An aluminum-alloy rod has a length of 10.0 cm at 20°C and a length of 10.015 cm at the boiling point of water (1000C). (a) What is the length of the rod at the freezing point of water (0 0C)? (b) What is the temperature if the length of the rod is 10.009 cm? /4mks

Answers

Answer 1

Answer:

a.  9.99625 cm b. 68 °C

Explanation:

(a) What is the length of the rod at the freezing point of water (0 0C)?

Before we find the length of the rod, we need to find the coefficient of linear expansion, α = (L - L₀)/[L₀(T - T₀)] where L₀ = length of rod at temperature T₀ = 10.0 cm, T₀ = 20 °C, L = length of rod at temperature T = 10.015 cm and T = 100 °C

Substituting the values of the variables into the equation, we have

α = (L - L₀)/[L₀(T - T₀)]

α = (10.015 cm - 10.0 cm)/[10.0 cm(100 °C - 20 °C)]

α = 0.015 cm/[10.0 cm × 80 °C]

α = 0.015 cm/[800.0 cm °C]

α = 0.00001875 /°C

We now find the length L₁ at T₁ = 0 °C from

L₁ = L₀(1 + α(T₁ - T₀))

So, substituting the values of the variables into the equation, we have

L₁ = L₀(1 + α(T₁ - T₀))

L₁ = 10.0 cm[1 +  0.00001875 /°C(0° C - 20 °C)]

L₁ = 10.0 cm[1 +  0.00001875 /°C × -20° C]

L₁ = 10.0 cm[1 - 0.000375]

L₁ = 10.0 cm[0.999625]

L₁ = 9.99625 cm

(b) What is the temperature if the length of the rod is 10.009 cm?

With length L₃ = 10.009 cm at temperature T₃, using

L₃ = L₀(1 + α(T₃ - T₀))

making T₃ subject of the formula, we have

L₃/L₀ = 1 + α(T₃ - T₀)

L₃/L₀ - 1 = α(T₃ - T₀)

T₃ - T₀ = (L₃/L₀ - 1)/α

T₃ = T₀ + (L₃/L₀ - 1)/α

substituting the values of the variables into the equation, we have

T₃ = 20 °C + (10.009 cm/10.0 cm - 1)/0.00001875 /°C

T₃ = 20 °C + (1.0009 - 1)/0.00001875 /°C

T₃ = 20 °C + 0.0009/0.00001875 /°C

T₃ = 20 °C + 48 °C

T₃ = 68 °C


Related Questions

Numa máquina térmica uma parte da energia térmica fornecida ao sistema(Q1) é transformada em trabalho mecânico (τ) e o restante (Q2) é dissipado, perdido para o ambiente.



sendo:

τ: trabalho realizado (J) [Joule]
Q1: energia fornecida (J)
Q2: energia dissipada (J)


temos: τ = Q1 - Q2

O rendimento (η) é a razão do trabalho realizado pela energia fornecida:

η= τ/Q1

Exercícior resolvido:
Uma máquina térmica cíclica recebe 5000 J de calor de uma fonte quente e realiza trabalho de 3500 J. Calcule o rendimento dessa máquina térmica.

solução:

τ=3500 J
Q1=5000J

η= τ/Q1
η= 3500/5000
η= 0,7 ou seja 70%

Energia dissipada será:



τ = Q1 - Q2
Q2 = Q1- τ

Q2=5000-3500
Q2= 1500 J

Exercicio: Qual seria o rendimento se a máquina do exercicio anterior realizasse 4000J de trabalho com a mesma quantidade de calor fornecida ? Quanta energia seria dissipada agora?



obs: Entregar foto da resolução ou o cálculo passo a passo na mensagem

Answers

Numa máquina térmica uma parte da energia térmica fornecida ao sistema(Q1) é transformada em trabalho mecânico (τ) e o restante (Q2) é dissipado, perdido para o ambiente.



sendo:

τ: trabalho realizado (J) [Joule]
Q1: energia fornecida (J)
Q2: energia dissipada (J)


temos: τ = Q1 - Q2

O rendimento (η) é a razão do trabalho realizado pela energia fornecida:

η= τ/Q1

Exercícior resolvido:
Uma máquina térmica cíclica recebe 5000 J de calor de uma fonte quente e realiza trabalho de 3500 J. Calcule o rendimento dessa máquina térmica.

solução:

τ=3500 J
Q1=5000J

η= τ/Q1
η= 3500/5000
η= 0,7 ou seja 70%

Energia dissipada será:



τ = Q1 - Q2
Q2 = Q1- τ

Q2=5000-3500
Q2= 1500 J

Exercicio: Qual seria o rendimento se a máquina do exercicio anterior realizasse 4000J de trabalho com a mesma quantidade de calor fornecida ? Quanta energia seria dissipada agora?



obs: Entregar foto da resolução ou o cálculo passo a passo na mensagem

Determine the applied force required to accelerate a 2.25 kg object rightward with a
constant acceleration of 1.50 m/s2 if the force of friction opposing the motion is 18.2 N.
(Neglect air resistance.)

Answers

Answer:

Explanation:

Im going to be using the rules for significant digits properly so I hope you're quite familiar with them. The equation we need for this is

F - f = ma where F is the applied force (our unknown), f is the frictional force, m is the mass, and a is the acceleration. Filling in:

F - 18.2 = 2.25(1.50) and

F = 2.25(1.50) + 18.2  Do the multiplication first and round to get

F = 3.38 + 18.2   The addition rules tell us that we will be rounding to the tenths place after we add to get

F = 21.6 N

In what way may the turning effect of a force be increased?

By decreasing the perpendicular distance between the force and the pivot point

By lubricating the fulcrum with oil or grease.

By increasing the perpendicular distance between the force and the pivot point.

By reducing the applied force

Answers

Answer:

By increasing the perpendicular distance between the force and the pivot point

Explanation:

Due to the formula [tex]force * distance[/tex],

An increase in distance would cause the turning force to increase

Feel free to mark it as brainliest :D

which clock do scientists use to measure time why​

Answers

Scientists are actually working on a type of clock that is more accurate than the atomic clocks we use today. It is called an optical atomic clock and it measures atomic oscillations using light from the visible spectrum.

Scientists use Atomic clock to measure time

The sunlight reaches the ground through radiation​

Answers

We know but What’s ur question?!!!

Answer:

y e s

Explanation:

A (200 g) of water at (80 °C) is mixed with (100 g)of water at (20 °C). What is the final temperature of the water?

Answers

Answer:

60 °C

Explanation:

From the question given above, the following data were obtained:

Mass of 1st sample (M₁) = 200 g

Temperature of 1st sample (T₁) = 80 °C

Mass of 2nd sample (M₂) = 100 g

Temperature of 2nd sample (T₂) = 20 °C

Equilibrium temperature (Tₑ) =?

NOTE: Since the sample are the same, the specific heat capacity is constant.

We can obtain the equilibrium temperature as follow:

Heat lost by 1st = heat gained by the 2nd

M₁C(T₁ – Tₑ) = M₂C(Tₑ – T₂)

Cancel out C

M₁(T₁ – Tₑ) = M₂(Tₑ – T₂)

200 (80 – Tₑ) = 100 (Tₑ – 20)

Clear bracket

16000 – 200Tₑ = 100Tₑ – 2000

Collect like terms

16000 + 2000 = 100Tₑ + 200Tₑ

18000 = 300Tₑ

Divide both side by 300

Tₑ = 18000 / 300

Tₑ = 60 °C

Therefore, the equilibrium temperature (i.e the final temperature) of the mixture is 60 °C.

If an object is in freefall it will experience air blank which generates a drag force

Answers

Answer:

Resistance

Explanation:

I believe it is air resistance but I could be wrong.

The question is fishing for "air resistance", but that's a mistake by whoever wrote the question.

"Free fall" means that gravity is the ONLY force on the body. If there's any air resistance, then it's not free fall.

difference between acceleration due to gravity and gravity​

Answers

Answer:

The gravitational force between earth and any object is known as gravity.

...

help pleeeeeeeease???​

Answers

Answer:

30 miles

Explanation:

In general, ionic bonds form between a metal and a nonmetal. Covalent bonds usually form between two nonmetals. Which of the following pairs of atoms is most likely to form a covalent bond?

A. magnesium and chlorine
B. copper and bromine
C. nitrogen and oxygen
D. potassium and phosphorus

Answers

Answer:

C

Explanation:

Nitrogen and Oxygen donates electron to each other

Nitrogen and oxygen has the greatest chance of forming a covalent bond. Option C is correct.

What is a covalent bond?

Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.

Compounds can be polar covalent or nonpolar covalent, depending on the electronegativity variations between components.

The nitrogen family, Group 15, can react with oxygen in a variety of ways. Nonmetallic elements include nitrogen and phosphorus and oxygen.

Ionic bonds often occur between a metal and a nonmetal. Covalent bonds are most commonly formed between two nonmetals.

Nitrogen and oxygen has the greatest chance of forming a covalent bond from given a pair of atoms.

Hence,option C is correct.a given

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Mark was traveling at 40 mph on a road with a drag factor of 0.85. His brakes were working at B0o/o efficiency. To the nearest tenth of a foot, what would you expect the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop

Answers

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

The given parameters:

Speed of Mark, v = 40 mphDrag factor, F = 0.85Working efficiency of the brake, n = 80%

The average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is calculated as follows;

[tex]v = \sqrt{30 D fn} \\\\40 = \sqrt{30 \times D \times 0.85 \times 0.8} \\\\40 = \sqrt{20.4 D} \\\\40^2 = 20.4D\\\\1600 = 20.4 D\\\\D = \frac{1600}{20.4} \\\\D = 78.43 \ ft[/tex]

Thus, the average length of the skid marks to be if he applied his brakes in order to come to an immediate stop is 78.43 ft.

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If g were 15 instead of 9.81, what would your quads look like?

Answers

Answer:

Quads will have more energy

Explanation:

If the acceleration due to gravity increases from 9.81 to 15, then the velocity will increase as the rate of changing velocity i.e acceleration has increased from 9.81 to 15 m/s^2

With increase of velocity, the energy and force will also increase. Hence, the squad will require/have higher energy.

Kiran runs along a straight road of length 150 m. After
reaching at end of the road he runs back to his initial
position along the same straight path. If he takes a total
time of 1 minute for completing his running, find the
average speed and average velocity of Kiran.

Answers

Answer:

Explanation:

Speed and velocity are not the same thing, as I'm sure you have determined while in physics. To find the average speed, we add the total distance run by Kiran and divide that total number of meters by the number of seconds it took to do this (just because I am going to state the speed and velocity in terms of m/s as opposed to m/min). To find the average velocity, we add the displacements together and divide by the total time. First the average speed:

[tex]s=\frac{150+150}{60}=\frac{300}{60}=5\frac{m}{s}[/tex]

Velocity has direction. If Kiran runs to the end of the road (which we will call positive) and then runs back to the start (that direction will be negative), then his displacement fits into the velocity equation as

[tex]v=\frac{150+(-150)}{60}=0[/tex] That means, even though he ran a lot and I'm sure he was very tired, his average velocity for the trip was 0 m/s. When velocity is 0, remember that that means that the total displacement was 0.

which is the term for the study of weather and climate?

Answers

Answer:

Meteorology

Explanation:

That is indeed the study of weather and climate.

A parallel combination of 3ohms and 4ohms resistor is connected in series with a resistor of 4ohms and a battery of negligible resistance. Calculate the effective resistance in the circuit

Answers

Answer:

Explanation:

Equivalent resistance of parallel combination of two resistors of 3 ohms and 4 ohms .

R₁ = 3 x 4 / ( 3 + 4 )

= 12 / 7 = 1.7 ohms .

This equivalent resistance is connected with 4 ohms in series

Total resistance = 1.7 ohms + 4 ohms

= 5.7 ohms.

Hence effective resistance of the circuit = 5.7 ohms .

Emma compares the time it takes for a large marble and a small marble to roll down a slope. To make the findings reliable, Emma should..

Answers

Answer:

use two marbles that are having the same mass.

Explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Compare and contrast is used for the comparison of two or more things to show similarities and differences i.e how they are alike and different.

In this scenario, Emma compares the time it takes for a large marble and a small marble to roll down a slope.

In order to make his findings reliable, Emma should use two marbles that are having the same mass i.e two large marbles with the same mass and two small marbles with the same mass.

Mass can be defined as a measure of the amount of matter an object or a body comprises of. The standard unit of measurement of the mass of an object or a body is kilograms. Irrespective of the location of an object or a body at a given moment in time, the mass (amount of matter that they're made up of) is constant.

which of these is a mechanical wave
1)Light .
2)Sound .
3)Gamma ray .
4)Electromagnetic .

Answers

Answer:

Sound waves

Explanation:

Mechanical Sound Waves - A sound wave moves through air by displacing air particles in a chain reaction. ... Sound energy, or energy associated with the vibrations created by a vibrating source, requires a medium to travel, which makes sound energy a mechanical wave.

(≚ᄌ≚)ℒℴѵℯ❤

HI PLEASE HELP!

How do glow sticks affect the temperature of hot an cold water?

Will give brainliest. Will report any links or irrelevant answers so don’t even try.

Answers

Answer:

Chemical reactions occur slower at lower temperatures and faster at higher temperatures. When you put a glow stick in cold water, the chemical reaction slows down but will last for a longer period of time. When you put a glow stick in hot water, the reaction speeds up but will be over quicker.

Explanation:

(self-explanatory)

I hope this helps, have a nice day.

which of the following is a vector physical quantity

a. speed
b. energy
c. mass
d. displacement

Answers

Answer:

D. displacement

Explanation:

Vector quantities have both magnitude and direction.

Scalar quantities have only magnitude.

In a physics lab, Ray Zuvlite arranges two mirrors with a right angle orientation as shown. Ray then directs a laser line at one of the mirrors. The light reflects off both mirrors as shown. If angle A is 25°, determine the what is the angle measure of angles B, C, and D?

Answers

Answer:

B = 25°

C = 65°

D = 25°

Explanation:

The given parameters are;

The orientation of the two mirrors = At right angle to each other

The laser light is directed at one of the mirror

The measure of angle, A = 25°

The measures of angle B, C, and D are found as follows;

We have;

∠A = ∠B = 25°, by angle of incidence equals angle of reflection

∠B = 25°

∠B + ∠C = 90° by sum of the acute angles of a right triangle

25° + ∠C = 90°

∴ ∠C = 90° - 25° = 65°

∠C = 65°

∠E = ∠C = 65° by angle of incidence equals angle of reflection

∴ ∠E = 65°

Line 'L' is perpendicular to the second mirror, therefore, the angle between line 'L' and the second mirror = 90° = ∠E + ∠D

∠E + ∠D = 90°,  by angle sum property

Therefore;

65° + ∠D = 90°

∴ ∠D = 90° - 65° = 25°

∠D = 25°

The point A on the above graph is an example of
extrapolation
variation
interpolation
average method

Answers

Answer:

Interpolation

Explanation:

The graph shows that it falls between 2 values and interpolation means that you estimate the unknown values that fall between the 2 values. Hope this helps!

The data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.

Extrapolation is the process of extending a line connecting the data points beyond the given data points to make inferences based on the previous trend of the data set. This helps us to understand what will happen in the future if the trend continues in the same manner.

Interpolation is the process of determining an unknown variable between two known variables. In this process the data point is located within the line connecting the data points.

In this given graph, the data point A is between two given data points and it lies within the line connecting the data points, thus we can conclude that point A is an example of interpolation.

Learn more here: https://brainly.com/question/11958294

a box of mass 4kg slides on the horizontal surface with kinetic frictional force of 8N. what coefficient of friction between the box and horizontal surface​

Answers

Answer:

ų=0.8

Explanation:

F=mg

F=4×9.81=39.24N

Ff=Fn-F

=39.24-8=31.24

ų=Ff÷Fn

=31.24÷39.24

=0.8

em 6
Which provides a definition for
matter?
Anything that
A.
B.
C.
D.
is solid and has weight
takes up space and is heavy
takes up space and has mass
is a liquid or solid​

Answers

Answer:

definition of matter is that matter takes up space and has mass

2. In any energy transformation, energy is _____. A created B conserved C destroyed

Answers

Answer:

B energy can't be created or destroyed

which answer is it??

Answers

Answer:

hmm...

Explanation:

Answer: wave a has the higher ampllitude while wave b has the lower amplitude.

Explanation:

wave a has the amplitude of 4 while wave b has the amplitude of one

What types of changes occur during the erosion and deposition of sediments in a river?

Answers

Answer:

Slow-moving rivers generate extensive floodplains and meanders through erosion and deposition. Stream and river deposition can result in the formation of alluvial fans and deltas. Natural levees may be formed by floodwaters. Caves and sinkholes can arise as a result of groundwater erosion and deposition.

Explanation:

s

The erosion and deposition of sediments in a river creates broad floodplains and meanders.

What is Erosion and Deposition?

Deposition occurs when sediment, a combination of soil and rock produced by weathering, is eroded and transported to a new area.

Deposition is the act of depositing silt that has been transported by the wind, water, sea, or ice.

Earthen materials are worn away during erosion, a geological process in which they are moved by wind or water.

The removal of soil, rock, or dissolved material from one area on the Earth's crust and subsequent transport to another region for deposition are known as erosional processes. Erosion differs from weathering, which is a static process.

Given data ,

Let the erosion and deposition of sediments be deposited in a river

Now , Pebbles, sand, mud, and salts that have been dissolved in water can all be used to convey sediment. Afterwards, salts may be left behind by organic action.

Now , floodplain is caused when erosion happens

And , A floodplain is a broad, level or nearly level area of land where the stream flows.

Meandering streams that wander from side to side broaden the plain by eroding it during the formation of the plain. Flooding can occur when stream flows overflow from their channel due to very excessive rainfall or quick snow-melt.

Hence , floodplain and meandering occurs due to erosion and deposition

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HELP⚠️⚠️

Your Best friend gets on a ship and travels away fast. They return 10.0 years later and I’ve only aged 4.00 years. How fast was your friend traveling? Give your answer as ex. 0.5c

Answers

Answer:

I think u are traeling at speed of light and not ur friend

Explanation:

You are going at the speed of light but not your friend

Read the following lines from The Call of the Wild .


He was surprised at the eagerness which animated the whole team and which was communicated to him; but still more surprising was the change wrought in Dave and Sol-leks. They were new dogs, utterly transformed by the harness… The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight.
Cite the quotation that best supports Buck's observation that the other dogs actually enjoy the harness.

"He was surprised at the eagerness which animated the whole team and which was communicated to him..."
"...but still more surprising was the change wrought in Dave and Sol-leks. They were new dogs, utterly transformed by the harness…"
"...still more surprising was the change wrought in Dave and Sol-leks."
"The toil of the traces seemed the supreme expression of their being, and all that they lived for and the only thing in which they took delight."

Answers

hey I read it do you use there a pacific question you want me to answer or something?

Answer:

I also recently read Call of the Wild for school and it was a great book.

Explanation:

I will give more points
for this thank you I u helped
me ​

Answers

Answer:

weight = mass×gravity

15×9.8147N

stay safe healthy and happy.


A 330.-ohm resistor is connected to a 5.00-volt battery. What is the current through the resistor?

Answers

Answer:

From Ohms Law

V=IR

V=5volts

R=33.0hms

I=V/R

I= 5/330

=0.0152A

The current flowing through the cross-section of the resistor is 0.0152A.

Given the data in the question;

Resistance; [tex]R = 330ohm[/tex]Voltage; [tex]V = 5.00V[/tex]Current; [tex]I = \ ?[/tex]

Ohm's law

Ohm's law states that "the current flowing through the cross-section of a conductor is directly proportional to the voltage across it".

It is expressed as;

[tex]V = IR[/tex]

Where V is voltage, I is current and R is the Resistance.

To determine the current flowing through the resistor, we substitute our given values into the expression above.

[tex]V = IR\\\\I = \frac{V}{R}\\ \\I = \frac{5.00V}{330\ Ohm} \\\\I = 0.0152A[/tex]

Therefore, the current flowing through the cross-section of the resistor is 0.0152A.

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Use the diagram below. If m3 = 60, find m4. MARKING BRAINLIEST IF CORRECT + 50 POINTS!!!!Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)pls explain Find the value of x. Need help ASAP anybody got this?? Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n. 3) Part of a process necessary for reproduction in complex organisms is represented below. Step C results in the production of A) four zygotes that will develop into embryos B) embryonic cells that could unite and develop into an organism C) four cells that will recombine to form two offspring D) gametes that could be involved in the formation of a zygote 99999999999999999999999999999999999999999999999999999999999999999 write an equivalent expression for 3/5x + 2/5 + 3/5xplease i will give brainliest which table of values would you use to graph y = 3X^2? PLEASE HELP!!!! Write a solution for the equation 6x-8=4x HAPPY PRIDE MONTH!!!!! What role did Mohandas Gandhi play in Indian independence? The Acme Company is a perfect competitor in its input markets and its output market. Its average product of labor is at its maximum and equals 30. The marginal revenue product of labor is $300. The price of its output is $ largest possible number that equals 5000 when rounded to one significant figure How do you write a script in first person point of view? Write six hundred seventeen thousand two hundred five in scientific notation.A. 6.1720x 10^4B. 6.17205x 10^5C. 6.17205x 10^-5D. 6.17x 10^6 The given Histogram shows the salaries of the employees of Acme Corporation. What is the total number of employees in Acme Corporation? A. 210 B. 300 C. 140 D. 100 PLZ HELP PLZ!Which statement is true about the main idea of text?The main idea of a passage is a lesson about life that the reader and characters can learn.A passage can only be summarized using the main idea of each paragraph.Individual paragraphs often have a main idea that supports the key point of the passage.The main idea of a passage is usually found in the concluding paragraph. What is the value of N ? Write a short story about a visit to someone at hospital