When the temperature of a gas is increased from 27° the average speed of the molecules increases three-fold. Calculate the final temperature of the gas. (prove by calculation)

Since the car is at rest, its starting speed is 0 m/s, its acceleration is 6.8 m/s2, and the distance the car must travel is 340 m. t =100s

An object's initial velocity is the rate at which gravity exerts its first force on it. However, the final mass and velocity quantity that gauges the speed and direction of a moving object after it has reached the maximum level acceleration.

The starting velocity of an automobile is zero while it is at rest. Its initial velocity would be greater than zero if a projectile is thrown into the area. The starting velocity will be greater than zero but will become zero if a car stops after pressing the brakes.

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5.22N is the thrust of the thruster.

The thrust is the force that propels the rocket through the atmosphere and into space. Newton's third law of motion, which states that every action has an equal and opposite reaction, is used to generate thrust by the rocket's propulsion system.

[tex]m_{A}[/tex] = 70kg

M = 110kg

a = 0.029m/s²

[tex]V_{N_{2} }[/tex] = 490m/s

The gas (mass)[tex]d_{m}[/tex] ejected by the thruster and the thrust can now be calculated using the two equations below F:

a = - [tex]V_{N_{2} }[/tex]/m dm/dt (1)

F = - [tex]V_{N_{2} }[/tex] dm/dt (2)

Where,

m = [tex]m_{A}[/tex] +M

m = 70+110

m = 180kg

The entire mass of the astronaut-MMU system is 180 kg.

[tex]d_{m}[/tex] is the fuel's ejected mass

dt =5sec is the window of time during which this occurs

Since the mass of the fuel is so small in relation to the total mass, we must separate from (1) here and assume it to be constant:

dm = -ma/[tex]V_{N_{2} }[/tex] dt

dm = - (180)(0.029)/490 ×5

dm = -0.053kg

The reason for the negative sign is that the ejected mass is moving in the opposite direction from where the astronaut-MMU system is moving. The value of is 0.053 kg, though.

Use equation (2) and the results from the calculation in

F = -490× -0.0593/5

F = 5.22N.

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A roadway yield sign's exterior measurement is 219 centimeters. Consequently, the yield sign is 73 centimeters long on each side.

The perimeter of a given figure is equal to the total length of its sides.

Given that a yield sign's sides are uniform in length As a result, if the yield sign's perimeter is determined, it will be,

The yield sign's perimeter equals x + x + x.

Sphere = 3x

Therefore, if the circumference of a roadway yield sign is 219 centimeters, we can rewrite the circumference as,

Perimeter = 3x

219 centimeter = 3x

x = 219 centimeter / 3

x = 73 centimeter

Consequently, the yield sign is 73 centimeters long on each side.

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(a) Compressor discharge air temperature is 557.56K.

(b) Workback rate is 0.502.

(c) Thermal efficiency is 0.482 or 48.2%.

Solution:

The heat added to the air t the compressor is given by

Process 1 - 2  [tex]\frac{T_{1} }{T_{2} } = (\frac{P_{2} }{P_{1} } ) = (\frac{10}{1}) = 1.93[/tex]  

Therefore T₂ = T₁ × 1.93 = 288.89 K × 1.93 = 557.56 K

(a) the air temperature at the compressor exit is 557.56 K

(b) The back work ratio is given by T₂ -T₁/T₃ -T₄

For the turbine, we have T₃ /T₄ = (rp) = (10)  = 1.93

which gives T₄ = T₃/1.93 = 1111.11/1.93  = 575.705 K

Therefore the back work ratio = [tex]\frac{ 557.56 K -2.88.89k}{1111.11-575.705k}[/tex] = 0.502

(c) The thermal efficiency of a Brayton Cycle is given by

ncycle = [tex]1 -\frac{1}{r-1} = 1-\frac{1}{1.4-1} = 0.482[/tex]

The cycle efficiency = 0.482 or 48.2%

Molecules in a gas move away from each other when heated increasing the space occupied by the gas. As with anything that is pressurized, increasing pressure from the compressor will increase the temperature of the refrigerant. Heat waves are dangerous and can cause illnesses such as heat cramps, heat stroke, and even death. Rising temperatures could also lead to a chain reaction of other changes around the world.

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The same ball can be throw vertically upward height 50.5 m with the same initial velocity.

The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.

Given parameters:

maximum horizontal distance: R = 101m.

The acceleration of gravity: g =  9.8 m/s^2.

We have to find,   maximum vertically upward with the same initial velocity by the ball; H =?

We know that, maximum horizontal distance travelled by a projectile: R = u²/g

So,  u²/g =  101 m.

And, maximum height obtained by a projectile = u²/2g = 101/2 m. = 50.5 m.

Hence, the same ball can be throw vertically upward height 50.5 m with the same initial velocity.

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There is the need for topographic maps to be updated because it makes resources and environment monitoring more significant

This is referred to as a type of map which shows the shape of the Earth's surface through the use of contour lines. The geographical representation is also important in the socio-economic development of a country or place.

In developing countries , there is the need to monitor the resources and environment due to different changes occurring as a result of high human activity influence such as mining, pollution etc in which the government has to discover methods to control it and avoid resources depletion.

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Impulse is the area, under the force curve in a force-versus-time graph.

Impulse is the integral of the force (F) over the time interval (Δt) over which the force acts. As force is a vector quantity so will be the impulse. Impulse applied on an object produces a vector change equivalent to its linear momentum, and the resulting direction is also changed. Impulse is the change in linear momentum of the body.

Two ways to calculate impulse:

Impulse is the area under the curve of a force versus time graph. The area above the time axis is positive Δp and the area below the axis is negative Δp. If the force is not constant, you can divide the graph into sections and add impulse to each section.

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The explanation why Mars today lacks a global magnetic field like that of the Earth is because Mars's interior has cooled so much that its molten core layer no longer undergoes convection.

The Eаrth's mаgnetic field is generаted by the motions of the liquid mаteriаl under the surfаce, pаrticulаrly the outer core. Mаrs, аs а much smаller body, cooled off fаster, аnd this convective motion ceаsed. The mаgnetic field died with it, except for weаk locаl pаtches thаt remаin to this dаy. However, it did hаve а mаgnetic field for а while, which helped retаin wаter аnd аtmosphere just аs it does on Eаrth todаy - something like the first billion yeаrs of its history. This is why it is considered one of the most likely plаces to hаve supported life in the distаnt pаst.

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The numbers of years that Pripyat been unoccupied is 36 years.

"The Chernobyl tragedy damaged the ecology irreparably, and the effects will continue for thousands of years." Due to excessive radiation levels, the area was evacuated, and Pripyat, a once-vibrant city of 50,000 people that included many nuclear plant workers, was left in ruins. Its urban landscape become covered with trees and vines over time.

Therefore, According to experts, the region won't be secure for at least 3,000 years; nevertheless, other people think this estimate is overly optimistic. A 2016 research states that it is anticipated that the reactor site won't be livable for at least 20,000 years.

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16.5 m distance they travel before coming to a stop from the moment they saw the deer.

velocity=25 m/s

time=0.75 sec

acceleration= -8 m/s²

s=vt+at²/2

s=25×0.75-8×0.75×0.75÷2

s=18.75-2.25

s=16.5 m

Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.

The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.

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The minimum distance in which car will stop is  256m.

What is distance?

distance is the length of the space between two points.

Distance is a numerical or its  the occasionally qualitative measurement of how to far apart objects or points .

Sol-here we can apply Newton’s second law to the  car of to determine of the maximum static friction to the force acting on the car:

€Fy=ma^y+ n-mg=0

Fs≤us mg

This maximum magnitude of static friction acts so long as the tires roll without skidding.

€Fx=ma^x-----> -fs=ma

The maximum acceleration is

a=-u^s g

The initial and final conditions are- xi=0, vi=50.0mi/h =22.4 m/s and vf =0.Then,

v^2=v^2+2a(xf-xi)---->v^2

     f          i                                       I

Xf=(22.4m/s)^2/2(0.100)(9.80m/s^2)=256

Thus through the minimum distance in which car will stop is 256m.

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The demonstration shows that white light is made up of different colors. When the white light hits the prism, it is bent at different angles because the different colors are refracted at different angles.

This is why the different colors come out of the prism at different angles.This causes the different colors to spread out and appear on the other side of the prism.

The different colors come out of the prism at different angles because they are refracted at different angles. This is because each color has a different index of refraction. The index of refraction is the ratio of the speed of light in a vacuum to the speed of light in a medium.

Each color has a different index of refraction because they each interact with the medium differently. This is why the different colors spread out and appear on the other side of the prism.

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The disk falls straight down into the glass due to inertia. Therefore, option (B) is correct.

The Law of inertia can be described as an object will continue to be in a state of rest or in motion unless an external force applies to it. All objects will come to rest and moving objects will continue to move in the absence of external power.

When the resistance is given by the body to continue to be in motion until an external force applies to it. Inertia s the reason the body to continue the motion in the same direction in the absence of external force. Inertia depends on density and mass, not on velocity.

When the index card is quickly pulled from the glass in a horizontal direction, the disk falls straight down into the glass as the disk tries to stay at rest due to inertia.

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The impulse on the object with a mass of 5 kg and a velocity of 5 m/s is 25 kg m/s. The result is obtained by using the Impulse-Momentum Theorem.

The Impulse-Momentum Theorem states that impulse of an object equals to the change of the momentum. It can be expressed as

I = Δp

I = mΔv

Where

If an object has a mass of 5 kg and moves from rest to a velocity of 5 m/s, what is the impulse?

Since the object moves from rest, the initial velocity of the object is 0.

The impulse is

I = mΔv

I = 5 kg × (5 m/s - 0)

I = 5 kg × 5 m/s

I = 25 kg m/s

Hence, the impulse on the moving object is 25 kg m/s.

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The speed of the 100 g ball if the 100 g ball and a 200 g ball are connected by a 30 cm long massless rigid rod and if the balls rotate about their center of mass at 120 rpm is 2.5 m / s

Xcm = m1 r1 + m2 r2 / ( m1 + m2 )

Xcm = Center of mass

m1 = Mass 1

m2 = Mass 2

m1 = 100 g

m2 = 200 g

The center of mass of the two balls measured from the 100 g ball,

Xcm = [ ( 100 * 0 ) + ( 200 * 30 ) ] / ( 100 + 200 )

Xcm = 6000 / 300

Xcm = 20 cm

v1 = r ω

v1 = Speed of m1

r = Distance about which the balls rotate

ω = Angular velocity

r = 20 cm = 0.2 m

ω = 120 rpm

ω = 120 * 2 π / 60

ω = 12.56 rad / s

v1 = 0.2 * 12.56

v1 = 2.5 m / s

Therefore, the speed of the 100 g ball is 2.5 m / s

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The Speed of waves is 640L.

Given

The frequency of string is 320 Hz.

To find at what speed v do waves move along that string , we can use following equation-

[tex]f=\frac{V}{2L}[/tex]

Frequency means reciprocal of time period , i.e. a parameter that decides quality factor of sound / harmonics.

f , V , L represents frequency , speed and length of string.

[tex]V=2Lf[/tex]

V= 2L(320)

V= 640L

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The bowling ball’s acceleration is positive as it rolls toward the pins.

What is bowling?

One of the most well-liked leisure activities in the world is bowling, sometimes referred to as "tenpins." To knock down ten pins, players roll a large ball down a lane. Many bowlers compete in amateur or professional bowling leagues, and it is regarded as both an individual and a team sport.

Although the ball is descending with a negative velocity, it is slowing down. hence, for the ball to slow down, the velocity must rise. Let the ball's initial speed, for illustration purposes, be -15 m/s. and it is reducing its speed to, say, -13 m/s. This indicates that its speed has increased by 2 m/s. Its acceleration is therefore positive.

Hence, the bowling ball acceleration is positive.
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If light and sound travel from point A to point B and start at the same time, then Light will reach point B first as the speed of light is much greater than that of sound.  

Light is an electromagnetic wave that can travel in a vacuum as well. It does not require any medium for transference. Light is a transverse wave, that is, the medium moves in the direction perpendicular to that the direction of propagation of the wave.

The speed of light in a vacuum is  3 × [tex]10^{8}[/tex] m/s

Sound is a longitudinal wave, and the direction of disturbance is parallel to the propagation of the wave. It cannot travel without a medium.

The speed of sound is maximum in air.

Speed of sound in air = 343 m/s

Thus, The speed of sound is greater than that of sound. So, the light will reach first.

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Energy is transferred to the charge is 120J

What is energy?

Energy is a general term that we use frequently in our daily lives. Although the term "energy" is frequently misused, it has a specific physical meaning. In physics, energy is defined as something's ability to accomplish work. Energy can take various forms. All energy is either kinetic or potential. Let us take a closer look at what energy is and the many sorts of energy in this post.

On Earth, there are various types of energy. On Earth, the sun is considered the elemental form of energy. Energy is a quantifiable property in physics that can be transferred from an item to perform work. As a result, we can define energy as the ability to perform any type of physical activity.

According to the laws of energy conservation, "energy cannot be generated or destroyed; it can only be transformed from one form to another." Joule is the SI unit of energy. One of the fundamental rules of physics is the law of energy conservation. It regulates the movements of individual atoms in a chemical process at the microscopic level. According to the rule of conservation of energy, "the entire energy of the system is conserved in a closed system, i.e., a system that is separated from its surroundings." Even when energy transformation happens, the overall energy in a system is conserved, according to the law. Energy can't be created or destroyed.

E = Q X V

E=10X12

E=120J

Therefore, energy is transferred to the charge is 120J

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The recurrence interval is equal to (N + 1)/M where N is the number of years of flood records and M is the numerical rank of each year’s maximum flood discharge.

Thus, the correct answer is A.

In eаch of the two аrrаys, the аnnuаl series аnd the pаrtiаl-durаtion series, the tаbulаted floods were numbered in order of their mаgnitude, beginning with the biggest. The recurrence intervаl of eаch flood wаs then computed by the formulа T = (N + 1)/M for determining plotting position, in which T is the recurrence intervаl in yeаrs, M is the relаtive mаgnitude of the flood, аnd N is the totаl number of yeаrs. This formulа is bаsed on the premise that for any number of item (N) in аn аnnuаl series there аre N + 1 intervаls into which аny subsequent flood will fаll.

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The type of government the city of Springfield using is council Management system.

The council management government is a form of local government used for municipalities, counties, or other equivalent regions.

The basic structural feature of council- manager structure include a city or town council elected by the voters to exercise overall control of the local government and a chief executive- the city/town manager- appointed by and is totally responsible to the council.

The elected city council members represent their community and develop a long range visions for its future. They establish policies that affects the overall operations of the community and are responsive to residents needs and wishes.

it most resembles the structure of the federal government

The city benefits from the council management form of government in many ways like -

1. The manager carries out the policies which is established by the elected governing body.

2. Here the decisions on policy and the future of the community are made by the entire governing body rather than a single individual

3. The manager carries out the policies established by the elected governing body with an emphasis on effective, efficient and equitable service.

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If a boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore, the raft will move towards the shore.

According to law of conservation of momentum, the total linear momentum of a closed system remains constant. Initially the raft is at rest, so the magnitude of momentum is zero. Because,

p = m v

p = Momentum

m = Mass

v = Velocity

If v = 0, p = 0

According to law of conservation of momentum, the final magnitude of this must be zero. So if the boy walks away from the shore, the raft must move towards the shore to maintain this zero magnitude.

Therefore, if a boy standing at one end of a floating raft that is stationary relative to the shore walks to the opposite end of the raft, away from the shore, the raft will move towards the shore.

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Kinetic energy is twice the potential energy.

A pole vaulter has kinetic energy when running forward. When a pole vaulter lowers the pole and jumps, it slows down and bends the pole. Their kinetic energy is transformed into polar elastic potential energy. When the pole is raised, the pole vaulter is lifted higher. After the start, the athlete and pole rotate around his starting box, converting some of the athlete's kinetic energy into gravitational potential energy. Also, during the jump, the momentum of the athlete causes the pole to flex, temporarily storing elastic stretch energy in the pole.

Mechanical energy depends on the position and motion of an object, and its force is the sum of kinetic energy (kinetic energy) and stored (potential) energy. That is, mechanical energy is produced when the potential energy of an object combines with its kinetic energy.

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Yes, friction plays a role. Yes, I believe that proven conservation of energy and conservation of work-kinetic energy and the work-kinetic energy theorem.

The work-energy theorem, or the work-kinetic energy theorem, as I prefer to call it, says

Wnet=ΔK

Where K is kinetic energy and W represents work.

We require a comprehensive summation of all forces acting on an object, whether positive or negative, to obtain a reliable value for Wnet. Whatever is left after subtracting the losses (negative work such as friction) and any positive work done by the motive forces is given as the change in kinetic energy of the object.

Overall, energy is saved. According to this theorem, when an object slows down, its final kinetic energy is less than its initial kinetic energy, the change in its kinetic energy is negative, and so is the net work done on it. If an object accelerates, the net work done on it is positive. When calculating the mesh, you must include all the forces acting on the object.

If you omit any forces that act on the object, or if you include any forces that do not act on it, you will get the wrong result. The importance of the work-energy theorem, and the other generalizations it leads to, is that some types of calculations are much simpler than trying to solve Newton's second law.

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The angle that must the arrow be released to hit the bull's eye if its initial speed is 35.0 m/s is 18.435°.

Velocity is the time price at which an item is transferring alongside a course, even as speed is the price and route of an item's movement. positioned some other way, velocity is a scalar fee, even as speed is a vector.

Calculation:-

here R = 75 m and u = 35 m/s

R = u²nsin2θ/g

therefore , 75 = (35)²sin2θ/9.8

⇒ 2θ = sin⁻¹(75 × 9.8/35²) = 36.87°

⇒ θ = 36.87/2 = 18.435°

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If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be  Decreased and the resonant frequency would be unchanged.

What is frequency?

Frequency is the rate at which something occurs over a particular period of time or in a given sample.

Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.

It is defined as-

XL= 2πfL

Xc= 1/2πfC

So when reactance are equal we have-

XL=Xc

2πfL= 1/2πfC

f^2=1/4π^2LC

f=1/2π√LC

The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.

The impedance of a parallel LC circuit is:

Z(w)= jL w^2-w^2•/w

In a series LC circuit, when w

, the impedance becomes equal to 0.

Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.

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The kinetic energy flying with a speed 200 m/s is gJ is 16gJ.

The gravitational potential energy of an object is directly proportional to its height above the zero position.

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational capacity electricity. A tripling of the height will bring about a tripling of the gravitational ability electricity.

Calculation:-

mass = 80 metric ton = 8000 kg

Kinetic energy = 1/2mv²

= 1/2 × 8000 × 200²

= 4000 × 200 × 200

= 160000000 J

Opposite to potential energy, the kinetic energy of an object is relative to different stationary and shifting items found in its immediately environment. as an instance, the kinetic energy of the item may be better if the object is located at a more height.

If the tennis ball is dropped from a bigger height, the share of potential energy misplaced may be greater because the ball will fall a for a longer quantity of time, which means it will lose extra electricity via air friction and from the bigger effect of the ground.

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Disclaimer:- your question is incomplete, please see below for the complete question.

does it take more energy to go fast or go high? an 80 metric-ton airplane is flying with speed 200 m/s at a height of 11 km. the energy from the ground up to this height was provided by fuel. find the airplane: kinetic energy in gj. gravitational potential energy in gj (ground as zero).

A.True

B. False

Answer:

Once the fridge is moving you are still applying the same push force but now the opposing friction (now kinetic) force is less.

Answer:

Below

Explanation:

Throw it faster    and closer to 45° to get the furthest horizontal distance

Distance does the car cover over this time is 150 meter.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given that car moving with the initial velocity of 30 m/s slows down at a constant rate of -3 m/s².

Using equation of motion

v² = u² +2as

s = -u²/2a

s = 30²/2.3

s = 150 meter

Distance does the car cover over this time is 150 meter.

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