars, solar systems, gasses, and dust make up a galaxy. Gravity binds a galaxy together. Additionally, the Milky Way, the galactic core of our galaxy, has a supermassive black hole. As you scan the stars at night for stars, you notice more stars within the Milky Way.

The original estimate of the number of galaxies was revised in 2021 to around 200 billion galaxies (21011). The majority of galaxies are 1,000 to 100,000 parsecs in diameter (roughly 3,000 to 300,000 light years), and are separated by distances on the order of billions of light years.

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The method used by engineers to pierce rock at angles other than just a straight line is known as directional drilling.

What is method?
A procedure connected to a message and an object is referred to as a method throughout object-oriented programming (OOP). An object is made up of state information and behaviour, which together make up the interface that outlines how any of the object's various consumers may use it. A method is indeed a consumer-parametrized behaviour of an object. Behaviors have been represented as methods, while data is represented as an object's properties. For instance, a Window object may have properties like open and close as well as methods like open and close, and its state (whether it is opened or closed at any given time) would be a method.

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The work done by friction on the ball before it transitions to rolling without slipping is 7.04 J.

The final velocity of the bowling ball is calculated by applying the principle of conservation of angular momentum as follows;

Li = Lf

mv₁r = mv₂r + Iω

where;

mv₁r = mv₂r + (²/₅mr²)ω

mv₁r = mv₂r + (²/₅mr²)(v₂/r)

mv₁r = mv₂r + (²/₅mr)(v₂)

r(mv₁) = r(mv₂ + ²/₅mv₂)

mv₁ = mv₂ + ²/₅mv₂

v₁ = v₂ + ²/₅v₂

v₁ = 7v₂/5

7v₂ = 5v₁

v₂ = 5v₁/7

v₂ = (5 x 2.35 m/s)/7

v₂ = 1.678 m/s

The work done by friction on the ball before it transitions to rolling without slipping is calculated as follows;

work done by friction = change in kinetic energy of ball

ΔK.E = ¹/₂m(v₂² - v₁²)

ΔK.E = ¹/₂ x 5.2(1.678² - 2.35²)

ΔK.E = -7.04 J

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Answer:

-7.03266 N

Explanation:

Work = Final kinetic energy - initial kinetic energy

[tex]W_{nc} = K_{f} - K_{i}[/tex]

Finding initial kinetic energy:

[tex]K_{i}=\frac{1}{2}mv^{2}= \frac{1}{2}(5.2)(2.35)^{2}=14.3585\\[/tex]

Finding final kinetic energy:

We have mass, but don't have final velocity. Have to find [tex]v_{f}[/tex] next.

We can use the kinematics equation combined with the fωorce equation. The force that slow the ball down is friction force. [tex]v_{f}=v_{0}+at=v_{0}+\frac{F}{m}t=v_{0}-\frac{f}{m}t[/tex]

Finding f/m

f=μmg ⇒ (f/m)=μg=0.211(9.81)=2.06991

Plug that back into the equation

[tex]v_{f}=2.35-2.06991t[/tex]

Now to find time, we can use angular velocity

τ=fR and α=τ/I and [tex]I=\frac{2}{5}MR^{2}[/tex], so [tex]\alpha =\frac{fR}{\frac{2}{5} MR^{2}}=\frac{5ug}{2R}[/tex]

ω=αt=(5μg)(t)/(2R)=5.174775(t/R)

v=rω=5.174775t

Therefore, [tex]v_{f}=2.35-2.06991t=5.174775t[/tex]

t=0.32437

Plug time back into the v_f equation.

[tex]v_{f}=2.35-2.06991(0.32437)=1.67858[/tex]

Plug v_f back into the K_f equation

[tex]K_{f}=\frac{1}{2}mv^{2}= \frac{1}{2}(5.2)(1.67858)^{2}=7.32584[/tex]

Work done by friction

[tex]W_{nc} = K_{f} - K_{i}=7.32584-14.3585=-7.03266[/tex]

The observation that the geometry of the universe looks flat (not curved) to us is inflation increased the size of the universe so much that the resulting universe looks flat from any point of view

It is presently thought that the cause of the discovery is that space itself is expanding, and that it expanded very rapidly in the first fraction of a second following the Big Bang, based on a significant amount of experimental observation and theoretical work.

The cosmos initially expanded faster than the speed of light (light's speed restriction only applies to objects within the universe). Its early chaos was smoothed out as a result, and it also meant that distant portions that are today far apart were once in close proximity and could exchange heat.

And it undoubtedly did. That was in the first nanosecond of the universe's existence, during the era of inflation.

The complete question is : How does a period of extremely fast inflation very early in the history of the universe explain the observation that the geometry of the universe looks flat (not curved) to us?

a. during inflation a lot of the mass drained out of the universe, leaving its gravity much weaker

b. inflation increased the size of the universe so much that the resulting universe looks flat from any point of view

c. inflation led to the production of so much dark matter that the universe got pulled into the shape of a black hole

d. inflation caused the temperature of different parts of the universe that can't see each other still be the same

e. The universe is actually highly curved and not flat

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The power dissipated by the 6 Ω resistor is: 36 W

What is resistor?
A resistor is a two-terminal passive electrical component used in circuits to implement electrical resistance. Resistors have a variety of uses in electronic circuits, including lowering current flow, adjusting signal levels, dividing voltages, biassing active components, and terminating transmission lines. High-power resistors that really can generate many watts of heat instead of electrical energy can be used as test loads for generators, power distribution systems, and motor controls. With temperature, time, or operating voltage changes, fixed resistors' resistances only slightly fluctuate. Resistors are widely used in electronic equipment and are common components of electrical circuits and networks.

The power dissipated by the 6 Ω resistor is:
P = (36 V)2 / (6 Ω + 12 Ω) = 36 W

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The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.

Constructive and destructive interference:

For interference, the waves must be coherent.

Two coherent waves interfere constructively when the path difference is equal to an integral multiple of the wavelength.

That is the path difference must be mλ

where m = 0,1,2,3.... is an integer and λ is the wavelength

So pair BCEG interfere constructively

Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.

That is the path difference must be (m+1/2)λ

where m = 0,1,2,3....   is an integer and λ is the wavelength

Therefore, the interference is in the pair ADF which is interfere destructively.

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[NOTE: THE COMPLETE QUESTION IS:

Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.]

The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.

From the question, we have

When the path difference is equal to an integral multiple of the wavelength, two coherent waves interact positively.

That is the path difference must be mλ

where m = 0,1,2,3.... is an integer and λ is the wavelength

Hence, the pair BCEG interfere constructively

Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.

That is the path difference must be (m+1/2)λ

where m = 0,1,2,3....   is an integer and λ is the wavelength

Hence, the pair ADF interfere destructively

Interference:

Interference is what happens when two or more waves meet each other. Depending on how the peaks and troughs of the overlapping waves line up, they may add up or may partially or completely cancel one another. According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.

Complete question:

Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively

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When a rigid item rotates along a fixed axis, the following occurs:

They are all moving at the same angular speed.

They are all moving at the same angular velocity.

When a rigid item rotates along a fixed axis, the following occurs:

They are all moving at the same angular speed.

They are all moving at the same angular velocity.

When a rigid item rotates along a fixed axis, all of its angular speeds are the same.

All of the particles in the rotating object have the same angular speed.

They are all moving at the same angular velocity.

All of the particles in the rotating object have the same angular acceleration.

All of this stems from the following relationships:

v=wR

a = alpha*R

where w is the angular velocity and alpha is the angular acceleration.

tangential velocity and acceleration depend on the distance from the axis, whereas angular velocity and acceleration are the same for all the points on the rotating body.

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The natural forces that mold the planet's surface are geological processes. These processes take place over millions of years and thousands of kilometers at enormous scales.

Impact Catering

Impact Catering mainly took place during the intense bombardment. It is comparable ways across all solid worlds.

Volcanism

Volcanism fashioned the silky lunar maria. eliminated almost all of Io's craters. responsible for the waters and atmosphere on Earth.

Tectonics

This geological process concerns the motion of plates on Earth. This

includes the compression of the surface that creates mountains.

Erosion

Features sculpted by wind are included in erosion.

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The four dimensions are volume, diversity, velocity, and truth, according to IBM data experts.

D is the ideal choice.

volume, variety, speed, and reliability

Big data is divided into four aspects by IBM data scientists: quantity, diversity, speed, and truthfulness. This infographic describes each and provides examples.

Volume, the first of the five "V's" of big data, refers to the total amount of data. Volume is similar to the foundation of big data because it represents the initial size and volume of data that is gathered. Big data can be used to describe data that is sufficiently enormous in volume.

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The metal that has the lowest melting point must be the metal that has the lowest density and therefore is easiest to bend. That is metal B.

The melting point of the metal depends upon the types of bonds between the metal atoms. The relationship between the melting point of a substance and the strength of the intermolecular force of that substance is directly proportional. That means that the stronger the intermolecular forces of the substance, the higher the melting point of the substance.

Tungsten has the highest melting point of any metal in the periodic table is 3422 °C.

As the strength of the intermolecular forces increases, more energy is needed to disrupt the attraction between these molecules. As a result, increasing intermolecular forces results in a concomitant increase in melting point.

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The board's instantaneous angular acceleration is 1.225 rad/sec, with the first rope's tension being 681.1 N and the second rope's tension being 240.1 N.

A force along a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. The equivalent of linear acceleration in rotation is called angular acceleration. Angular acceleration is the rate of change of angular velocity, whereas linear acceleration describes the rate of change of linear velocity.

T2*12 - 90g*3 - 4g*6 =0

T2 = 240.1N for the Second Rope's Tension

T1+T2 = 921.2

T1 = 681.1N for the first rope's tension

The board's instantaneous angular acceleration is given by T = I(alpha), which is equal to T = 4(12)^2/3 6*9.8*3/144 = alpha.

The board's instantaneous angular acceleration is equal to 1.225 rad/sec.

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Answer: The mass when it returns to equilibrium position V=d√(k/m)

Reason:

The mass of the spring is set into simple harmonic motion at the equilibrium position A mass attached to a spring is free to oscillate, with angular velocity ω, in a horizontal plane without friction or damping. It is pulled to a distance X0 and pushed towards the centre with a velocity V0 at time t = 0.

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