a conservative force has the potential energy function u ( x ), shown by the graph above. a particle moving in one dimension under the influence of this force has kinetic energy 1.0 joule when it is at position x1. which of the following is a correct statement about the motion of the particle?

The magnitude and (b) the direction of the electric field at O, the center of the semicircle is E = 2.16 × 10⁷ N/C and direction is Left.

Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field's equation is given as E = F / Q.

Due to symmetry,

Ey = ∫ dEy = 0,

and E¸ = − ∫ dE sin θ

= −ke∫  dq sinθ/ r2

where

dq=λds = λrdθ;

the component Ex is negative because charge q = -750µC,

causing the net electric field to be directed to the left.

Ex = Κeλ/r ∫ Sinθ

= - (Keλ) (- Cos θ) / r

= -2Keλ / r

where λ and r = L/ π.

Thus,

Ex = 2Ke |q|Π / L²

= [- 2(8.99 × 10⁹ N. m²/С²)(7.50 × 10 С)π] / (0.140 m)2

Ex = -2.16 × 10⁷ N/C

(a) magnitude E = 2.16 × 10⁷ N/C

(b) the direction of the electric field at O, the center of the semicircle is Left.

To learn more about Electric field from given link

https://brainly.com/question/14372859

#SPJ4

The force that must be stronger than when sliding a box across the floor is the friction force. Friction is the resistance of motion when two objects rub together.

What is resistance ?

Resistance is the opposition to the flow of electrons or other particles. It is measured in ohms, and is the ratio between voltage and current in an electrical circuit.

Resistance is a fundamental property of materials and is related to the amount of energy needed to push electrons through them. It is also affected by temperature, humidity and other environmental factors. Resistance is an important factor in electrical engineering and is vital for determining the power and efficiency of electrical systems.

To learn abot more resistance .

brainly.in/question/19540047

#SPJ4

The dielectric constant of water, also known as the relative permittivity of water, is approximately 80.

The dielectric constant, also known as the relative permittivity, is a measure of a material’s ability to resist the flow of electric current when electric field is applied. It is a ratio of the amount of electric field needed to make a material conduct electric current compared to that of a vacuum. The higher the dielectric constant of a material, the more electric field is needed to make it conduct electric current. Common materials with high dielectric constants include glass, plastics, rubber, and water.

This is the ratio of the electric field of water to the electric field of a vacuum, which is calculated by dividing the speed of light in a vacuum (3.00 × 10^8 m/s) by the speed of light in water (2.26 × 10^8 m/s). This ratio indicates that the electric field of water is 80% of the electric field of a vacuum, meaning that the dielectric constant of water is 80.

To know more about dielectric constant click-
https://brainly.com/question/13873821
#SPJ4

In solving an exponential equation, If the exponential equation has the form ab^x=c, first "take the log of both sides" and then "bring down any exponents".

Consider the case where you have given a log of x plus 3 and it equals 10. There is no base because this is the common log. It is a log base 10 if there is no base. In this case, log base 10 of x + 3 equals 2. A log is a time expression. In this case if we take log on both sides we will get constant logC on the RHS and Xlogab on the LHS. we can put log(ab)= loga + logb. X will stay as a product. In this case, we can not cut logs from both sides. So the equation will be harder to solve. this is why taking log on both sides is not a sound technique, especially when exponents are involved.

For log of exponents, check out this link:-
https://brainly.com/question/29775602

#SPJ4

The change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moving from A⇒B given that the change in EP (ΔU) between the points is 24V are 5.28 x 10⁻⁵ J and 2.64 x 10⁻⁵ J respectively.

The change in electric potential energy (ΔU) can be calculated using the equation ΔU = qΔV, where q is the charge and ΔV is the change in electric potential between the two points.

For a charge of 2.2 x 10⁻⁶ c moving from A to B:

ΔU = (2.2 x 10⁻⁶ c)(24 V) = 5.28 x 10⁻⁵ J

For a charge of -1.1 x 10⁻⁶ c moving from A to B:

ΔU = (-1.1 x 10⁻⁶ c)(24 V) = -2.64 x 10⁻⁵ J

The negative sign on the second case indicates that the work done would be done against the direction of the electric field and thus the energy would be absorbed from the field.

Therefore, the correct answers are as given above.

learn more about change in electric energy: https://brainly.com/question/12995630

#SPJ1

If the ball of mass is 0.15 kg is thrown with a speed of 5 m/s then the angular momentum of the ball about axis O is 0.38 Kg-m² /s .

Any rotating object's characteristic defined by moment of inertia times angular velocity. It is a property of rotating bodies determined either by sum of their inertia moment and angular velocity.

mass of ball (m) = 0.15 Kg

velocity of the ball (v) = 5 m/s

Radius (r) = 0.50 m

from the angular momentum formula (L) =

⇒ L = m×v×r

⇒ L = 0.15×5.0×0.50

⇒ L = 0.38 Kg-m²/s

To know more about Angular momentum visit :

brainly.com/question/30214327

#SPJ1

The coefficient of linear expansion of steel is 57.4ft/F of an Eiffel Tower in Paris which is 984 ft tall and is made mostly of steel.

Given the height of Eiffel Tower (L1) = 984ft

Let the additional height be L2.

Temperature in winter (T1) = -8∘C = 17.6F

Temperature in summer (T2) = 42∘C = 107.6F

Let the coefficient of linear expansion of steel = αL

We know that ΔL = αLΔT , L represents the change in length, T represents the change in temperature, and αL is the linear expansion in the formula for linear thermal expansion.

So, as L α T such that L1/L2 = T1/T2

984/L2 = 17.6/107.6

L2 = 984/0.16 = 6150ft

αL = ΔL/ΔT = (L2-L1)/(T2-T1) = 6150-984/107.6-17.6 = 57.4ft/F

Hence the coefficient of linear expansion of steel is 57.4ft/F

To learn more about linear expansion click here https://brainly.com/question/14780533

#SPJ4

The molar mass of copper (II) carbonate and copper (II) hydroxide is 221.13 g/mol. The equation for the balanced reaction is CuCO3.Cu(OH)2 2CuO + CO2 + H2O.

It is also an electrical solid compound made of carbonate anions CO2 and copper (II) cations Cu2+. Most frequently, a basic copper carbonate, such as Cu2(OH)2CO3, is referred to as cupric carbonate or copper carbonate.

Malachite, a green crystalline solid, is what it looks like in nature. It has been used as a pigment since antiquity and is currently employed as one in artist paints. This substance is also known as verditer, emerald bice, and mountain green.

To know more about equation visit:

https://brainly.com/question/14447594

#SPJ4

The diagram shows the possible energy levels that an atom can occupy. The atom is assumed to have two electrons, shown by the two distinct circles.

What is atom?
Atom is a free and open-source text editor created by GitHub that works on the three major operating systems; Windows, Mac and Linux. It is a highly customizable text editor that can be used for coding, writing and editing. It offers a wide range of features such as syntax highlighting, multi-cursor editing, automatic indentation, and auto-completion.

There are two main energy levels, the ground state and the excited state. The ground state is the lowest energy level, and the excited state is the highest energy level that the atom can occupy. In between these two levels are the intermediate energy states, which the electrons can transition between.

To learn more about atom
https://brainly.com/question/621740

#SPJ4

If, at a given time, the position of a subatomic particle is precisely known, then no other particles can have the same position.

What is particles?

Particles are the smallest and most fundamental units of matter. They are the building blocks of all matter and are composed of one or more atoms. Particles are classified into two broad categories: subatomic particles, which are particles that are smaller than an atom and make up the structure of an atom, and atomic particles, which are particles that can form atoms. Subatomic particles include protons, neutrons, and electrons, while atomic particles include ions, atoms, and molecules. Particles interact with other particles through forces such as the strong nuclear force, electromagnetic force, and weak nuclear force. Particles can also exist in a variety of states, including solid, liquid, and gas.

To learn more about particles

https://brainly.com/question/94094

#SPJ4

The focal length is 4.28cm and the magnification is 7.

What is focal length ?

A lens's focal length is established when it is focused at infinity. We can determine the magnification—how large individual elements will be—and the angle of view—how much of the picture will be captured—by knowing the focal length of the lens. The angle of view is smaller and the magnification is greater the longer the focal length.

What is angular magnification ?

The ratio between the angle that the image of an object at an unaided eye or without the apparatus subtends and the angle that the image subtends at the microscope is known as the angular magnification of the object.

We have the lens equation

1/ f = 1/ u = 1/ V

Here the image is virtual

so V  = - 30

1/ f = 1/ u - 1/ v

1/ 5= 1/ u -1/ 30

1/5 + 1/ 30 = 1/ u

u = 4.28cm

magnification

m = -v/u

= - (-30)/ 4.28

= 7

Therefore, the focal length is 4.28cm and the magnification is 7.

Learn more about focal length from the given link.

https://brainly.com/question/1031772

#SPJ4

Answer: b

Explanation: i did this before lol

A proton travels down the path depicted in Figure 1 at a speed of 2.67 x 106 m/s as it passes through point P. v0 = 2.8 106 m/s is the initial speed. 3.0 mm, -10 nC, 4.0 mm Vo.

The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time.

v₂^2= 2/(1.67 x 10^-27) [9 x 10^9 x 10 x 10] x [1.67 x 10^27] x [2.2 x 10^6]

= [9 x 10^9 x 10 x 10^9 x 1.6 x 10^19 (1/0.003 - 1/0.005)]

= 2.67 x 10^6 m/s,

v2 = 1.44 x 1023, and v22 = 7.14 x 10^12

Learn more about speed here

https://brainly.com/question/28224010

#SPJ4

A refrigerator that accepts heat from a low-temperature reservoir also rejects heat to the same reservoir.

To learn more about refrigerator refer to :

https://brainly.com/question/11014767

#SPJ4

Blue light has a shorter wavelength than red light, so it would be expected to have a greater resolution.  However, resolution is not solely determined by the color of light used.

Blue light has a shorter wavelength than red light, which allows it to be focused to a smaller spot and produce a higher resolution image. When it comes to resolution, blue light has an advantage over red light due to its shorter wavelength. This is because, shorter wavelength light can be focused to a smaller spot, which results in a higher resolution image, as the image details are captured in a smaller space.

There are other factors that also play a role in the resolution of an image, such as the size and quality of the lens, as well as the sensitivity of the camera or sensor used. A good quality lens with high resolution capabilities, regardless of the color of light it is using, can produce a high resolution image. Similarly, a high sensitivity camera or sensor will also lead to a higher resolution image. In summary, while blue light has an inherent advantage over red light when it comes to resolution, other factors such as the lens and camera or sensor used also play a crucial role in determining the resolution of an image.

To learn more about resolution,

https://brainly.com/question/24769299

#SPJ4

There is some excess negative charge on the surface of the wire near location B. Because the current is not changing, the circuit is in static equilibrium. There is no excess charge on the surface of the wire.

Static electricity is the buildup of extra electric charge on an object. Gauss's law tells us that in an equilibrium state, any excess charge on a conductor travels to the surface. The extra charges will disperse evenly throughout the conductor's outside surface, causing the electric field within to be zero.

Electrons are free to move in a conductor. If they are subjected to a force, they will move faster in that direction. If an external electric field is applied to a conductor, a force F = -eE results. When the field is present, electrons move faster and gain momentum in the opposite direction.

Learn more about electric field here:

/brainly.com/question/15800304

#SPJ4

All answers about capacitor is given below.

To answer these questions, we need to use the equation Q = CE, where Q is the charge on the capacitor, C is the capacitance, and E is the voltage across the capacitor.

For the 3.0 μF capacitor, the charge is Q = (3.0 μF)(15 V) = 45 μC.

For the 4.0 μF capacitor, the charge is Q = (4.0 μF)(15 V) = 60 μC.

For the 6.0 μF capacitor, the charge is Q = (6.0 μF)(15 V) = 90 μC.

To know more about capacitor click-
https://brainly.com/question/13578522
#SPJ4

The turntable's angular velocity at t = 1.5 s is 1.5 rad /s from the angular acceleration graph.

When there is non-uniform circular motion, the rate of change in angular velocity (i.e., angular acceleration) is =t. = t. A t = v t denotes linear or tangential acceleration, which describes changes in velocity's magnitude but not its direction.

The turntable's angular velocity at t = 1.5 s

Angular acceleration( α )from the figure at t=1.5 s is 1 rad/s2.

      α => ω / t

      ω => α x t = 1 rad/s2 x 1.5 s

           => 1.5 rad /s

The angular acceleration points in the same direction as the angular velocity if the angular velocity is rising and growing. The angular acceleration points in the opposite direction of the angular velocity if the angular velocity is decreasing.

Learn more about angular velocity here:

brainly.com/question/29557272

#SPJ4

The acceleration of the car due to force applied is 0.298 m/s^2.

There are two parts to the gravitational force acting on a slope. They are the driving force (fs) that pushes the block down the hill and the friction-producing normal force (fn) that pushes into the slope.ma = F (applied) - mgsinФ

m = mass = 500Kg;  a = acceleration;  F (applied) = Applied force = 1000N

Ф = angle of slope = 10⁰; g = Acceleration due to gravity = 9.8 m/s^2

500 x a = 1000 - (500 x 9.8 x sin10);

a =[ 1000 - (500 x 9.8 x sin10)] / 500;

  = 0.298 m/s^2.

Two elements ultimately affect the stability of the slope. They are the slope's angle and the strength of the materials used to construct it.

Learn more about acceleration here:

brainly.com/question/12550364

#SPJ1

Answer:

Approximately [tex]71.6\; {\rm N}[/tex] (assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex].)

Explanation:

Refer to the diagram attached. Forces on this object are:

Assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex], the magnitude of the weight of the sign would be:

[tex]\begin{aligned}(\text{weight}) &= m\, g \\ &= (7.30\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}) \\ &\approx 71.6\; {\rm N}\end{aligned}[/tex].

Note that weight points downwards (negative) and is entirely in the vertical direction. As a result, the [tex]y[/tex]-component of weight would be equal to [tex](-71.6)\; {\rm N}[/tex].

Hence, the [tex]y[/tex]-component of these forces would be:

Since forces on the object to be balanced, forces need to be balanced in each component. For forces in the [tex]y[/tex]-component to be balanced, forces in the vertical direction need to add up to [tex]0\; {\rm N}[/tex]:

[tex]0\; {\rm N} + (-71.6)\; {\rm N} + (\text{$y$-component of tension on the right}) = 0\; {\rm N}[/tex].

Hence, the [tex]y[/tex]-component of the tension from the wire on the right end would be [tex]71.6\; {\rm N}[/tex].

2344 J is the Binding Energy Of 2/1 H .

What is Energy ?

Energy, in physics the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or various other forms. There is also heat and work. H. After transmission, energy is always referred to according to its nature. Thus, the heat transferred can become thermal energy, while the work done can appear as mechanical energy. All forms of energy are associated with movement. For example, any object has kinetic energy when it is in motion. A taut device such as a bow or spring can create motion even when stationary. Because of its composition, it contains potential energy. Similarly, nuclear energy is potential energy as it results from the composition of subatomic particles within the nucleus .

To learn more about energy ,click the given link;

brainly.com/question/13881533

#SPJ4

Answer of part A and Part B is given below.

Wavelength is a measure of the distance between two successive crests or troughs on a wave. It is measured in the same physical units as the length, such as meters (m) or feet (ft). Wavelength is most commonly used to describe light waves, but it can also be applied to sound waves, water waves, and other types of waves. Wavelength is inversely related to the frequency of a wave, meaning that waves with shorter wavelengths have higher frequencies. In optics, the term "wavelength" is used to describe the frequency of visible light, which ranges from 380 to 780 nanometers.

Part A
On average, each mercury atom emits 6.2x10^7 ultraviolet photons per second.
Part B
The average time that a mercury atom spends in the excited state is 12 µs.

To know more about wavelentgh click-
https://brainly.com/question/10728818
#SPJ4

Large droplets in a cloud will scatter lower frequency light. The cloud will therefore seem reddish.

The term "hygroscopicity" refers to how much water an aerosol absorbs under a particular set of environmental conditions. Inorganic salts are the species that are most hygroscopic in the atmosphere. However, due to advantageous hydrogen-bonding interactions with water, oxygenated organic compounds can also be hygroscopic. Surface-active organic species further promote hygroscopicity by lowering surface tension. Not only can oxidation reactions in the atmosphere significantly contribute to increasing hygroscopicity by adding oxygen scattering, but they may also have an impact on how surface material is partitioned, which in turn affects cloud formation by causing changes in surface tension.

Learn more about scattering here-

https://brainly.com/question/9922540

#SPJ4

When an object is positioned in front of the focal point of a converging lens, a virtual image is created. The image is magnified and upright in this posture, making it simpler to view.

The image is actual and inverted as long as the object is outside of the focal point. The image becomes virtual and upright when the object is inside the focal point. When the item is positioned inside the focal length, converging lenses can also create virtual images. Since it will be farther away from the lens than the object in that scenario, the virtual picture will be upright and expanded.

Learn more about focal length here-

https://brainly.com/question/29870264

#SPJ4

A football field is typically measured in yards. The standard measurements for a football field are 100 yards long and 53.3 yards wide. These measurements include the end zones which are typically 10 yards deep. The field is also divided into two equal halves, each measuring 50 yards. The lines on the field are also measured in yards and are used to mark the distance for a first down, the goal line, and the sidelines. The measurements are precise and are required to be the same for all official NFL games.

The answer is (d) i.e. People 19 and under.

Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among people 19 and under.

The twenty-first century has seen a dramatic rise in the prevalence of the bipolar disorder among people aged 19 and under. This increase is likely due to a combination of factors, such as improved awareness and diagnosis of the disorder and changes in lifestyle and environment. For instance, increased stress and pressure due to digital technology, social media, and academic demands are thought to be contributing to the rise in bipolar disorder.

Additionally, changes in diet and sleep habits due to the convenience of digital technology may also be contributing to the increased prevalence of the disorder. Ultimately, the rise in bipolar disorder is concerning, and further research is needed to understand and address the factors driving this increase.

To learn more about Bipolar Disorder:

brainly.com/question/10958617

#SPJ4

The height of the hill is 15 m.

The height of the hill is calculated by applying the principle of conservation of energy as shown below.

Kinetic energy at the bottom of the hill = Potential energy at the top of the hill

mgh = ¹/₂mv²

gh = ¹/₂v²

h = ( v² ) / ( 2g )

where;

h = ( v² ) / ( 2g )

h = ( 17.15² ) / ( 2 x 9.8 )

h = 15 m

Learn more about Height of hill here: https://brainly.com/question/24219606

#SPJ1

The following sentence  A frame of reference is not necessary to describe motion accurately and completely is False.

To know more about frame of reference visit

https://brainly.com/question/12222532

#SPJ1

A moral and social wellspring was the source of the moral quality of the vote that dried up the country.Protecting human life was a sincere desire.The lives of women and children gave this wish a tangible and compelling form.

To learn more about Prohibition refer

https://brainly.com/question/27862866

#SPJ1

Option A) converging lens  , is the correct answer

What is lens ?

A lens is  a transparent material, usually circular, with two polished surfaces, one or both of which are curved, either convex (curved) or concave (deep). Curves are almost always spherical. That is, the radius of curvature is constant. Lenses have the valuable property of producing images of objects in front of us. Singlet lenses are used in eyeglasses, contact lenses, pocket magnifiers, projection condensers, signal lights, viewfinders, and simple box cameras

To learn more about lens ,click the given link;

https://brainly.com/question/28039799

#SPJ4