Four point charges, each of charge 2. 5 x 10-5 c, are located on the x- and y-axes, one at each of the locations (0, 2. 0 m), (0, -2. 0 m), (2. 0 m, 0), and (-2. 0 m, 0). the potential at the origin is__________.

The extension of the spring is 4.83 m, if work done is 35 Newton and spring constant is 3 k N/m.

The spring constant, k, is a measure of the stiffness of the spring. it's far one of a kind for unique springs and materials. the larger the spring regular, the stiffer the spring and the greater.

Spring constant of 3 k N/m,

The amount of work done in extending is 35 N

WORK DONE by spring force = 1/2 k X²

                                                 ⇒0.5 * 3 * X²

                                   35 N = 0.5 * 3 * X²

                                 X² = 35/1.5

                                  x = [tex]\sqrt{23.33}[/tex]

                                     X = 4.83 m

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The extension of the spring is can be found out by using the Work Done due to extension in Spring Constant K. The extension in the spring is 4.83m.

The spring constant, k, is a measure of the stiffness of the spring. It is for springs and materials which measures the ratio of force that affects the spring and the displacement caused by the force action.

Spring constant depends on the stiffness of the spring, wire thickness, number of turns in wound coil, length of spring and diameter of the coil.

Given:

Spring constant = 3000 N/m

Work Done in extension= 35 N

Let the extension in spring by x.

∴ Work Done by spring force = 1/2 kx²

                        Work done   = 0.5 × 3 × x²

    ⇒                                 35 N = 0.5 × 3 × x²

    ⇒                                      x² = 35/1.5

     ⇒                                         x = 4.83m

Hence, the extension of spring is 4.83m.

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The fringes will be farther apart

The width of the centre maxima on a screen is twice the distance between the dark fringes on either side at a distance L away: The pattern of light spreads out as you get further away from the screen (bigger L). The pattern of light widens as the hole gets smaller (smaller a).

The double-slit experiment involves directing a beam of light at a wall that has two vertical slits. The pattern that results from the light passing through the slits is captured on a photographic plate. A single line of light is seen when one slit is covered, aligned with the open slit.

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The magnetic flux linked with the conductor will always changes is true for the induced current, if it produces a magnetic field that opposes the change in the existing magnetic field.

To find the answer, we have to know more about the Electromagnetic induction.

Thus, we can conclude that, the magnetic flux linked with the conductor will always changes is true for the induced current, if it produces a magnetic field that opposes the change in the existing magnetic field.

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1. Oxygen, heat, and fuel

These  three things that must be present for a fire to exist.

2. (a) In order to put out the fire, it achieves this by removing the heat                                                from it.

   (b) Water can also be used to separate the fire from the oxygen source.

   (c) It smothers it, preventing it from igniting more airborne oxygen.

Water extinguishes fires in these three ways.

3. (a)physical hazard

   (b)chemical hazard

4.(a) If a liquid's flash point is lower than 60°C, it is regarded as flammable.

Regarding the security of spill cleaning activities, flash point is a crucial consideration.

When spilled, gasoline and other light fuels pose a considerable risk since they can ignite in the majority of ambient conditions.

(b) If your material's label contains a flame symbol, it means the substance is combustible, and you should review your SDS to learn more about the dangers and risks associated with using the substance.

(c) the lowest temperature at which combustible material ignites in air and continues to burn when heated (as in a bath of molten metal)

(d) The pressure that a vapor exerts on its condensed phases (solid or liquid) in a closed system at a specific temperature is known as vapor pressure.

(e) The difference between an object's density and that of a standard substance is its specific gravity.

Depending on its value, the specific gravity might indicate whether an object will float or sink in our reference substance.

(f) The ratio of the time needed to evaporate a test solvent to the time needed to evaporate the reference solvent under the same circumstances is the evaporation rate.

The findings can be stated as a relative rate, the percentage that evaporated within a given time frame, or the length of time needed to evaporate a given volume.

(g) The temperature at which a specific solid material melts, or transitions from a solid state to a liquid, is known as the melting point.

(h) The resistance of a fluid (liquid or gas) to a change in shape or motion of adjacent sections relative to one another is known as viscosity. Viscosity is a sign of flow resistance.

(i) The boiling point of a liquid is the temperature at which the pressure of the liquid's vapor equals the pressure of its surroundings.

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The obsessive disinhibition form of a craving is the result of dysfunction in the    5ht    neurotransmitter.

One of the major neurotransmitters in mammals' nervous systems is 5-HT (also known as serotonin), which is well known for modulating key aspects of daily living like mood, sleep, social behaviors, learning, and appetite (Barnes and Sharp, 1999; Gingrich and Hen, 2001; Canli and Lesch, 2007).

The central and peripheral nervous systems contain a variety of G protein-coupled receptors and ligand-gated ion channels known as 5-HT receptors, 5-hydroxytryptamine receptors, or serotonin receptors. Both excitatory and inhibitory neurotransmission is mediated by them.

5-HT produces only inhibitory effects on excitatory or inhibitory transmission in the bed nucleus of the stria terminalis (BNST) [16] and the periaqueductal grey (PAG).

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Based on the information provided, we can infer and logically deduce the following salient points and parameters:

This ultimately implies that, the horizontal distance covered by this water slide represents the opposite side of a right-angled triangle and as such we would apply Pythagorean theorem.

Mathematically, Pythagorean theorem is given by this formula:

c² = a² + b²

Where:

Substituting the given parameters into the formula, we have;

20.0² = 15.0² + b²

b² = 20.0² - 15.0²

b² = 400.0 - 225.0

b² = 175.0

b = √175.0

b = 13.23 meters.

Thus, we would apply sine trigonometry to determine the magnitude of the first complimentary angle (θ₁) formed by this right-angled triangle:

Sinθ₁ = Opp/Hyp

Sinθ₁ = 13.23/20.0

Sinθ₁ = 0.6615

θ₁ = sin⁻¹(0.6615)

θ₁ = 41.41°.

We know that θ is the angle formed between the water slide and the horizontal plane. Thus, we would determine the magnitude of this second complimentary angle (θ₂):

θ = θ₁ + θ₂

90° = 41.41° + θ₂

θ₂ = 90° - 41.41°

θ₂ = 48.59°.

From the above, we have:

Sinθ₂ = Sin(48.59) = 0.75.

Cosθ₂ = Cos(48.59) = 0.66.

Tanθ₂ = Tan(48.59) = 1.134.

Mathematically, the weight of a physical body (object) can be calculated by using this formula:

Weight = mg

Weight = mass × acceleration due to gravity

Weight = 40.0 × 9.8

Weight = 392 Newton.

Mathematically, the magnitude of the normal force Eric receives from the water slide is given by:

Normal force = mgcosθ

Normal force = 40.0 × 9.8 × cos(48.59)

Normal force = 392 × 0.66

Normal force = 258.72 Newton.

Mathematically, the magnitude of the normal force Eric gives the water slide is given by:

Normal force, Fₙ = mgcosθ

Normal force, Fₙ = 40.0 × 9.8 × cos(48.59)

Normal force, Fₙ = 392 × 0.66

Normal force, Fₙ = 258.72 Newton.

Mathematically, the magnitude of his gravitational force's component parallel to the water slide is given by:

F = Wsinθ = mgsinθ

F = 40.0 × 9.8 × sin(48.59)

F = 392 × 0.75

F = 294 Newton.

Mathematically, the magnitude of the friction force between Eric and the water slide is given by:

Fs = μ_s(Fₙ)

Fs = 0.10 x 258.72 N

Fs = 25.872 Newton.

First of all, we would determine the net force acting on Eric?

F(net) = F - Fs

F(net) = 294 - 25.872

F(net) = 268.13 Newton.

From Newton's second law of motion, acceleration is given by this formula:

Acceleration = Net force/Mass

Acceleration = 268.13/40.0

Acceleration = 6.70 m/s².

In this scenario, we would calculate Eric's speed by using the third equation of motion:

V² = U² + 2aS

V² = 0² + 2(6.70)(20.0)

V² = 268

V = √268

V = 16.37 m/s.

At least, the superman has to apply the following force to prevent Emily from sliding:

Force = Weight - Normal force

Force = 392 - 258.72

Force = 133.28 Newton.

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Two planets, john and mary, are identical in density and temperature, but mary is larger in size (radius) than john. Mary will have more substantial atmosphere because mary is larger in size .

A substantial atmosphere is one dense enough to significantly affect the surface

Gravity is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun.

The thickness of a planet's atmosphere depends on the planet's gravity and the temperature of the atmosphere. A planet with weaker gravity does not have as strong a hold on the molecules that make up its atmosphere as a planet with stronger gravity.

As the planet grows in size, its mass and therefore gravity increases, allowing it to capture not only the accumulated dust and rocks, but also the gas, which forms an atmosphere.

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Position is measured in meters (m), so it is a base quantity.

A base or fundamental  quantity is a physical quantity, in which other quantities are derived from.

Example of fundamental quantities;

Derived quantities are those quantities obtained or expressed from fundamental quantities.

Example of derived quantities;

Thus, we can conclude that position measured in meters (m) is a base quantity.

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If a disk rolls smoothly down a ramp, the acceleration is related to  its angular acceleration in such a way that It is equal to the product of the angular acceleration to the radius of the disk.

Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight line. There are three equations that are important in linear acceleration depending upon the parameters like initial and final velocity, displacement, time and acceleration.

Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second. Thus, α = d ω/ d t. The angular acceleration is also known as rotational acceleration.

Its equal to the product of the angular acceleration to the radius of the disk.

This equation mean that linear acceleration and angular acceleration are directly proportional. The greater the angular acceleration is, the larger the linear (tangential) acceleration is, and vice versa.

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Tuba - Alloy

Paper - Polymer

Pot - Ceramics

Alloy : An alloy is a substance which made up of two more than two types of metal.

Ceramics: Articles, figures made up of clay which are hardened by the action of heating.

Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.

Instead of using natural materials, synthetic products are created using chemicals or synthetic materials. Boots constructed of synthetic materials, such as synthetic rubber, may typically be washed in a machine.

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Approximately 101 N air is in a column 1-cm2 in cross-section that extends from sea level to the top of the atmosphere

The basic level for determining height and depth on Earth is the sea level. The ocean's surface tends to seek the same level since it is one continuous body of water. However, the sea level is never fully level due to winds, currents, river discharges, and changes in gravity and temperature.

At the equator, the radius of the Earth at sea level is 6378.137 km (3963.191 mi). At the poles, it is 6,356.752 km (3,949.903 km), and on average, it is 6,371.001 km (3,958.756 mi). The elevation of the shoreline—the boundary between the ocean and the land—is referred to as sea level. Land that is higher than this altitude is above sea level, and land that is lower is below sea level.

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From the core concept introduced by Al-Haytham, modern cameras are created.

To find the answer, we have to know about the Camera Obscura.

Thus, we can conclude that, from the core concept introduced by Al-Haytham, modern cameras are created.

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(d) is increasing its velocity by 2.0 m/s every second.

An acceleration of 2 m/s² means that the object is is increasing its velocity by 2.0 m/s every second.

The rate at which an object's velocity changes over a predetermined period of time is referred to as its acceleration. Acceleration is mathematically defined as an object's change in velocity divided by the amount of time it took for that change to occur.

                                [tex]Acceleration = \frac{change in velocity}{time}[/tex]

The positive sign of the acceleration denotes a change in velocity that is positive and growing, whereas the negative sign denotes a change in velocity that is decreasing.

Consequently, an acceleration of 2 m/s² indicates that the object's velocity is increasing by 2 m/s every second.

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option(d) is increasing its velocity by 2.0 m/s every second is the right answer.

An object moving in the x direction experiences an acceleration of           2.0 m/[tex]s^{2}[/tex] this means the object  is increasing its velocity by 2.0 m/s every second.

An object's acceleration is the rate at which its velocity alters over a given amount of time. Calculating acceleration involves dividing the change in velocity of an object by the time it takes for that change to take place.

Acceleration =[tex]\frac{change in velocity}{time}[/tex]

The acceleration's positive sign indicates a change in velocity that is growing and positive, whereas the acceleration's negative sign indicates a change in velocity that is declining.

Consequently, an acceleration of 2 m/s² indicates that the object's velocity is increasing by 2 m/s every second.

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An experience that forces an individual to confront an existential issue is known as a boundary situation in this type of context.

This type of situation is characterized by negative consequences which the individual tries to escape from in an unfruitful attempt. It usually makes the individual feel like it can't be overcome and is also likely to enter deep into the crisis.

This experience forces an individual to confront an existential issue so as to prevent it from escalating into a very difficult position and to promptly address the situation through employing different types of techniques. This ensures that a reoccurence doesn't come up in this type of situation.

This is therefore the reason why boundary situation was chosen as the most appropriate choice.

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Considering light at the two ends of the visible light spectrum, violet light has a shortest wavelength and a highest photon energy than red light

In visible light spectrum wavelength of violet light is 380 nm to 450 nm whereas wavelength of red light is 620 nm to 750 nm.

The increasing order of visible light spectrum i.e. VIBGYOR is Violet > Indigo > Blue > Green > Yellow > Orange > Red .

When we discuss about the photon energy of Violet Light, it is 2.85 ev to 3.26 ev and the photon energy of Red Light is 1.65 ev to 2.00 ev

V- Violet- shortest wavelength with highest energy

R- Red- highest wavelength with minimum energy

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The government expenditure is $20 billion.

To find the answer, we have to know about the Gross Domestic Product.

Using the output approach, the gross domestic product is determined as follows:

              [tex]GDP=C+I_g+G+X_n[/tex]

Where: C is conception, Ig is the gross investment, G is government expenditure, and Xn is the net exports.

                     [tex]G=GDP-C-I_g-X_n\\G=100-60-30+10=20 billion-dollers.[/tex]

Thus, we can conclude that, the government expenditure is $20 billion.

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Answer:

The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.

hope this helps you

If the partial pressure of nitrogen in the human body is approximately 593 mm hg at sea level, the partial pressure of nitrogen cannot be 760mm Hg in a scuba diver that is at a depth of 30 feet.

Nitrogen narcosis :

The partial pressure of nitrogen increases with pressure, which produces a narcotic effect. Nitrogen narcosis affects both scuba divers and free divers. It causes depression of the central nervous system, which leads to feelings of euphoria, disorientation and irrational behavior. Divers need to consider absorption rates of different gases in order to avoid conditions such as nitrogen narcosis, and decompression sickness.

What is the partial pressure of the nitrogen?

Therefore, at sea level, where atmospheric pressure is known to be 760 mm Hg, the partial pressures of the various gases can be estimated to have partial pressures of approximately 593 mm Hg for nitrogen, 160 mm Hg for oxygen, and 7.6 mm Hg for argon.

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The focal length (in meters) of a lens whose radius of curvature is 9. 2 m and has a refractive index  1.2 will be 18.4 m

The focal length of a lens is determined when the lens is focused at infinity. Lens focal length tells us the angle of view—how much of the scene will be captured—and the magnification—how large individual elements will be.

Focal length of a lens is the distance between center of lens and focal point . Focal point is a point on principal axis , at which light rays parallel to principal axis meet after refraction through lens or seem to meet after refraction .

The radius of curvature is the radius of sphere formed by the convex or concave mirror. It is also equal to the distance between the pole and center of curvature. The sign convention for focal length and radius of curvature is the same.

focal length = 2 * radius of curvature

given

radius of curvature = 9.2 m

focal length = 2 * 9.2

                    = 18.4 m

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The wavelength, which represents the size of the smallest detectable detail that uses ultraviolet light  , is calculated as follows: 3×[tex]10^{8}[/tex] / 1.72×[tex]10^{15}[/tex] or approximately 1.74×[tex]10^{-7}[/tex]m.

The distance between the two positive, two negative, or two minimal points on the waveform is known as the wavelength of the wave. The following formula expresses the relationship between the frequency and wavelength of light:

f = c / λ

where, f = frequency of light

            c = speed of light

            λ = wavelength of light

Given data = f = 1.72×[tex]10^{15}[/tex]Hz

Therefore, λ = 3×[tex]10^{8}[/tex] / 1.72×[tex]10^{15}[/tex]

                  λ = 1.74×[tex]10^{-7}[/tex]m

The wavelength, which represents the size of the smallest detectable detail that uses ultraviolet light  , is calculated as follows: 3×[tex]10^{8}[/tex] / 1.72×[tex]10^{15}[/tex] or approximately 1.74×[tex]10^{-7}[/tex]m.

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The potential energy of a 2-μc charge at that point in space is [tex]8*10^{-4}[/tex] joules.

Given,

V=400v, q=2-μc=2*[tex]10^{-6}[/tex],

U(potential energy)=V*q=400*2*[tex]10^{-6}[/tex]= [tex]8*10^{-4}[/tex] joules.

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics. The gravitational potential energy of an object is based on its mass and the distance from the centre of mass of another object. Other common types of potential energy include the elastic potential energy of an extended spring and the electric potential energy of an electric charge in an electric field. The joule, denoted by the sign J, is the SI's definition of an energy unit.

The vectors that are described as gradients of a particular scalar function known as potential can be used to represent these forces, also known as conservative forces, at any location in space.

At a certain point in space there is a potential of 400 v. what is the potential energy of a 2-μc charge at that point in space? group of answer choices'

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kinetic energy 8.0 s later will be 11.35 joules

Given:

inertia,I=0.034kgm²

torque,τ=0.11nm

time,t=8.0s

To find:

kinetic energy,KE

we can find the kinetic energy by using

[tex]k = \frac{1}{2} iω {}^{2} [/tex]

so firstly we will find ω by finding α

α=τ/I

α=0.11/0.34

=3.23

then we find ω

ω=α×t

=3.23×8

=25.84

[tex]k = \frac{1}{2}iω {}^{2} [/tex]

k=1/2×0.34×(25.84)2

=1/2×22.70

k=11.35

so kinetic energy is 11.35 joules

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(a) time taken for the car to accelerate from v to 2v = t = [tex]\frac{2V-V}{a}[/tex]

(b) velocity of the car moving at 2t seconds = ΔV = 2at

(a) we know that,

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]

where, [tex]V_{F}[/tex] is the final velocity

[tex]V_{0}[/tex] is the initial velocity

a = acceleration

t = time

Time taken to accelerate from V to 2V:

t = [tex]\frac{2V-V}{a}[/tex]

(b) We know that,

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]

where, [tex]V_{F}[/tex] is the final velocity

[tex]V_{0}[/tex] is the initial velocity

a = acceleration

t = time

how fast is the car moving at 2t seconds after starting,

we can represent [tex]V_{F}[/tex] - [tex]V_{0}[/tex] = ΔV

at time = t= 2t, it becomes

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex] = a = ΔV/2t

t= ΔV/2a

ΔV = 2at

Rate of change of velocity with time, both in terms of speed and direction is known as acceleration.

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A Final statement or concluding statement

The aspect of lighting that refers to the relative intensity of illumination is called Lightning Quality.

Based on the luminosity function, luminous intensity is a measure of the  wavelength-weighted power emitted by a light source in a specific direction per unit solid angle.

Photometry is the science of measuring visible light as it is experienced by human eyes.

The human eye can only sense light in the visible range and is sensitive to different wavelengths of light within that spectrum.

The eye is most sensitive to greenish-yellow light at 555 nm when it is acclimated for bright settings (photopic  vision).

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When energy is transferred between earth's system, some energy is lost to the surroundings in the form of

-light

-movement

-heat

-vibration

Only a few factors account for the majority of the energy in the Earth system: solar energy, gravity, radioactive decay, and the rotation of the Earth. Many surface processes, including winds, currents, the hydrologic cycle, and the entire climate system, are powered by solar energy. Rivers and other materials flow downhill due to gravity, which also causes tides (due to the Moon's gravitational pull). The Earth's interior is heated by radioactive decay, while air and water currents are influenced by the forces of rotation.

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The Nebular theory explains the formation of our solar system from a mass of gas, ice, and dust particles.

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Answer:

Approximately [tex]17.8\; {\rm L}[/tex].

Explanation:

Consider a straight wire section of length [tex]L[/tex] carrying a current of [tex]I[/tex]. If that wire is placed in a magnetic field of strength [tex]B[/tex] at an angle of [tex]\theta[/tex] relative to the field, the magnitude of the magnetic force on this wire would be:

[tex]F = B\, I\, L\, \sin(\theta)[/tex].

In this question, [tex]\theta = 90^{\circ}[/tex] since the wire is perpendicular to the magnetic field. The magnitude of the magnetic force on this wire would be:

[tex]\begin{aligned}F &= B\, I\, L\, \sin(\theta) \\ &= (0.250\; {\rm T}) \, (15.0\; {\rm A}) \, (4.75\; {\rm m})\, (\sin(90^{\circ}) \\ &\approx 17.8\; {\rm N} \end{aligned}[/tex].

The cardiac output is 180ml/min.

What is Stroke volume(SV)?

SV = End diastolic volume (EDV) - End systolic volume (ESV)

SV = 120ml - 30ml

SV = 90ml

What is Cardiac Output?

CO = Stroke volume(SV) x Heart rate (HR)

CO = 90ml x 90bpm

CO = 180ml/min

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a.  

b.

c.

A grade is the ratio of the vertical rise to horizontal run of a road

The coefficient of static friction is a number which shows the amount of friction between two surfaces.

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Telegraph hill = 31.5%

= 31.5/100

= 0.315

θ = tan⁻¹(grade)

θ = tan⁻¹(0.315)

θ = 17.48⁰

So, the angle for telegraph hill is 17.48⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan17.48⁰

≥ 0.315

So, the coefficient of static friction has to be no less than 0.315

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Canton Ave. = 37%

= 37/100

= 0.37

θ = tan⁻¹(grade)

θ = tan⁻¹(0.37)

θ = 20.3⁰

So, the angle for Canton Ave. is 20.3⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan20.3⁰

≥ 0.37

So, the coefficient of static friction has to be no less than 0.37

Since grade = rise/run

= tan θ

So, θ = tan⁻¹(grade)

Since grade for Bradford Street = 41%

= 41/100

= 0.41

θ = tan⁻¹(grade)

θ = tan⁻¹(0.41)

θ = 22.3⁰

So, the angle for Bradford Street is 22.3⁰

For no sliding the coefficient of static friction, μ ≥ tanθ

≥ tan22.3⁰

≥ 0.41

So, the coefficient of static friction has to be no less than 0.41

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