________ are designed to smother a small fire and are very useful in putting out a fire on a person.

Answers

Answer 1

An extinguishing agent, including such water or chemicals, is stored in a fire extinguisher. It is not intended to put out a large fire, only a small one.

How do fire extinguishers function?

To burn, fire needs fuel, heat, and oxygen. In order to stop a fire from spreading, fire extinguishers use a substance to reduce the heat of the flames, smother the fuel, or cut off the oxygen supply. If used by a trained person, a portable fire extinguisher can quickly put out a small fire.

Why is the red fire extinguisher?

First off, red is the color linked to both danger and fire, making fire extinguishers an obvious association. Second, red is the color that is easiest to see, particularly in darker settings like a smoke-filled

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Related Questions

Measuring 27ml of liquid (daudgtear idnreiyc)?

Answers

Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.

Why would someone use a graduated cylinder?

Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.

With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.

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You and your friend, who weighs the same as you want to go to the top of the Eiffel Tower Your friend takes the elevator straight up. You decide to walk up the spiral stairway, taking longer to do so. Compare the gravitational potential energy of you and your friend, after you both reach the top. Your gravitational potential energy is greater than that of your friend, because you traveled a greater distance in getting to the top. Your friend's gravitational potential energy is greater than yours, because he got to the top faster Both of you have the same amount of gravitational potential energy at the top. Dit is impossible to tell, since the times you both took are unknown Impossible to tell since the distances you both traveled are unknown

Answers

You and your friend will have the same potential energy at the top of the tower because gravitational potential only depends on height and not on how an object got there.

What does potential energy mean?

The power that a substance retains as a result of its position in relation to other things, internal pressures, electric charge, or other substances is known as potential energy in physics. Potential energy is a form of energy that is stored but is dependent on the interactions of different system components.

A steel ball has more potential energy if it is raised above the ground as opposed to dropping to it. The energy that is present in everything that is raised from rest and has the potential to be released at a later time is known as potential energy.

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This problem contains several examples of this.Consider an object sliding on a frictionless ramp as depicted here. (Figure 1) The object is already moving along the ramp toward position 2 when it is at position 1. The following questions concern the direction of the object's acceleration vector a_vec. In this problem, you should find the direction of the acceleration vector by drawing the velocity vector at two points near to the position you are asked about. Note that since the object moves along the track, its velocity vector at a point will be tangent to the track at that point. The acceleration vector will point in the same direction as the vector difference of the two velocities.
Which direction best approximates the direction of a_vec when the object is at position 2?
a. straight up b. upward to the right c. straight down d. downward to the right

Answers

This problem contains several examples of this.Consider an object sliding on a ramp as depicted here.Downward to the right.

What is the sliding ?

Sliding is a type of motion that involves the movement of an object relative to a surface while keeping contact with it. This type of motion is often used in everyday activities such as walking, running, and skiing. Sliding can also refer to the movement of two or more objects in contact with each other, such as a car door sliding open or a sheet of paper sliding across a table. In physics, sliding is considered to be a type of frictional motion, in which the frictional force between the object and the surface it is sliding on causes the object to move.

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Using the principle of conservation of energy and the final height the golf ball reaches after bouncing, determine the theoretical speed with which the ball must have left the floor (i.e on its way back up).

Mass: 0.0453kg
Initial height: 1m
Initial potential energy: 0.444J
Final height: 0.61m
Final potential energy: 0.271J
Efficiency: 61.0%

Answers

Answer:

2.58 m/s

Explanation:

To determine the theoretical speed at which the golf ball must have left the floor, you can use the principle of conservation of energy, which states that the total energy in a closed system remains constant. In this case, we can use the fact that the ball's potential energy changes as it rises and falls.

First, we know that the efficiency of the ball is 61.0%, so we can assume that 39% of the energy is lost as heat, sound, etc. We can calculate the initial kinetic energy (Ei) of the ball as:

Ei = Efficiency * (Initial Potential energy - Final Potential energy)

Ei = 0.61 * (0.444 - 0.271) = 0.119J

Now, we can use this value to calculate the velocity (Vi) of the ball as it left the floor, by using the equation of kinetic energy:

Ei = 0.5 * m * Vi^2

Where:

m = mass of the ball = 0.0453 kg

Vi = velocity of the ball when it left the floor

By substituting the values in the equation we get:

0.119 = 0.5 * 0.0453 * Vi^2

Solving for Vi:

Vi = sqrt(0.119 / (0.5 * 0.0453))

Vi ≈ 2.58 m/s

So, the theoretical speed with which the ball must have left the floor is approximately 2.58 m/s

Keep in mind that this is a theoretical speed and there may be a variance with real-world observations.

Three 3. 0g {\rm g} balls are tied to 80-cm {\rm cm}-long threads and hung from a single fixed point. Each of the balls is given the same charge q q. At equilibrium, the three balls form an equilateral triangle in a horizontal plane with 20 cm {\rm cm} sides.

What is q?

Answers

Wave amplitude at a specific distance is charged (r). It can be expressed as energy; however Coulomb's law says that it is frequently described as a force.

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively. Subatomic particles or matter particles are examples of the different forms of charges: Positive charge characterizes protons. Negative charge characterizes electrons.

Tcosθ=mg \sTsinθ=Fe\stanθ=

mg \sFe

​∵ Fe= \sr \s2

Kq \s2

Fe= \s(2d) \s2

Kq \s2

Fe=4.l2 sin2 Kq2

"tan" equals "4l 2 sin 2 mg Kq 2"

equals (4l 2 sin 2 mg)4 0

​q \s2​

Q 2 equals (4mgl 2 sin 2 tan).

4πϵ \s0

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A plane can fly 3952 kilometers in 3 hours. If the plane flies in
cloudy skies, it can fly 184 less kilometers than usual within the
same time. What is the speed for the plane flies in cloudy
skies?

km/h

Answers

Speed is a scalar quantity that is independent of direction. It is equal to the total distance traveled divided by the total time spent. This means that a plane can normally travel 3952 kilometers in three hours.

How is the total distance traveled calculated?

Step 1: Make a note of each time the direction changes. Step 2: Determine the distance traveled between each change in direction. Step 3: The total distance traveled is the sum of all the distances from step 2.

As a result, its typical speed is Speed = total distance / total time Speed = 3952 / 3 Speed = 1317.33 km/h.

However, under cloudy conditions, it will travel 184 km less in the same amount of time.

Then, we want to determine the speed under cloudy conditions. Since speed is equal to the total distance divided by the total amount of time, we need to know the total distance under cloudy conditions.

Total distance is equal to the normal distance traveled minus the delay caused by cloudy conditions Total distance. = 3952 - 184 Total distance = 3768 km Total time = 3 hours Speed = 3768 / 3 Speed = 1256 km/hr The plane is traveling at a speed of 1256 km/hr in cloudy conditions. Because it covered less ground in the same amount of time, its speed decreases.

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The internal energy within a system associated with the motion of particles and that can be added to a substance is called _____.(1 point) electrostatic forces electrostatic forces temperature temperature thermal energy thermal energy kinetic energy

Answers

Thermal energy is the internal energy that exists in a system and is connected to the movement of the particles and can be contributed to a substance.

Describe thermal energy.

The energy in such a system that regulates its temperature is referred to as thermal energy. The exchange of thermal energy is referred to as "heating." Thermodynamics, a whole field of physics, is the study of how heat is transmitted between various systems and how work is performed in the process.

Describe motion.

In physics, motion is a variation in an object's position with respect to its surroundings over a predetermined amount of time. To describe how an object travelling with a specific mass moves, use the terms below: Distance. Displacement. Speed.

So-called thermal energy is the internal energy present in a system that is connected to particle motion that can be given to a substance.

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What are the 4 components of latency?

Answers

The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.

What constitutes latency?

The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.

How many different kinds of delay exist?

Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.

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How far up a wall will a 25 ft ladder reach if the base of the ladder is 7 feet from the wall?

Answers

The height formed by this 25-foot ladder that leans against a wall is 24 feet.

To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.

Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:

(25 ft)^2 = h^2 + (7 ft)^2

625 = h^2 + 49

576 = h^2

h = sqrt(576) = 24 ft

Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.

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Describe a method that can be used to open a tight lid of bottle without damaging it

Answers

Answer:

But the safest way to loosen a tight cap may be to run hot water on it so that it expands slightly.

Explanation:

ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a

Answers

The angular velocity of a point on the surface of the earth is [tex]7.3 * 10^{-5} rad/s[/tex]

What is angular velocity?

Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What is angular velocity and write its formula?

Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.

Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day

1 day = 24x60x60

1 day=86400s

Angular velocity is given by :

[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]

Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.

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A crate of eggs is located in the middle of a pickup truck as the truck rounds a corner in the road. The curve has a radius of 35 m. If the coefficient of static friction between the crate and the truck is 0.600, how fast can the truck move without the crate sliding

Answers

The speed of the truck is 14.3m/s without the crate sliding.

What is the equation for static friction?

The resistive friction force (Fr) multiplied by the usual or horizontal pressure (N) pushing the things together yields the frictional coefficient (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

Calculation -:

Call the mass of the egg crate m. The forces on it are its weight Fg =mg vertically down, the normal force n of the truck bed vertically up, and static friction (fs) directed to oppose relative sliding motion of the crate on the truck bed. The friction force is directed radially inward. It is the only horizontal force on the crate, so it must provide the centripetal acceleration. When the truck has maximum speed, friction fs will have its maximum value with fs=μn.

Newton’s second law in component form becomes

∑Fy=ma(y) giving  n−mg = 0  or  n = mg

∑F(x)=ma(x) giving f(s)= ma(r)

From these equations

μ(s)n ≤ mv²/r and μ(s)mg ≤ mv²/r

The mass divides out. The maximum speed is then

v≤[tex]\sqrt{}[/tex]μrg =[tex]\sqrt{}[/tex]0.600(35.0m)(9.80 m/s²) = v ≤1 4.3m/s.

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Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.

I NEED THIS ASAP

Answers

3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.  

Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:

First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.

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A car accelerates uniformly from 20mph to 50mph in 3 seconds. What is its acceleration during this time

Answers

A = (v-u)/t, where an is acceleration, v is final speed, u is initial speed, and t is time, is the equation for acceleration. When the values are filled in, we obtain a = (60-20)/5 or an is 8 m/s2.

How is acceleration determined?

The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).

How quickly does the time go from 0 to 2 seconds?

+2 m/s2

If there is no change in velocity between 2 and 3 seconds, the acceleration is 0 m/s2. The acceleration is +2 m/s2 over the first 0 to the second interval. The acceleration is zero between seconds two and three. The acceleration is -3 m/s2 throughout the three to six-second period.

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Under certain circumstances, the grounded (neutral) conductors of a residential service ____ permitted to be sized smaller than the phase conductors.

Answers

Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.

What is conductors?

A material that easily permits the flow of electricity is referred to as an electrical conductor. Conductivity is the quality of conductors that enables them to conduct electricity.

Electric current is the name given to the movement of electrons through a conductor. Voltage is the amount of power necessary to cause that current to flow through the conductor.

What is phase ?

Phases are parts of a system that are mechanically separable from other parts of the system and are physically distinct from other parts of the system. types of substance. Solid, liquid, or gaseous phases can exist in a system. Strong atomic bonding and high viscosity, which produce a hard form in solids, are their distinguishing characteristics.

Therefore, Under certain circumstances, the grounded (neutral) conductors of a residential service are permitted to be sized smaller than the phase conductors.

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In the above situation, what is the net torque on wire 2 due to wire 1?
a. Up b. Down
c. Into the screen d. Out of the screen e. Zero

Answers

In the above situation the net torque on wire 2 due to wire 1 is Zero.

Which way is the force acting on the wire?

Fleming's left-hand rule identifies the force's direction on a current-carrying wire when it is placed in a magnetic field. It always runs counter to how the magnetic field and electric current are moving.

Directional torque: what is it?

Torque is a vector quantity by definition. The direction is determined as part of the torque computation. The direction is parallel to both the force and the radius from the axis. It is customary to choose it along the rotational axis in the right-hand rule direction.

When rotating clockwise, is torque negative?

a force that is applied that results in a positive counterclockwise torque A negative torque rotates an object in a clockwise direction.

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In general, how can you calculate the distance of object B from the fulcrum so that it balances object A

Answers

The formulas F(A)×R(A) = F(B)×R(B) should be used to determine the distance of item B from the fulcrum such that it balances object A. where F is the object's force and R is the object's distance from the fulcrum.

What does "force" actually mean?

The push or pull that causes a massed body to change its speed is the definition of force. An agent with the ability to change a body's rest or moving condition is known as an external force. It has a magnitude as well as direction.

How come forces occur?

Forces are created by the interactions between two (or more) objects. There is a similar but opposing force acting on each individual on the other. External forces are what cause the item to move.

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Evaluate the numerical value of the vertical velocity of the car at time t=0. 25s using the expression from Part D, where y0=0. 75m, α=0. 95s^−1, and ω=6. 3s^−1

Answers

The numerical value of the vertical velocity of the car at time t=0 is 4.91 meters per second.

Given,

t = 0.25 s

y = 0.75 m

α = 0.95 rad/s²

ω = 6.3 rad/s

Wf=6.54 rad/sec

V=wr

6.54*0.75

V=4.91 m/s

The classic example of independent motions along different axes is projectile motion. Projectile motion is the combination of two separate linear motions. The horizontal motion doesn’t affect the vertical motion, and vice versa. Since there is no acceleration in the horizontal direction (ignoring air resistance), the projectile moves with constant velocity in the x direction.

If an object slides down a friction less plane inclined at angle θ, the acceleration down the plane is g sin θ, because the component of g (the downward acceleration due to gravity) that points along the plane is g sin θ. (There is no acceleration perpendicular to the plane because the normal force from the plane cancels the component of the gravitational force perpendicular to the plane.

Another type of 2-D motion is circular motion. If an object is moving in a circle of radius r with speed v at a given instant, then the (inward) radial component of the acceleration vector a equals. This radially inward acceleration is called the centripetal acceleration. If additionally the object is speeding up or slowing down as it moves around the circle.

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Caffeine dosage causes a change in the time to finish a maze and it isn't possible for that the time to finish a maze could cause a change in

caffeine dosage.

Answers

Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.

Caffeine Maze Time Impact

Caffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.

On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.

So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.

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If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above

Answers

(A)  in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.

What is the definition of mechanical equilibrium?

Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.

What distinguishes mechanical equilibrium from static equilibrium?

A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.

Can mechanical equilibrium exist for an object in motion?

When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.

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Which of the following graphs best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions

Answers

The graph that best illustrates how the intensity of sound varies as a detector is moved further and further from a stationary source projecting sound in all directions would be an inverse square law graph. This graph would show that the intensity of sound decreases as the distance from the source increases. The intensity of sound is inversely proportional to the square of the distance from the source.

This means that if the distance from the source is doubled, the intensity of sound is decreased by a factor of four. This relationship is commonly observed in physics and engineering and is known as the inverse square law of sound propagation. This law states that the intensity of sound decreases as the distance from the source increases in a manner that is inversely proportional to the square of the distance.

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You are standing on a moving bus, facing forward. You suddenly fall backwards. You can imply from this that the bus's __.

Answers

You are standing on a moving bus, facing forward. You suddenly fall backward. You can imply from this that the bus's acceleration or speed has increased suddenly.

When the bus accelerates or speeds up suddenly, the inertia of your body causes you to fall backward. Inertia is the tendency of a body to resist changes in its state of motion. It is a basic principle of physics that states that an object in motion will remain in motion with the same speed and the same direction unless acted upon by an outside force. When the bus accelerates suddenly, the inertia of your body causes you to remain in the same position, while the bus moves forward. This results in you falling backward.

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Suppose a molecule has neutrons, a Coulomb total electric charge, and electrons. About how many protons must it have

Answers

molecule possesses neutrons and a total electric charge of one Coulomb. e is the electronic value, 1.60 x 10-19 Coulombs, and the proton has a cost of +e while the electron has a fee of -e.

How much is one coulomb?

The quantity of charge carried by a present of one amp for one second is measured in coulombs, which is the unit of measurement used in the SI for electric charge. It may also be a quality of a substance that causes magnetic and electric effects to occur. The symbol for it is C. According to math, 1 Coulomb equals 1 Ampere x 1/sec.

A coulomb quizlet: what is it?

A coulomb is an unit of power charge that represents the charge that is transmitted over one ampere of current in one second. Colomb's rule. depending on the charged items, electric force.

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An object is dropped from a height of 8 m. At what height will its kinetic energy and its potential energy be equal

Answers

At the peak  it has the same potential and kinetic energy.

How is kinetic energy calculated?

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.

Kinetic energy and potential energy are equivalent at what height?

The velocity will be zero and the ball's displacement will be at its maximum at the highest point of the trajectory. We might state that the energy present is equivalent to the sum of the potential energy.

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Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0∘R). However, the units of this scale are the same size as those on the Fahrenheit scale (∘F) rather than the Celsius scale (∘C).
A) Given that water at standard pressure freezes at 0∘C, which corresponds to 32∘F, and that it boils at 100∘C, which corresponds to 212∘F, calculate the temperature difference ΔT in degrees Fahrenheit that corresponds to a temperature difference of 1 K on the Kelvin scale.
B) What is the numerical value of the triple-point temperature Ttriple of water on the Rankine scale?

Answers

The temperature difference of  1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale.  Triple-point temperature of water is approximately 491 degrees Rankine.

The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.

The absolute zero is zero degrees Rankine.  In Celsius scale, absolute zero is −273 °C.

A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,

ΔT 1 K = ΔT 1°C

The ratio of Celsius and Fahrenheit scale is 5/9, therefore:

K/F = C/F = 5/9

Hence,

ΔT 1 K = ΔT (5/9)°F

B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to  −273 °C, hence:

0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.

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which of the following causes low lung compliance as a result of last of electrical lung tissue destruction

Answers

Interstitial lung disease is low lung compliance as a result, last of electrical lung tissue destruction.

Interstitial lung disorders brought on by breathing in particles like silicon and asbestos (asbestosis) can cause low lung compliance (silicosis).

Lungs and the pleural cavity have the capacity to expand and contract in response to variations in pressure. Lung compliance, which is a key determinant of lung health and function, is defined as the volume change per unit of pressure change across the lung. Lung compliance varies between inhalation and expiration because measurements of lung volumes vary between the two at the same pressure. Depending on whether only volume and pressure are measured (static) or whether their variations over time are also recorded, lung compliance can be classified as either static or dynamic.

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Find the interaction energy for two point charges, q1 and q2, a distance a apart. [Hint: Put q1 at the origin and q2 on the z axis; use spherical coordinates, and do the r integral first.]

Answers

The interaction energy for two point charges, q₁ and q₂, a distance 'a' apart is q₁q₂/4πε₀a.

In physics, interaction energy is the contribution to the total energy that is caused by an interaction between the objects being evaluated. The interaction energy generally depends on the relative position of the objects.

For example q₁q₂/4πε₀Δr is the electrostatic interaction energy between two objects with charges q₁ and q₂.

[tex]W_{tot}[/tex] = ε₀/2(∫E²dτ)

= ε₀/2{(∫E₁ + E₂)²dτ}

= ε₀/2(∫E₁² + E₂² + 2E₁E₂)dτ

= W₁ + W₂ + ε₀(∫E₁ × E₂)²dτ

E₁ = 1/4πε₀(q₁/r²)r

E₂ = 1/4πε₀(q₂/ᴫ²)ᴫ

[tex]W_{i}[/tex] = ε₀q₁q₂/(4πε₀)²[∫{(1/r²ᴫ²)cosβr²sinθdrdθdφ}]

Where (from the figure)

ᴫ = √(r² + a² - 2ra cosθ), cosβ = (r - a cosθ)/ᴫ

Therefore

[tex]W_{i}[/tex]  = {q₁q₂/(4π)²ε₀} 2π∫{(r - acosθ)/ᴫ³} sinθ drdθ

First do the r integral first, changing variables to ᴫ:

2ᴫdᴫ = (2r - 2a cosθ)

⇒(r - a cosθ)dr = ᴫdᴫ

As r : 0→∞, ᴫ : a→∞, so

[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex](∫limit 0 to ∞ 1/ᴫ² dᴫ) sinθ dθ

The ᴫ integral is 1/a, so

[tex]W_{i}[/tex] = {q₁q₂/8πε₀a} [tex]\int\limits^\pi _0[/tex] sinθ dθ

[tex]W_{i}[/tex] = q₁q₂/4πε₀a

This is the exact interaction energy of two-point charges.

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A 1. 25 in. By 3 in. Rectangular steel bar is used as a diagonal tension member in a bridge truss. The diagonal member is 20 ft long, and its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in. /in. , determine:

Answers

The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.

What is a truss?

A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."

A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.

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How do you find the velocity of an object rolling down a ramp?

Answers

The object accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?
(Neglect any friction betweem the wall and the picture fame)

Answers

The angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰.

By using the parallelogram law of vector addition, it is possible to calculate the angle between the two wires.

a² + b² - 2abcosθ = R²

Where;

R = is the outcome vector = the frame's weight ⇒ W

Angle between the two wires equals 0.75W for the first wire's tension and 0.75W for the second wire's tension.

(0.75W)² + (0.75W)² - 2(0.75W x 0.75W) cosθ = W²

1.125W² - 1.125W² cosθ = W²

= 1.125W²(1 - cosθ)

W²/1.125W² = 1 - cosθ

0.8889 = 1 - cosθ

cosθ = 1 - 0.8889

cos θ = 0.1111

θ = arc cos(0.1111)

θ = 83.6⁰

So, the angle must be formed if the tension in each cable is equal to 0.75 of the frame weight is 83.6⁰

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