A wire of length 5.50 m with a cross-sectional area of 0.100 cm2 is stretched by 6.80 mm when a load of 1.00 kN is hung.
(a) Calculate the Young's modulus of this wire.
(b) Knowing that the mass density of the wire is rho=8700kg/m3 calculate the speed of propagation of sound on the wire.
(c) Is the calculated speed transversal or longitudinal? Justify your answer.

Answers

Answer 1

a) Young's modulus of this wire is \(80,907,029 N/m^2\) b) The speed of propagation of sound on the wire is 96.4 m/s. c) The calculated speed of sound is a longitudinal speed.

(a) To calculate Young's modulus of the wire, we can use the formula: Young's modulus (Y) = (Stress) / (Strain)
Stress = Force / Area
Strain = Change in Length / Original Length

Given:
Length (L) = 5.50 m
Cross-sectional area (A) =\(0.100 cm^2 = 0.0000100 m^2 (converted  to m^2)\)
Change in length (∆L) = 6.80 mm = 0.00680 m (converted to m)
Force (F) = 1.00 kN = 1000 N (converted to N)

First, let's calculate stress and strain:
Stress = F / A = \(1000 N / 0.0000100 m^2 = 100,000,000 N/m^2\)
Strain = ∆L / L = 0.00680 m / 5.50 m = 0.001236

Now, we can calculate Young's modulus:
Y = Stress / Strain = \(100,000,000 N/m^2 / 0.001236 = 80,907,029 N/m^2\)

(b) To calculate the speed of propagation of sound on the wire, we can use the formula:

Speed of sound (v) = \(sqrt(Y / ρ)\)

Given:
Mass density (ρ) =\(8700 kg/m^3\)
Young's modulus (Y) =\(80,907,029 N/m^2\)

Now, we can calculate the speed of sound:
\(v = sqrt(80,907,029 N/m^2 / 8700 kg/m^3) = sqrt(9297.6 m^2/s^2) = 96.4 m/s\)

(c) The calculated speed of sound is a longitudinal speed. This is because the speed of sound in a solid medium, such as a wire, is related to the compressions and rarefactions of the material along the direction of propagation, which characterizes a longitudinal wave.

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Related Questions

The baker needs 9 eggs, 6 cups of flour, 3 cups of sugar, and 3 sticks of butter to make a total of 3 cakes.. The baker only has 2 sticks of butter. That means the butter is the ___________ because the baker can only make 2 cakes!
Question 19 options:


Product


Reactant


Limiting reactant


Spontaneous reactant

Answers

Answer: Limiting reactant

Explanation:

The limiting reactant is a reactant will get completely consumed up in the reaction. This reactant being in low concentration will lead to the formation of limited amount of product.

In the given situation, since the butter cakes are required to be 3 sticks for making 3 cakes but only 2 cakes are available thus the butter stick is the limiting reactant.

thermal noise is unavoidable and can literally be found everywhere in the universe because it is due to _______ motion of ________ in electrical circuits?

Answers

Thermal noise is the unavoidable noise that occurs due to the thermal motion of particles in electrical circuits.

This type of noise is present everywhere in the universe as it is due to the thermal motion of particles.

This thermal motion is the random movement of particles that is a result of their temperature. At higher temperatures, the particles in a substance have a higher thermal motion, which results in more thermal noise.

The electrical circuit has resistance, and when a current flows through it, the resistance causes collisions between electrons and other atoms. This interaction between the moving electrons and atoms in the conductor produces thermal noise.

Thermal noise is proportional to the temperature of the conductor and is independent of the current or voltage of the signal passing through it. The power of thermal noise is given by the formula P = kTB, where k is Boltzmann's constant, T is the temperature in Kelvin, and B is the bandwidth of the signal.

Hence, it can be deduced that thermal noise is an inevitable occurrence present universally, as it arises from the thermal agitation of particles within electrical circuits. This phenomenon pervades various environments and cannot be eliminated.

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8. A skydiver, with a weight on Earth of 1470 N, jumps on a foreign planet and after 5 seconds the net force acting an him is 600 N downward as he encounters an alien air resistance of 300 N. What is gravity on this alien planet?

Answers

The gravity on this alien planet is 3.8 m/s².

What is the gravity on this alien planet?

The gravity on this alien planet is calculated by applying Newton's second law of motion.

F = mg

where;

m is the mass of the skydiverg is acceleration due to gravity on the alien planet

The mass of the skydiver is calculated from his weight on Earth

m = ( 1470 N ) / (9.8 m/s²)

m = 150 kg

The weight of the skydiver on the alien planet is calculated as follows;

W = 1470 N - (600 N + 300 N)

W = 570 N

The acceleration due to gravity on the alien plane is calculated as follows;

g = 570 N / 150 kg

g = 3.8 m/s²

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2. A woman is pushing a door open. How does the magnitude of the force exerted on
the door by the woman compare to the magnitude of the force exerted on the
woman by the door?

Answers

The magnitude of the force exerted on the door by the woman is equal to the magnitude of the force exerted on the woman by the door.

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 when two objects interact, they apply equal and opposite forces on each other. The forces are proportional in magnitude and opposite in direction. This law helps to explain how objects react to forces and how forces result in motion

The door and the woman are interacting forces, and the magnitude of the force that each exerts on the other is equal. However, the direction of the forces is opposite. The woman is pushing the door in one direction, while the door is pushing back on the woman in the opposite direction.

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Jenny wants to change her graduation photograph into a black-and-white image. Which tool will Jenny use?

Answers

Answer: Jenny can use many apps and Software to change her graduation photo into black and white with many tools the best tool is desaturation.

Explanation:

so theres your answer

GIVING BRAINLIEST !
answer quick !!!!!

What is the mass of a 1000 N person on Ea

Answers

Answer:

225-Ib person weighs 1000 N

a 55 kg girl swings on a swing, whose seat is attached to the pivot by 2.5 m long rigid rods (considered to be massless in this problem). as she swings, she rises to a maximum height such that the angle of the rods with respect to the vertical is 32 degrees. what is the maximum torque on the rods due to her weight, as she moves during one cycle of her swinging from the bottom of her swing path to the highest point?

Answers

To calculate the maximum torque on the rods due to the girl's weight, we can use the equation:

Torque = Force x Distance

First, we need to determine the force acting on the rods due to the girl's weight. The force can be calculated using the formula:

Force = mass x acceleration due to gravity

Given that the girl's mass is 55 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we have:

Force = 55 kg x 9.8 m/s^2 = 539 N

Next, we need to determine the distance from the pivot point to the point where the force is applied. In this case, it is the length of the rigid rods, which is 2.5 m.

Now we can calculate the maximum torque:

Torque = Force x Distance = 539 N x 2.5 m = 1347.5 N·m

Therefore, the maximum torque on the rods due to the girl's weight during one cycle of her swinging is 1347.5 N·m.

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once the cupcake has been sitting on your desk a few minutes, you no longer really notice it. What is this called?habituation

Answers

The phenomenon you are describing is called habituation.

Once the cupcake has been on your desk for a while, your brain becomes accustomed to its presence and it no longer registers as noteworthy or interesting.

Habituation is defined as a behavioral response decrement that results from repeated stimulation and that does not involve sensory adaptation/sensory fatigue or motor fatigue.

Habituation is the reduction of a behavioral response to a stimulus after repeated presentations of that stimulus  Habituation can occur to stimuli detected by any of your senses. You may become habituated to loud sounds, bright lights, strong odors, or physical touch.

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On a day with complete cloud cover, what happens to the visible light headed toward Earth?
(a) The clouds reflect much of it back to space, though some still reaches the surface.
(b) It is absorbed by the clouds, which causes the clouds to heat up.
(c) It reaches the surface just as it does on a cloudless day.

Answers

On a day with complete cloud cover, the visible light headed toward Earth: The clouds reflect much of it back to space, though some still reaches the surface.

When the sun shines, the Earth's atmosphere scatters it in all directions. This is why certain sections of the Earth appear brighter than others during the day—the Sun's light has been reflected off of the ground and other objects. When the planet is completely clouded over, no light reaches Earth at all. The term "nowhere" refers to the fact that there is no such thing as a sunrise since there is no such thing as a dawn. On a cloudy day, visible light directed toward the earth is misdirected and darkened by the clouds. This is due to the fact that shorter wavelengths of visible light scatter more than longer wavelengths. Rayleigh scattering is the name given to this phenomena.

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1.) Determine the amount of matter, in kilograms, that must be converted
to energy to yield 1.0 gigajoule (which is 10 joules). *

Answers

Answer:

1 kilogram [kg] = 89875517.8780129 gigajoule [GJ]

Explanation:

Hopes it helps.

1 Kilogram just three did did three fit f

The relationship between Acceleration and Mass is described as:
O a. Equal
O b. Directly Proportional
O c. Inversely Proportional
O d. Opposite
O e. None of these

Answers

Explanation:

According to Newton's second law

\(\\ \sf{:}\dashrightarrow Force=Mass\times Acceleration \)

\(\\ \sf{:}\dashrightarrow Mass=\dfrac{Force}{Acceleration}\)

\(\\ \sf{:}\dashrightarrow Mass\propto \dfrac{1}{Acceleration}\)

Option C

A man draws a cart of mass 100 kg at a steady rate of 10 m/s on a level road. The tension in the coupling is 100 N. Calculate the power spent on the cart. kw​

Answers

The power spent on the cart is 1000kw  

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power is related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.

How to calculate the power spent on the cart?

A man draws a cart of mass 100 kg

steady rate of 10 m/s

tension in the coupling is 100 N

Calculate power spent on the cart=P*V

P = FV , Where P = power, F = Force, V = velocity.

power spent on the cart=  P*V

                                       =100*10=1000kw    

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a 2.0-mm-diameter glass bead is positively charged. the potential difference between a point 2.0 mm from the bead and a point 4.0 mm from the bead is 500 v. what is the charge on the bead?

Answers

The glass bead has a 0.001 m radius. The distance between the first and second points from the bead's center is 0.003 and 0.005 meters, respectively.

How big is a circle's radius?

The radius of a circular is the distance a circle's center from any point along its perimeter. Usually, "R" or "r" is used to indicate it.

In geometry, what is a radius?

A radius is indeed a line segment that has one endpoint in the circle's center and the other terminus on the circumference of the circle. Circle's diameter equals the radius The diameter of a circle is a line segment that has its ends on the circle and passes through its center. Radius x 2 equals the diameter.

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If you were given a number, say the number “22”, how would you know what it meant? You would have to give it a ___, or people might think you were talking about bowling ball or flowers!

Answers

You would have to give it a meaning


3. A fire hose is turned on, it exerts a pressure of 10kPa. If the diameter of the
jet is 0.6m, what is the force exerted? (remember there are 1000Pa to a kPa,
and the area of a circle is found by multiplying Pi by the radius squared).

Answers

The force exerted by the fire hose is 2.827 kN

force excerted calculation.

First, we need to calculate the area of the jet using the formula for the area of a circle:

Area = π x (radius)^2

We know the diameter of the jet is 0.6m, so the radius is half of that

radius = 0.6m / 2 = 0.3m

Plugging this value into the formula, we get:

Area = π x (0.3m)^2 = 0.2827 m^2

Next, we can use the formula for pressure to calculate the force exerted:

Pressure = Force / Area

Rearranging this formula to solve for force, we get:

Force = Pressure x Area

Plugging in the given values, we get:

Force = 10 kPa x 0.2827 m^2 = 2.827 kN

Therefore, the force exerted by the fire hose is 2.827 kN (kilonewtons).

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Five identical light bulbs are going to be connected to a constantvoltage source. Will the bulbs provide more brightness if they areconnected in series, or in parallel?
SELECT ONLY ONE OF THE FOLLOWING:
A)Series.
B)The brightness is the same.
C) Parallel.

Answers

Answer:

C) Parallel

When five identical light bulbs are connected to a constant voltage source, they will provide more brightness if they are connected in parallel.

This is because in parallel circuit configuration, each bulb receives the full voltage of the source, resulting in brighter light bulbs.

In contrast, in a series circuit configuration, the voltage is divided equally among the bulbs, resulting in dimmer light bulbs.

An electric circuit is an arrangement of components that are connected by wires and other conductive materials to transmit electric power from a power source to the destination.

The three types of electric circuit connections are series, parallel, and a combination of series and parallel.

The type of connection will determine the amount of current flowing through each component and hence the amount of power each component will dissipate.

In a parallel circuit, the current passing through each component is equal to the total current, while in a series circuit, the current is the same through each component of the circuit.

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Sally has a mass of 45.9 kilograms. Earth has a mass of 5.98 x 10^24 kilograms and an average radius of 6.38 x 10^6 meters.What is the force due to gravity between Sally and Earth? Include units in your answer. Answer must be in 3 significant digits.

Answers

Newton's law of universal Gravity:

F = G * (M1 * M2)/ r^2

Where:

G = gravitational constant = 6.674 x10^-11 Nm^2kg^2

M1 = mass 1 = 45.9 kg

M2 = mass 2 = 5.98 x 10 ^24 kg

r = Distance between the 2 objects = 6.38 x 10 ^6 m

Replacing;

\(F=6.674x10^{-11}Nm^2kg^2\cdot\frac{45.9\operatorname{kg}\cdot5.98x10^{24}\operatorname{kg}}{(6.38x10^6m)^2}\)

F = 450.048 N

HELP EVERYTHING YOU KNOW ABOUT ACCELERATION AND VELEOCITY AND EVERYTHING LIKE THAT PLS I HAVE PHYSICS EXAM IN 10 MINUTES I MIGHT CRY

Answers

Answer:

F = m x a , s = d/t

Explanation:

force = mass x acceleration

speed = distance / time

force is measured in newtons using a newtonmeter or forcemeter

speed is measured in m/s or km/h

In your experiment while verifying Snell's law we used the fact that the incident ray, normal to the refracting surface line and the refracted ray...are in the same planeare in mutually perpendicular planesare in different planesalways have the same directionare mutually perpendicular

Answers

In our experiment while verifying Snell's law, we used the fact that the incident ray, normal to the refracting surface line, and the refracted ray are in the same plane.

This means that they all lie in a two-dimensional plane and can be described using two-dimensional geometry. It is important to note that they are not in mutually perpendicular planes, as this would mean they are perpendicular to each other and do not lie in the same plane. Additionally, they do not always have the same direction, as the direction of the refracted ray depends on the angle of incidence and the refractive indices of the two media. However, the incident ray and the normal line are always mutually perpendicular, which is a key aspect of Snell's law.

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A surfacing whale in an aquarium produces water wave crests having an amplitude of 1.2 meters every 0.40 second. If the water wave travels at 4.5 meters per second, the wavelength of the wave is

Answers

The wavelength of the water wave having a amplitude of 1.2 meters every 0.4 seconds is 1.8 m .

What is wavelength?

Wavelength is the total distance traveled by a wave in one cycle.

To calculate the wavelength of the wave, we use the formula connecting

speed, wavelength, and Period.

Formula:

v = λ/T........... Equation 1

Where:

v = Velocity of the waveλ = WavelengthT = Period

Make λ the subject of the equation

λ = vT............ Equation 2

From the question,

Given:

v = 4.5 m/sT = 0.40 s

Substitute these values into equation 2

λ = (4.5×0.4)λ = 1.8 m

Hence, The wavelength of the water wave having a amplitude of 1.2 meters every 0.4 seconds is 1.8 m .

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if a 5kg ball is traveling at 20 m/s and it’s stopped in 4s, what’s the impulse on the ball?

Answers

FT=MV

F(4)=(5)(20)

F= 100/4

F= 25 N

A ship’s wheel is rotated . Its radius is 22 cm. How far would a point on the wheel’s edge move in this rotation?

Answers

The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

What is rotation?

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Given:

The radius of the wheel, r = 22 cm,

The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.

Calculate the circumference of the circle by the formula given below,

Circumference of circle = \(2\pi \ r\)

Substitute the values,

C = 2 × 3.14 × 22

C = 138.16 cm

Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

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5. If a runner is moving with a speed of 1.5m/s and changes her speed to 2.1m/s over a
time period of 3s, what is her average speed?

Answers

Answer:

1.2m/s

Explanation:

two speeds added together divided by total time.

A 740 kg car traveling 19 m/s comes to a complete stop in 2.0 s. What is the force exerted on the car during this stop?

Answers

Answer:

Force exerted on the car is 7030 N.

Explanation:

It is given that,

Mass of the car, m = 740 kg

Initial speed of the car, u = 19 m/s

Final speed of the car, v = 0

Time taken, t = 2 s

Let F is the force exerted on the car during this stop. We know that it is equal to the product of force and acceleration. Mathematically, it is given as :

F=m\times \dfrac{v-u}{t}F=m×tv−u

F=740\times \dfrac{0-19}{2}F=740×20−19

F = -7030 N

So, the force exerted on the car during this stop is 7030 N. Hence, this is the required solution.

Help please!!!! What is the difference between the type of smog experiences by cities in the eastern United States and that found in Southern California?

Answers

Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.

What is Smog?

Smog development and infiltration over Los Angeles. haze and air pollution in the entire community.

Burning sulfur-containing fossil fuels, particularly coal, causes sulfurous smog, also referred to as "London smog," which is characterized by a high concentration of sulfur oxides in the atmosphere.

The two primary substances in automotive exhaust are nitrogen oxides, which are created in scorching internal combustion engines, and hydrocarbons, which are derived from gasoline.

Therefore, Both are dangerous on their own, but as they float through the air in Southern California's sunny climate, the sun bakes them into a new molecule called ozone, better known as smog.

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If the speed of light in some unknown material is 2. 00 × 108 m/s, what is the index of refraction of the medium?

Answers

The index of refraction of the unknown material is 1.5.

The index of refraction (n) of a medium is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v):

n = c / v

In this case, the speed of light in the unknown material is given as 2.00 × \(10^8\) m/s. The speed of light in a vacuum is approximately 3.00 × \(10^8\) m/s. Substituting these values into the formula:

n = (3.00 × \(10^8\) m/s) / (2.00 × \(10^8\) m/s)

Simplifying the expression:

n = 1.5

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A carnot engine is operated between two heat reservoirs at temperatures of 520 k and 300 k.a. If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it reject to the reservoir at 300 K?b. How much mechanical work is performed by the engine during each cycle?

Answers

Now that we have the values for TH, TC, and QH, we can insert them into equation (1) to obtain QC=QH (TC/TH)=6.45kJ(300K/520K)=3.72kJ. A negative indication is proof that the heat leaves the engine.

How to solve?

When provided, When the Carnot engine was operating, the hot side temperature (TH) was 520 K, while the cold side temperature (TC) was 300 K.

The heat that the engine absorbed at the hot side is provided as QH = 6.45 kJ, and we are requested to calculate the heat that was discarded at the cool reservoir, QC.

​By knowing TH ,TC and QH

​we can get QC

using equation 20.13 in the form

QC =−QH (TC/​TH )

Now we can plug our given values for TH ,TC and QH into equation (1) to get QC

​QC=−QH (TC/TH)=−6.45kJ(300K/520K​ )= −3.72kJ

A negative indicator indicates that the engine is losing heat.

How is the work output of a Carnot engine determined?

effectiveness is WQH=1TCTH. The efficiency of a Carnot engine with a hot reservoir of boiling water and a cold reservoir of freezing cold water, for instance, will be 1(273/373)=0.27, or little over 25% of the heat energy is converted into usable work. Of course, these temperatures are in degrees Kelvin.

The Carnot efficiency formula is what?

the operating fluid's maximum and minimum temperatures at full power. Construct the equations while assuming that the Carnot efficiency is 1 TC/TH. [0.75; 0; 0.5; 100; 1000 K; 500 K] P6.2.

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Any vector can be expressed as the sum of two components, usually
referred to as what?

Answers

Two vectors can be added together to determine the result (or resultant). ... computing the vector sum of all the individual forces acting upon that object.

i hope u understand

About how many days in the moon’s cycle is it waxing?.

Answers

Answer: 29.5 days

The waxing moon phase comprises three separate moon phases: the Waxing Crescent, First Quarter, and the Waxing Gibbous.

Answer:

its called a lunar cycle, and it lasts about 29 1/2 days.

Which of the following stars is least luminous?
1) the sun 3) a blue supergiant
2) a white dwarf 4) a red giant

Answers

4. a red giant. This would be the answer.
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