A monatomic ideal gas is held in a thermally insulated container with a volume of 0.1000 m3m3. The pressure of the gas is 111 kPakPa, and its temperature is 305 KK.To what volume must the gas be compressed to increase its pressure to 140 kPakPa?At what volume will the gas have a temperature of 290 KK?

Answers

Answer 1

The volume at which gas must be compressed is 0.087 mm³ and the volume is 0.108mm³ at which the gas will have the 290 K temperature.

What is adiabatic process?

An Adiabatic process, in thermodynamics,is the  change occurring within a system which occurs as a result of energy transfer to or from the system in the form of work only it means , no heat is transferred.

As the container is an insulator , the process of compression of the gas is an adiabatic process .

As the compressor is thermally insulated , then the compression process is an adiabatic process .

P₁=111 kPa = 111 × 10³ Pa ,

V₁ = 0.1000 mm³ ,

T₁=305K ,

P₂=140 × 10³Pa ,

T₂= 290K ,

V₂=?

[tex]PV^{\gamma}[/tex] = constant ., or [tex]P_{1} V_{1} ^{\gamma}[/tex] = [tex]P_{2} V_{2} ^{\gamma}[/tex]

For monoatomic gas ,Υ = 1.66

[tex]\frac{P_{1} }{P_{2} }[/tex] = [tex]\frac{V_{1} }{V_{2} } ^{\gamma}[/tex]

So , [tex]\frac{V2}{V1}[/tex] = [tex](\frac{P1}{P2} )^{\1\frac{1}{\gamma}}[/tex]

V₂ = V₁ [tex](\frac{P1}{P2})^{\frac{1}{\gamma} }[/tex]

V₂ = 0.1  × [tex](\frac{111 * 10 ^{3} }{140 * 10^{3} } ) ^{\frac{1}{1.66} }[/tex]

Upon solving , we get V₂ = 0.087 mm3

Now PV =RT so , P= RT/V,

(RT₁/V₁)[tex]V1^{\gamma}[/tex] = ( RT₂/V₂) [tex]V2^{\gamma}[/tex],

We get T₁ [tex]V_{1} ^{\gamma-1}[/tex] = T₂ [tex]V_{2} ^{\gamma-1}[/tex],

Now placing the given values in ,

V₂=V₁ ×  [tex](\frac{T1}{T2} )^{\frac{1}{\gamma-1} }[/tex]

V₂ = 0.1000 × [tex](\frac{305 K}{290 K})^{\frac{1}{1.66-1} }[/tex]

We get V₂ = 0.108 mm³

Hence , The volume will be = 0.108 mm³ .

To know more about Adiabatic process , visit :

https://brainly.com/question/11938296

#SPJ1


Related Questions

A 2.0-m-long string vibrates at its second-harmonic frequency with a maximum amplitude of 2.0 cm. One end of the string is at x = 0 cm. Find the oscillation amplitude at x = 10, 20, 30, 40, and 50 cm.

Answers

At x = 10, 20, 30, 40, & 50 cm, the oscillation's amplitude is 8.83 mm.The length of time required for a motion to complete one cycle.

How do you define oscillatory amplitude?

The greatest deviation from the mean position is the magnitude of oscillation for a body that oscillates. It is the length between peak or trough of the wave and its mean position. The loudness of a sound will increase with increasing sound wave amplitude.

In an oscillating pendulum, what is amplitude?

Amplitude: The distance between the motion's center and either extremity. Period: The length of time required for a motion to complete one cycle.

A(x)=A(max)sin(2pix/L)

A(x)=0.015sin(2pix/2)

A(x) =0.015sin (pix)

where x=20cm = 0.2m

A(x)=0.015sin(pi*0.2)

8.83 mm or A(x)=8,82*10-3 m

To know more about amplitude visit:

https://brainly.com/question/15272453

#SPJ4

Suppose we observe a Cepheid variable in a distant galaxy. The Cepheid brightens and dims with a regular period of about 10 days. What can we learn from this observation?We can learn the distance to the galaxy.

Answers

We can find out how far away the galaxy is. By comparing the actual luminosity with the expected luminosity, which is affected by the inverse square law of light traveling through the great expanses of space.

How can the distance of Cepheid variables be determined from observations of those variables?

Astronomers have measured the distances to distant galaxies by observing Cepheid variables. They compare the apparent brightness with the intrinsic brightness of the Cepheid variable. The distance can be determined by comparing the observed and actual brightness.

How far can we measure in space using Cepheid variables?

Unlike Earth-based parallax measurements, which can only be made up to a maximum of 65 light years, cepheid variables can be observed and measured out to a distance of around 20 million light years.

Learn more about Cepheid variable here:

https://brainly.com/question/30005008

#SPJ4

supply drop design proposal

Answers

A box with cotton balls nd pads with a parachute (made of a Walmart bag or sum)

compare the time it takes for light to travel 1000 m on the surface of the earth and in outer space.

Answers

Since light is faster in space, it takes less time for light to travel a distance of 1000m, a time difference of 0.977ns.

Light travels more slowly in a transparent medium than in the vacuum of empty space. The speed of light in any medium (air, water, glass) is determined by the refractive index of the medium. However, this exponent itself may be wavelength dependent (ie different colored rays travel at different speeds). In fact, this is why a prism splits white light into the colors of the rainbow.

The main reason that a light beam slows down in a medium has to do with the fact that the photons, or 'raw light beams', are excited by an electromagnetic field. When the field is in the ground state (vacuum), these excitations actually propagate at the vacuum speed of light. However, when there are positively charged atoms and negatively charged electrons, the electromagnetic field does not go to the ground state. There are many virtual photons. Yes, some of the photons of the passing light beam can be absorbed. After all, no material is completely transparent. But even those who aren't are moving in an environment so different from the vacuum that their paths will be different. It also depends on the structure that the molecule forms.

Learn more about light here:

https://brainly.com/question/19697218

#SPJ4

What is the internal energy of 4moles of oxygen molecules at 25degree

Answers

The internal energy of n moles of a gas is u= 1/2nFRT

where F = number of degrees of freedom.

The internal energy of 4 moles of oxygen at temperature T is  =

u = 1/2  × 4 × 5RT = 10RT            (F=5 for oxygen molecule)

T (temperature) given = 25 degree

u = 10 * R * 25 = 250 R

R = 8.314

Thus, total internal energy = 250 * 8.314 = 2078.5 Joules

Read more about Internal Energy Of Molecules:

https://brainly.com/question/16996074

https://brainly.com/question/29737955

Two frequency generators are creating sounds of frequencies 460 and 471 Hz simultaneously. Randomized Variables f1 = 460 Hz f2 = 471 Hz Part (a) What average frequency will you hear in Hz?

Answers

The average frequency will be 465.5 Hz.

The frequency of light can be described as the number of waves passing through a point in a medium (or vacuum) per second.

It is measured in units of Hertz (Hz). Electromagnetic radiation propagates through space as a wave, and one type of radiation differs from another in the frequency of this wave. Electromagnetic radiation is categorized using the electromagnetic spectrum, which is usually organized by frequency.

Frequency generated by generator 1 = f1 = 460 Hz

Frequency produced by generator 2 = f2 = 471 Hz

the average frequency will be (f1 + f2) / 2

f1 + f2 = 460 + 471

f1 + f2 = 931 Hz

Average frequency = A = 931/2

A = 465.5 Hz

The average frequency we hear will be 465.5 Hz.

To know more about frequency,

https://brainly.com/question/14435324

#SPJ4

A 2150 kg drawbridge, 8.74 m long, is held up by a chain attached to the end. The chain makes a 51.0 degree angle. What force does the chain exert? (Don't forget: w=mg, at the center of the object.) (Unit = N)​

Answers

The force exerted on the drawbridge by the chain is determined as 16,374.5 N.

What is the force exerted by the chain?

The force exerted by the chain on the drawbridge is calculated by applying Newton's second law of motion as shown below.

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

F  = ma

where;

m is the mass of the objecta is the acceleration of the object

The force the chain exerts on the drawbridge is calculated as follows;

F = mg sinθ

where;

m is the mass of the drawbridgeg is acceleration due to gravityθ is the angle of inclination of the chain

F = ( 2150 kg ) ( 9.8 m/s² ) x sin (51)

F = 16,374.5 N

Thus, the force exerted on the drawbridge by the chain is equal to the reaction of the drawbridge on the chain.

Learn more about force exerted here: https://brainly.com/question/388851

#SPJ1

a long, straight, thin-walled cylindrical shell of radius r carries a current i. find the magnetic field outside the cylinder (r > r) and inside the cylinder (r < r).

Answers

The magnetic field inside the cylinder is zero and outside the cylinder is

B = μ₀ I/(2*π*r)

The circulation of the magnetic field along a circular path of radius, r , is given by:

⇒ B cosθ (2* π* r)

where,  cos θ  is  1  if the field forms circles. Now that the Amperian loop is closed, we may analyze the current inside of it. The net current that travels across the surface defined by the Amperian loop determines the enclosed current. The enclosed current is denoted by the letter I since the loop completely encloses the wire. Making use of Ampere's Law,

B cosθ (2* π* r) = μ₀ I

Since, the right-hand side of the equation is not zero at this moment, it is obvious that cos cannot be zero. As a result, we can draw the conclusion that, as we had previously predicted, the magnetic field must form concentric rings. The magnetic field's strength is determined by:

B = μ₀ I/(2*π*r)

To know more about magnetic field:

https://brainly.com/question/13150948

#SPJ4

Matt Calvani hits a golf ball with an initial velocity of 88m/s at an angle of 10° with the ground.

(a) Find the total flight time of the golf ball.

(b) Find the range of the golf ball

(c) Find the speed of the golf ball at the instant before it hits the ground

Bonus +3) Find the maximum height above the ground that the ball reaches

Answers

A golfer travels 80 meters horizontally when striking the ball. The ball took 1.8 seconds to go through the air. Using a 10° angle with the ground or an initial velocity exceeding 88m/s, Matt Calvani smashes a golf ball.

What is an easy way to define velocity?

A particle or object's displacement with regards to time is expressed vectorially as velocity. The meter per second (m/s), also referred to as speed, is the accepted unit of velocity magnitude.

What do you call 0 velocity?

From the pickup location to the destination, passenger cars are driving. uniform constant velocity motion The term "zero uniform velocity motion" refers to uniform motion with no acceleration. given that

To know more about velocity visit;

https://brainly.com/question/18084516

#SPJ1

What is the Force of Gravity acting on the object in the diagram?

Answers

The force of gravity acting on the 23 Kg object in the diagram is 225.4 N

How do I determine the force of gravity?

The force of gravity is defined as follow:

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

Using the above formula, we can easily obtain the force gravity acting on the 23 Kg object. This is shown below:

Mass (m) = 23 KilogramsAcceleration due to gravity (g) = 9.8 m/s²Force of gravity (F) =?

Force of gravity (F) = mass (m) × acceleration due to gravity (g)

Force of gravity = 23 Kg × 9.8 m/s²

Force of gravity = 225.4 N

Thus, from the calculation made above, we can conclude that the gravitaional force is 225.4 N

Learn more about force:

https://brainly.com/question/12163222

#SPJ1

programmable array logic (pal) has fixed or and programmable and array gates.group of answer choicestruefalse

Answers

Programmable Array Logic (PAL) has a programmable AND array and a fixed OR array.

Programmable Array Logic (PAL)  is a logic device.

It is used to implement a logical function.It is an easy to use device because only AND gates are programmable, but it has a limited programming for AND gate.A PAL consists of a small programmable read-only memory (PROM) and additional output logic used to implement the specific logic function required with limited components.In PAL, a programmable AND gate is followed by a fixed OR gate.A typical PAL IC may have eight inputs, eight outputs, and eight sections, each consisting of eight wide AND-OR arrays.

Hence PAL has programmable AND array and a fixed OR array.

To know more about Programmable Array Logic,

https://brainly.com/question/14405434

#SPJ4

the tension in the horizontal cord must be greater than the tension in the slanted cord. t/f

Answers

The tension in the horizontal cord must be greater than the tension in the slanted cord. (False)

Tension:

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire. Every physical object in contact with another one applies some force to that object.

The tension exerted on an item is determined by adding the products of its mass, acceleration, and gravitational force. It is denoted mathematically as follows:

                                           T = mg + ma

When something or someone pulls on a cord or string, the tension that results is what is being described. In other terms, a cord is considered to be under strain whenever it is being pulled. We always assume that cords and strings are flexible and massless when dealing with issues involving them.

Hence,

         The tension in the horizontal cord must be greater than the tension in the slanted cord. (False)

Learn more about Tension here

https://brainly.com/question/24994188

#SPJ4

Question
A rabbit moves a distance of 85 meters in 13 seconds.

What is the rabbits average speed?
7.26 m/s
0.15 m/s²
6.54 m/s
6.54 m/s²

Answers

Important Formula:

[tex]s=\dfrac{d}{t}[/tex]

__________________________________________________________

[tex]d=85m[/tex] (measured in meters)

[tex]t=13s[/tex] (measured in seconds)

[tex]s=?[/tex] (measured in meters per second; m/s)

__________________________________________________________

[tex]s=\dfrac{d}{t}[/tex]

[tex]s=\dfrac{85}{13}[/tex]

__________________________________________________________

[tex]\fbox{6.54 m/s},\fbox{Option C}[/tex]

A small box of mass m is kicked up an inclined plane with an initial velocity v, and slides up the incline a distance L before it stops. The inclined plane makes an angle a with the horizontal, and the friction coefficient is u. What is the distance L the box slides up the ramp before it stops? (Hint: The known quantities are the mass, the initial speed, the angle, the coefficient of friction, and the acceleration of gravity:{m, Vo, a,u,9). Solve for the distance L in terms of these quantities.)

Answers

Main Answer:

The distance of L is [tex]v^{2} /2g(sin\alpha +ucos\alpha )[/tex]

Explanation:

if the block will slide a distance 'L' then syoped;

The initial velocity given to the block is V m/s

So, Total K.E given will goes to gain in potential energy and work done by friction .

K.E=1/2mv^2

P.E at hight (Lsin[tex]\alpha[/tex]) will be = mgh

And work done by the Friction Force is given as = w.r = force*displacement= - uNL= -uMgGcos[tex]\alpha[/tex]L

so,

KE+WD by friction = gain in P.E

[tex]1/2mv^{2} +(-uMgGcos\alpha L)=MgLsin\alpha \\1/2V^{2} =glsin\alpha +uglcso\alpha \\v^{2} /2= Gl(sin\alpha +ucos\alpha )[/tex]

Hence by solving we get :

[tex]v^{2} /2g(sin\alpha +ucos\alpha )[/tex]=L

So the distance = L

To learn more about Distance related problems click here:

https://brainly.in/question/7737285

#SPJ4

Two long parallel straight wires carry equal currents inopposite directions. At a point midway between the wires, themagnetic field they produce is:
O zero
O non-zero and along a line connecting the wires
O non-zero and parallel to the wires
O non-zero and perpendicular to the plane of the two wires
O none of the above

Answers

The right answer is D, which is non-zero and parallel to the plane of the two wires. When an electric current flows through a solenoid, a magnetic field is produced.

Using the right-hand rule, the magnetic field at the halfway point is inside the paper because of the wire on the left and inside because of the wire on the right. At x=a parallel to the y-axis with z=0, two parallel wires carrying equal currents in opposite directions are set up. When an electric current flows through a solenoid, a magnetic field is produced. Your thumb will be pointing in the general direction of the conventional current when your right hand is wrapped around the solenoid. Your fingers will be pointing in the general direction of the magnetic north pole. By using the right hand rule, it is possible to determine the direction of the cross product as follows: The index finger is pointing in the velocity vector v's direction. The middle finger is used to indicate the magnetic field vector B's direction.

to know more about magnetic field please visit.

https://brainly.com/question/14848188

#SPJ4

What are the x and y components of the plane's velocity?

Answers

The x and y components of the plane's velocity is:

Vx = 38.6 m/sVy = 10.4 m/s

1. How do I determine the horizontal component (Vx) of the velocity?

We can obtain the horizontal component (Vx) of the velocity as illustrated below:

Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Horizontal component of velocity (Vx) =?

Vx = u × Cosθ

Vx = 40 × Cos 15

Vx = 38.6 m/s

Thus, the horizontal component (Vx) of velocity is 38.6 m/s

2. How do I determine the vertical component (Vy) of the velocity?

The vertical component (Vy) of the velocity can be obtained as

Initial velocity (u) = 40 m/sAngle of projection (θ) = 15 °Vertical component of velocity (Vy) =?

Vy = u × Sine θ

Vy = 40 × Sine 15

Vy = 10.4 m/s

Thus, the vertical component (Vy) of velocity is 10.4 m/s

Learn more about vertical and horizontal components of velocity:

https://brainly.com/question/16227265

#SPJ1

The Sun's evolution from youngest to oldest stage is:
A) white dwarf, red giant, main-sequence, protostar
B) red giant, main-sequence, white dwarf, protostar
C) protostar, red giant, main-sequence, white dwarf
D) protostar, main-sequence, red giant, white dwarf

Answers

D) The Sun's evolution from youngest to the oldest stage is protostar, main-sequence, red giant, a white dwarf.

A protostar is the very beginning stage of a star's life. It is a cloud of gas and dust that starts to collapse due to its own gravitational pull. As it collapses, the gas and dust heat up, and eventually, nuclear fusion begins, creating a star.

The main-sequence stage is the longest and most stable period of a star's life. During this stage, the star is converting hydrogen into helium in its core, producing energy and light. This stage can last for billions of years.

Once a star has used up its hydrogen fuel, it enters the red giant phase. This is when the star expands, becoming much larger and much brighter. The star is now converting helium into other elements in its core, such as carbon and oxygen.

For more questions like Sun's evolution click the link below:

https://brainly.com/question/29183349

#SPJ4

The reynolds number is an important number in fluid mechanics. it is the ratio of the intertial forces to viscous forces. T/F

Answers

True. A Reynolds number is an important number in fluid mechanics. it is the ratio of the inertial forces to viscous forces.

The Reynolds number is a dimensionless quantity that is used to determine whether the flow pattern in a pipe is laminar or turbulent. The ratio of inertial forces to viscous forces defines the Reynolds number.

If the value of Nr is between 0 and 2000, the liquid flow is streamlined or laminar. The flow is turbulent above 4000, and the flow of the liquid is unstable between 2000 and 3000, alternating between the laminar and turbulent flow.

For more questions like Reynolds number click the link below:

https://brainly.com/question/12977616

#SPJ4

given the following distances between destination nodes, what is the minimum distance that connects all the nodes? from to distance 1 2 200 1 3 300 2 3 350 2 4 350 3 4 250 group of answer choices 850 900 750 100

Answers

The minimum distance between all nodes is 750.Straight lines are the shortest path between any two places. The formula for measuring distance can be used to get this distance.

What does "shortest path" mean?

The goal of the shortest-route issue is to determine the shortest path between two points. Finding the shortest route between one network node and each of the other nodes is commonly required. The shortest-route method reduces the length of a network's path.

How is the minimum distance calculated?

The formula for the distance between two points (x 1, y 1) and (x 2, y 2) is d = (x 2, x 1) 2 + (y 2, y 1) 2.

To know more about nodes visit:-

https://brainly.com/question/28485562

#SPJ4

A 17,973 g object has an acceleration of 2m/s². What is the net force applied to the
object

Answers

Answer:

According to Newton's second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m .

Explanation:

estimate the radiation pressure due to a 100- w bulb at a distance of 5.0 cm from the center of the bulb. assume that light is complitely absorbed.

Answers

The radiation pressure due to 100w bulb at a distance of 5.0cm from the center of the bulb is  [tex]1.06*10^{-5} N/m^{2}[/tex]

Radiation pressure is the mechanical pressure exerted on any surface due to momentum exchange between an object and an electromagnetic field. It includes pulses of light or electromagnetic radiation of any wavelength that are absorbed, reflected, or emitted by matter of any size.

Calculation :

power out put of the bulb p' = 100 W

distance of the finger from the bulb  [tex]r = 5.0*10^{-2}[/tex]

the radiation pressure is P = I/c   ............. (1)

but intensity I = p'/A

so , eq (1) becomes

P = p'/Ac    .................. (2)

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

                     area [tex]A = 4\pi r^{2}[/tex]

                                 [tex]= (4)*(3.14)*(5.0*10^{-2}m )^{2}[/tex]

                                [tex]= 314*10^{-4}[/tex][tex]m^{2}[/tex]

substitute the given data in eq (2) , we get

radiation pressure P = p'/Ac  

                                    [tex]= (100 W)/(314*10^{-4}m^{2} )(3*10^{8}m/s )[/tex]

                                    [tex]= 1.06*10^{-5} N/m^{2}[/tex]

Learn more about Radiation pressure here :-

https://brainly.com/question/29899039

#SPJ4

if your answer is a vector, give answer in the form ai bj ck with no spaces between symbols.if your answer is a scalar, then give your scalar answer.

Answers

45 NIGHTER

What is a scalar response?

scalar, any physical quantity whose magnitude serves as its sole description.Volume, density, velocity, energy, weight, and time are a few examples of scalars.Other quantities, like as velocity and force are referred to as vectors since they have both direction and magnitude.

How can you recognize a scalar?

While vector quantities have had both magnitude and direction, scalar values simply have magnitude.Time is a scalar that is entirely independent of direction.It lacks direction and just possesses magnitude.Acceleration, displacement, and force all happen in a specific direction.

To know more about physical quantity visit:

https://brainly.com/question/26171158

#SPJ4

how does the final temperature of the gas compare with its initial temperature? express your answer using two significant figures. tcta

Answers

Step 1: Calculate the ratio of the final and beginning temperatures using the ideal gas law solved for temperature.

Step 2: Calculate the ratio after eliminating any constant values.

Step 3:Solve for the final temperature after substituting the beginning temperature into the ratio.

Perfect Gas Law: According to the ideal gas law, a gas's pressure, P, is inversely proportional to its volume, V, temperature, T, and the number of moles it contains, n, in the sample. The equivalent statement is: For these issues, we'll use the ratio of two temperatures. Because the ratio of starting to end volume and pressure will be the same regardless of the units used to express them, the volume and pressure can be expressed in any form. exhibited in (as long as the initial and final of each are expressed in the same units).

PV= nRT

However, for this method to work properly, the temperature must be stated in Kelvin. This is true because Kelvin's zero point is absolute zero. Theoretically, molecules are entirely immobile at 0 Kelvin.

T = PV/nR

The ideal gas law equivalency is used to compute the final temperature in the next two issues.

To know more about temperature

https://brainly.com/question/22542167

#SPJ4

During the collision, the car and truck exert forces on each other. Which of the following is a correct statement about these forces and gives evidence to support this statement? The forces the truck and car exert on each other must be external to the truck-car system because the momentum of the truck changes. B The forces the truck and car exert on each other must be external to the truck-car system because the momentum of the car changes. С The forces the truck and car exert on each other must be external to the truck-car system because the momentum of both the truck and car change. D The forces the truck and car exert on each other must be internal to the truck-car system because the momentum of the center of mass of the truck-car system stays the same E The forces the truck and car exert on each other must be internal to the truck-car system because the momentum of the center of mass of the truck-car system changes.

Answers

The forces the truck and car exert on each other must be internal to the truck-car system because the momentum of the center of mass of the truck-car system stays the same. Option D

What is the Collison?

We know that it is possible for an object to be able to bump into another object when this occurs, we would have to apply the law of the conservation of linear momentum. Recall that from the law of the conservation of linear momentum, momentum before collision is equal to the momentum after collision.

We would also have to consider the fact that the weight of the truck is much lager than the weight of the car. The forces that the two vehicles would exert on each other can not be the same. It is clear that the truck is going to exert more force than the car.

With that said, we must have in mind that the total momentum of the system does not change because we are going to approximate the system to function as a closed system.

Learn more about momentum:https://brainly.com/question/24030570


#SPJ1

a 5 kg block is suspended from the pulley system as shown. pulley a has a mass of 15 kg, a radius of 103 mm, and radius of gyration of 77 mm. pulley b has a mass of 3 kg, a radius of 32 mm, and a radius of gyration of 31 mm. determine the speed of the block after it has decended 3 meters. give your answer rounded to 2 decimal places.

Answers

The speed of the block after it has descended is 3 meters is 3.54 m/s.

To determine the speed of the block after it has descended 3 meters, we need to consider the energy conservation principle. The initial potential energy of the block is equal to the final kinetic energy of the block plus the work done on the block by the pulleys.

The initial potential energy of the block is given by:

U = mgh

where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the block.

The final kinetic energy of the block is given by:

K = (1/2) × m × v²

where m is the mass of the block and v is the velocity of the block.

The work done on the block by the pulleys is given by:

W = F × d

where F is the force exerted on the block by the pulleys and d is the distance traveled by the block.

The force exerted on the block by the pulleys is equal to the tension in the rope. The tension in the rope can be calculated using the following formula:

T = (m × g) / (1 + (Ia/Ib))

where T is the tension in the rope, m is the mass of the block, g is the acceleration due to gravity, Ia is the moment of inertia of pulley A, and Ib.

where I is the moment of inertia, m is the mass of the pulley, and r is the radius of the pulley.

Substituting the given values into the formulas above, we get:

U = 5 × 9.81 × 3 = 146.1 J.

Ia = (1/2) × 15 × (77)² = 70,245 [tex]mm^4[/tex]

Ib = (1/2) × 3 × (31)² = 2,871 [tex]mm^4[/tex]

T = (5 × 9.81) / (1 + (70,245/2,871)) = 33.4 N

W = T × 3 = 100.2 J

K = (1/2) × 5 × v²

Substituting the values for U, W, and K into the energy conservation equation, we get:

146.1 J = 100.2 J + (1/2) × 5 × v²

v² = (146.1 J - 100.2 J) / (1/2) × 5

v² = 45.9 J / 2.5

v = √(45.9 J / 2.5) = 3.54 m/s

Therefore, the speed of the block after it has descended 3 meters is approximately 3.54 m/s, rounded to two decimal places.

Learn more about the speed at

https://brainly.com/question/23403913

#SPJ4

All the following statements are true. Which one makes it possible to learn of the existence of extrasolar planets without seeing the planets themselves?Planets exert gravitational tugs on their stars that cause stars to orbit around the center of mass of their planetary systems.

Answers

Planets exert gravitational tugs on their stars that cause stars to orbit around the center of mass of their planetary systems. is true

What does the term "extrasolar planet" mean?Extrasolar planets, often known as exoplanets, are any planetary bodies outside of the solar system that typically circle stars other than the Sun.A planet beyond the Solar System is referred to as an exoplanet or extrasolar planet. In 1917, the first potential sign of an exoplanet was observed, but it was not taken seriously. In 1992, the first detection confirmation took place. 1988 saw the discovery of a different planet, which was verified in 2003. Telescopes have photographed a small number of exoplanets directly, but the great majority have been discovered via indirect techniques like the transit method and the radial-velocity approach. There are 5,284 confirmed exoplanets in 3,899 planetary systems as of December 1, 2022.

The complete questio is Which one makes it possible to learn of the existence of extrasolar planets without seeing the planets themselves?

To learn more about Extrasolar planets refer to:

https://brainly.com/question/1514493

#SPJ1

In the figure, a climber leans out against a vertical ice wall that has negligible friction. Distance a is 0.945 m and distance L is 1.95 m. His center of mass is distance d = 0.89 m from the feet-ground contact point. If he is on the verge of sliding, what is the coefficient of static friction between feet and ground?

Answers

The coefficient of static friction between feet and ground is 0.2522.

What is static friction?

Static friction is defined as when there is no motion between the two surfaces, the force that one surface applies to another. The friction that exists between two or more objects when they are not moving relative to one another is referred to as static friction.

The coefficient of static friction between his feet and the ground, denoted by the symbol s, determines how to express the frictional force as

fs =μsFN1

The μs can be calculated as

μs = a / √L² - a² x d / L

μs = 0.945 / √(1.95)² - (0.945)² x 0.89 / 1.95

μs = 0.945 / √2.91225 x 0.89 / 1.95

μs = 0.2522

Thus, the coefficient of static friction between feet and ground is 0.2522.

To learn more about static friction, refer to the link below:

https://brainly.com/question/13000653

#SPJ1

_______ drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01% .
1

Answers

1 drink(s) within a 4-hour time span regardless of the height and weight can get you a BAC of .01%.

Even one drink of alcohol can impair your ability to drive. Having more than one drink in his bloodstream puts him in danger and could get him arrested. Failure to pay this will result in a fine of 10% of the service tax. No penalty if service tax and interest are paid within 30 days after the notice is served.

Usually, you can apply the one-drink-an-hour rule without hesitation. So if you have two glasses of wine, you have to wait two hours before going out. Drinking one cup for an hour will give your body time to overcome the other factors above and hopefully bring you to a safe enough alcohol level to drive.

Learn more about A BAC here:- https://brainly.com/question/2231540

#SPJ4

short 10g rope is used to pull a 50g toy across a horizontal surface without friction. if a force of 3.0 x 10 -2 n is applied horizontally to the free

Answers

0.025 N the force of the string on the toy, at the other end of the rope.

What is friction?

Friction is a force that resists the relative motion of two objects that are in contact with each other. It is caused by the interaction of the surfaces of the two objects and the molecules that make them up. Friction can be either static or kinetic. Static friction occurs when the two surfaces are not moving relative to each other, while kinetic friction occurs when the two surfaces are moving relative to each other. Friction is a type of force that can be both beneficial and detrimental.

Mass of the string (m)  = 10 grams or 10⁻² kg

Mass of the toy (M) = 50 g or 5 x10⁻² kg

Mass of the system = M + m

= 10⁻² + 5 x 10⁻²

= 6 x 10⁻²  kg

Force applied (F) = 3.0 x 10⁻² N

Acceleration of toy + string = (0.03/6) x 10⁻²

= 0.5m/s²

Thus force on the toy = 5 x10⁻² x 0.5

= 0.025 N

To learn more about friction
https://brainly.com/question/24338873
#SPJ4

The complete question is as follows:

A short 10g string is used to pull a 50g toy across a frictionless horizontal surface. if a 0.03N force is applied horizontally to the free end, the force of the string on the toy, at the other end, is:

Calibration of a bomb calorimeter is performed with: Select the correct answer below: a. a specific volume of water b. a specific mass of copper c. a reaction with known.
d. manually entered data

Answers

A reaction with a known q, such as a measured amount of benzoic acid ignited by a spark from a nickel fuse wire that is weighed before and after the reaction, is used to calibrate bomb calorimeters.

How is a bomb calorimeter calibrated?

By releasing a known amount of thermal energy through an electric heater and measuring the subsequent rise in temperature, the calorimeter is calibrated. The energy released when a certain amount (for example, 1 mol, 1 g, or 1 L) of a substance burns entirely in oxygen is known as the heat of combustion.

What type of fuel is the reference fuel for bomb calorimeter calibration?

A typical standard used in Bomb calorimeters, which keep a constant volume, is benzoic acid. If. Burning 1.2 g of benzoic acid at a temperature of 24 degrees, with excess oxygen present, releases 31.723 J of energy.

What does calorimeter calibration entail?

When calibrating CALORIMETERS, a known electric current is frequently generated inside of them, and the measuring device is then watched for deflection while the system is in a steady condition. Heat loss along the leads through which the calibrating current is injected could be a drawback for this procedure.

Learn more about Benzoic acid here:

brainly.com/question/24052816

#SPJ1

Other Questions
Your team wins 66 of 82 games. Is this proportional to 99 wins in 125 games? the melodic contour of most melodies tend to follow a narrative curve - a gradual ascent up to a high point followed by a descent to the keynote. Let U = {8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8}, A = {7, 4, 2, 1, 1, 4, 8}, B = {7, 6, 3, 2, 1, 3}, and C = {4, 0, 2, 4, 7}. Use the roster method to write the set. Enter EMPTY or for the empty set.) (a) Find B' (b) Find A' (B C). explain how geographic and environmental factors shaped the development of the south from 1800 to 1848: u.s. companies moving into the international market need to be sensitive to the need for local country or regional responsiveness because of: a. the increasing loss of economies of scale. b. the sophistication of the international consumer due to the internet. c. increasing rejection of american culture across much of the world. d. consumer needs and desires, industry conditions, political and legal structures, and social norms vary by country. there is a type of therapy that allows veterans to navigate through a simulated virtual-reality version of the region where they had their most stressful combat-related experiences, undergoing repeated exposure to the fear-evoking stimuli within the safe context of a therapist's office. under these conditions, some individuals experience gradual reduction of ptsd symptoms. this therapy is referred to as: group of answer choices systematic desensitization therapy. extinction therapy. metal mapping. directed forgetting. ________ hackers are security experts that are paid to hack systems to find security holes for the purpose of preventing future hacking.O Black-hatO Gray-hatO Red-hatO White-hatAnswer: White-hat roasters corporation and outdoor barbecues inc. enter into a contract for a sale of a commercial grill. the contract requires roasters to deliver the goods to speedy delivery company for transport to outdoor. risk of loss passes to outdoor when Who is able to attach a Creative Commons license to their work, thereby allowing others touse it laccording to the privileges allowed described by the license)? 8,000 Total Petroleum Coal Natural gas Cement production Netflux into the atmosphere (total emissions - amount absorbed by sinks) 6,000 4,000 Carbon million metric tons/year) 2,000 1800 1850 1950 1900 Year 2000 Using the graph, determine which year humans first started producing more carbon than could be absorbed by carbon sinks. Choose one: O 1905 1850 O 1970 1900 f real gdp is $300 billion, full employment gdp is $600 billion, and the marginal propensity to consume is 0.75, then congress should What kinds of themes do you notice about the purchases americans make after seeing them on social media? under u.s. gaap, companies can choose which inventory cost flow assumptions? indicate by entering the correct alphabetical answer (a, b, c, d) What should a thesis statement include implementing the requirements of this section. The Director may designate a leadagency and may use interagency working groups to assist in developing and issuing theguidance.2. INTERIM GUIDANCE.-Before the issuance of guidance under paragraph (1), agenciesmay follow the guidance of the writing guidelines developed by the Plain Language Actionand Information Network or guidance provided by the head of the agency that isconsistent with those guidelines.For website pages on tax shelters, the Plain Writing Act requires that which of the following beconsidered?WA. Intended audienceB. Color contrastsC. Intuitive linksD. Detailed informationE. Usability testingXxXX >Question 28The 20th C composer who startled audiences through his use of "serial" music or the 12 Tone Scale.O NijinskyO BeethovenO StravinskyO Schoenberg when aqueous solutions of iron(iii) sulfate and potassium phosphate are combined, solid iron(iii) phosphate and a solution of potassium sulfate are formed. the net ionic equation for this reaction is: Subsidiaries that are located anywhere in the world where they can benefit the organization are called Kyra walks 4m East, 2 meters South, 4 meters West, and finally 2 meters North. What is the correct order of steps to turn water into electrical energy?