To calculate potential energy, use the formula
[tex]ep \: = mgh[/tex]
Where m is mass in kg, g is gravitational field strength in m s^-2 and h is height in metres.
So in this case, calculate
2kg × 9.8m/s × 40m
and you should find your answer.
A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.
4.0 mm Vo -10 nC 3.0 mm
What is the proton's speed as it passes through point P?
Express your answer to two significant figures and include the appropriate units.
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
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What do you measure a football field with?
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.
Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in particular in the smokestacks of coal-burning power plants. One form of precipitator consists of a vertical, hollow, metal cylinder with a thin wire, insulated from the cylinder, running along its axis (Figure 1). A large potential difference is established between the wire and the outer cylinder, with the wire at lower potential. This sets up a strong radial electric field directed inward. The field produces a region of ionized air near the wire. Smoke enters the precipitator at the bottom, ash and dust in it pick up electrons, and the charged pollutants are accelerated toward the outer cylinder wall by the electric field. Suppose the radius of the central wire is 80.0 um, the radius of the cylinder is 14.0 cm, and a potential difference of 50.0 kV is established between the wire and the cylinder. Also assume that the wire and cylinder are both very long in comparison to the cylinder radius.
What is the magnitude of the electric field midway between the wire and the cylinder wall?
The dielectric constant of water, also known as the relative permittivity of water, is approximately 80.
What is dielectric constant?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.
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A "burning glass" used to concentrate sunlight in a tiny spot is a. A) converging lens. B) diverging lens. C) either. D) neither.
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
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Before attempting to answer these question, draw a copyof this diagram. All of the locations indicated by letters areinside the wire.
(a) On your diagram, show the electric field at the locationsindicated, paying attention to relative magnitude.
(b) Carefully draw pluses and minuses on your diagram to show theapproximate surface charge distribution that produces the electricfield you drew. Make your drawing show clearly the differencesbetween regions of high surface charge density and regions of lowsurface charge density.
Use your diagram to answer the following question:
Which of the following statments about this circuit aretrue?
O There is excess charge on the surface ofthe wire near the batteries, but nowhere else.
O There is no excess charge on the surfaceof the wire.
O The magnitude of the electric field insidethe wire is larger at location G than at location C.
O There is some excess negative charge on the surface of the wire nearlocation B.
O The magnitude of the electric field is thesame at locations G andC.
O The electric field at locationD points to the left.
O Because the current is not changing, thecircuit is in static equilibrium.
O Inside the metal wire the magnitude of theelectric field is zero.
O The electric field points to theleft at location A.
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.
What is the name for extra electrical charge?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.
What transpires when an electric field is applied to a conductor?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.
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What is the Big-Bang Theory?
The Big Bang theory is the prevailing cosmological model that explains the origins of the universe. According to the theory, the universe began as a singularity, a hot and infinitely dense point, approximately 13.8 billion years ago. From this singularity, the universe expanded and cooled, eventually leading to the formation of subatomic particles, atoms, stars, and galaxies. The theory also states that the universe is still expanding and it's getting cooler and larger.
The theory was first proposed by Belgian priest and physicist Georges Lemaître in 1927 and later developed by Edwin Hubble's observations of the redshifts of distant galaxies in the 1920s and 1930s. The theory has been extensively tested and supported by a wide range of observational evidence, including cosmic microwave background radiation and the large-scale structure of the universe.
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Answer:
The Big-Bang Theory is the prevailing cosmological model for the universe from the earliest known periods through its subsequent large-scale evolution. The model describes how the universe expanded from an initial state of high density and high temperature, and offers a comprehensive explanation for a broad range of phenomena, including the abundance of light elements, the cosmic microwave background, large scale structure and Hubble's law. According to the Big-Bang Theory, the universe was once in an extremely hot and dense state which expanded rapidly. As it cooled, the first subatomic particles formed and then simple atoms, eventually leading to the formation of stars and galaxies. The Big-Bang Theory is supported by a wide range of scientific observations and provides a comprehensive explanation for the structure and evolution of the universe.
When you slide a box across the floor what force must your push be stronger than? 1. Normal force 2. Friction force 3. Gravity 4. Air resistance
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.
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The figure(Figure 1) shows the angular acceleration graph of a turntable that starts from rest. What is the turntable's angular velocity at t = 1.5 s? Express your answer to two significant figures and include the appropriate units.
The turntable's angular velocity at t = 1.5 s is 1.5 rad /s from the angular acceleration graph.
What is the relationship between angular velocity and acceleration?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
Are the directions of angular velocity and acceleration the same?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.
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Use Appendix F In The Textbook To Calculate The Binding Energy Of 2/1 H (Deuterium). Express Your Answer Using Four Significant Figures.
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 .
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the figure (figure 1) is an energy-level diagram for a simple atom.
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.
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Consider the circuit shown in (Figure 1). Assume E = 15 V
B. What is the charge on 3.0 μF capacitor?
C. What is the charge on 4.0 μF capacitor?
D. What is the charge on 6.0 μF capacitor?
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.
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If, at a given time, the position of a subatomic particle is precisely known, then
a. its velocity cannot be precisely known
b. the time over which it was measured cannot be precisely known.
c. the particle will disappear
d. no other particles can have the same position
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.
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Write a balanced equation for the decomposition reaction that occurred in Experiment 2. Include physical states. copper(ii) carbonate hydroxide
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.
Is the compound iron II carbonate hydroxide solid?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.
Copper carbonate can either be a solid, liquid, or gas?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.
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A 7.30 kg sign hangs from two wires. The first wire is attached to the left end, and pulls 28.0 N directly left. What is the y-component of the force of the second wire?
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:
Tension on the left, from the wire on the left end.Tension on the right, from the wire on the other end.Weight, from the planet.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:
[tex]0\; {\rm N}[/tex] for the wire on the left end, since this tension is entirely horizontal (entirely in the [tex]x[/tex]-direction,)[tex](-71.6)\; {\rm N}[/tex] for the weight, which points downwards, andNot yet found for the tension from the other wire.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].
is resolution greater with blue light or red light, all other factors being equal?
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.
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Germicidal lamps are used to sterilize tools in biological and medical facilities. One type of germicidal lamp is a low-pressure mercury discharge tube, similar to a fluorescent lightbulb, that has been optimized to emit ultraviolet light with a wavelength of 254 nm. A 15-mm-diameter, 25-cm-long tube emits 4.5 W of ultraviolet light. The mercury vapor pressure inside the tube is 1.0 Pa at the operating temperature of 40?C.
Part A
On average, how many ultraviolet photons does each mercury atom emit per second?
Express your answer using two significant figures.
Part B
The lifetime of the excited state in mercury is a rather long 120 ns. On average, how much time does a mercury atom spend in the excited state?
Express your answer to two significant figures and include the appropriate units.
Answer of part A and Part B is given below.
What is wavelength?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.
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Is the following sentence true or false? A frame of reference is not necessary to describe motion accurately and completely.
The following sentence A frame of reference is not necessary to describe motion accurately and completely is False.
Why a frame of reference is necessary to describe motion accurately ?A frame of reference is necessary to describe motion accurately as A set of objects that are stationary with respect to one another is referred to as a frame of reference. An abstract coordinate system and the collection of physical reference points which uniquely fix (locate and orient) the coordinate system and standardize measurements inside that frame are generally referred to as a frame of reference (or reference frame).To know more about frame of reference visit
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what is the effect on the color of a cloud when it contains an abundance of large droplets?
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.
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The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel.
Part A
If this is its height in winter when its temperature is -8.00 ∘C , how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 42.0 ∘C ?
Express your answer in feet to two significant figures
Part B
Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees.
Express your answer to two significant figures.
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
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The magnetic force on a charged particle is in the direction of its velocity if a never
b. it is moving in the direction of the field c.it is moving perpendicular to the field d. it is moving in some other direction
b. it is moving in the direction of the field
When a charged particle is moving in a magnetic field, it experiences a force called the Lorentz force. The direction of this force is perpendicular to the both, the velocity of the particle and the magnetic field. If the velocity of the particle is in the same direction as that of the magnetic field, the Lorentz force is in the direction of the velocity of the particle. If the velocity of the particle is perpendicular to the magnetic field, the Lorentz force is also perpendicular to the velocity of the particle.
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All of the following images can be formed by a converging lens except which one?
Select one:
a. image at infinity
b. virtual, inverted, and same size
c. real, inverted, and reduced
d. real, inverted, and same size
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.
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The moral quality of the will that voted the nation dry had its origin in a moral and social source. It
was an honest desire to protect human life. This wish made concrete and appealing through the lives
of women and children…As the race has evolved, womanhood and childhood have come to occupy
more commanding positions. Today in the United States the moral sense of the people puts them
first. What is good for them should become a law. So the voters were led to believe and so they
acted. Men and women merely said, The liquor business is a menace to our women and children.
Let us get rid of it...".…Salvation Army leaders, social workers, district nurses, Prohibition officers,
child welfare organizations, and others who are in close observance of social conditions have
repeatedly declared that no other law has worked so great a revolution in social welfare as has
Prohibition... Nearly one hundred million dollars of funds once spent to cure the harm done by the
saloon is now expended in fresh air work, free dental clinics, prematurity care, district nursing.
hospitalization, and other forms of work.…
Summarize the main idea
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.
What lessons can be learned from Prohibition?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.Six Things About Prohibition We Can Learn.Prohibition Depends on Interest Groups.People who would not otherwise commit crimes are made criminals by prohibition.As a result of prohibition, criminals have access to markets.Prohibition diverts resources from law enforcement and raises the risks of already dangerous activities.For the purpose of preventing the "scourge of intoxication," Prohibition was put into place.However, it had unforeseen effects, such as an increase in organized crime linked to the illicit manufacturing and sale of alcohol, a rise in smuggling, and a decrease in tax revenue.To learn more about Prohibition refer
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Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among
a. middle-aged women.
b. middle-aged men.
c. people 20 and over
d. people 19 and under.
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.
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A uniformly charge d insulating rod of length 14.0cm is bent into the shape of a semicircle as shown in Figure. The rod has a total charge of −7.50μC. Find (a) the magnitude and (b) the direction of the electric field at O, the center of the semicircle.
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.
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Find the change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moves from A⇒B given that the change in EP (ΔU) between the points is 24V
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.
How can we calculate the change in electric energy using the given equations?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.
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You examine the fine print in a legal contract with a magnifying glass of focal length 5.0 cm.
A.) How far from the lens should you hold the print to see a final virtual image 30 cm from the lens (at the eye's near point)?
*The answer is not 6 cm*
B.) Determine the angular magnification of the magnifying glass.
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.
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in solving an exponential equation, which of the following is not a sound technique to use?
A. If the exponential equation has the form abc, first divide both sides by the constant a
B. If the exponential equation has the form ab* -c, first take the log of both sides and then bring down
C. If the exponential equation cannot be written in the form b-b", "take the log of both sides" and then
D. Finst by writing the exponential equation in the form b-b" and then solving u-v
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.
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m
A0.15 kg ball is thrown with a speed of v= 5.0 at a resting stick that can rotate around
one end at axis O. The ball hits the stick at r=0.50 m from O as shown below.
VS
r
O
What is the angular momentum of the ball about axis O before hitting the stick?
Answer using a coordinate system where counterclockwise is positive.
Round answer to two significant digits.
kg-m²
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 .
What do you mean angular momentum?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
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from the following list, select the characteristics of a refrigerator. (select all that apply.) multiple select question. receive heat from a low-temperature reservoir receive heat from a high-temperature reservoir reject heat to a low-temperature reservoir reject heat to a high-temperature reservoir
A refrigerator that accepts heat from a low-temperature reservoir also rejects heat to the same reservoir.
What is a refrigerator?A refrigerator is an open system that moves heat from a closed space to a warmer location, typically the kitchen or another room. By removing the heat from this area, the temperature drops, allowing food and other items to remain cool.The primary purpose of a refrigerator is to keep food cold. Cold temperatures keep food fresher for longer. The basic idea behind refrigeration is to slow down the activity of bacteria (which is present in all food) so that the bacteria take longer to spoil the food.The main principles of the refrigeration process, or cycle, are the absorption of the amount of heat required for the change of state from a liquid to a vapor by evaporation and the release of that amount of heat required for the change of state from a vapor back to the liquid by condensation.To learn more about refrigerator refer to :
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. Johnathan road his bicycle up a hill at a velocity of 17.15 m/s. Johnathan and his bicycle had
a combined mass of 88 kg. What was the height of the hill?
The height of the hill is 15 m.
What is the height of the hill?
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;
v is the velocity of Johnathang is acceleration due to gravityh = ( v² ) / ( 2g )
h = ( 17.15² ) / ( 2 x 9.8 )
h = 15 m
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