Gas in a container is at a pressure of 1.6 x 10^5 pa and a volume of 4.0 m^3 What is the work done on the gas if it is compressed to 1/4 of its initial volume?

An adiabatic process is a thermodynamic process in which there is no heat transfer from the system to the environment; instead, the heat is maintained constant.

Being or having to do with a system of atoms, molecules, colloidal particles, or bigger things that is studied as an isolated group in terms of thermodynamic processes. thermodynamically.

Washing machines, refrigerators, and air conditioners are a few examples of thermodynamic systems. The refrigerant in an air conditioner circulates inside a closed system, changing its pressure at various places to facilitate the transmission of heat.

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The period (T), which is expressed in seconds, is the amount of time required for one full vibration. The frequency of a vibration, for instance, is 10 vibration per second, or 10 hertz, if the duration of a vibrating is 0.1 sec.

T = 1/f, where f is the frequency and T is the period, is the formula for time. = c/f, where c represents wave speed (m/s) as f represents frequency (Hz). Cycles per second (Hz) is the abbreviation for the hertz unit. The equation below describes how electromagnetic waves and sound waves behave.

Solid objects transmit sound the fastest. This is because sound waves can move through a solid medium much more swiftly than they can through a liquid or gas since its molecules are much closer together. In actuality, steel conducts sound waves nearly 17 times more quickly than air.

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The forces that are acting are;

a) 270 N

b) - 270 N

c) -100 N

d) -370 N

What is the normal force?

We have to note that the normal force is the force that is exerted by the box on the object as we can see in the question that have been written. We have to note that from the Newton third law, action and reaction are equal and opposite.

a) The weight of the box can be obtained as = W = mg =  27.0 kg  * 10 m/s^2

= 270 N

b) The normal force that is exerted on the box by the table is equal to the weight of the box but in the opposite direction thus it is -270 N.

c) The 27 -Kg box would exert a normal force of - 100N on the 10 Kg box

d) The table would now exert a normal force of -(27 + 10) * 10 m/s^2

= -370 N

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The change in the internal energy of the gas is -28 J

Internal energy (U) is the total energy of a thermodynamic system, including the kinetic and potential energies of its particles, as well as its internal molecular energy. It is a thermodynamic state function and depends on the temperature, pressure, and other variables that describe the state of a system.

From the statement of the first law of thermodynamics, we know that we have;

ΔU = q + w

Since the heat was given up and work was done q = -ve

w = -ve Hence we have;

ΔU = -15J - 13J

= -28 J

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The length of the path traveled between two points is called distance.

Distance physically can refer to several different things, namely:

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Following are the answers:

1. To calculate the pressure exerted by the water column on the surface of the mercury, we can use the formula:

Pressure = force/area

The force is the weight of the water column and the area is the cross-sectional area of the container.

The weight of the water column is given by the mass of the water times the acceleration due to gravity:

mass = density x volume

volume = area x height

So, mass = density x area x height = 1000 kg/m^3 x pi x (0.025 m)^2 x 0.25 m = 0.196 kg

Weight = mass x acceleration due to gravity =[tex]0.196 kg * 9.8 m/s^2[/tex] = 1.92 N

The cross-sectional area of the container is pi x (0.025 m)^2 =[tex]0.196 m^2.[/tex]

So, Pressure = force/area = [tex]1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 Pa

2. To calculate the density of the oil, we can use the formula:

density = mass/volume

Since the height of the oil column is 0.92 m and the cross-sectional area of the container is 0.196 m^2, the volume of the oil column is 0.196 m^2 x 0.92 m = 0.18012 m^3.

We do not know the mass of the oil, but we can calculate it using the pressure exerted by the oil column on the surface of the mercury:

Pressure = force/area = density x acceleration due to gravity x height

So, density = Pressure/ (acceleration due to gravity x height) = 9.79 N/m^2 / (9.8 m/s^2 x 0.92 m) = 1060 kg/m^3.

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The normal stress is 1292.5 Pa and the shear stress is 330 Pa on the plane at an angle of 50° relative to the principal stress axes.

Shear stress is described as the component of stress coplanar with a material cross section which arises from the shear force, the component of force vector parallel to the material cross section.

We will calculate the major and minor principal stresses:

σ1 = (ob + ja) / 2 + (ja - ob) / 2 * cos(2b)

σ2 = (ob + ja) / 2 - (ja - ob) / 2 * cos(2b)

The normal stress on the plane at angle b can be calculated as:

σ = (σ1 + σ2) / 2 + (σ1 - σ2) / 2 * cos(2b)

The shear stress on the plane at angle b can be calculated as:

τ = (σ1 - σ2) / 2 * sin(2b)

Applying the  formulas, we have:

σ1 = (500 + 1500) / 2 + (1500 - 500) / 2 * cos(2 * 50) = 1000 + 500 * 0.87 = 1000 + 435 = 1435 Pa

σ2 = (500 + 1500) / 2 - (1500 - 500) / 2 * cos(2 * 50) = 1000 - 500 * 0.87 = 1000 - 435 = 565 Pa

σ = (1435 + 565) / 2 + (1435 - 565) / 2 * cos(2 * 50) = 1000 + 435 * cos(100) = 1000 + 292.5 = 1292.5 Pa

τ = (1435 - 565) / 2 * sin(2 * 50) = 435 * sin(100) = 435 * 0.76 = 330 Pa

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Answer:

Heating effects impact the flow of the electricity.

Explanation:

Answer:

Let vector C(x,y) be A-B.

Explanation:

Now the direction is given by: tan-1(y/x)

Use the correct angle on the basis in which quadrant the vector C lies.

Magnitude = sqrt(x^2 + y^2)

The equal and the opposite force is the person's force of gravity pulls up on the elevator. Option A

We know that the elevator is the kind of device that can be used when we are going up or down a high rise building. We have to note that the elevator that we talking about will also work based on the law of Newton.

We have to note that for every force there is an equal and an opposite force and the same is true when you are using the elevator to move up or down as we can see here.

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According to the ideal gas law, 0.588 moles of NH3 gas in a 15.0 L container must be heated to a temperature of 1088.85 K or 815.85°C in order for it to impose a pressure of 3.50 atm.

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The correct answer is a sealed, insulated cooler.

A closed system is a collection of interconnected parts that form a cohesive whole and prevent matter from entering or leaving its boundaries. However, due to thermodynamic laws, no system is truly closed off from all quantities.

Energy and heat can always enter and exit a system. Therefore, a closed system is often described as one that only allows energy or heat to enter and leave, but not matte.

In conclusion, a closed system is a system that is completely isolated from its environment.

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Answer:

235 km/s2

Explanation:

cus mall pods carrying four passengers would accelerate at 2.5 m/s2 until reaching a speed of 330 m/s.

This question is about the acceleration and braking calculations for pods proposed by The Boring Company to transport people between Los Angeles and San Francisco.

Physics - High School

The subject of this question is Physics, specifically dealing with the concept of motion and acceleration. The question presents a scenario where The Boring Company proposes transporting people between Los Angeles and San Francisco in underground tubes using small pods. The question asks for the acceleration and braking calculations for the pods.

Acceleration:

Braking:

By finding the time taken for acceleration and braking, you can determine the total travel time for one pod.

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Answer:

Explanation:

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Answer:

They are used for energy such as electricity

The electric current flows through the circuit is  15 amp.

The resistance of the circuit is 8 ohm.

The rate at which electrical energy is carried over an electric circuit is known as electric power. The watt, or one joule per second, is the SI unit of power. Watts are subject to the same standard prefixes as other SI units: kilowatts, megawatts, and gigawatts are used.

The electric current flows through the circuit is = (1800 ÷ 120) amp

= 15 amp.

The resistance of the circuit is = (120 ÷ 15) ohm

= 8 ohm.

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The definition of the terms will be:

(i) Fluid: A fluid is a substance that continuously deforms (flows) under an applied shear stress. Examples of fluids include liquids and gases.

(ii) Viscosity: Viscosity is a measure of a fluid's resistance to flow. It is defined as the ratio of shear stress to the rate of strain in the fluid.

(iii) Drag Force: Drag force is a force acting on a moving object in a fluid that opposes its motion. It is proportional to the velocity squared of the object and the fluid density.

(i) Fluid Mechanics: Fluid mechanics is the branch of physics that deals with the study of the behavior of fluids at rest and in motion. It covers various topics such as fluid statics, kinematics, and dynamics.

(ii) Fluid Statistics: Fluid statistics deals with the behavior of fluids in terms of the statistical distribution of their properties, such as temperature, pressure, and velocity.

(iii) Fluid Kinematics: Fluid kinematics is the study of fluid motion without considering the forces that cause the motion.

(iv) Fluid Dynamics: Fluid dynamics is the study of fluid motion and the forces that cause the motion. It covers topics such as the conservation of mass, momentum, and energy, and the study of fluid flows, such as laminar and turbulent flows.

(i) Circular Motion: Circular motion is motion in which an object moves along a circular path with a constant speed.

(ii) Rotational Motion: Rotational motion is motion in which an object rotates about a fixed axis.

(iii) v = wr: This equation states that the velocity of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular velocity (w) of the object.

(iv) a = ar: This equation states that the radial acceleration of a point on a rotating object is equal to the product of its radial distance (r) from the axis of rotation and the angular acceleration (a) of the object.

(v) Torque: Torque is the rotational equivalent of force. It is defined as the cross product of the radial distance (r) and the force (F) applied to an object. The mathematical expression of torque is given by τ = r x F, where τ is the torque, r is the radial distance, and F is the force.

Projectile motion is the motion of an object that is projected into the air and then is subject to the force of gravity. To calculate the range (R), time of flight (T), and maximum height (H) of a projectile, the following equations can be used:

R = v0x * T, where v0x is the initial velocity in the x direction and T is the time of flight.

T = 2v0y / g, where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.

H = v0y^2 / (2g), where v0y is the initial velocity in the y direction and g is the acceleration due to gravity.

Bernoulli's equation is a principle that relates pressure and velocity in a fluid system. It states that the pressure of a fluid decreases as its velocity increases. The expression of Bernoulli's equation is given by P + 1/2 ρv^2 + ρgy = constant, where P is the pressure, ρ is the fluid density, v is the fluid velocity, g is the acceleration due to gravity, and y is the height

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As the collision is elastic,  u₁ + u₂ = v₁ + v₂ must be satisfied.

According to the law of momentum conservation, momentum is never created nor destroyed inside a problem domain.

Before collision,

velocity of body A = u₁ velocity of body B = u₂

After collision,

velocity of body A = v₁ velocity of body B = v₂

Hence, according to  law of momentum conservation

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

As the collision is elastic, total kinetic energy is also conserved.

1/2m₁u₁² + 1/2m₂u₂² = 1/2m₁v₁² + 1/2m₂v₂²

This two equation satisfy that:

u₁ + u₂ = v₁ + v₂

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Answer: 70 meters per second = 25550 kilometers per year

70 x 365 (1y) = 25550 (km/y)

The pulling tension  on the sled is 125.44 N.

The pulling tension  on the sled is equal to force of friction acting against the sled since it is moving at a constant velocity.

Mathematically, the formula for the pulling tension is given as;

T = Ff = μmg

where;

The pulling tension  on the sled is calculated as follows;

T = ( 0.2 ) x ( 64 kg ) x ( 9.8 m/s² )

T = 125.44 N

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The engineer should measure the radius of the ball bearings before the pivot has been used.

Given is that an engineer builds a model of a machine pivot. Instead of the two parts of the pivot directly touching one another, they have ball bearings between them.

As an indication of the amount of friction in the pivot, the engineer should measure the radius of the ball bearings before the pivot has been used.

Therefore, the engineer should measure the radius of the ball bearings before the pivot has been used.

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Hold the measurement target between the screw gauge's anvil and spindle while applying light pressure. the main size reading of the a circular scale just before zero.

Vernier calipers can be used for alike external and internal measurements, while screw gauges can only be used for external measurements. A vernier caliper has a minimum count of 0.001 cm while a screw gauge has a minimum count of 0.01 cm.

This metre ruler, commonly known as a metre stick, is used to measure short distances and lengths up with one metre. It is a measuring tool used to determine distances and rule straight lines in engineering drawings, geometry, engineering, printing, and construction.

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According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

A, B, and C are the three positive integers, and the Pythagorean triples are written as a2+b2 = c2. These triples are shown as (a,b,c). Here, the right-angled triangle's base, hypotenuse, and perpendicular are denoted by letters a, b, and c, respectively. The most popular and diminutive triplets include (3,4,5).

O is at a right angle in AOB.

∴ By using the Pythagoras Theorem, (AB) 2 = (OB) 2 + (OA) 2.

∴ He has traveled 5 kilometers.

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Find the duration of time that the stationary observer is measuring. In the formula for the Lorentz factor, = (1 - v2/c2), replace v with the traveling viewer's velocity. The time determined by moving observer is the outcome.

It is theoretically conceivable for passenger in a quickly vehicle to travel into the future inside a brief amount of their own time because to time dilation. When traveling at high enough speeds, the impact is dramatic. For instance, ten years on Earth could be equivalent to one year of travel.

The difference here between elapsed times of two occurrences measured by either traveling relative to one another or by being placed away from gravity mass or masses is referred to as time dilation in the theory of relativity.

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The normal force acting on an astronaut of mass 87.4 kg is -3092.56 N.

The normal force acting on an object is equal to its weight minus the gravitational force acting on it. On Earth's surface, the weight of an object can be calculated as: W = m x g

Where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²).

The weight of the astronaut with a mass of 87.4 kg is:

W = 87.4 kg x 9.8 m/s² = 856.92 N

Since the rocket is accelerating straight up at 45.2 m/s², the gravitational force acting on the astronaut decreases. The net force acting on the astronaut is equal to the normal force.

F = m x a = 87.4 kg * 45.2 m/s² = 3949.48 N

The normal force can be calculated:

N = W - F = 856.92 N - 3949.48 N = -3092.56 N

So the normal force acting on the astronaut is -3092.56 N, directed upward.

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Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second.

The kinetic energy is measured in kilogram-meters squared per second squared.

By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.

Kinetic energy (KE) is defined as the product of the mass of an item multiplied by the square of its velocity. Consider this: The kinetic energy of an object with a mass of 10 kilograms (m = 10 kg) travelling at a speed of 5 m/s (v = 5 m/s) is equal to 125 joules, or (1/2 * 10 kg) * 5 m/s2.

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The velocity of the balls if the collision is perfectly elastic is -0.78 m/s and v₂ = 1.98 m/s.

A state where there is no net loss in the kinetic energy in the system of two objects as the result of the collision is called as an elastic collision.

Inelastic collisions is a type of collision where there is a loss of kinetic energy.

Using the law of conservation of momentum:

m₁u₁ + m₂u₂ = m₁v₁ + m₂ v₂ (u₂ = 0)

5 x 2 = 5v₁ + 7v₂

10 = 5v₁ + 7v₂

v₂ = (10 - 5v₁)/7

Elastic collision so kinetic energy conserved:

1/2 x 5 x (2)²  = 1/2 (5v₁² + 7v₂²)

20 = 5v₁² + 7((10 - 5v₁)/7)²

140 = 35v₁² + 5v₁² + 100 - 20v₁

40v₁² - 20v₁ - 40 = 0

v₁ = -0.78 m/s

The first ball is lighter so its velocity will change direction due to collision.

v₁ = -0.78 m/s

10 = 5(-0.78) + 7v₂

v₂ = 1.98 m/s

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The correct food chain possible in a prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.

Food chain is the flow of energy from one level of source to the other. The prime member in the food chain are plants. Plants are producing energy using photosynthesis.

Only 10 % of energy is transferring to each layer. Remaining are lost to the surroundings. The food chain in each ecosystem is different from the others.

From the given table it is clear among the given choices the possible food chain in the prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.

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Answer:

Explanation:

rubber ball, glass jar, motor oil, and tree