to what tension must the strap be adjusted to provide the necessary upward force?

Answers

Answer 1

The tension required to provide the necessary upward force is 74.0 N assuming an angle of 30 degrees between the strap and the vertical axis of the pulley system.

The necessary upward force is 64 N. To determine the tension required to provide this upward force, use the equation for tension:

Tension = force / cos(θ)where θ is the angle between the strap and the vertical axis of the pulley system.

Since the angle is not given, assume it is 30 degrees, which is common for pulley systems.Tension = 64 N / cos(30°)Tension = 74.0 N

In conclusion, the tension required to provide the necessary upward force is 74.0 N assuming an angle of 30 degrees between the strap and the vertical axis of the pulley system.

The equation used to determine the tension is Tension = force / cos(θ), where θ is the angle between the strap and the vertical axis of the pulley system.

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Related Questions

Which of the following is accounted for as a change in accounting principle?

Answers

A change in accounting principle refers to a change in the specific method, principle, or basis used to prepare financial statements.

Among the given options, the following would be accounted for as a change in accounting principle:

1. Switching from the cash basis of accounting to the accrual basis of accounting: The cash basis recognizes revenue and expenses when cash is received or paid, while the accrual basis recognizes revenue when earned and expenses when incurred.

2. Changing from FIFO (First-In, First-Out) method to LIFO (Last-In, First-Out) method for inventory valuation: FIFO assumes that the first items purchased are the first ones sold, while LIFO assumes that the last items purchased are the first ones sold.

3. Adopting a new revenue recognition standard: If a company adopts a new revenue recognition standard, such as transitioning from recognizing revenue at the point of sale to recognizing revenue over time, it would be considered a change in accounting principle.

4. Implementing a new depreciation method: If a company changes its depreciation method, such as switching from straight-line depreciation to accelerated depreciation , it would be considered a change in accounting principle.

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The above mentioned question is incomplete. The complete question is:

Which of the following is accounted for as a change in accounting principle?

A. Change in estimates

B. Change in accounting estimate

C. Change in accounting principle

D. Change in reporting entity

Optical Pumping is used to achieve which step in laser creation? A. Amplification B. Emission C. Radiation D. Stimulation. D. Stimulation.

Answers

Optical Pumping is used to achieve the stimulation step in laser creation.

Optical pumping is a procedure that involves the absorption of energy in a specific medium, causing the electrons in the lower energy level to shift to a higher energy level. Optical pumping is a process in which the medium to be stimulated is pumped with light. It can be used to amplify a laser beam.

A laser consists of three main components: a medium, a pumping source, and an optical resonator. The optical resonator is constructed of two mirrors that reflect light back and forth, allowing it to interact with the laser medium multiple times. The medium absorbs the energy from the pumping source and stores it in a highly excited state.

In conclusion, Optical Pumping is used to achieve the stimulation step in laser creation.

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Select the correct answer. What is the main function of a telescope? A. It brings scientists closer to distant objects. B. It magnifies light received from distant objects. C. It measures the temperature of distant objects. D. It measures the wavelengths of incoming light rays.

Answers

Answer: A. It brings scientists closer to distant objects.

Explanation:

When light from infinite coming toward the lens of the telescope then this light is converge at the focal plane of the lens. This will image which is formed at the focal plane worked as an object for another lens of the telescope.

Now another lens made the final virtual image which is seen by the observer.

So here in this whole process the main working of Telescope is to form the image of a distant object near to the eye of an observer. So the light coming from the infinite distance is collected together and then a bright image is formed by that light so that observer is able to see the image clearly

so here correct answer would be

A. It brings scientists closer to distant objects.

Answer:

Answer: A. It brings scientists closer to distant objects.

Explanation:

the camera's angle of view relative to the subject being photographed

Answers

The camera's angle of view determines the extent of the scene captured. It can be wide-angle or telephoto, affecting the composition and visual impact.

The camera's angle of view refers to the extent of the scene that is captured by the camera's lens and recorded in the image or video. It is determined by the focal length of the lens and the size of the camera's image sensor or film.

The angle of view determines how much of the subject or scene will be visible in the final image. A wider angle of view captures a larger portion of the scene, while a narrower angle of view focuses on a smaller area. The angle of view is often expressed in degrees and can be described as wide-angle, normal, or telephoto, depending on the focal length of the lens.

A wide-angle lens has a broader angle of view and can capture more of the scene, making objects appear smaller and providing a greater sense of depth and context. A telephoto lens, on the other hand, has a narrower angle of view and magnifies the subject, making it appear larger and compressing the depth of the scene.

The choice of angle of view depends on the photographer's intention and the desired composition. It can affect the perception, storytelling, and visual impact of the photograph or video.

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what is reflection of light ? Which type of surface is required for a regular reflection​

Answers

Answer:

MIRROR

Explanation:

Answer:

reflection of light is the bouncing back of light rats when it falls on a smooth surface or polish surface.

The Schwarzschild radius is the distance from an object at which the escape velocity is equal to the speed of light. A black hole is an object that is

Answers

The Schwarzschild radius is the distance at which a mass has an escape velocity equal to the speed of light. A black hole is defined as any object with an escape velocity greater than the speed of light and a Schwarzschild radius smaller than one.

The Event Horizon is a sphere that surrounds a black hole and is defined by its Schwarzschild radius, rs. The escape velocity—the speed needed to dispel gravity's pull—from every location on this Event Horizon is equal to the speed of light (300,000 km/s) at the Schwarzschild radius. Since nothing can move more quickly than light, even light itself can barely escape the gravitational pull of the Black Hole.

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The electric motor of an elevator(lift) uses 630kJ of electric energy when raising the elevator and passengers, of total mass 12,500N, through a vertical height of 29m.Calculate the efficiency of the elevator. pppppplease need helpp willl markk the brrainliest

Answers

Answer:

Efficiency = 0.575 = 57.5%

Explanation:

First, we will calculate the output energy of the elevator, which is equal to the potential energy acquired by the load.

\(O = Potential\ Energy\\O = mgh\)

where,

O = Output = ?

mg = W = Weight = 12500 N

h = height = 29 m

Therefore,

\(O = (12500\ N)(29\ m) \\O = 362500\ J = 362.5\ KJ\)

The input is given as:

I = 630 KJ

Thus the efficiency will be:

\(Efficiency = \frac{O}{I} = \frac{362.5\ KJ}{630\ KJ}\\\\\)

Efficiency = 0.575 = 57.5%

Which term describes the energy an object has because of its motion?

Answers

in physics it’s kinetic energy

which of the following describes an action-reaction pair?

which of the following describes an action-reaction pair?

Answers

C. Your feet push down on the ground, and the ground pushes up on your feet.

When Your feet push down on the ground, and the ground pushes up on your feet. This is the correct example of action and reaction pair. The correct option is C.

What is Newton's third law of motion?

Newton's third law of motion states that " for every action, there is an equal and opposite reaction".

This means that if object "1" exerts a force on object "2", then object "2" will exert an equal and opposite force on object "1".

In mathematical terms, the third law can be expressed as:

F₁₂ = - F₂₁

Where

F₁₂ = the force exerted by object "1" on object "2",

F₂₁ =the force exerted by object "2" on object "1".

The negative sign indicates that the two forces are equal in magnitude but opposite in direction.

This law applies to all objects in the universe, and it is essential for understanding how objects interact with each other. It explains how a rocket is propelled into space, how a person can walk on the ground, and how a bird can fly through the air.

For example: when a person walks on the ground, their foot exerts a force on the ground. According to Newton's third law, the ground will then exert an equal and opposite force on the foot, pushing the person forward. This allows the person to walk and move forward.

Similarly, when a bird flies through the air, the bird's wings exert a force on the air, and the air exerts an equal and opposite force on the bird, lifting it up and allowing it to fly.

Here in the question,

When you push down on the ground with your feet, the ground pushes up on your feet with an equal and opposite force. This pair of forces are equal in magnitude and opposite in direction, satisfying the conditions of Newton's third law of motion.

Whereas,

Option A describes two separate forces acting on you, but these are not action-reaction pairs because they are not equal in magnitude and opposite in direction.

Options B and D both describe forces acting in opposite directions, but they are not action-reaction pairs because they do not involve two objects interacting with each other.

Therefore, in option C Your feet push down on the ground, and the ground pushes up on your feet, which is the correct option.

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The car is accelerating from a stop at a rate of 43 m/s2. How long will it take to
reach 86 m/s?

Answers

Answer:

2 s

Explanation:

Since the car is accelerating from a stop, it has an initial velocity of 0 m/s. The acceleration of the car is 43 m/s².

We want to find the time it takes for the car to have a final velocity of 86 m/s.

We can relate all four of these variables (initial velocity, final velocity, acceleration, time) in this kinematic equation:

v = v₀ + at

Substitute the known variables into the equation.

86 = 0 + (43)t 86 = 43tt = 2

It will take the car 2 seconds to reach 86 m/s.

Answer: 2 seconds

Explanation: In physics (m/s^2) meters per second squared or meters per second per second, literally means by how many meters per second the velocity changes every second. In this case it is 43. The car moves 43 meters a second per every second. That means that the car would move 86 meters in 2 seconds, 129 in 3 seconds, and so on.

(+) In cases like this, the fastest way to find the answer is to do simple division.

86/43 = 2

(Example) Look at it this way, the car is going 45 miles per hour. How long will it take to reach 90 miles? If the car goes 45 miles per hour, that means in 2 hours it will reach 90 miles.

90/45 = 2

Simple division.

Your very welcome, let me know if you have any questions. :-)

-szimbitskyy

Below is the velocity function, in feet per second, for a particle moving along a straight line. Find (a) the displacement and (b) the total distance that the particle travels over the given interval.
v(t) = t³ 13t2 + 47t-35 1≤t≤7
(a) Displacement: 36
(b) Total distance:

Answers

Given function isv(t) = t³ +13t²+47t-35and time interval is 1≤t≤7. We have to calculate:

(a) Displacement

(b) Total Distance

(a) Displacement:

Displacement is defined as the shortest distance between initial and final points. We can find the displacement of a particle with the help of following formula:

Displacement = Final Position - Initial PositionHere, the particle moves along a straight line, and we don't know the initial and final position.  Thus, the displacement of the particle is 219 ft.(b) Total Distance:Total distance traveled by the particle is the sum of all the distances covered by it in different intervals.

Thus, we have two real roots of the given equation:t₁

≈ - 6.548t₂

≈ 0.215

Therefore, ∫|v(t)|dt = 309

As we have to find the total distance, we have to add both the cases. Therefore,

Total Distance =∫|v(t)|dt  [from 1 to 7]

=∫|v(t)|dt [from 1 to 7]

=∫|v(t)|dt (from 1 to 1.215) +|v(t)|dt (from 1.215 to 7) = 252 + 309= 561 ft Thus, the total distance traveled by the particle is 561 feet.

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My observation is that no object on planet Earth will keep going in one direction forever and never slow down. Because of friction, and air resistance, objects will eventually slow down (from free fall or motion).

Newton's first law (Law of Inertia) states that all objects in motion will stay in motion until acted upon by an outside force.

Can anyone give an example where an object on Earth follows Newton's first law?

Answers

An example where an object on Earth follows Newton's first law is a ball rolling on the ground.

What is Newton's first law of motion?

Newton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Examples of Newton's first law of motion;

Brakes applied by a bus driver abruptlyAn object placed on a plane SurfaceA ball rolling on the ground.

Thus, an example where an object on Earth follows Newton's first law is a ball rolling on the ground.

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In the picture below, two light beams are traveling through water. If the frequency of one light beam is greater than the other, what can be said about their wavelengths?



Select one:
a. The light beam with the higher frequency has the longer wavelength.
b. The light beam with the higher frequency has the shorter wavelength.
c. Wavelength does not depend on frequency therefore the wavelengths could be equal.
d. Not enough information is given to tell.​

In the picture below, two light beams are traveling through water. If the frequency of one light beam

Answers

B I’m not sure tho hope it helps

decision making worksheet answer key

Answers

Answer:

do your mom hard to get out of the house you doing today no classes are you doing today no classes are you doing today no classes are not sleeping in my bed you have any best to get the meaning do you want for it is my friend I will be there at 12 I have send me a even if we don't ask everyone e for it was a screenshot I am excited everything except you eat your eyes everything except everything else ever even know if everyone e and 10 even though it was kiss emoji everything else ever eyebrows yet I eat early to get enough everything except everything is your class finish up early enough even know what is going on with out hajab I have send it out to edit a video on e a video on each e

Explanation:

7ün go up to the meaning of the name to the class finish it was in the picture of the meaning is F C B you send me your pic of clans go for a walk and 10 even though I am not say that you wake me up

James is planning a science fair project on sound waves. He places an alarm inside a jar which he can remove the
air from. Before he removes the air, he can hear the alarm ringing. After he removes the alr, he cannot hear the
alarm ringing. What condusion can you draw from this experiment?


A. Sound waves can travel in a vacuum
B. Sound waves are transverse waves and are loud
C. Sound waves cannot travel through a medium
D. Sound waves require a medium to travel through

Answers

Answer: c

Explanation:

Sound waves cannot travel through a medium

Can someone please help me with this ? Neon gas in a container was heated from 20°C to 120°C. It's new volume is 150ml. What was the original volume ?

Answers

Answer:

110 mL

Explanation:

Ideal gas law:

PV = nRT

Assuming the container isn't rigid, and the pressure is constant, then:

V/T = V/T

Plug in values (remember to use absolute temperature).

V / 293 K = 150 mL / 393 K

V = 110 mL

A toll road with 4 toll booths has an average arrival rate of 600 veh/h and drivers take an average of 12 seconds to pay their tolls. If the arrival rate and departure times are determined to be exponentially distributed, how would the probability of waiting in a queue change if a 5th toll booth were opened? Please provide your answer as the positive difference between the two probabilities (i.e., subtraction) in decimal form (0.0000). Use of an online calculator or Excel is recommended.

Answers

The probability of waiting in a queue decreases by 0.0001638 when a 5th toll booth is opened.

ρ = λ/(c*μ)

ρ = (600 veh/h) / (4 * (1/12) veh/s) = 1

\(P_w = (1 - p) / (1 - p^(c+1))\)

Plugging in the values, we get:

\(P_w = (1 - 1) / (1 - 1^5) = 0\)

let's consider the toll road with 5 toll booths. The traffic intensity is:

ρ = (600 veh/h) / (5 * (1/12) veh/s) = 0.8

The probability of waiting in a queue is:

\(P_w = (1 - p) / (1 - p^(c+1))\) = \((1 - 0.8) / (1 - 0.8^6) = 0.0001638\)

Therefore, the positive difference between the two probabilities is:

0.0001638 - 0 = 0.0001638

The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics.  It is concerned with the likelihood or chance of a specific outcome occurring in a given situation. Probability is measured on a scale from 0 to 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

In probability theory, an event is a set of possible outcomes, and a probability measure assigns a numerical value to each event that reflects the likelihood of its occurrence. Probability is used in a variety of fields, including science, engineering, finance, and statistics, to make predictions and make informed decisions based on uncertain information.

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fill in the blank. A moving cue ball strikes another ball of equal mass that is initially at rest. If the collision is elastic, the velocity of the cue ball after the collision will be __________ to the velocity of the other ball.

Answers

The velocity of the cue ball after the collision will be equal and opposite to the velocity of the other ball.

This is because in an elastic collision, both momentum and kinetic energy are conserved. Therefore, the total momentum before the collision must be equal to the total momentum after the collision. Since the second ball is initially at rest, its initial momentum is zero. This means that the total momentum before the collision is equal to the momentum of the cue ball.

After the collision, the momentum of the cue ball is transferred to the second ball, causing it to move in the opposite direction with the same velocity as the cue ball had before the collision. Thus, the cue ball will have an equal and opposite velocity to the other ball after the collision. This can be represented mathematically as:


m1v1i = m1v1f + m2v2f
where m1 and m2 are the masses of the cue ball and second ball, respectively, v1i is the initial velocity of the cue ball, v1f is the final velocity of the cue ball, and v2f is the final velocity of the second ball. Since v2f is zero (it comes to rest), we can solve for v1f and get:
v1f = (m1 - m2)/(m1 + m2) * v1i


This shows that the final velocity of the cue ball is opposite in direction to the initial velocity of the second ball and has a magnitude proportional to the difference in mass between the two balls.

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Please help. I'll give brainliest :)

What happened to the supercontinents Columbia and Rodina?
They broke up and formed into the current land masses and
ocean floors.
The action of continental drift broke up Columbia an Rodina
into smaller continents.
The action of plate tectonics broke up Columbia and Rodina into
smaller continents.
They were formed before the process of plate tectonics began.

Answers

Explanation:

The choices aren't exactly correct. Technically, Rodinia pulled apart from tectonics, but then it slammed back together on the other side of the planet to form Pangea.

I guess C would be the closest correct answer.

Answer:

Is The First One-They broke up and formed into the current land masses and

ocean floors.

Explanation:

I Took The Quiz:)

an mtc student sits at his desk. the earth pulls down on his body with a gravitational force. T/F

Answers

The Earth has a gravitational force that attracts objects with mass towards it. This force acts on the mtc student and pulls his body down. It is true.

What is force ?

Force is an invisible push or pull that acts upon an object. It is a vector quantity, meaning it has both magnitude and direction. Force can be generated by the interaction of two objects, or by the action of a single object on itself. Common examples of force include gravity, friction, and magnetism. Force is an essential part of the scientific study of motion, and is used to describe the relationship between an object’s motion and the amount of energy it possesses. Force can be measured using a variety of instruments, such as a spring scale or a force sensor.

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Help me please
Which line shows the LOWEST frequency?

Help me pleaseWhich line shows the LOWEST frequency?

Answers

I want to say it's the second one because the crest's of the wave are further apart then the rest.

If a truck weighs 195,000N what is the mass of the truck

Answers

Answer:

19500kg

Explanation:

If you divide 195000N by 10

Okay, so I have a project and we have to create a brochure to promote a planet and try to get people to visit. We also have to create a catchy slogan
I dunno if this is a good site to ask on, but I NEED HELP CREATING A SLOGAN FOR NEPTUNE. PLEAASE HELP :(

Answers

Explanation:

the tune of neptune is better thatbany other tune

hope it helps

Clouds of gas and dust as well as new star formation are typically seen in which of the following galaxy types?
a. Irregular
b. Spiral
c. Elliptical

Answers

Clouds of gas and dust as well as new star formation are typically seen in irregular and spiral galaxies.

The correct answer is option a and b.

Galaxies are vast collections of stars, gas, dust, and other material held together by gravity. The different types of galaxies are generally categorized based on their shape, which is determined by the distribution of stars and other material within them.

Irregular galaxies are so named because they have irregular shapes, lacking the symmetrical structure of spiral and elliptical galaxies. They often have chaotic, clumpy appearances and contain large amounts of gas and dust, which are the raw materials for new star formation.

Irregular galaxies are thought to form through interactions and mergers with other galaxies, which can disrupt their structure and trigger bursts of star formation.

Spiral galaxies, as the name suggests, have a spiral or disk-like structure with distinct arms that radiate out from a central bulge. These arms contain large amounts of gas and dust, which are the sites of ongoing star formation. Spiral galaxies are generally thought to be more stable than irregular galaxies, with the regular rotation of their disk-like structures helping to maintain their shape.

Therefore the correct answer is a and b.

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An object of mass M moves in one dimension along the x-axis. A conservative force F(x) is exerted on the object. The potential energy U(x) associated with this force as a function of position x is shown in graph 1. A student used the potential energy graph to construct the graph of F(x) as a function of x shown in graph 2. Are these graphs consistent with one another, and if not, what is the error?

Answers

These graphs do not consistent with one another because one is graph of potential energy U(x)  vs distance(x)  and two is graph of force (F(x)) vs distance(x).

What is potential energy?

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:

U(x) = ∫ F(x)dx.

Hence, U(x) ≠ F(x)

That's why, these graphs  do not consistent with one another.

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Danny sails a boat downstream. The wind pushes the boat along at 21 km/hr. The current runs downstream at 15 km/hr. What is the actual velocity of the boat?

1.4 km/hr, downstream
6.0 km/hr, downstream
36 km/hr, downstream
310 km/hr, downstream

Answers

The actual velocity of the boat is 36 km/hr, downstream. Option C.

Solution:

Water velocity, v = 15 km/h

Downstream boat velocity, u = 21 km/h

Boat actual velocity = v'

v' = v + u

⇒ v' = 15 km /h + 21 km/h

u = 21 km/h +15 km/h = 36.0 km/h downstream.

At first glance, the sea looks flat but it is not. If you look closely wind, current, and wave action affect the six movements of the ship: heave, pitch sway roll pitch, and yaw. Relative velocity is defined as the velocity of object B in the still frame of another object A. The SI unit for velocity is meters per second m/s. Alternatively, velocity magnitudes can be expressed in centimeters per second cm/s.

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A lightbulb is a kind of lever true or false

Answers

False. It is incorrect to consider a lightbulb as a kind of lever.

A lightbulb is not a kind of lever. A lever is a simple machine that consists of a rigid bar or plank that rotates around a fixed point called a fulcrum. Levers are used to transmit and amplify forces or to change the direction of applied forces. They work based on the principle of torque, where a force is applied at a certain distance from the fulcrum, creating rotational motion.

On the other hand, a lightbulb is an electrical device that produces light when an electric current passes through it. It consists of a filament or a gas-filled chamber enclosed in a glass bulb. The functioning of a lightbulb is based on the principles of electrical resistance and thermal radiation, rather than the mechanical principles of levers.

While levers and lightbulbs both exist as objects, they serve entirely different purposes and operate on different principles. Levers are used for mechanical advantage and force amplification, while lightbulbs are used for generating light through the conversion of electrical energy.

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what is the answer log the object that is decelerating?

what is the answer log the object that is decelerating?

Answers

Answer:

-3.33m/s^2

Explanation:

From the graph, we can read that the object between segments C and D changed its velocity from 10m/s to 0m/s over 3 seconds.

(0m/s - 10m/s) / 3s = -10 / 3 * m/s^2 = -3.3333... m/s^2

In any thermodynamic system that deals with the transfer of thermal energy, which of thefollowing is the most ideal state for that system?

In any thermodynamic system that deals with the transfer of thermal energy, which of thefollowing is

Answers

Thermodynamics can be said to be a branch of Physics which involves the transfer of heat and other energy forms.

Thermal energy is the energy possesed by a system due to its temperature.

In thermodynamics, during the transfer of thermal energy, energy is wasted due to entryopy. And entropy is the measure of disorder of a system.

Therefore, in amy thermodynamic system that deals with the transfer of thermal energy, the most ideal state for that system is Entropy

ANSWER:

A. Entropy

Three liquids are at temperatures of 2°C, 21°C, and 34°C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 5 C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 30.1°C.
Find the equilibrium temperature when equal masses of the first and
third are mixed.
Answer In units of 'C.

Answers

Answer:

m - mass of each liquids (all masses are equal )

C_1C 1 - specific heat of the first third C_2C 2 - specific heat of the second  liquid

C_3C 3- specific heat of the third liquid

Temperature of liquids: T_1=7 ◦C,T_2=20◦C, T_3=34◦CT

1 =7◦C,T 2 =20◦C,T 3=34◦C

Temperature of 1+2 liquids mix: T_{12}=11^oCT

12 =11 oC

Temperature of 2+3 liquids mix: T_{23}=22.6^oCT

23=22.6 oC

Temperature of 1+3 liquids mix: T_{13} - ?T 13 −?

When the first two are mixed:

m C₁ (T₁ − T_{12}) + m C₂ (T₂ − T_{12}) = 0 \\ C₁ (7− 11) + C₂ (20 − 11) = 0\\ 4C_1=9C_2\\ C_1=2.25C_2mC₁(T₁−T 12)+mC₂(T₂−T 12 )=0C₁(7−11)+C₂(20−11)=04C \1=9C 2C 1 =2.25C 2

​When the second and therd are mixed:

m C_2 (T_2 − T_{23}) + m C_3 (T_3 − T_{23}) = 0 \\ C_2 (20−22.6) + C₂ (34 −22.6) = 0\\ 2.6C_2=11.4C_3\\ C_2=4.38C_3mC 2 (T 2 −T 23 )+mC 3 (T 3 −T 23 )=0C 2(20−22.6)+C₂(34−22.6)=02.6C 2 =11.4C 3C2 =4.38C 3

​When the first and therd are mixed:

m C_1 (T_1 − T_{13}) + m C_3 (T_3 − T_{13}) = 0 \\ C_1 (7−T_{13}) + C_3 (34 −T_{13}) = 0\\ C_1=2.25C_2=2.25(4.38C_3)=9.86C_3\\ 9.86C_3 (7−T_{13})=-C_3(34 −T_{13})\\ 9.86 (7−T_{13})=-(34 −T_{13})\\ T_{13}=9.5^oCmC 1(T1 −T13)+mC 3(T3−T13 )=0C1 (7−T13 )+C 3(34−T 13 )=0C1 =2.25C2=2.25(4.38C3 )=9.86C39.86C3 (7−T13 )=−C3(34−T13 )9.86(7−T13)=−(34−T13 )T13 =9.5 oCT_{13}=9.5^oCT 13 =9.5 o C:

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