Calculate the increase in length of a 40 cm brass rod that is heated from 30 ° C to 50 ° C ( linear expansion of Brass is 1.9 x 10³8¹¹ )
a. 0.015 cm b.0.051 cm c.1.9 cm d. 15.20 cm

After the collision, the ball of mass m rebounds to the left with velocity v.

9/4mv² is the loss of kinetic energy in the collision.

What is collision?

When two bodies such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when connected, or a falling object and a floor abruptly and violently collide, this is referred to as a collision, also known as an impact.

What is kinetic energy?

The energy of motion, or kinetic energy, can be observed in the movement of an item or a subatomic particle. Every moving object and individual particle contains kinetic energy. When something moves, like when a person walks, a baseball flies, a piece of food falls off a table, or a charged particle moves in an electric field, it is exhibiting kinetic energy.

initials : m 1 =m ,m 2=2m,u1=2v,u 2 =−v

after collision: v 1 =−v

using conservation of linear momentum:

m1u1+m2u2=m1v1+m2v2

2mv−2mv=−mv+2mv2

v2 = V/2

Initial kinetic energy=m1 u²₁/2+ m2 u²₂/2= 3mv²

Initial kinetic energy=m1 v²₁/2+m2 v²₂/2 = 3/4 mv²

loss in Kinetic Energy=InitialKE−FinalKE

9/4mv²/2 = 3/2mv²

Therefore, collision, the ball of mass m rebounds to the left with velocity v. 9/4mv² is the loss of kinetic energy in the collision.

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Below are several statements. Since scientific law is a statement of the results of the relationship between facts and usually uses a formula or mathematical equation, the statement that is best classified as the law is

a. When a gas rises in temperature, we believe that it is due to the increased motion of the molecules.

d. Force equals mass times acceleration.

f. With all other conditions remaining stable, we observe that as the pressure of a gas increases, the temperature also rises.

g. Likewise, when the temperature rises, the pressure rises.

A scientific law is a statement in the world of science that starts from a hypothesis and is proven by experiments involving theoretical hypotheses. Experimental results can support the hypothesis theory and can prove its truth. Usually, this is reinforced by mathematic formulas. Historically, the laws of science have been inspired by scientific experiments and created on the basis of critical thinking or by some chance circumstances.

While a scientific theory is a concept or construction that is related to one another, with an emphasis on boundaries, and systematic prepositions, and carried out based on the presence of symptoms. Because the existing symptoms can be used to determine the relationship between one variable and another, according to the expected goals.

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The ratio of the gravitational force to the electric force between two particles is determined by their respective charges and masses.

Gravitational force is a universal force of attraction that acts between all objects that have mass. It is the weakest of the four fundamental forces of nature, however it has the most far-reaching effects, as it is responsible for keeping planets in orbit around stars and for holding galaxies together. Gravitational force arises from an interaction between two bodies due to their masses.

The gravitational force between two particles is proportional to their masses and inversely proportional to the square of the distance that separates them.

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The charge on cylinder (a) with the given uniform density is calculated to be 0.16366 m².

The charge on cylinder (b) with uniform density on curved lateral surface only is calculated to be 0.1499 m².

The charge on cylinder (c) with the given uniform density is calculated to be 0.049 nc.

Radius of the cylinder = 2.45 cm = 0.0245 m

Length = 6.36 cm = 0.0636 m

Charge density λ = 15.3 nC/m²

Surface area of the cylinder = 2π r L + 2π r² = 2π × 0.0245 × 0.0636 + 2π × 0.0245 m² = 0.0098 + 0.15386 m² = 0.16366 m²

To find the charge, we know the relation as, Q = λ A = 15.3 × 0.16366 =  2.51 nc.

The charge on cylinder (b) with uniform density on curved lateral surface is

Here, A = 2π r L = 0.0098 m²

Q = λ A = 15.3 × 0.0098 = 0.1499 nc

The charge on cylinder (c) with uniform density on uniform density is 490× 0.0636 = 31.164 × 2π r = 0.049 nc

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The corresponding tensile stress in the splice is 1240 kPa.

Tensile stress is a type of mechanical stress that occurs when an object is pulled or stretched. It is the opposite of compressive stress, which occurs when an object is pushed or compressed.

Given:
Maximum allowable shearing stress in the glued splice, τ_allowable = 620 kPa.
(a) Largest load P that can be safely applied:
The maximum loading capacity of a scarf joint is determined by the allowable shear stress, τ_allowable. The load P is related to the maximum allowable shear stress by the following equation,
P = 2Aτ_allowable
where A is the cross sectional area of either member of the joint.
Therefore, P = 2*A*τ_allowable
= 2*A*620 kPa
= 1240 A (kN)
Hence, the largest load P that can be safely applied is 1240 A (kN).
(b) Corresponding tensile stress in the splice:
The tensile stress in the splice is related to the load P and cross sectional
area A by the following equation, σ = P/A.
Therefore, σ = 1240 A/A = 1240 kPa.
Hence, the corresponding tensile stress in the splice is 1240 kPa.

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At point X, the current is the same as the current entering the circuit, which is determined by the voltage of the power source and the resistance of the components in the circuit.

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"The electric fields (which are vectors) produced by multiple charges add (meaning vector addition)."The total electric field is the sum of the two fields if there are two electric fields, one created by a positive charge and the other produced by a negative charge.

This means that if you have two electric fields, one produced by a positive charge and one produced by a negative charge, the total electric field is the sum of the two fields.

The direction of the total field is determined by the direction of the individual electric fields, and the strength of the total field is determined by the magnitude of the individual fields.

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The values ​​of q1 and q2 in which the resultant electric force exerted on each of the other three charges zero is - 4C.

The value of charges q1 and q2 is calculated by applying the formula for electric force as shown below.

F = (kqₙqₓ) / (d²)

where;

If the force exerted on each of the other three charges is zero, then

F₁₃ + F₃₄ = 0

F₂₃  +   F₃₄ = 0

F₁₃ = (k x q₁ x 8) / (d²)

F₂₃ = (k x q₂ x 8 ) / (d²)

F₃₄ = (k x 8 x 4 ) / (d²)

F₁₃ = - F₃₄

(k x q₁ x 8) / (d²)  = -  (k x 8 x 4 ) / (d²)

8q₁ = - 32

q₁ = -32 / 8

q₁ = - 4 C

F₂₃ = - F₃₄

(k x q₂ x 8 ) / (d²) = -  (k x 8 x 4 ) / (d²)

q₂  = - 4 C

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Electrical breakdown between the small positive charge region close to the cloud's base and the negative charge region in the middle of the cloud typically causes a burst of cloud-to-ground lightning.

There are too numerous and unreliable factors that can lead to the production or buildup of charge in the clouds. However, during thunderstorms, strong air currents divide positive and negative charges, resulting in clouds with rain in the lower sections and ice crystals in the upper regions.

There is always a charge imbalance between the atmosphere and the ground during thunderstorms during the wet season, which is partially released through electron movement in the form of "cloud-to-ground" lightning.

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According to the problem the molecular weight of air in this process is 0.8316 g.

Molecular weight is a measurement used to describe the mass of an individual molecule. It is expressed in daltons (Da) or atomic mass units (amu). It is calculated by adding together all of the atomic masses of the atoms that make up the molecule.

The first law of thermodynamics states that the change in the internal energy of a system is equal to the heat added to the system plus the work done on or by the system.
Since there is no work being done in this process, we can write:
$\Delta U=Q$
We can calculate the change in internal energy using:
$\Delta U=nC_v\Delta T$, where $n$ is the number of moles and $C_v$ is the specific heat capacity at constant volume.
We can calculate $n$ using:
$n=PV/RT$, where $P$ is pressure, $V$ is volume, $R$ is the universal gas constant, and $T$ is temperature.
At state 1, n = (3 bar)(0.2 m3)/[(8.31 J/mol K)(350 K)] = 0.0099 mol
At state 2, n = (5 bar)(0.6 m3)/[(8.31 J/mol K)(350 K)] = 0.0297 mol
The molecular weight of air can be calculated as follows:
Molecular weight of air = 28 g/mol x n (moles) = 28 g/mol x 0.0297 mol = 0.8316 g
Therefore, the molecular weight of air in this process is 0.8316 g.

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The frequency and severity of heatwaves, for instance, would increase. According to the U.N. climate science panel, if global warming increases by 1.5°C or more, extreme heat events that occur once every ten years in a climate unaffected by human activity would occur 4.1 times and 5.6 times, respectively (IPCC).

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The cable has an effective 2 cross-section car weighing 130 km when fully loaded is pulled slowly up a steep inclined track by a steel cable.

The Benz Patent-Motorwagen, created by German inventor Carl Benz, was the first automobile. The 20th century saw the widespread availability of automobiles . The 1908 Model T, an American automobile produced by the Ford Motor Company, was one of the first vehicles that the average person could purchase. In the US, where they quickly displaced horse-drawn carriages, cars became commonplace.  The market for vehicles did not pick up until the end of World War II in Europe and other regions of the world. The automobile is seen as a crucial component of the modern economy.

Controls are available for driving, parking, passenger comfort, and a number of lighting in automobiles. Vehicles have steadily become more complicated over the years as more features and controls have been introduced. These include GPS systems, air conditioning, and rearview cameras.

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I and III have the same period, and also II and IV have the same period.

The equation of wave is given by;

y = Asin(kx - ωt)

        or

y = Acos(kx - ωt)

(depending or the waveform)

where;

A denotes the amplitude of the wave in meters

y(x,t) is the displacement in meters

k = 2π/λ is the propagation constant

ω = 2π/T is the expression for angular frequency in radian per seconds

T = 2π/ω;

T is the time period in seconds

+ve(positive) and -ve(negative) signs show the direction of the wave.

I) Comparing y = 0.12cos(3x - 21t) with the general equation, we get the values as;

         ωt = 21t

         ω = 21

     2π/T = 21

     T = 2π/21 seconds

II) Comparing y = 0.15 sin(6x + 42t)  with the general equation, , we get the values as;

       ωt = 42t

       ω = 42

  2π/T = 42

  T = 2π/42 seconds

III) Comparing y = 0.13 cos(6x + 21t) with the general equation, we get the values as;

       ωt = 21t

       ω = 21

  2π/T = 21

 T = 2π/21 seconds

IV) Comparing y = -0.23 sin(3x - 42t) with the general equation, we get the values as:

       ωt = 42t

       ω = 42

  2π/T = 42

 T = 2π/42 seconds    

Therefore, we can state that I and III have the same period, II and IV have the same period.

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The area of space surrounding an electrically charged particle or object in which the charge body perceives force is known as the electric field.

The charge per unit area that would be moved over a layer of conductor put across an electric field is known as electric displacement, indicated by the symbol D. Electric flux density is another name for it.

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.

A hypothetical charge at a single point in space is known as a point charge. Even though an electron is often referred to as a point charge, its size can be determined by a length scale called the electron radius.

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The buoyant force on the steel object is equal to its weight. The tension in the string is less than weight of the steel object. The buoyant force on the ehckis equal to the volume of water it displaces.

What is meant by weight?

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There was no provision made in them for the gap between slave and free states. There is no benefit to taking the SAT or the ACT over the other test because both are accepted by all US schools and universities.

Germany's Daniel Gabriel Fahrenheit, a scientist, first proposed the Fahrenheit scale in 1724. Fahrenheit developed his scale by measuring three things using a mercury-filled tube: The freezing point of the water was established by him.

Here is an easy approach you may use to quickly convert between Celsius and Fahrenheit: The temperature is converted to degrees Fahrenheit by multiplying the Celsius temperature by 2, then by 30.

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The stellar objects sorted by their total power output per unit surface area,

a brown dwarf with T= 1000 K

a K star with T= 4400 K

the Sun, a G star with T= 5800 K

an F star with T= 7000 K

Power is defined in physics as the quantity of energy transported or transformed per unit time. The watt is the unit of power in the International System of Units, equivalent to one joule per second. Power is also referred to as activity in ancient writings. A scalar quantity is power. Power may be defined as the pace at which work is completed in a given amount of time. Watt (W) is the SI unit of power, which is joules per second (J/s). Horsepower (hp), which is approximately equivalent to 745.7 watts, is sometimes used to describe the power of motor vehicles and other machinery.

Here,

The star objects are arranged in order of total power output per unit surface area,

a brown dwarf with T= 1000 K

a K star with T= 4400 K

the Sun, a G star with T= 5800 K

an F star with T= 7000 K

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The magnitude of the force exerted on the 300 kg bumper car is 500 N.

option B.

Newton's third law of motion states that for every action force, there is an equal and opposite reaction force. That is action force and reaction force are equal in magnitude but opposite in direction.

Mathematically, the formula for Newton's third law of motion is given as;

Fa = - Fb

where;

Fb = - 500 N

| Fb | = 500 N

Thus, the force exerted by 200 kg bumper is to the force exerted by 300 kg bumper.

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Our solar system currently consists of nine planets. completes one rotation around the centre of the milky way every 250 million years. The correct option is (C).

Around 4.5 billion years ago, gravity pulled a cloud of gas and dust together, forming our solar system.

The Sun is the parent star of the solar system and by far its most important element. It is categorised as a yellow dwarf with a medium size.

The Sun is the centre of the solar system, which also includes the eight planets, their 162 known moons, the three currently known dwarf planets, each with four known moons, and thousands of other minor bodies. Asteroids, meteoroids, comets, and interplanetary dust fall under this final category.

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The greatest speed obtained by the item is 0.0675, according to the supplied solution.

We now understand that velocity reaches its maximum when y=0, which means the system is in equilibrium when displacement and acceleration are both zero. In basic harmonic motion, the formula v=A can be used to determine the maximum velocity at a given position.

Top speed and greatest velocity are also terms used in sprint competitions. This refers to your maximum sprint pace, which you can only maintain for a brief period of time until mechanical deceleration and tiredness cause you to slow down.

Mass of the object, m = 2.4 Kg

Spring constant, K = 330N/m

Speed = 0.60 m/sec

We know

ω = √(k/m)

   = √(330/2.4)

ω    = 11.72 rad /sec

For the speed:

V =  ω √(A² +  x²)

= 11.72√(A² + 0.02)

= 0.0675

According to the given solving the maximum speed attained by the object =  0.0675.

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Answer:

  C. bowling balls

  D. steel cubes

Explanation:

You want to identify the elastic collisions from the list ...

An elastic collision is one in which there is no loss of kinetic energy. Both kinetic energy and momentum are conserved.

In general, a collision is not elastic if energy is dissipated as sound, light, heat, or deformation of material.

Of the offered choices, the first two (car collision, sticky tape collision) will result in deformation of one or more of the colliding objects. That deformation dissipates energy, so the kinetic energy after the collision will be different from before the collision.

The collision of (C) bowling balls, and (D) steel cubes are elastic collisions. Neither results in deformation of the colliding objects.

__

Additional comment

Clearly, any sort of collision can be engineered with enough starting energy to cause the colliding objects to disintegrate. Here, we're primarily concerned with collisions that allow the integrity of the colliding objects to be maintained (except in crashed cars).

The collisions are more or less assumed to be "ideal" in that there is no significant energy loss due to sound or vibration of the objects involved.

Answer:

I think a is the correct answer

B: Electrostatic force is responsible for the repulsive force between two atoms charged identically.

The electrostatic force is an attractive force as well as a repulsive force induced by the electric charge particles. The electrostatic force is also called Columb's force. The Columb attraction would be named after Charles-Augustin de Coulomb, a French scientist. One of nature's four basic forces however is electrostatic force.

Between two charges placed at a distance, there exists the electrostatic force. The magnitude of the electrostatic force relies on the magnitude of each charge and the distance between them. When two identically charged objects (both with positive charges or both with two negative charges) are brought together, then the same charges repel each other.

"

Complete question

which of the following are responsible for the repulsive force between two identically charged atoms?

A: force of attraction

B: electrostatic force

"

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The differential energy balance for a steady-state, open-system with one dimensional flow across the boundaries, a single inlet, a single outlet, and negligible variation of height, density, and enthalpy across either inlet or outlet area is gdz+αvdv+ dH=δQ+δWs.

where δQ and δWs denote inexact differentials (path dependent) of Q and Ws and the rest of the notation is consistent with the notation used in the lecture

In addition to analyzing the transfer of mass, chemical engineers are also concerned

with the transfer of energy. Mass transfer problems are typically coupled with energy

transfer. General property of energy balance is the same as mass balance.

The first law of thermodynamics is a basis for energy balance, and it states that energy

is neither created nor destroyed. Energy can only be converted between forms.

Energy can be input or output from a system by:

- Mass transfer (mass carries energy),

- Its heat Q ; energy flow in response to ΔT (temperature difference),

- Its work W ; energy flow in response to any driving force besides ΔT , e.g. Force,

torque, voltage difference.

System’s mass accumulates energy as kinetic energy Ek , potential energy Ep , internal

energy U.

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Since speed is 0 when at rest. Only while moving does an object have kinetic energy.

The power behind motion is called kinetic energy.

KE = (0.5) m v2 is the equation for kinetic energy.

m denotes the object's mass, and v its speed.

An object at rest has no kinetic energy because it is at rest because its speed is zero, whereas an object moving at some speed and mass will have kinetic energy.

since speed is 0 when at rest. Only while moving does an object have kinetic energy.

An object at rest has no kinetic energy because it is at rest because its speed is zero, whereas an object moving at some speed and mass will have kinetic energy.

Since speed is 0 when at rest. Only while moving does an object have kinetic energy.

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The amount of the car's centripetal acceleration as it follows the curve given in the paragraph is -v2/r = a.

A force is an effect in physics that may modify the velocity of an item. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force may be characterized as a push or a pull. A force is a vector quantity since it has both magnitude and direction. The term "force" has a specific meaning in science. At this level, it is quite acceptable to refer to a force as a push or a pull. A force is not something that an item possesses or possesses. Another item applies a force to another. The concept of a force is not restricted to living or non-living entities.

Here,

In general, Force = ma where m is mass and a is acceleration.  The specific form for Centripetal Force = -mv2/r.

Equate the two equations for Force:

-mv²/r = ma

-v²/r = a

The magnitude of the centripetal acceleration of the car as it goes around the curve described in the passage is -v²/r = a.

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1 > 2 > 3 > 4 will be the order of the planets As per mass per unit volume and stats are given. As the density of the planet is directly proportional to its mass of the planet.

The force of attraction of two bodies is directly proportional to the products of their masses whereas it is inversely proportional to that of the distance between them here we use the constant Newton's gravitational Universal Constant.

So the more the mass more the attraction and more the distance the less attraction will be or vice-versa.

And shown in the Image attached how density is decreasing from planet 1 to planet 4 so the order of masses will also be the same.

And for bodies that have the same density would be evaluated on the basis of the distance between them.

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The equivalent unit of the momentum is 7.2 g m/s.

We have to note that the momentum of the object is determined as the product of the mass and the velocity of the object. The reason why we say that the momentum is a vector is because it has the direction of the velocity of the object.

We know that the unit of the momentum of the object can be said to be the kilogram meter per second given the dimensions of the momentum. we can be able to obtain an equivalent unit when we convert the given value of 7.2 X 10^-3 Kg m/s.

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Missing parts;

The momentum of an object is determined to be 7.2 X 10-3 kg m/s. Express this quantity as provider or use any equivalent unit.

Answer:

of the net electric field at point P due to the two charges.

Explanation: