3. Two wires increase in length by the same amount when both their temperatures increase by the same amount, as shown in the diagram. Before the temperature increase, the longer wire is 1.2525 m long. The shorter wire’s linear coefficient of thermal expansion is 1.135 times that of the longer wire. How much shorter is the shorter wire before the temperature increase? Answer to three significant figures
Viết cho Ngọc Khánh

Answers

Answer 1

Two wires increase in length by the same amount when both their temperatures increase by the same amount, the shortness of the wire before the temperature increase is mathematically given as

dL=0.1485m

How much shorter is the shorter wire before the temperature increase?

Generally, the equation for change in length is mathematically given as

[tex]dl=lo \alpha dt[/tex]

Therefore

dl1=dl2

Where

a2=1.35a1

Hence

a1l1dt= a2l2dt

a1(1.2525)= a1*(1.135)(l2)

L2=1.104m

In conclusion, a change in length due to temperature is

dL=1.2525-1.104m

dL=0.1485m

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Related Questions

Why is the contribution of the wavelets lying on the back of secondary wave front zero?​

Answers

Answer:

The contribution of the wavelets lying on the back of the wave front is zero because of something known as the Obliquity Factor. It is assumed that the amplitude of the secondary wavelets is not independent of the direction of propagation, Sources: byju's.com

According to the Voigt and Kirchhoff's law for wavelets, the contribution of a wavelet in any direction making an angle x with the normal to the wavelet is proportional to {1+cos(x)/2)}

For wavelet lying on the back of secondary wavefront,

x = 180°

→ So, the proportional factor:

→ {1+cos(180°)/2}

→ (1-1/2)

→ (0/2)

→ 0

That's why the contribution of the wavelets lying on the back of secondary wave front is zero

Which dog has the most kinetic energy? A. A dog of mass 12 kg running with speed 6 m/s B. A dog of mass 10 kg running with speed 3 m/s C. A dog of mass 16 kg running with speed 5 m/s D. A dog of mass 14 kg running with speed 4 m/s​

Answers

Answer:

A

Explanation:

KE = 1/2 m v^2

     the greatest is  A

According to the law of conservation of energy, which changes would INCREASE the total energy of a system?
A. An addition of 400 J of thermal energy and a loss of 550 J of kinetic energy
B. An addition of 200 J of thermal energy and a loss of 550 J of thermal energy
C. An addition of 300 J of GPE and a loss of 450 J of thermal energy
D. An addition of 500 J of kinetic energy and a loss of 450 J of thermal energy

Answers

The changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.

What is conservation of energy?

The term conservation of energy means that energy can not be created nor destroyed.

In this case, the changes that would increase the total energy of a system is an addition of 500 J of kinetic energy and a loss of 450 J of thermal energy.

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Study the image.

Which of the following choices best explains how the lever made the task easier?

The final force on the rock was the same as the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, so the total work decreased.

The final force on the rock was greater than the original force from the person and the distance the rock traveled was smaller than the original distance the lever moved, but the total work remained the same.

The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

The final force on the rock was greater than the original force from the person and the distance the rock traveled was the same as the original distance the lever moved, so the total work increased.

Answers

The final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

What is the law of conservation of energy?

The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.

The total work done on the process will be conserved.

The lever is a simple machine which makes work easier by reducing the force applied to the load and increasing the distance traveled by the load.

Thus, the final force on the rock was smaller than the original force from the person and the distance the rock traveled was greater than the original distance the lever moved, so the total work stayed the same.

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Calculate the current through the ammeter (look at photo)

Answers

Answer:

6 amps

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1. Identify Give three examples of kinetic energy and three examples of potential energy .

Answers

Answer:

Examples of Gravitational Potential Energy

A raised weight.

Water that is behind a dam.

A car that is parked at the top of a hill.

A yoyo before it is released.

River water at the top of a waterfall.

A book on a table before it falls.

A child at the top of a slide.

Ripe fruit before it falls.

Explanation:

Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.

You observe your friend standing in line at the cafeteria. You conclude they are buying lunch today. This is an example of: A. A scientific theory. B. An independent variable. C. An inference. D. A hypothesis

Answers

Answer:

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Explanation:

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Three sticks are arranged to form a right triangle. If the lengths of the three sticks are 0.47 m, 0.62 m and 0.78 m, what are the three angles of the triangle?

Answers

The angles in the triangle are 91 degrees, 53 degrees and 36 degrees respectively.

What is the cosine rule?

From the cosine rule we know that;

c^2 = a^2 + b^2 - 2abcosC

Since;

a = 0.47 m

b =  0.62 m

c =  0.78 m

Then;

(0.78)^2 = (0.47)^2 + (0.62)^2 - 2(0.47 * 0.62)cosC

0.61 = 0.22 + 0.38 - 0.58 cosC

0.61 - ( 0.22 + 0.38) = - 0.58 cosC

0.01 = - 0.58 cosC

C = cos-1(0.01/-0.58)

C = 91 degrees

Using the sine rule;

b/Sin B = c/Sin C

0.62/sinB = 0.78/sin 91

0.62/Sin B = 0.78

B = sin-1 (0.62//0.78)

B = 53 degrees

Angle A is obtained from the sum of angles in a triangle;

180 - (91 + 53)

A = 36 degrees

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A car starts from rest and coasts down a hill with a constant acceleration.If it goes 90m in 8s,find the acceleration and velocity after 8s.​​​

Answers

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The power in a circuit is 2 W and the voltage is 20 VDC. What's the circuit current?

Answers

Answer:

Power in the circuit is 0.1 amp

Explanation:

The power in the circuit is given by the formula

      P = V x I

Where P is Power, V is voltage supplied and I is current in circuit.

so,      I = P/v

            = 2/20

            =0.1 A

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Classify each characteristic as either a metal or a nonmetal.
shiny surface
dull surface
good conductor of electricity
good conductor of heat
poor conductor of electricity
poor conductor of heat
malleable
brittle

Answers

Answer:

metal, non, metal, metal, non, non, metal, non

Explanation:

knowledge

Why is digital forensics important?

Answers

Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.

3. Harris is putting in a three-phase Y-Y-
connected transformer bank and the
secondary line-to-line voltage is 208 V.
What's the line-to-neutral voltage?
O A. 120 V
O B. 359 V
C. 69 V
O D. 240 V

Answers

120V is the line-to-neutral voltage .

What is Line Voltage ?

It is defined as the voltage of a power transmission circuit or distribution circuit up to the point of transformation or utilization.

The secondary line voltage is [tex]V_{L} = 280 V[/tex]

The notation AC indicates that the current is an alternating current.

The given formula is [tex]V_{ph} = \frac{V_{L} }{\sqrt{3} }[/tex]

Substitute  208 V into the formula

[tex]V_{ph} = \frac{V_{L} }{\sqrt{3} } \\\\V_{ph} = \frac{208V}{\sqrt{3} } \\\\= 120 (Approx)[/tex]

So, the line-to-neutral voltage is 120 V.

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A car of mass 500 kg is moving at a speed of 1.2 m/s. A man pushes the car, increasing the speed to 2 m/s. How much work did the man do?
A. 1360 J
B. 360 J
C. 640 J
D. 1000 J​

Answers

Answer:

Option B - 360 J

Explanation:

One of the formulas used to find out how much work was done is :

E = 0.5×m×v² (where m is the mass and v is the velocity)

Now we substitute values from the question and simplify :

E = 0.5×500×1.2²

E = 250×1.2²

E = 250×1.44

E = 360 J

So our answer is Option B

Hope this helped and have a good day

How do light waves differ from sound waves?

Answers

Answer:

Light waves are electromagnetic waves while sound waves are mechanical waves. :)

Light waves are electromagnetic. And, sound waves are mechanical.
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Answers

Answer:

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You input potential (stored) energy into the rubber band system when you stretched the rubber band back. Because it is an elastic system, this kind of potential energy is specifically called elastic potential energy.

Explanation:

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