The 2.50 kg cube in the figure has edge lengths d = 6.50 cm and is mounted on an axle
through its center. A spring (k = 900 N/m) connects the cube's upper corner to a rigid wall.
Initially the spring is at its rest length. If the cube is rotated 2.00° and released, what is the
period of the resulting SHM?​

The 2.50 Kg Cube In The Figure Has Edge Lengths D = 6.50 Cm And Is Mounted On An Axlethrough Its Center.

Answers

Answer 1

Answer:

0.191 s

Explanation:

The distance from the center of the cube to the upper corner is r = d/√2.

When the cube is rotated an angle θ, the spring is stretched a distance of r sin θ.  The new vertical distance from the center to the corner is r cos θ.

Sum of the torques:

∑τ = Iα

Fr cos θ = Iα

(k r sin θ) r cos θ = Iα

kr² sin θ cos θ = Iα

k (d²/2) sin θ cos θ = Iα

For a cube rotating about its center, I = ⅙ md².

k (d²/2) sin θ cos θ = ⅙ md² α

3k sin θ cos θ = mα

3/2 k sin(2θ) = mα

For small values of θ, sin θ ≈ θ.

3/2 k (2θ) = mα

α = (3k/m) θ

d²θ/dt² = (3k/m) θ

For this differential equation, the coefficient is the square of the angular frequency, ω².

ω² = 3k/m

ω = √(3k/m)

The period is:

T = 2π / ω

T = 2π √(m/(3k))

Given m = 2.50 kg and k = 900 N/m:

T = 2π √(2.50 kg / (3 × 900 N/m))

T = 0.191 s

The period is 0.191 seconds.

Answer 2

The period of the resulting SHM is : 0.191 sec

Given data :

Edge length of cube = 6.50 cm

Spring ( K )  = 900 N/m  

Radius ( r ) = [tex]\frac{d}{\sqrt{2} }[/tex]  

mass ( m ) = 2.50 kg

Determine the period of the resulting SHM

Distance stretched by the spring when the cube is stretched through θ =  r sin θ

Vertical distance from the center = r cos θ

F = k r sin θ

next step : determine the sum of torques

sum of torques ( ∑τ ) = I∝

                          F * r cos θ = I∝

                          ( k r sin θ ) r cos θ =  I∝  

                          k (d²/2) sin θ cos θ = I∝  ------ ( 1 )

Note : For cube rotating around its center I = 1/6 md²

Back to equation ( 1 )

k (d²/2) sin θ cos θ = 1/6 md² *

[tex]\frac{3}{2}[/tex] k sin(2θ) = m∝     ( sin θ ≈ θ for small values like 2° )

∴ ∝ = ( 3k / m ) θ

d²θ/dt² = ( 3k / m ) θ

Angular frequency ( w ) = √ (3k/m)

Final step : Calculate the value of the period of the resulting SHM

T = 2π / ω

  = 2π / √( m / (3k) )

  = 2π / √(2.50 kg / (3 * 900 N/m))

  = 0.191 sec

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Related Questions

Which of the following is equal to an impulse of 15 units?

A) Force = 10, Time = 0.5
B) Force = 7.5, Time = 2
C) Force = 20, Time = 1.5
D) Force = 15, Time = 1.5

Answers

Answer:

B) Force = 7.5, Time = 2 is equal to an impulse of 15 units

It totally depends on WHAT the units are.

IF the force is 7.5 Newtons AND the time is 2 seconds, THEN the impulse is 15 newton-seconds or 15 kg-m/sec. (choice-B)

If either of them isn't, then it isn't.

A ball is launched horizontally at 150 m/s from a cliff. What is its initial vertical velocity? A. 30 m/s B. 50 m/s C. 150 m/s D. 0 m/s
NEED HELP ASAP!!!!!!

Answers

Final answer:

The correct answer is D. 0 m/s. This is because the ball has no initial vertical velocity when launched horizontally from a cliff.

Explanation:

The initial vertical velocity for a ball launched horizontally from a cliff would be 0 m/s. This is because when an object is thrown horizontally, it means that all of its initial velocity is in the horizontal direction, and thus it has no initial vertical velocity.

Looking at our options:

A. 30 m/sB. 50 m/sC. 150 m/sD. 0 m/s - Correct Answer.

What's the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20m/s?

Thank you,
Marilyn​

Answers

Ek = 6KJ.

In physics, the kinetic energy of a body or object is the one that owns due to its movement and is given by the equation [tex]E_{k} = \frac{1}{2} mv^{2}[/tex], where m is the mass of the object in kilograms and v is the velocity in m/s.

An object that it has a mass of 30 kilograms and moves with a velocity of 20m/s, its kinetic energy is given by:

[tex]E_{k} = \frac{1}{2} (30kg)(20m/s)^{2}=6000J=6KJ[/tex]

to find power we need to determine?

Answers

Answer:

Work and time needed to the work

Explanation:

Power is defined as follows:

[tex]P=\frac{W}{t}[/tex]

where

P is the power

W is the work done

t is the time needed to do the work

Since the work can also be rewritten as the product between force (F) and displacement (d):

W = F d

The power can be also rewritten as

[tex]W=\frac{Fd}{t}[/tex]

But [tex]\frac{d}{t}[/tex] is equal to the velocity, v; so, power can be rewritten as product between force and velocity:

[tex]P=Fv[/tex]

Why was the Bill of Rights added to the U.S. Constitution?

To declare independence from Britain
To create the three branches of government
To safeguard Americans' rights
To enforce important laws

Answers

Answer:

the answer is to safeguard Americans rights took the test

Explanation:

C. To safeguard American's rights

What is the bill of rights in the U.S. constitution?

The bill of Rights is the name given to the primary 10 amendments to our constitution. The bill of Rights consists of guarantees of civil liberties and checks on state power; it was introduced in order to convince states to ratify the constitution.

the 3 most important Bill of Rights

The Bill of Rights lists essential rights to be protected

These include the right to life, dignity, and the right to freedom and security.Slavery or forced labour is illegal.People are also guaranteed the right to privacy, freedom of religion, belief and opinion.

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At exactly the same time, Daisy and Damond both step off a diving platform 5 meters high. Damond jumps up and out from the platform, whereas Daisy just just takes a step from a standing position.
Which of the following is true?
A. The person who has less mass will reach the water first.
B. Daisy will reach the water first.
C. Damon will reach the water first.
D. Damond and Daisy will reach the water at the same time.

Answers

Answer:

B

Explanation:

A. False.  Their mass does not affect when they reach the water.

B. True.  Daisy will reach the water in 1 second.

C. False.  Damon will reach the water in more than 1 second.

D. False.  Daisy reaches the water first.


To be considered a living thing, an organism must be able
produce oxygen.
increase in size.
C. adapt to change.
D. move independently.

Answers

Answer:

D. move independently.

Explanation:

To be considered a living thing, an organism must be able to move independently.

Answer:

To be considered a living thing, an organism must be able adapt to change.

Which statement best explains why Earth is not a perfect sphere?

Earth revolves too quickly around the Sun

Earth's spin on its axis causes the equator to bulge

The circumference of the Earth is greater at its poles

The gravity of the moon changes Earth's shape

Answers

Earth’s spin on its axis causes the equator to bulge

Answer:

Earth's spin on its axis causes the equator to bulge

Explanation:

The Earth is not a perfect sphere but an oblate ellipsoid. The force that holds a planet is gravity. The Earth is rotating on its axis at a speed of 460 m/s at the equator. Due to this reason there is a build up of centrifugal force on the Earth which causes it to expand giving it a bulge.

The Sun and the Moon's gravity causes waves on the surface of large water bodies.

distinguish between uniform and non uniform motion.Is uniformly accelerated motion uniform motion ?​

Answers

No.

Uniform motion means no acceleration ... speed and direction are not changing.

Final answer:

Uniform motion involves moving at a constant velocity, while non-uniform motion entails changes in speed or direction. Uniformly accelerated motion changes velocity over time and is not uniform. Uniform circular motion has a constant speed but changes direction, while non-uniform circular motion changes in speed and possibly acceleration.

Explanation:

Uniform motion occurs when an object moves at a constant velocity, meaning that it covers equal distances in equal intervals of time regardless of the length of the interval. On the other hand, non-uniform motion involves changes in the speed or direction of the object, meaning the object does not cover equal distances in equal time intervals, which can include speeding up, slowing down, or changing direction.

Uniformly accelerated motion is not considered uniform motion because, even though the acceleration is constant, the velocity of the object changes over time. Specifically, in uniformly accelerated motion, the object’s speed increases or decreases at a steady rate, leading to a change in velocity.

Uniform circular motion refers to an object moving along a circular path with a constant speed, which means that the object’s velocity is constant in magnitude, but changing in direction. This is a special type of uniform motion because it involves constant speed but the direction is continually changing, which implies the presence of acceleration. Conversely, non-uniform circular motion refers to when an object is traveling along a circular path but with a changing speed, which can also mean changing acceleration.

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Superposition of two wave crests produces ____ interference.

Constructive
Destructive

Answers

Answer:

Constructive

Explanation:

Superposition of two wave crests produces constructive interference.

Answer:

Superposition of two wave crests produces destructive interference.

Explanation:

You may have already let your phone ring near the speakers of a computer and noticed that they started to sizzle. You must also have heard that, when traveling by plane, the cell phone must be turned off to avoid failures in the communication devices. Both cases have the same reason: wave interference. Waves are energetic pulses that propagate through space periodically. When two waves overlap in the same region of space, interference occurs, which results in another wave with different intensity. These inferences can be either constructive or destructive.

The superposition of two wave crests produces destructive interference. This type of inference occurs when two waves that meet have different phases, so that one annihilates the other. The result is a wave with zero amplitude.

What is the average acceleration during the time interval 0 seconds to 10 seconds?
O A.
0.5 meters/seconda
B.
1 meter/second?
C.
2 meters/second?
D.
3 meters/seconde

Answers

Answer:

A. [tex]0.5 m/s^2[/tex]

Explanation:

The average acceleration is equal to the ratio between the change in velocity and the time elapsed:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

The change in velocity between t=0 s and t=10 s is the change on the vertical axis:

[tex]\Delta v = 5 -0 = 5 m/s[/tex]

Whule the time interval is

[tex]\Delta t = 10 s[/tex]

So the average acceleration is

[tex]a=\frac{5 m/s}{10 s}=0.5 m/s^2[/tex]

Answer:

A

Explanation:

plato

Define relative density​

Answers

Hello There!

Relative density is another word for specific gravity. Relative density is comparing the density of one thing to the density of another. Most of the time, you look at the density of water so we look at the density of an object relative to the density of water.

What is a hypothesis?

a. a report of the findings of scientific experiments

b. use of isolated facts to reach a general idea that may explain a phenomenon

c. a general statement made to infer a specific conclusion, often in an “if. . . then” format.

d. a tentative statement, based on data, that can be used to guide further observations and experiments

Answers

c. a general statement...

If the mass of an object is 8 kg and its momentum is -80 kgm/s, what is its velocity?

A. 10 m/s
B. 12 m/s
C. 8 m/s
D. -10 m/s

Answers

An object's momentum is the product of its mass and its velocity:

p = mv

p is its momentum, m is its mass, and v is its velocity.

Given values:

p = -80kg×m/s

m = 8kg

Plug in these values and solve for v:

-80 = 8v

v = -10m/s

Choice D

The velocity is Option D. -10 m/s

What is velocity?Velocity is the speed at which something moves in the same direction. For example, the speed of a car traveling north on a highway, or the speed a rocket travels after launching.Velocity is defined as the displacement of an object in a unit of time.The formula of velocity is

v = p/m

v = velocity

p = momentum

m = mass of the object

An object's momentum exists as the product of its mass and its velocity:

p = mv

p is its momentum, m exists its mass, and v stands for its velocity.

Given values:

p = -80kg×m/s

m = 8kg

Plug in these values and solve for v:

-80 = 8v

v = -10m/s

The SI unit of velocity is m/s.Velocity is also defined as the rate of change of displacement of the body with respect to time.

The velocity is Option D. -10 m/s

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PLEASE ANSWER FIRST GETS BRAINLIEST

Explain the role electrons play in producing light

Answers

Answer:

Electrons jump between energy levels, absorbing and releasing energy as they are jumping between energy levels. The energy given off corresponds to different frequencies of light. If the light is visible, we see these frequencies as different colors.  

Electrons play a crucial role in producing light. When an electron gains energy, it moves to a higher energy level and quickly returns to its original level, releasing the excess energy as a photon. The energy of the photon determines its color or wavelength, allowing scientists to manipulate light color and intensity by controlling electron energy levels.

Electrons play a crucial role in producing light. When an electron in an atom gains energy, it moves to a higher energy level or orbital. However, this excited state is unstable, so the electron quickly returns to its original energy level, releasing the excess energy in the form of a photon, which is a particle of light.

The energy of the photon determines its color or wavelength. For example, blue light has a higher energy than red light. By controlling the energy levels of electrons in objects such as light bulbs or LEDs, scientists and engineers can manipulate the color and intensity of light produced.

This phenomenon is seen in fluorescent lights, where electricity is used to excite electrons in a gas, causing them to release photons. These photons then strike a material called a phosphor, which emits visible light. So, without electrons and their ability to gain and release energy, we wouldn't have light as we know it.

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Graphs are representations of equations.
A. True
B. False

Answers

Answer:

Hi there!

The answer is: A. True

Most graphs are representations of equations but not all are.

A football is kicked from the ground with a velocity of 38m/s at an angle of 40 degrees and eventually lands at the same height. What is the direction and magnitude of the ball's velocity 0.2 seconds after impact?

Answers

Initially, the velocity vector is [tex]\langle 38cos(40^{\circ}),38sin(40^{\circ}) \rangle=\langle 29.110, 24.426 \rangle[/tex]. At the same height, the x-value of the vector will be the same, and the y-value will be opposite (assuming no air resistance). Assuming perfect reflection off the ground, the velocity vector is the same. After 0.2 seconds at 9.8 seconds, the y-value has decreased by [tex]4.9(0.2)^2[/tex], so the velocity is [tex]\langle 29.110, 24.426-0.196 \rangle = \langle 29.110, 24.23 \rangle[/tex].

Converting back to direction and magnitude, we get [tex]\langle r,\theta \rangle=\langle \sqrt{29.11^2+24.23^2},tan^{-1}(\frac{29.11}{24.23}) \rangle = \langle 37.87,50.2^{\circ}\rangle[/tex]

A crystal lattice formed by positive and negative ions is called a(n) _________. A. ionic crystal B. macromolecular crystal C. magnetic crystal D. metallic crystal

Answers

Answer:

A. ionic crystal

Explanation:

Crystal lattice is the ordered arrangement of molecules in a crystal. There are different form of arrangement in which molecules of crystals can be put to. When ions in a crystal are arranged in such a way that opposite charges are aligned and are held by an electrostatic force of attraction, an ionic crystal is formed.

When a wave moves from a dense medium to a less dense medium most of the wave energy is

Answers

Answer:when a wave moves from a dense medium to a less dense medium most of the wave energyis refracyed.

Explanation:

Answer: reflected

Explanation: A P E X

Which statement correctly describes the relationship between frequency and wavelength?
As the frequency of a wave increases, the longer its wavelength is.
As the frequency of a wave increases, the shorter its wavelength is.
As the frequency of a wave increases, its wavelength remains the same.

Answers

For a wave:

v = fλ

v is the velocity, f is the frequency, and λ is the wavelength.

Assuming the velocity of the wave doesn't change...

If you increase its frequency, its wavelength will shorten.

Answer:

As the frequency of a wave increases, the shorter its wavelength is.

Explanation:

A long uniform thin rod of length 55 cm and mass 1.2 kg in FIGURE 2 rotates in
the plane of the figure about an axis through one end of the rod. As the rod
swings through its lowest position, it collides with a 200 g putty wad that sticks to the end of the thin rod. Given the rod's angular speed just before the collision is 3 rad/s. Calculate

(i) the moment of inertia of the long thin rod.
(ii) the initial angular momentum of the system before the collision.
(iii) the angular speed of the rod-putty wad system immediately after collision.​

Answers

Answer:

(i) 0.121 kg m²

(ii) 0.363 kg m²/s

(iii) 2 rad/s

Explanation:

(i) The moment of inertia of a rod about its end is:

I = 1/3 mr²

where m is the mass and r is the length.

Given m = 1.2 kg and r = 0.55 m:

I = 1/3 (1.2 kg) (0.55 m)²

I = 0.121 kg m²

(ii) Angular momentum is the moment of inertia times the angular velocity:

L = Iω

L = (0.121 kg m²) (3 rad/s)

L = 0.363 kg m²/s

(iii) This time, the moment of inertia of the putty is included.

I = 1/3 mr² + Mr²

I = 0.121 kg m² + (0.2 kg) (0.55 m)²

I = 0.1815 kg m²

Angular momentum is conserved:

L = Iω

0.363 kg m² = (0.1815 kg m²) ω

ω = 2 rad/s

A substance that is easily magnetized is a

Answers

Answer:

the correct answer is ferromagnetic.

The substance which can get easily magnetized is a ferromagnetic substance.

Explanation:

The magnetic properties of a substance classifies any substance into two kinds of substances or materials. These are ferromagnetic substances or the paramagnetic substances.

These two have been classified on the basis of being magnetized. Ferromagnetic substances gets easily magnetized whereas the paramagnetic substances do not get magnetize easily.

Examples of ferromagnetic substances: Iron, Cobalt or Nickel.

When a person rides a bicycle past a tree while wearing a helmet, the person is moving relative to


only the bicycle

only the tree

the tree and the bicycle

the bicycle, the tree, and the helmet

Answers

Only the tree. The person is moving at the same speed as the bicycle and helmet
Final answer:

A person riding a bicycle past a tree while wearing a helmet is moving relative to the tree, the bicycle, and the helmet. This is a concept in physics known as frames of reference, implying movement and direction are dependent on the perspective of observation.

Explanation:

When a person rides a bicycle past a tree while wearing a helmet, the person is moving relative to the tree, the bicycle, and the helmet. That is to say, if you were observing from the cyclist's perspective, everything would be moving: the tree as they pass, the bicycle beneath them, and even their helmet.

This is typical of what we discuss in physics as frames of reference, with the notion of relative movement. While the tree appears to move in one direction, the bicycle and helmet in another, everything depends on your perspective or your frame of reference.

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What are the six regions of the Sun?

Answers

Answer:

The Core, Radiation Zone, Convection Zone, Photosphere, Chromosphere, and the Corona.

Explanation:

The Sun has 6 different region which constitutes it completely which are namely from the outermost part to innermost part as follows,

Corona, Chromosphere, Photosphere, Convection Zone, Radiation Zone, Core.

Explanation:

The innermost part is the core of the Sun which has its 25 percent of presence in respect to the radius of the Sun. Next is the Radiation zone comprising the 45 percent of the radius with another 30 percent covered with the convection zone of the Sun.

The atmosphere of the sun contains the outer three parts as Photosphere, Chromosphere and the Corona. The level of heat increases on the way up in atmosphere.

The field around a long, straight wire is:
parallel to the wire
radial to the wire
perpendicular to the wire
concentric with the wire

Answers

Answer:

Concentric with the wire

Explanation:

The magnetic field around a long, straight current-carrying wire forms concentric lines around the wire itself. The magnitude of the field is given by:

[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]

where

[tex]\mu_0[/tex] is the magnetic permeability

I is the current in the wire

r is the distance from the wire

The direction of the lines of the field can be determined by using the right-hand rule: the thumb of the right hand points in the same direction as the current, and the other fingers (wrapped around the thumb) gives the direction of the field lines.

Answer:

concentric with the wire

Explanation:

An astronaut in a space craft looks out the window and sees an asteroid move pas a backward direction at 68 mph relative to the space craft. If the velocity of the space craft is 126 mph relative to the position of the sun, what is the velocity of the asteroid relative to the sun?

Answers

Answer: -194 mph

Explanation:

Taking into account the Sun as the center (origin, point zero) of the reference system, the velocity of the spacecraft relative to the Sun [tex]V_{R-S}[/tex] is:

[tex]V_{R-S}=126mph[/tex]  Note it is positive because the spacecraft is moving away from the Sun

Taking into account the spacecraft as the center of another reference system, the velocity of the asteroid relative to the spacecraft [tex]V_{A-R}[/tex] is:

[tex]V_{A-R}=-68mph[/tex] Note it is negative because the asteroid is moving towards the spacracft.

Now, the velocity of the asteroid relative to the Sun [tex]V_{A-S}[/tex] is:

[tex]V_{A-S}=V_{A-R}-V_{R-S}[/tex]

[tex]V_{A-S}=-68mph-126mph[/tex]

Finally:

[tex]V_{A-S}=-194mph[/tex] This is the velocity of the asteroid relative to the Sun and its negative sign indicates it is moving towards the Sun.

The asteroid's velocity relative to the spacecraft (68 mph) from the spacecraft's velocity relative to the sun (126 mph), resulting in 58 mph.

The question involves calculating the velocity of the asteroid relative to the sun, given its velocity relative to a spacecraft and the spacecraft's velocity relative to the sun. To do this, we need to add the velocities, taking into account the direction each one is moving.

Since the asteroid is moving in the opposite direction to the spacecraft relative to it, we subtract the asteroid's velocity from the spacecraft's velocity. The spacecraft's velocity relative to the sun is 126 mph. Therefore, we subtract the asteroid's relative velocity of 68 mph from this to find the asteroid's velocity relative to the sun.

The asteroid's velocity relative to the sun = spacecraft's velocity relative to the sun - asteroid's velocity relative to the spacecraft = 126 mph - 68 mph = 58 mph.

Thus, the asteroid is moving at 58 mph relative to the sun.

A vector quantity is always the same as a scalar quantity.
True or false

Answers

Answer:

false

Explanation:

because

scalar quantity :has only magnitude but no direction

vector quantity : has both magnitude and direction

Need help with science questions!

Which best describes how the law of conservation of energy is obeyed in this closed physical system?



A.
The final mechanical energy of the system is the difference between the original mechanical energy of the system and the change in mechanical energy of the system (ΔE). When the piston does work (W), only the mechanical energy added to the system (Q) is transferred to kinetic energy.


B.
The final thermal energy of the system is the sum of the original internal energy of the system and the change in energy of the system (ΔE). When the piston does work (W), all the thermal energy is transferred to kinetic energy.


C.
The final mechanical energy of the system is the sum of the original internal energy of the system and the change in energy of the system (ΔE). When the piston does work (W), all the mechanical energy is transferred to kinetic energy.


D.
The final thermal energy of the system is the difference between the original internal energy of the system and the change in energy of the system (ΔE). When the piston does work (W), only the thermal energy added to the system (Q) is transferred to kinetic energy.

Answers

Explanation:

B.

The final thermal energy of the system is the sum of the original internal energy of the system and the change in energy of the system (ΔE). When the piston does work (W), all the thermal energy is transferred to kinetic energy.

Final answer:

The law of conservation of energy states that the total energy of a closed system remains constant over time. This includes both mechanical and thermal energies, where mechanical energy is the sum of kinetic and potential energy, and is conserved in the absence of external forces. The first law of thermodynamics encompasses this principle through the statement that the change in internal energy of a system is equal to the heat added to the system plus the work done on it. So the correct option is A.

Explanation:

The law of conservation of energy in a closed physical system indicates that the total energy within the system remains constant over time. This concept is articulated in the question which concerns how mechanical and thermal energies are conserved within such a system. To clarify, none of the answer choices directly match the principles of energy conservation as generally understood in physics. However, using the information provided, we can explore the principles relevant to the question.

In a closed system, mechanical energy, which includes both kinetic and potential energy, is conserved unless acted upon by external forces. If a piston does work (W), it may convert some of the system's internal energy to kinetic energy, but the total mechanical energy of the system will not change. This aligns with the principle that during any process, the change in a system's mechanical energy will be equal to the work done on the system minus any heat transfer (Q).

According to the first law of thermodynamics, the change in internal energy of a system (ΔE) is equal to the heat added to the system (Q) plus the work done on the system (W). This statement encompasses the conservation of thermal energy as part of the system's total energy. The energy may shift between mechanical and thermal forms, but the total remains the same.

Therefore, the interpretation of the law of conservation of energy should reflect these ideas, and none of the answer choices provided perfectly do so. The closest is perhaps option A, which mentions the transfer of mechanical energy and the work done by the piston, but the phrasing about energy differences is not accurate.

A vessel (see the figure) comprises of into two chambers
X and Y with an adiabatic wall. The adiabatic wall can
move freely. The chambers X and Y contain an ideal gas
under the condition that pressure P, volume V, and
temperature T are all same, respectively. The system
gains an equilibrium fate after heating when the
temperature of chamber X becomes 3T. while the
temperature of chamber Y is always constant at T. The
gas pressure of chamber Y at the equilibrium after the
heating is ....

Answers

Answer:

(C) 2P

Explanation:

Ideal gas law states:

PV = nRT

n (the number of moles) and R (ideal gas constant) are constant, so we can say:

(PV / T) before = (PV / T) after

Chamber X starts at pressure P, volume V, and temperature T.  At equilibrium, the pressure is Px, the volume is Vx, and temperature 3T.

PV / T = Px Vx / 3T

Chamber Y starts at pressure P, volume V, and temperature T.  At equilibrium, the pressure is Py, the volume is Vy, and temperature T.

PV / T = Py Vy / T

Substituting and simplifying:

Px Vx / 3T = Py Vy / T

Px Vx / 3 = Py Vy

Since the chambers are at equilibrium, Px = Py:

Vx / 3 = Vy

Vx = 3 Vy

The total volume is the same as before, so:

Vx + Vy = 2V

Substituting:

(3 Vy) + Vy = 2V

4 Vy = 2V

Vy = V / 2

Now if we substitute into our equation for chamber Y:

PV / T = Py (V/2) / T

PV = Py (V/2)

Py = 2P

The pressure in chamber Y (and chamber X) doubles at equilibrium.

The gas pressure of chamber Y at the equilibrium after the

heating is 2P.

What is Ideal gas law?

This is defined as the equation of state of a hypothetical ideal gas and it is depicted by the following below:

PV = nRT

We can infer that the number of moles(n) and R (ideal gas constant) are constant

PV / T (Initial) = PV / T (Final)

We were told that Chamber X starts at pressure P, volume V, and temperature T.  At equilibrium, the pressure is Px, the volume is Vx, and temperature 3T.

PV / T = P V / 3T

We were also told that Chamber Y starts at pressure P, volume V, and temperature T.  At equilibrium, the pressure is Py, the volume is Vy, and temperature T.

PV / T = Py Vy / T

Substitute into the equation:

Px Vx / 3T = Py Vy / T

Px Vx / 3 = Py Vy

At equilibrium, the chambers are : Px = Py:

Vx / 3 = Vy

Vx = 3 Vy

The total volume is the same as before, so:

Vx + Vy = 2V

Substitute into the equation

(3 Vy) + Vy = 2V

4 Vy = 2V

Vy = V / 2

Substitute into our equation for chamber Y:

PV / T = Py (V/2) / T

PV = Py (V/2)

Py = 2P

Read more about Ideal gas law here https://brainly.com/question/25290815

Which item stores the least electrical potential energy within their capacitors?

Wrist watch
Tablet
Television
Heating and cooling system

Answers

Answer:

wrist watch

Explanation:

The energy stored in a spring of a watch is potential energy which is as a result of winding of the string. This energy is used to run the watch as it converts this potential energy to rotational kinetic energy.

"Wrist watch" stores the least electrical potential energy within their capacitors. A further explanation is below.

Potential energy has already been collected sometimes in kind of wrist watch springtime as nothing more than a consequence of certain string or threading becoming coiled or wrapped around at the item.That very similar energy drives the wrist watch by transforming potential energy into rotational kinetic energies.

Thus the response above is appropriate.

Learn more:

https://brainly.com/question/16700028

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