a copper alloy cylinder that is 1.1 feet long with a diameter of 44.24 inch is subjected to a tensile stress of 932 psi along its length. assuming this applied stress is purely elastic, calculate the diameter, in inches, of the cylinder under this load. for this alloy, the elastic modulus is 1,117,281 psi and the poisson's ratio is 0.34. Answer format X.XX Unit: inches

Answer:

\(2.8\; {\rm s}\).

Explanation:

The velocity of vehicle \(2\) relative to vehicle \(1\) is:

\(\begin{aligned}& \text{velocity of 2 relative to 1} \\ =\; & (\text{velocity of 2 relative to ground}) \\ &- (\text{velocity of 1 relative to ground}) \\ =\; & 33\; {\rm m\cdot s^{-1} - 28\; {\rm m\cdot s^{-1}} \\ =\; & 5\; {\rm m\cdot s^{-1}} && (\text{to the east})\end{aligned}\).

The displacement of vehicle \(2\) relative to vehicle \(1\) is currently \(0\; {\rm m}\). The rate at which this displacement increases is equal to the velocity of vehicle \(2\!\) relative to vehicle \(1\!\), which is \(5\; {\rm m\cdot s^{-1}}\).

Thus, it would take \((14 \; {\rm m}) / (5\; {\rm m\cdot s^{-1}}) = 2.8\; {\rm s}\) for this displacement to reach \(14\; {\rm m}\).

Answer:

Power generate by generator = 265 W (Approx.)

Explanation:

Given:

Mass of student = 62 kg

Height of stairs = 3.4 meter

Time taken = 7 second

Find:

Power generate by generator

Computation:

Power = Force x [Distance / Time]

Power = [Mass x gravitational acceleration] x [Distance / Time]

Power = [62 x 9.8][3.4/7]

Power = [607.6][3.4/7]

Power = 265.12

Power generate by generator = 265.12

Power generate by generator = 265 W (Approx.)

Answer:

D. A

General Formulas and Concepts:

Simple Harmonic Motion

Parts of a wave

Explanation:

The amplitude is the distance from the horizon to either the crest or trough of a wave.

In layman's terms, it is how high the wave is.

The "highest" wave would be wave A.

∴ our answer is D.

Topic: AP Physics 1 Algebra-Based

Unit: SMH

Answer:

A (The wave)

Explanation:

Wave A

Traveling through glass (or water) is not good enough to prevent light from escaping but the use  of a thick solid can be ale to prevent the escape.

Glass and water are said to be thicker and heavier when compared to air. They are known to be very well  denser than air.

Note that the thing that occur is that light slows down if it passes from the a medium that is less dense air into the denser glass or water. This depicts the the ray of light and also makes the ray of light to alter its direction.

Therefore, Traveling through glass (or water) is not good enough to prevent light from escaping but the use  of a thick solid can be ale to prevent the escape.

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Answer:

When blood vessels constrict, the flow of blood is restricted or decreased, thus retaining body heat or increasing vascular resistance. this makes the skin turn paler because the blood reaches the surface, reducing the radiation of heat. hope this helps

Answer:

the projection of a vector quantity, as force or velocity, along an axis.

Explanation:

The equilibrant force is equal in magnitude and opposite in direction to the resultant force.

Since the resultant force is 10 N in the positive y axis direction (North), the equilibrant force is 10 N in the negative y axis direction (South). An equilibrant force is a force that can balance or counteract the effect of other forces acting on an object.

It has the same magnitude as the resultant force, but it acts in the opposite direction, resulting in a state of equilibrium where the net force acting on the object is zero.

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Answer:

Distinguish between vector and scalar quantities providing examples of each

Explanation:

Answer:

first object final velocity =2m/s

second = 12m/s

Explanation:

i hope this will help you,..,

Magnitude: The magnitude of the vector is approximately 47.4 units. Direction: The direction of the vector is approximately 123.7 degrees counterclockwise from the positive x-axis.

To find the magnitude of the vector, we use the Pythagorean theorem:

Magnitude = sqrt((-25)^2 + 40^2) ≈ 47.4 units.

To find the direction of the vector, we use the inverse tangent function:

Direction = atan(40 / -25) ≈ 123.7 degrees counterclockwise from the positive x-axis.

The magnitude represents the length or size of the vector, which is found using the Pythagorean theorem. The x and y components of the vector form a right triangle, where the magnitude is the hypotenuse.

The direction represents the angle that the vector makes with the positive x-axis. We use the inverse tangent function to calculate this angle by taking the ratio of the y-component to the x-component. The result is the angle in radians, which can be converted to degrees. In this case, the direction is approximately 123.7 degrees counterclockwise from the positive x-axis.

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The relativistic momentum of the electron if the kinetic energy of an electron is 45% of its total energy is 2 times the square root of the rest mass of the electron times 45% of its total energy.

To determine the kinetic energy of an electron is 45% of its total energy, we can use the relativistic formula for total energy to find the rest energy of the electron. The formula is:

E = (m0c²) / √(1 - v²/c²)

where E is the total energy, m0 is the rest mass of the electron, c is the speed of light, and v is the velocity of the electron.

Since we are given that the kinetic energy is 45% of the total energy, we can write:

K = 0.45 × E

where K is the kinetic energy.

Using the formula for kinetic energy, we can write:

K = (p² / 2m0)

where p is the relativistic momentum of the electron.

Solving for p, we get:

p = √(2m0K)

Substituting K = 0.45E, we get:

p = √(0.9m0E)

To find E, we can use the fact that the kinetic energy plus the rest energy is equal to the total energy:

E = K / 0.45

Substituting this into the expression for p, we get:

p = √(0.9m0K / 0.45)

p = √(2m0K)

So the relativistic momentum of the electron is equal to the square root of twice the rest mass of the electron times its kinetic energy, which is 2 times the square root of the rest mass of the electron times 45% of its total energy.

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Answer:

I hope it was helpful.........

Answer:

\(K=58.8N/m\)

Explanation:

From the question we are told that:

Mass \(M=0.442\)

Drop distance \(d=0.150\)

Generally the equation for Spring Constant is mathematically given by

 \(K=\frac{2mg}{x}\)

 \(K=\frac{2*0.442*9.8}{1.150}\)

 \(K=58.8N/m\)

Answer:

Current for 12 ohms = 2.5

Explanation:

Ohm's Law:

Voltage = IR

Current = V/R

Resistance = V/I

Therefore, current = 30V/12 Ohms

30/12 = 2.5

So current for 12 ohms = 2.5

I hope this helps :>

The law of conservation of linear momentum states that if no external forces act on the system of two colliding objects, then the vector sum of the linear momentum of each body remains constant and is not affected by their mutual interaction.

Linear momentum is defined as a vector quantity which is the product of the mass of an object and the velocity of the same object.

The law of momentum agrees that the the total momentum of a system remains constant.

In a linear momentum, the law of conservation states that if no external forces act on the system of two colliding objects, then the vector sum of the linear momentum of each body remains constant and is not affected by their mutual interaction.

The consequences of the this law of conservation is that If the net external force acting on a system of bodies is zero, then the momentum of the system remains constant.

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Answer: The angular velocity at which the centripetal acceleration is 11.25 g, with a radius of 16.5 m, is approximately 2.59 rad/s.

Explanation:

Centripetal acceleration (ac) = angular velocity (ω)² × radius (r)

Here, the centripetal acceleration is given as 11.25 g, where g is the acceleration due to gravity (approximately 9.8 m/s²). The radius is given as 16.5 m.

First, we need to convert 11.25 g to meters per second squared (m/s²):

11.25 g = 11.25 × 9.8 m/s² ≈ 110.25 m/s²

Substituting the known values into the formula, we have:

110.25 m/s² = ω² × 16.5 m

To solve for the angular velocity (ω), we can rearrange the equation as follows:

ω² = 110.25 m/s² / 16.5 m

ω² ≈ 6.7 rad²/s²

Taking the square root of both sides, we find:

ω ≈ √6.7 rad/s =2.59 rad/sec

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If we throw a socks in to the bowl then it is going with a few unfold situation by means of the projectile and follows the trajectory. Crumpled paper use for the projectile additionally works gud for the simulation.

Crumpled paper has irregular form and mild in weight and it is able to divert in a way by air force or by means of any other motive mild weight. hence simulation and projectile interest are interlinked to every different.

Projectile motion is used in many real-life applications such as designing rockets, ballistic missiles, and artillery, as well as in sports such as baseball, golf, and archery. The concept of projectiles is also relevant in fields such as engineering, military science, and sports. For example, the design of a projectile such as a bullet or missile can affect its accuracy and effectiveness, while knowledge of projectile motion can aid in the design of sports equipment such as golf clubs or javelins.

When a projectile is launched, it follows a curved path known as a trajectory, which is determined by the initial velocity, angle of launch, and the gravitational and atmospheric forces acting on it. The motion of projectiles is studied in physics, where concepts such as projectile motion, trajectory, range, and maximum height are analyzed.

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Answer:the summery is ...i really don't know the picture is blurry and I cant see can you make it clear?

Explanation:

Answer:

The Gravitational force is the answer.

At position (3, 9), where the tangent line passes through, Han Solo should turn off the engines (4, 15).

The first three things need to be completed, or at least started, right away: Fly the aircraft as you instantly apply full carb heat and check the gasoline in both or one of the tanks, hit the fuel boost or pump, and mix the fuel to full richness.

Finding the tangent line to the curve y = x2 at that location will help us determine when Han Solo should turn off the engines.

The derivative of the function determines the slope of the tangent line at any point on the curve y = x2.: dy/dx = 2x

Han Solo should turn off the engines at position (x1, y1). Next, we have

y1 = x1^2 (since the point is on the curve y = x^2)

dy/dx = 2x1 (since this is the slope of the tangent line at (x1, y1))

The equation of the tangent line via (4, 15) can be expressed using the point-slope form of a line as follows:

y - y1 = m(x - x1)

Substituting y1 = x1^2 and m = 2x1, we get:

y - x1^2 = 2x1(x - x1)

Now, we can substitute the coordinates of the point (4, 15) to solve for x1:

15 - x1^2 = 2x1(4 - x1)

15 - x1^2 = 8x1 - 2x1^2

x1^2 - 8x1 + 15 = 0

This quadratic equation can be factored as:

(x1 - 3)(x1 - 5) = 0

Therefore, the possible values of x1 are 3 and 5.

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397887.358 is the volume in which the magnetic field energy is said to be present.

The magnetism is a field that is produced in the vicinity of a magnetic dipole or a moving charge. Tesla is the SI unit of field strength for magnetic fields (T). The region surrounding a magnet where electromotive flux is felt is known as the magnetic field.

Electric fields in motion create magnetic properties. Everything is constructed of molecules, and each atom contains a nucleus that is composed of protons and neutrons, with electron cloud. Each atom creates a tiny magnetic field because the circling electrons have tiny moving charges.

Required Energy = (B²/2μ)*Volume

= 1²/(2 * 4* π *10⁻⁷)

= 397887.358

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Answer:

N+5 no

6)He+ no

F-1 yes

Al+2 yes

P-3 yes

Mg+2 yes

Explanation:

The ions that are likely to constructed would be:

7). F-1 yes

8). Al+2 yes

9). P-3 yes

10). Mg+2 yes

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The resistivity of a wire does not change when its diameter and length are split in half, as long as the material and temperature remain constant

The resistivity of a material, denoted by the symbol rho (ρ), is an intrinsic property of the material that describes how well it resists the flow of electric current. It is defined as the ratio of the electric field applied to a material to the resulting current density.

The resistivity of a material is not affected by its size or shape, but it can be affected by its temperature, impurities, and other factors. Therefore, if we split the diameter and length of a wire in half, but keep the material and temperature constant, the resistivity will remain the same.

This can be understood by considering the formula for the resistance of a wire:

R = (ρ * L) / A

where R is the resistance, ρ is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.

If we split the diameter and length of the wire in half, the cross-sectional area A is reduced by a factor of 4, and the length L is reduced by a factor of 2. Therefore, the resistance will be halved as well, but the resistivity will remain the same.

.

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The 46.4 kg wolf moving at a speed of 12.2 m/s has a kinetic energy of 3,456.98 J.

The amount of work done on an item and its acceleration following a moment of inertia caused by external forces are two aspects that affect the overall kinetic energy of an object.

The formula: gives the kinetic energy (KE) of an item.

KE = (1/2) × mass × velocity²

where velocity is measured in meters per second (m/s) and mass is measured in kilograms (kg).

Plugging in the following numbers will allow us to determine the wolf's kinetic energy:

KE = (1/2) × 46.4 kg × (12.2 m/s)²

= (1/2) × 46.4 kg × 148.84 m²/s²

= 3,456.98 joules (J)

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The linear expansivity of the metal is 4.44 × \(10^{-6}\) /°C.

What is Temperature?

Temperature is a measure of the degree of hotness or coldness of a substance or object, expressed in terms of a numerical scale. It is a physical property that determines the direction of heat transfer between two bodies in thermal contact. The most commonly used scales for temperature measurement are Celsius, Fahrenheit, and Kelvin.

Linear expansivity is defined as the change in length per unit original length per degree Celsius change in temperature.

Let the initial length of the metal be L1 = 15.01 m and the change in temperature be ΔT = 60°C.

The final length of the metal is L2 = 15.05 m.

The change in length of the metal is:

ΔL = L2 - L1

ΔL = 15.05 m - 15.01 m

ΔL = 0.04 m

The linear expansivity α can be calculated as:

α = ΔL / (L1 ΔT)

α = 0.04 m / (15.01 m × 60°C)

α = 4.44 ×\(10^{-6}\) /°C

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When Proctor & Gamble developed the Mr. Clean Magic Eraser, they most likely used an informative advertising campaign to explain how the product cleans grime from walls without removing paint. This type of campaign focuses on educating the consumers about the unique features and benefits of the product.

Here's how the campaign may have been structured:

1. Highlighting the problem: The campaign may have started by highlighting the common issue of grime and stains on walls that are difficult to remove. This helps the consumers relate to the problem and realize the need for a solution.

2. Introducing the product: P&G would then introduce the Mr. Clean Magic Eraser as an innovative cleaning tool specifically designed to tackle this problem. They would emphasize its unique composition and its ability to effectively remove grime without damaging the paint.

3. Demonstrating the effectiveness: The campaign would include demonstrations or visual representations showcasing the product in action.

4. Explaining the technology: P&G would further explain the science behind the product. They might describe the microscopic structure of the Magic Eraser, which features tiny melamine foam cells that act as an abrasive to lift dirt and stains without scratching the surface.

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The frequency f1 οf A: the string's fundamental mοde οf vibratiοn is 287 Hz. B: The number n οf the highest harmοnic that cοuld be heard by a persοn capable οf hearing frequencies up tο 16 kHz is 56.

Frequency is a fundamental cοncept in physics that refers tο the number οf οccurrences οf a repeating event per unit οf time. It is a measure οf hοw οften a particular event οr phenοmenοn repeats within a given time interval.

In the cοntext οf waves, such as sοund waves, light waves, οr electrοmagnetic waves, frequency represents the number οf wave cycles cοmpleted in οne secοnd. It is οften denοted by the symbοl f and is measured in hertz (Hz), which represents cycles per secοnd.

Part A:

The frequency οf the fundamental mοde οf vibratiοn οf a string can be calculated using the fοrmula:

f1 = (1/2L) × √T/μ)

where L is the length οf the string, T is the tensiοn in the string, and μ is the linear mass density οf the string.

First, we need tο cοnvert the mass οf the string frοm grams tο kilοgrams. The mass οf the string is given as 5.25 g, which is equal tο 0.00525 kg.

Substituting the given values intο the fοrmula, we get:

f1 = (1/2 × 0.700 m) × √(765 N / 0.00525 kg)

f1 ≈ 286.75 Hz

Therefοre, the frequency οf the string's fundamental mοde οf vibratiοn, f1, is apprοximately 287 Hz.

Part B:

Tο determine the number οf the highest harmοnic that can be heard, we need tο calculate the frequency οf the highest harmοnic and cοmpare it tο the persοn's hearing range.

The frequency οf the nth harmοnic can be calculated using the fοrmula:

fn = nf1

where n is the harmοnic number and f1 is the frequency οf the fundamental mοde οf vibratiοn.

Tο find the number n οf the highest harmοnic that can be heard, we can rearrange the fοrmula:

n = f / f1

where f is the maximum frequency a persοn can hear, which is given as 16 kHz οr 16,000 Hz.

Substituting the values intο the fοrmula, we get:

n = 16000 Hz / 287 Hz

n ≈ 55.71

Since the harmοnic number must be an integer, we rοund dοwn tο the nearest whοle number.

Therefοre, the number n οf the highest harmοnic that cοuld be heard by a persοn capable οf hearing frequencies up tο 16 kHz is apprοximately 56.

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The magnitude of charge on the particle is \(1,6*10^{-19}\) .        

Energy or labor per unit of charge is referred to as electric potential. For instance, a battery with a 1.5 volt electric potential can perform work or supply 1.5 joules per coulomb of electric potential energy to an electrical circuit.

Given that,

magnitude of electric field, E = 215 N/C

The charge's electrical potential energy falls by 1.6*10-19 as it goes.

We must determine the size of the charge carried by the travelling particle. Electric potential energy changes are determined by:

ΔU = qΔV

q = ΔU/ΔV

According to the electric field, the electric potential is determined by:

ΔV = -Ed

Δv = -Ed

ΔV = -215 * 0.02 = -4.3v

Equation (1) becomes :

q = -6.9 * 10^-19 / -4.3

q = 1.6*10^{-19}

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Answer:

c. an electron is the particle of an atom that is negatively charged

Explanation:

the other statements are not the best at defining an electron

kQ/R represents the magnitude of the electric field E and the potential V as functions of r the distance from the center of the sphere when r < R. The correct option is e.

When r < R, the sphere can be treated as a point charge with charge Q located at its center. The electric field E created by a point charge Q at a distance r from it is given by Coulomb's law as E = kQ/r^2, where k is the Coulomb constant. Therefore, the correct answer is (b) 0kQ/r.

The potential V created by a point charge Q at a distance r from it is given by V = kQ/r. Since the sphere can be treated as a point charge when r < R, the potential V as a function of r is also given by V = kQ/r. Therefore, the correct answer is (e) kQ/R.

It is important to note that the potential V is a scalar quantity, while the electric field E is a vector quantity. The electric field is the gradient of the potential, meaning that E = -∇V, where ∇ is the del operator. This relationship between the electric field and potential is known as the electrostatic field equation.

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