the length of iron rod at 100 C is 300.36 cm and at 159 C is 300.54 cm.Calculate its length at 0 c and coefficient of linear expansion of iron​

Answers

Answer 1

Answer:

The length at 0 °C is 300.05 cm

Coefficient of linear expansion of iron is 1.02×10¯⁵ C¯¹

Explanation:

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

Length (L₁) at 100 °C = 300.36 cm

Temperature 1 (θ₁) = 100 °C

Length (L₂) at 159 °C = 300.54 cm

Temperature 2 (θ₂) = 159 °C

Length (L₀) at 0 °C =?

Coefficient of linear expansion (α) =?

L₁ = L₀ (1 + θ₁α)

300.36 = L₀ (1 + 100α) ....(1)

L₂ = L₀ (1 + θ₂α)

300.54 = L₀ (1 + 159α) ..... (2)

Divide equation (2) by (1)

300.54 / 300.36 = L₀ (1 + 159α) / L₀ (1 + 100α)

1.0006 = (1 + 159α) / (1 + 100α)

Cross multiply

1.0006 (1 + 100α) = (1 + 159α)

1.0006 + 100.06α = 1 + 159α

Collect like terms

1.0006 – 1 = 159α – 100.06α

0.0006 = 58.94α

Divide both side by 58.94

α = 0.0006 / 58.94

α = 1.02×10¯⁵ C¯¹

Substitute the value of α into anything of the equation to obtain L₀. Here we shall use equation (2).

300.54 = L₀ (1 + 159α)

α = 1.02×10¯⁵ C¯¹

300.54 = L₀ (1 + 159 ×1.02×10¯⁵)

300.54 = L₀ (1 + 0.0016218)

300.54 = L₀ (1.0016218)

Divide both side by 1.0016

L₀ = 300.54 / 1.0016

L₀ = 300.05 cm

Summary:

The length at 0 °C is 300.05 cm

Coefficient of linear expansion of iron is 1.02×10¯⁵ C¯¹


Related Questions

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
-26
-2.
ОООО
2
26

Answers

Answer:

Answer is -2.

Explanation:

I hope it's helpful!

Answer:

neg 2

Explanation:

A person wants to redesign a large room in a house to have less echoing of sound and more sunlight. Which design solution will best match the persons needs?

(A.) Hang curtains over the windows that will transmit sound waves and absorb light waves.

(B.) add pillows to the furniture that will reflect sound waves and refract light waves.

(C.) Place a thick white carpet on the floor that will absorb sound waves and reflect light waves.

(D.) Add a large mirror on the wall that will refract sound waves and reflect light waves.

Answers

Answer:

(A.) Hang curtains over the windows that will transmit sound waves and absorb light waves

Mary is investigating the densities of objects. She is going to use the table below to record her results. Which of these can she find using a ruler?

Answers

answer

block of aluminium

Block of aluminum investigating the densities of objects. She is going to use the table below to record her results.

What is a block of aluminum?

A block of Aluminum is a block added by Tinkers' Construct. Block of Aluminum is primarily used as a storage block for Aluminum Ingots but may also be used as decoration.

What are 3 uses of aluminum?

Aluminum is used in a huge variety of products including cans, foils, kitchen utensils, window frames, beer kegs, and airplane parts. This is because of its particular properties.

Learn more about Blocks of aluminum at

https://brainly.com/question/3396043

#SPJ2

Which shows zero as significant digits? Check all that apply.

0.02

7.560

430

604

70,230

Answers

Answer:

0.02

430

604

70,230

Explanation:

⇒zero in-between two digits or at the end of a whole is considered significant, example 604, 430, 70,230.

⇒zero at the end of a number with decimal point is not significant, example 7.560

zero before a digit in a number with decimal point is significant, example 0.02

Thus, the numbers which show zero as a significant digits include;

0.02

430

604

70,230

Which model shows how an image appears to a person when they look through a concave lens?

Answers

What models are you talking about

A 10 kg blue cart moving to the right at 25 m/s collides with a 17 kg red cart moving in the opposite direction at 16 m/s. If, after the collision, the blue cart's velocity is reduced to 10 m/s, how fast and in what direction is the red cart moving?

Answers

Answer:

24.8m/s

Explanation:

Given data

m1= 10kg

u1=25m/s

m2=17kg

u2=16m/s

v1=10m/s

v2=??

Applying the conservation of linear momentum

m1u1+m2u2=m1v1+m2v2

substitute

10*25+17*16=10*10+17*v2

250+272=100+17v2

522=100+17v2

522-100=17v2

422=17v2

Divide both sides by 17

v2= 422/17

v2= 24.8 m/s

Hence the velocity of the red cart is 24.8m/s in the opposite direction of the blue cart

the question is in the photo. please help​

Answers

Answer:

Its B for your question

Explanation:

its B hope it helps

awnser:

C

Explanation:

An object accelerates in the same direction as that of force applied

Dos cargas electrica 6x10°6 C Y 3X10°6 C se encuentra sepadas 0,5 m. ¿Cual es la Magnitud de la fuerza de atraccion entre las cargas?

Answers

Answer:

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

Explanation:

La fuerza eléctrica de atracción entre dos partículas cargadas eléctricamente es determinada por la ley de Coulomb, la cual dice que la fuerza eléctrica es directamente proporcional a la carga eléctrica e inversamente proporcional de la distancia entre las partículas. Matemáticamente hablando, la formula es descrita a continuación:

[tex]F = \kappa\cdot \frac{q_{A}\cdot q_{B}}{r^{2}}[/tex] (1)

Donde:

[tex]F[/tex] - Fuerza electrostática, medida en newtons.

[tex]\kappa[/tex] - Constante electrostática, medida en newton-metros cuadrados por Coulomb cuadrado.

[tex]q_{A}[/tex], [tex]q_{B}[/tex] - Cargas eléctricas, medidas en Coulomb.

[tex]r[/tex] - Distancia entre partículas, medidas en metros.

Si sabemos que [tex]\kappa = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex], [tex]q_{A} = 6\times 10^{-6}\,C[/tex], [tex]q_{B} = 3\times 10^{-6}\,C[/tex] y [tex]r = 0.5\,m[/tex], entonces la magnitud de la fuerza de atracción entre las cargas es:

[tex]F = \left(9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot \frac{(6\times 10^{-6}\,C)\cdot (3\times 10^{-6}\,C)}{(0.5\,m)^{2}}[/tex]

[tex]F = 0.648\,N[/tex]

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

A student is creating a table with properties of electromagnetic and mechanical waves.

Answers

Answer:

The property of the wave marked X is related to the source of the wave

Explanation:

The source of of origin of waves

Electromagnetic wave are waves that consists of varying electric and magnetic field that vibrate perpendicular to each other and to the direction of propagation of the wave and they are therefore transverse waves and transfer energy

Electromagnetic waves originate from the vibration of charged particles that gives off varying electric and magnetic fields

Mechanical waves are defined as waves that require a material medium such as air, water, metal, plastic, stretched leather, or wood to propagate

Mechanical waves originate from vibration of the particles of a medium

Sound waves which is a form of longitudinal mechanical waves that propagates by the vibration of the particles of a given medium about a point parallel to the direction of propagation of the wave.

A 10.0 kg bowling ball is moving at 10 m/s when it strikes a 20 kg bowling pin. After the collision,

the pin moves forward at 15 m/s. How fast is the ball moving after it hits the pin?

Answers

Answer: 20 m/s

Explanation:

Given

mass of bowling ball m=10 kg

Mass of bowling pin M=20 kg

The initial velocity of ball u=10 m/s

The velocity of the pin after collision [tex]v_2=15\ m/s[/tex]

Conserving linear momentum as there is no external force applied

[tex]mu=mv_1+Mv_2\quad \quad (v_1=\text{velocity of ball after collision})[/tex]

[tex]10\times10=10\times v_1+20\times15\\10v_1=100-300\\v_1=-20\ m/s[/tex]

i.e. ball started moving in the direction opposite of its initial direction with a velocity of 20 m/s

The ball moves backwards with a velocity of -20m/s

The data given are;

m[tex]_1[/tex] = 10kgm[tex]_2[/tex] = 20kgu[tex]_1[/tex] = 10m/sv[tex]_1[/tex] = ?v[tex]_2[/tex] = 15m/sLaw of conservation of linear momentum

This law states that assuming no external forces are acting, when two bodies collide together, the sum of their initial momentum remains constant and it's not changed by their collision.

Applying the law of conservation of linear momentum

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2\\(10*10) + (20*0) = (10*v_1)+(20*15)\\100+0=10v_1+300[/tex]

collect like terms

[tex]100=10v_1+300\\100-300=10v_1\\-200=10v_1\\v_1=\frac{-200}{10}\\v_1=-20m/s[/tex]

This shows that the balls moves backwards hence the reason why it have a negative velocity.

From the calculation above, the ball moves backwards with a velocity of -20m/s.

Learn more on conservation of linear momentum here;

https://brainly.com/question/7538238

https://brainly.com/question/25545050

write any three reasons to separate the mixtures?​

Answers

Answer:

people separate mixtures in order to ger a specific substance that they need. 2. the other thing people separate mixtures to remove the unrequired components. 3.To get a pure substance

Explanation:

hope this helps probably don't because you asked this a week ago but have a good day :) ❤

Two light bulbs are equally bright, but one has a power of 6 W while the other has a power of 10 W. In one hour the higher power bulb uses J more energy than the lower power bulb.

Answers

If this is a t/f This is true.

Which of the following is not a benefit of being multicellular?

Answers

we can't see multicellular animal with our naked eyes

Hun, you have to put what the following is

Planet X has twice earths mass and three times earths radius. The magnitude of the gravitational field near planet X’s surface is most nearly.

Answers

Answer:

2 N/kg

- The explanation for it is quite complicated, especially to type it out but I hope this helps.

The magnitude of the gravitational field should be 2 N/kg.

Calculation of the magnitude of the gravitational field:

Since Planet X has twice earths mass and three times earths radius.

So,

we know that  

[tex]g = GM\div r^2[/tex]

here, G = gravitational constant

M = mass of the planet

r = radius of the planet

So,

[tex]g\div gx = (M1\div M2) \times (r2\div r1) ^{2}\\\\9.8\div gx = (1\div 2) \times (3\div 1) ^2\\\\gx = 2.18 m/s^2[/tex]

So it is nearly 2 N/kg

hence, The magnitude of the gravitational field should be 2 N/kg.

learn more about mass here: https://brainly.com/question/93252

Dos cargas eléctrica 6x10°6 C Y 3X10°6 C se encuentra sepadas 0,5 m. ¿Cual es la Magnitud de la fuerza de atracción entre las cargas?

Answers

Answer:

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

Explanation:

El enunciado escrito correctamente se presenta a continuación:

Dos cargas eléctricas de polaridades opuestas entre sí y con magnitudes [tex]6\times 10^{-6}\,C[/tex] y [tex]3\times 10^{-6}\,C[/tex] se encuentran separados 0.5 metros. ¿Cuál es la magnitud de la fuerza de atracción entre las cargas?

La magnitud de la fuerza eléctrica entre las dos partículas cargadas eléctricamente se determina mediante la ley de Coulomb, la cual establece que la fuerza eléctrica es directamente proporcional a la carga eléctrica e inversamente proporcional al cuadrado de la distancia. En términos matemáticos, la ecuación de Coulomb se expresa de la siguiente manera:

[tex]F = \frac{\kappa \cdot q_{A}\cdot q_{B}}{r^{2}}[/tex] (1)

Donde:

[tex]\kappa[/tex] - Constante electrostática, medida en newton-metros cuadrados por Coulomb cuadrado.

[tex]q_{A}[/tex], [tex]q_{B}[/tex] - Cargas eléctricas de cada partícula, medidas en Coulomb.

[tex]r[/tex] - Distancia entre las partículas, medidas en metros.

Si tenemos que [tex]\kappa = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex],  [tex]q_{A} = 6\times 10^{-6}\,C[/tex], [tex]q_{B} = 3\times 10^{-6}\,C[/tex] y [tex]r = 0.5\,m[/tex], entonces la fuerza eléctrica de atracción es:

[tex]F = \frac{\left(9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (6\times 10^{-6}\,C)\cdot (3\times 10^{-6}\,C)}{(0.5\,m)^{2}}[/tex]

[tex]F = 0.648\,N[/tex]

La magnitud de la fuerza de atracción entre las cargas es 0.648 newtons.

A farmer designs a corn plant that produces multicolored kernels by crossing a plant that has yellow kernels with a plant that has red kernels? Which of these describes the process the farmer uses? А. Natural selection B. Selective breeding C. Genetic engineering D. Asexual reproduction​

Answers

Answer:

b

Explanation:

B is the answer because Selective breeding is taking two organisms and crossing them.

If the acceleration of motorboat is 4m/s^2 and the motorboat stsrtsfrol.Rest what is velocity after 6.0 s

Answers

Answer:

24 m/s

Explanation:

Using v = u + at where u = initial velocity of the motorboat = 0 m/s (since the boat starts from rest), a = acceleration = 4 m/s², t = time = 6 s and v = velocity of the motorboat after 6.0 s.

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

v = u + at

= 0 m/s + 4 m/s² × 6.0 s

= 0 m/s + 24 m/s

= 24 m/s

True or false 6.02x10^23 atoms of oxygen have a mass of 16g ?

Answers

Answer:

True

Explanation:

The atomic mass of oxygen is 16amu, which means the molar mass, the mass of one mole of oxygen atoms (1 mole = 6.02x10²³), is 16g.

28 + 11 =
7 + 12 =
15 + 2 =
22 + 1 =
45 + 2 =
18 + 2 =
7 + 11 =
10 + 11 =
12 + 10 =
11 + 2 =
15 + 10 =
16 + 12 =
2 + 24 =
62 + 10 =
98 + 2 =
12 + 3 =
18 + 12 =
2 + 17 =
14 + 11 =
2 + 40 =
Vertical Addition 1 + 1 = 2

Answers

Explanation:

28 + 11 = 39

7 + 12 = 17

15 + 2 = 17

22 + 1 = 23

45 + 2 = 47

18 + 2 = 20

7 + 11 = 18

10 + 11 = 21

12 + 10 = 22

11 + 2 = 13

15 + 10 = 25

16 + 12 = 28

2 + 24 = 26

62 + 10 = 72

98 + 2 = 100

12 + 3 = 15

18 + 12 = 30

2 + 17 = 19

14 + 11 = 25

2 + 40 = 42

what is mks system and cgs system

Answers

Answer:

The MKS system of units is a physical system of measurement that uses the metre, kilogram, and second (MKS) as base units. Adopted in 1889, use of the MKS system of units succeeded the centimetre–gram–second system of units (CGS) in commerce and engineering.

What are the main organs of the respiratory system that are located in the rib cage

Answers

Answer:

Larynx.

Pharynx.

Lungs.

Diaphragm.

Explanation:

Answer:

Larynx, Pharynx, Lungs, and Diaphragm.

Explanation:

If she runs 3,223 meters each day and keeps this up for two weeks, how many miles will she have run

Answers

Answer:

28 miles

Explanation:

3,223 meters/day x 14 days = 45,122 meters

1 meter = 3.28 feet

45,122 meters = 148,000 feet

5280 feet = 1 mile

148,000 feet = 28 miles

Learning Task 1: Determine what kind of carbon allotropes are the given pictures
below based on its different structural modifications. Write your answer in a
separate sheet of paper.
1.
2.
3.
4.
5.
6.​

Answers

Answer:

1.C70

2.Fullerene

3.Lonsdaleite

4.Graphite

5.Diamond

6.Amorphous carbon

I hope this helps. thank you

Explanation:

The compound of an element is arranged in a manner in more than one different form.

The example of an allotrope is as follows:-

GraphiteDiamond

The allotropes which are shown in the image is as follows:-

C70 Fullerene Lonsdaleite Graphite Diamond Amorphous carbon

Hence, these are the allotropes.

For more information, refer to the link:-

https://brainly.com/question/2127750

WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back idc !!!!!!


This political cartoon summarizes proposed legislation to stop immigration into the United States through the use of

A. Income


B. Military force


C. Building a barrier wall


D. Educational requirements

Answers

Answer:

b

Explanation:

James Bond is unconscious in a 1000kg car full of explosive on a very dangerous road. After starting from rest at the top of the hill (point A), the car reaches the flat (horizontal) part of the road. At the beginning of the flat(horizontal) part, Bond regains the consciousness and applies brakes. The car skids across the horizontal road while slowing. The car, full of explosive, stops just as it reaches the far edge of the 50 m flat (horizontal) part of the road. What constant breaking force would have to be applied for the car to make a safe stop in a horizontal distance of 50 m?

Answers

Answer:

F = 19600 N

Explanation:

After reading this interesting exercise, I think you are missing the diagram, but we are going to solve them assuming the height of the hill, point A of about h = 100m.

Let's start by using the concepts of energy, to find the speed at the bottom of the hill

Starting point. Point A highest part of the colima

         Em₀ = U = m g h

Final point. Flat part.

         [tex]Em_{f}[/tex] = k = ½ m v²

as they tell us that there is no friction, energy is conserved

        Em₀ = Em_{f}

        mgh = ½ m v²

        v = √2gh

let's calculate

        v = √ (2 9.8 100)

         v = 44.27 m / s

Now we can use the scientific expressions, when it stops its speed is zero

         v² = v₀² - 2 a x

          0 = v₀² - 2ax

          a = [tex]\frac{ v_{o}^2 }{2x}[/tex]

          a = [tex]\frac{ 44.27^{2} }{ 2 \ 50}[/tex]

          a = 19.6 m / s²

with this acceleration we use Newton's second law

           f = m a

           F = 1000 19.6

           F = 19600 N

A 20-kilogram child is riding on a 10-kg sled over a frictionless icy surface at 8.0 meters per second. Calculate the kinetic energy of the sled with the child.

Answers

Answer:

K = 960 J

Explanation:

Given that,

Mass of a child = 20 kg

Mass of a sled = 10 kg

Speed of child on sled = 8 m/s

We need to find the kinetic energy of the sled with the child.

The total mass of child and the sled = 20 kg + 10 kg

= 30 kg

The formula for the kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 30\times (8)^2\\\\K=960\ J[/tex]

Hence, the kinetic energy of the sled with the child is 960 J.

Why does the Moon orbit Earth?
a
There is magnetic attraction between the Earth and
the Moon
b
There is gravitational attraction between the Earth
and the Moon
с
There is chemical attraction between the Earth and
the Moon
d
There is mechanical attraction between the Earth
and the Moon

Answers

Answer:

B

Explanation:

Gravity, the attractive force between all masses, is what keeps the planets in orbit. Newton’s universal law of gravitation relates the gravitational force to mass and distance

The force of gravity is what gives us our sense of weight. Unlike mass, which is constant, weight can vary depending on the force of gravity (or acceleration) you feel. When Kepler’s laws are reexamined in the light of Newton’s gravitational law, it becomes clear that the masses of both objects are important for the third law, which becomes a3 = (M1+ M2) × P2. Mutual gravitational effects permit us to calculate the masses of astronomical objects, from comets to galaxies.

Which is faster a velocity of + 3 m /s or -4 m / s

Answers

Answer: Velocity of 3m is the faster

Explanation: Velocity of 3m is the faster because velocity of -4m goes in an opposite direction to positive velocities

What determines the appearance of water?

A. Molecules are too tiny to see.
B. The way the water molecules move.
C. Large scale observations that can be made with the human eye.

Answers

Answer:

b

Explanation:

the different ways the molecules are arranged in the atom creates differ states of matter and different appearences.

Describe the energy of the skier at location W.*

At point W, potential energy is greatest and kinetic energy is least.
At point W, potential energy is least and kinetic energy is greatest.
At point W, potential energy and kinetic energy are the same.

Answers

Answer:

The description of the energy of the skier at point W is,

At point W, potential energy is greatest and kinetic energy is least

Explanation:

The given parameters are;

The highest point of the skier's path = Point W

The lowest point of the skier's path = Point X

The height of the peak after point X = Intermediate between point W and point X

The potential energy of the skier, P.E. = m·g·h

The kinetic energy of the skier, K.E. = 1/2·m·v²

The total mechanical energy of the skier, M.E. = P.E. + K.E.= Constant

Where;

m = The mass of the skier

g = The acceleration due to gravity = 9.8 m/s²

h = The height of the skier

v = The velocity of the skier

Therefore, the P.E. of the skier is highest at the highest point of the skier's path which is the point W, where h = Maximum

Similarly, the potential energy of the skier will be lowest at point X which is the lowest point on the skier's path

From P.E. + K.E. = constant, the kinetic energy will be least at point W, where the potential energy is highest.

Therefore, the description of the energy of the skier at point W is that the potential energy is greatest and kinetic energy is least.

Other Questions
Which expression is modeled on the number line help plz any one 1. In each of the following questions find the density. State the units of your answer. Mass 45g, volume 5cm3 HELPPPPPPP! ill mark brainlist or whateva its called How did industrialization impact farmers during the Gilded Age? Which change happens during evaporation?A. A gas turns into a liquid.B. A liquid turns into a gas.C. A solid turns into a liquid.D. A liquid turns into a solid. i giveeeee brainlilsttt pls helppppppp What is not an example of feedback?the temperature in the room questioning lookslaughter questions PLEASE HELP ME T_T I NEED IT NOW ): A pole that is 3.4 m tall casts a shadow that is 1.01 m long At the same time, a nearby tower casts a shadow that is 49.75 m long . How tall is the tower? Round your answer to the nearest meter.? True or False: A text always only has one tone. What is the if v = 50 m/s and = 10 m? Rewrite the decimal as a simple fraction in lowest terms. 0.005 can someone help me? A car with a mass of 1000 kg crashes into a wall. The acceleration before the crash was 5 m/s2. What is the force m=p/n+4 make n the subject At the start of the napkin aisle, you seea list of the different package options,shown in the table below.Are the price of napkins and thenumber of napkins in each packageproportional to each other? Why orwhy not? 2. What is one aspect of your life that you think could benefit from more creative thinking? Why?3. What is one thing you can do to think more creatively or incorporate creative ideas into your artwork? Change to the Past Continuous From.1. They chose their new hats...................................................... Information For The Question:Maya makes trail mix by combining 1\4 cup of mixed nuts, 1\3 cup of dried fruit, and 1\6 cup of chocolate morsels. Question:What is the total amount of ingredients in her trail mix using 12 as the Denominator? Solve the system using the substitution method.2x+y=7x=3yDemonstrate how you substituted to write an equation in one variable.