A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.24 cm. A compressive force of F = 7900 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.

Answers

Answer 1

We have that for the Question, it can be said that the amount by which the length of the stack decreases is

[tex]dl'=3.621*10^{-4}m[/tex]

From the question we are told

A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.24 cm.

A compressive force of F = 7900 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.

Generally the equation for copper cylinder   is mathematically given as

[tex]dl=\frac{Flo}{yA}[/tex]

[tex]dl=\frac{7900*3*10^-^2}{1.1*10^{11}*\pi(0.24*10^{-2})^2}[/tex]

[tex]dl=1.19064778*10^-^4[/tex]

Generally the equation for brass cylinder   is mathematically given as

[tex]dl=\frac{7900*5*10^-^2}{9*10^{10}*\pi(0.24*10^{-2})^2}[/tex]

[tex]dl=2.43*10^{-4}[/tex]

Therefore Total change in length

[tex]dl'=1.191*10^-^4+(2.43*10^{-4})[/tex]

[tex]dl'=3.621*10^{-4}m[/tex]

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Related Questions

The range of a target is found to be 20km. A shell leaves a gun with a velocity of 500m/s . What must be the angle of elevation of the gun if the ground is level

Answers

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

The shell experiments a parabolic motion, which is a combination of horizontal uniform motion and vertical uniform accelerated motion. If initial height of the shell is the same that its final height, then the range of the shell ([tex]d[/tex]), in meters, is described by the following expression:

[tex]d = \frac{v^{2}}{g}\cdot \sin 2\theta[/tex] (1)

Where:

[tex]v[/tex] - Initial speed of the shell, in meters per second[tex]g[/tex] - Gravitational acceleration, in meters per square second[tex]\theta[/tex] - Angle of elevation, in sexagesimal degrees

If we know that [tex]v = 500\,\frac{m}{s}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]d = 20000\,m[/tex], then the angle of elevation is:

[tex]\sin 2\theta = \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{d\cdot g}{v^{2}}[/tex]

[tex]\theta = \frac{1}{2}\cdot \sin^{-1} \frac{(20000\,m)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{\left(500\,\frac{m}{s} \right)^{2}}[/tex]

[tex]\theta \approx 25.840^{\circ}[/tex]

The angle of elevation of the shell must be approximately 25.840° in order to have a reach of 20 kilometers.

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How can you cause a cart moving to the right at a constant speed to move to the left at a constant speed.

Answers

Answer:

The answer is below hoped it helped

Explanation:

Forces, when unbalanced, cause objects to accelerate. And the direction of the acceleration is the same as the direction of the extra force. Just because an object is moving to the right does not mean there is more right force than left force. Whether the right or the left force is bigger depends on whether the object is speeding up or slowing down. There must be more right force than left force if an object is moving to the right and speeding up. There must be more left force than right force if an object is moving to the right and slowing down.

what is the name of the spot where man first walked on the moon

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Answer:

the tranquility base

Explanation:

Muốn biểu diễn vectơ lực chúng ta cần phải biết các yếu tố gì

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Một đại lượng vectơ là một lực. Đại lượng vectơ là đại lượng có cả độ lớn và hướng, như chúng ta đã dạy trong phần trước. Bạn phải xác định cả độ lớn (kích thước hoặc số) và hướng của lực tác dụng lên một vật thể để mô tả hoàn toàn nó.

There are many isotopes of the element technetium (TC).
What do the nuclei of different technetium isotopes have in common?
[

Answers

Answer:

hikknn says he is not happy birthday hun

Help, please. I am not sure what to do.

Answers

Answer:

option D) -3m

Explanation:

if 6m is diplaced by -3m then it would be -3+6=3m

feel free to ask if you are confused

explain the production of current with the help of a magnet and describe which device works on this phenomena

Answers

Answer:

Explanation:

The properties of magnets are used to make electricity. Moving magnetic fields pull and push electrons. ... Moving a magnet around a coil of wire, or moving a coil of wire around a magnet, pushes the electrons in the wire and creates an electrical current.

Does the dependenceof the orbital energy on nmake sense in terms of the total number of nodes in each type of orbital?.

Answers

Answer:The 2s orbital different than the 1s orbital because the 2s orbital extends farther from the nucleus than the 1s.

As we move away from the nucleus, the values of the principal quantum number (n) continues to increase.

As the principal quantum number (n) increases, the orbital becomes farther away from the nucleus.

The higher energy orbital are always larger than the orbitals closer to the nucleus.

Hence, the 2s orbital different than the 1s orbital because the 2s orbital extends farther from the nucleus than the 1s.

Explanation:

How to calculate specific heat.

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Need more information to answer this question

Work is required to lift a barbell. How many times more work is required to lift the barbell 2 times as high

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Answer:

2 time

Explanation:

when distance double the work double

What unit of pressure in ideal gas law.

Answers

essure is measured in pascals ( Pa ) — sometimes expressed as newtons per square metre ( N⋅m-2 ). These mean exactly the same thing. Be careful if you are given pressures in kilopascals ( kPa ). For example, 150 kPa = 150 000 Pa

Josh tests an unknown liquid substance using litmus paper. When he compared the used litmus paper to a pH scale, the color matches with a 3.5 of the scale. What kind of substance did Josh test?

Answers

Answer:

acid

Explanation:

because ph below 7 is acid

what tool had allowed scientists to learn about the characteristics of eaths layers???​

Answers

Answer:

seismic waves

Explanation:

i think thats the answer

No links plz!!
Why can't we observe the image of a distant object in a concave mirror, but we can observe in a convex mirror? Both images are diminished.​

Answers

Answer:

Light

Explanation:

The way a concave mirror works is that since it's concave, the light bounces off of each other. a convex mirror, it curved the opposite, and the mirror has no way to bounce off of itself.

I’m not sure what this is… help please

Answers

Answer:

A) Slower

Explanation:

    Less / low energy means less / slower speed.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Which of the following correctly describes the law of conservation of matter?
Group of answer choices

A.) Matter can only be created, but not destroyed in chemical equations

B.) Matter can neither be created nor destroyed during a chemical reaction

C.) Matter can be destroyed during a chemical reaction as long as it is created again in a different reaction

D.) Matter makes up 98% of stuff in the universe, so it has to be created and destroyed sometimes

Answers

Answer:

C

Explanation:

Tama Po yan don't worry

A container on the highway with a round hemispherical end is considered a(n) _________ pressure container.

Answers

Answer:

high pressure container

A container on the highway with a round hemispherical end is considered a(n) High-pressure container.

What is pressure ?

Pressure (symbol: p or P) stands the force involved perpendicular to the surface of an object per unit area over which that force exists distributed. 445 Gauge pressure (even spelled Gage pressure) exists the pressure comparable to the ambient pressure.

Various units exist utilized to represent pressure. Some of these derive from a unit of force separated by a unit of area; the SI unit of pressure, the pascal (Pa), Pressure may also be represented in terms of standard atmospheric pressure; the atmosphere (atm) stands equivalent to this pressure, and the tore exists described as 1⁄760 of this.

Hence, A container on the highway with a round hemispherical end is considered a(n) High-pressure container.

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why do air waves move faster than earthquake waves?

Answers

Answer:

P-waves and S-waves are body waves that propagate through the planet. P-waves travel 60% faster than S-waves on average because the interior of the Earth does not react the same way to both of them. ... The energy is thus less easily transmitted through the medium, and S-waves are slower.

Explanation:

can you give me brainliest

Best definition of an electromagnetic wave?

A) an electromagnetic wave is a longitudinal wave with electricity

B) an electromagnetic wave is a mechanical wave

C) an electromagnetic wave is a transversal wave that has electrical and magnetic properties

Answers

Answer:

Longitudinal and mechanical waves require a medium to support their transmission:

C) is the correct answer

What kind of cord is this no links please

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Answer:

if i'm not mistaken that's either a plug in cord for a certain device, or what i am assuming to be a usb software cord.

Explanation:

Alejandro Kirk is the catcher for the Blue Jays’ baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m.
Determine is the acceleration of the ball.
Determine the force applied by Alejandro.

Answers

The kinematics and Newton's second law allow to find the results for the questions about the motion of the ball are:

The acceleration is: a = 5.4 10³ m / s² The force is: F = 7.84 10² N

Given parameters

Mass of the ball m = 0.145 kg Ball starts speed vo = 38.2 m / s Setback distance x = 0.135 m

To find

Acceleration The force

Kinematics studies the movement of bodies, looking for relationships between the position, speed and acceleration of bodies.

         v² = v₀² - 2 ax

Wher vo es la initial veloicity, a the acceleration y x is the distance,

When the ball stops the velocity is zero.

         0 = v₀² - 2ax

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

Let's calculate

         a = [tex]\frac{38.2^2}{2 \ 0.135}[/tex]  

         a = 5.4 10³ m / s²

Newton's second law establishes a relationship between force, mass, and acceleration of the body.

             F = ma

             F = 0.145 5.4 10³

             F = 7.84 10² N

In conclusion using kinematics and Newton's second law we can find the results for the questions about the motion of the ball are:

The acceleration is: a = 5.4 10³ m / s² The force is: F = 7.84 10² N

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what are the musical instrument of liturgy and devitional music.


help me plssss​

Answers

Answer:  A hymn which accompanies religious observances and rituals.   And others like guitar, violin, flute, harp and the organ

Explanation: Gradually people instructed the natives not only in singing but also in playing various instruments like guitar, violin, flute, harp and later on, the organ.

Which event happens in a solar cell when the photoelectric effect occurs?
A. Electromagnetic waves strike the transparent glass on the top of
the cell, removing electrons from it.
B. The wave model of light is supported, but the particle model is
not.
C. A current forms when electromagnetic waves strike a
semiconductor, removing some of its electrons.
the
D. Electrons flow from the positively charged semiconductor to
negatively charged one.

Answers

Answer:

current forms when electromagnetic waves strike a semiconductor, removing some of its electrons.

Explanation:

Answer:

current forms when electromagnetic waves strike a semiconductor, removing some of its electrons.

trust me i just did it

Explanation:

What is the mass, in kilograms, of a large dog that weighs 441 newtons?​

Answers

Answer:

441 Newtons equals 44.97 kilograms.

What quantity is represented by the mass number minus the atomic number?.

Answers

Answer:

Mass = mass of nucleus

Atomic Number = number of protons (charge) of nucleus

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Inertia causes bodies to slow in their motion, unless they’re pushed by a force.
Inertia resists changes to the state of motion of a body.
Inertia decelerates a body.
Inertia is due to friction.

Answers

Answer:

ill go with B

Explanation:

inertia is the ability of a body to remain at rest or in a constant speed in a constant direction when no force is acting on it

What is the acceleration of an elevator that weighs 5200 kg with a force of 35 N ?

Answers

Answer:

0.007 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{35}{5200} = 0.006730 \\ [/tex]

We have the final answer as

0.007 m/s²

Hope this helps you

What is the force that makes planets ring around it? ANSWER IT IF YOU ARE SMART​

Answers

Answer:

gravitational force make the planet move around the sun on its orbit

Answer:

gravitational force makes planets orbit the sun

Voltage ______

Question 1 options:

is measured in Volts


causes current


pushes free electrons around a circuit


all of the choices

Answers

all of the choices.

Explanation:

....

Suppose that a cart is moving along a road at a constant velocity. Give two examples of ways to cause the cart to decelerate, explaining how the net force is affected. (2 points)

Answers

The cart moving at a constant velocity will decelerate when a braking force is applied or the road is made to become rougher.

Deceleration is also known as negative acceleration. It occurs when velocity decreases with time. There are two ways by which the cart moving at constant velocity can be made to decelerate. These two ways are;

By applying a braking force: A braking force causes the velocity to decrease with time. When a braking force is applied the frictional force exceeds the forward force hence the net force decreases.By increasing the roughness of the road: When the roughness of the road is increased, the frictional force also increases causing the net force on the cart to decrease hence it decelerates.

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