Answer:
12 m/s
Explanation:
The final speed of an object that is subjected to uniform acceleration can be calculated using the equation:
v^2 = u^2 + 2as
where v is the final speed, u is the initial speed (in this case, 0 m/s since the object starts from rest), a is the acceleration (4.0 m/s^2 in this case), and s is the distance traveled (18.0 m in this case).
Plugging in the values, we have:
v^2 = 0 + 2 * 4.0 * 18.0
v^2 = 144
v = √(144)
v = 12 m/s
So the final speed of the object is 12 meters per second.
A small block has constant acceleration as it slides down a frictionless incline. The block is released from rest at the top of the incline, and its speed after it has traveled 6.80 m to the bottom of the incline is 3.80 m/s. What is the speed of the block when it is 3.40 m from the top of the incline?
The speed of the block after 3.4 m is 2.68 m/s. Speed can be defined as the change in the position of an object over time.
The position of an object changes with time, and this is what is meant by speed.
Calculate the acceleration first,
Vf²- Vi²=2aΔs,
Where,
Vf is final speed = 3.80 m/s
Vi is initial speed = 0
Δs is Distance traveled = 7.4 mm
A is acceleration
Fill out the formula with the values,
Vf²- Vi²=2aΔs,
(3.80 m/s)² - 0² = 2xa x6.8 mm
1.061 m/s² = a
Put the value of acceleration,
Vf²- Vi²=2aΔs,- Vi²=2aΔs
Vf²= 2aΔs + Vi²
Vf² = 2x 1.061 m/s² x 3.4mm + 0²
Vf²= 7.22
Vf=2.68 m/s
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an unknown additional charge q3 is now placed at point b, located at coordinates (0 m , 15.0 m ). find the magnitude and sign of q3 needed to make the total electric field at point a equal to zero. express your answer in nanocoulombs to three significant figures.
The magnitude and sign of q3 needed to make the total electric field at point a equal to zero is +0.3nc.
What is the charge?
Electric charge is a physical property of matter that causes matter to experience a force when placed in an electromagnetic field.Electric charge can be positive or negative (commonly carried by protons and electrons, by convention). Like charges, they repel each other, and unlike charges, they attract. An object with no net charge is referred to as neutral. The early knowledge of how charged substances interact is now called classical electrodynamics and is still accurate for problems that do not require consideration of quantum effects.Two point charges are placed on the x axis. The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis.
q3 = +0.3nc
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As well as oxygen levels and rainfall, what other non-living indicator can give a good indication of changes in the environment?.
As well as oxygen levels and rainfall, temperature as
non-living indicator also can give a good indication of changes in the environment.
Change in natural environmentChanges in the natural environment can occur due to natural factors and human factors. Floods, hot lava, volcanic eruptions, earthquakes and tsunamis are examples of changes in the natural environment due to natural factors.
While the cause of changes in the natural environment due to human factors that can cause changes in the natural environment.
For example, the use of technology in managing nature, excessive use of the natural environment, disposal of waste into the natural environment and so on.
When the use of technology is not considered properly it can result in damage. Changes that occur in the natural environment can even cause the people who live in the area to be forced to leave their homes.
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a ball is thrown straight up from the ground level, with an initial velocity of 9.8 m/s. how high is the ball thrown? assume the acceleration due to gravity is 9.8 m/s2.
The ball is thrown up to a height of 4.9 high. The result is obtained by using the equation in uniformly accelerated straight motion.
Uniformly Accelerated Straight MotionThe equations apply in uniformly accelerated straight motion in vertical dimension are
v₁ = v₀ + gt
v₁² = v₀² + 2gh
h = v₀t + ½ gt²
Where
v₀ = initial velocityv₁ = final velocitya = accelerationt = timex = distanceA ball is thrown straight up from the ground level.
v₁ = 9.8 m/sg = 9.8 m/s²Find the height of the ball thrown!
It means that we find for the highest point of the ball can reach. That time the velocity of the ball is 0.
Use the second equation above to find the height of the ball thrown!
v₁² = v₀² - 2gh
0 = 9.8² - 2(9.8)h
96.04 = 19.6h
h = 4.9 m
Hence, the highest point of the ball thrown is 4.9 m.
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how do you find the centroidal axis?
When electrons pass through a battery, they gain energy, but when they pass through a bulb, they lose energy because it is changed into other forms, like light and heat.
What are three facts about electrons?The surface of the center is surrounded by positively attracting electrons.. Scientists may find it challenging to observe them because of how quickly they spin. They are the tiniest components in an atom and are drawn to the protons' positive charge.
What function do electrons serve in an atom?The opposite charges components about an atom are referred as electrons. All of an atom's electrons combine to form a negative electrical charge that counteracts the positive electrical charge of the particles in the elementary particle.
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A spring is hung from the ceiling. When a block is attached to its end, it stretches 2.0 cm before reaching its new equilibrium length. The block is then pulled down slightly and released. What is the frequency of oscillation? (in Hertz)
The frequency of oscillation can be calculated using the formula f = 1/2π√(k/m) where k is the spring constant and m is the mass of the block.
Using a spring constant of k = 100 N/m and a mass of 2 kg, the resulting frequency of oscillation is 0.785 Hertz.
This formula is known as the natural frequency, and is an important concept in physics. The natural frequency of a system is the frequency at which it tends to oscillate when it is disturbed. This is why when a mass is attached to a spring, the system oscillates when it is disturbed. The natural frequency of a system is determined by the mass and stiffness of its components.
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three vectors are added together. the magnitude of the resultant vector may be
Vectors are not added algebraically, but rather geometrically. Two vectors whose product must be determined act differently from one another.
What magnitude of the resultant vector after adding vector?The result of the three vectors will be zero if the criteria listed below hold. If the third vector's direction exactly opposes that of the resultant of those first two vectors. 3. If the third vector has a magnitude exactly equal to the resultant of the first two vectors.
Finding the sum of several vectors acting on a body is what vector addition is all about. Commutative vector addition. This implies that the order of the vectors has no bearing on the final vector.
Therefore, The outcome is the result of adding two vectors. Here, we see that the magnitude and direction of the two vectors are identical. Two vectors are parallel to one another if their magnitude and direction are distinct from one another.
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Vectors are not added algebraically, but rather geometrically. Two vectors whose product must be determined act differently from one another.
What magnitude of the resultant vector after adding vector?The result of the three vectors will be zero if the criteria listed below hold. If the third vector's direction exactly opposes that of the resultant of those first two vectors. 3. If the third vector has a magnitude exactly equal to the resultant of the first two vectors.
Finding the sum of several vectors acting on a body is what vector addition is all about. Commutative vector addition. This implies that the order of the vectors has no bearing on the final vector.
Therefore, The outcome is the result of adding two vectors. Here, we see that the magnitude and direction of the two vectors are identical. Two vectors are parallel to one another if their magnitude and direction are distinct from one another.
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Consider a compound that is 67. 57% c, 9. 92% h, and 22. 50% o by mass. Assume that we have a 100 g sample of this compound. What are the subscripts in the empirical formula for this compound?.
The subscripts in the empirical formula of the compound are 4 for carbon, 7 for Hydrogen, and 1 for oxygen.
Since the compound sample is exactly 100 grams, we can consider the percentages given as the mass of each element. Therefore, we can conclude that the mass of C is 67.57 grams, the mass of H is 9.92 grams, and the mass of O is 22.50 grams.
First, find out the number of moles of each element:
C moles = mass of C / molar mass of C = 67.57 / 12 = 5.63H moles = mass of H / molar mass of H = 9.92 / 1 = 9.92O moles = mass of O / molar mass of O = 22.50 / 16 = 1.41After that, divide each mole value by the smallest value (in this case is 1.41).
Carbon (C) = 5.43 / 1.41 = ~4Hydrogen (H) = 9.92 / 1.41 = ~7Oxygen (O) = 1.41 / 1.41 = 1Therefore, the empirical formula of the compound is C₄H₇O.
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how many signals would you expect to find in the 13c nmr spectrum of the compound shown? 6 7 8 9 10
The 13C NMR spectrum of the compound shown would have 6 signals because the compound contains 6 unique carbon atoms.
What is the compound ?A compound is a substance consisting of two or more elements combined in a fixed ratio. Compounds can be formed from chemical reactions between two or more pure elements, or they can exist naturally in nature. Compounds can be classified in different ways, such as organic or inorganic, covalent or ionic, and molecular or atomic. Compounds can also be defined as combinations of atoms that are held together by chemical bonds. These bonds can be strong or weak and can be formed through a variety of processes. Compounds can exist as solids, liquids, or gases, depending on their temperature and pressure. They can also be in different states such as crystalline, amorphous, or colloidal.
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FIGURE Q2.7 shows the position-versus-time graph for a movingobject. At which lettered point or points:a. Is the object moving the fastest?b. Is the object moving to the left?c. Is the object speeding up?d. Is the object turning around?
A distance-time graph is a graph that displays an object at various positions and times. This graph's slope provides the speed value. is shifting in such a way that the slope of the position-time graph varies at six separate places.
The steepest slope of the x-t graph is found at point C. The object is therefore travelling the fastest at point C.
Step 1 of Part B: Introduction
The velocity of the supplied item is a tangent to the position-time curve.
Step 2: Clarification
The slope of the curve at point F in the provided graph is negative. Which means that at F, the object is travelling in the opposite direction, or in the direction of the starting point, if we regard the positive x-axis to be positive.
Step 1 of Part C: Introduction
Whether an object is travelling to the right or to the left depends on the slope of the velocity curve with a positive x-axis.
Step 2: Clarification
The slope of the curve is increasing from point B or is moving in the direction of a positive value. The purpose is therefore accelerating up from point B.
Step 1 of Part D: Introduction
At point E, the positive x-axis is parallel to the tangent of the x-t curve.
Step 2: Clarification
At point E, the position-time curve's slope is zero. The slope turns negative from this point onward. From point E, the curve is turning around and moving in the opposite direction.
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complete the following statement: the term net force most accurately describes
The overall force acting on an object, taking into account all the individual forces that are affecting it. The net force is equal to the sum of all the forces acting on an object, and it determines the direction and magnitude of the object's motion.
The net force is also known as the resulting force and it is calculated by subtracting the forces that are in the opposite direction from the forces that are acting in the same direction. The net force is an important concept in physics and is used to describe the interactions between objects and the physical laws that govern motion. force of anything is the measure of the body to create a pressure to pull or push something from its position and we can do it. The net force is equal to the sum of all the forces acting on an object
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A charge q is located at the centre of a cube. The electric flux through any face is :
Answer: 4πq/ 6(4π∈₀)
What is the Electric Flux through the surface?
According to Gauss's theorem in electrostatics, the flow of electricity through a surface depends only on the amount of charge trapped on the surface. It does not depend on the size or shape of the surface. Therefore, the flow of electricity through the surface is the same for all figures.
Step 1: Charge enclosed in cube =q
Step 2: Apply Gauss Law
Electric flux passing through cube = Charge Enclosed / ∈ = q / ∈₀
A charge is placed at the centre, Therefore, due to symmetry, all six faces of the cube are equivalent, so the same flux will pass through each face.
∴ Flux through each face = Total flux through cube / 6
= q / 6∈₀ = 4πq/ 6(4π∈₀)
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A charge q is located at the centre of a cube. The electric flux through any face is 4πq/ 6(4π∈₀)
What is the Electric Flux through the surface?
According to Gauss's theorem in electrostatics, the flow of electricity through a surface depends only on the amount of charge trapped on the surface. It does not depend on the size or shape of the surface. Therefore, the flow of electricity through the surface is the same for all figures.
Step 1: Charge enclosed in cube =q
Step 2: Apply Gauss Law
Electric flux passing through cube = Charge Enclosed / ∈ = q / ∈₀
A charge is placed at the centre, Therefore, due to symmetry, all six faces of the cube are equivalent, so the same flux will pass through each face.
∴ Flux through each face = Total flux through cube / 6
= q / 6∈₀ = 4πq/ 6(4π∈₀)
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in a post-apocalyptic world, you must use these metal combs as gratings for gigahertz spectroscopy. the spacing of the comb teeth is 2 mm. if you direct ghz electromagnetic waves at the comb, what frequency (in ghz) is deflected by 10 degrees?
The frequency deflected by 10 degrees is approximately 3.85 MHz.
What is deflection?The deflection of 10 degrees by electromagnetic waves with a frequency of f (in GHz) at a metal comb with a tooth spacing of 2 mm can be described by the equation:
sin(10) = m * lambda = m * c / f
where m is the diffraction order, c is the speed of light (3 x 10^8 m/s), and lambda is the wavelength of the wave.
Solving for the frequency:
f = c / (m * lambda) = c / (m * c / f) = f / m
Since sin(10) = 0.173, we can find the diffraction order that gives us this value:
0.173 = m * 2 * 10^-3 / (3 * 10^8)
m = 2.6 * 10^5
Finally, the frequency that will be deflected by 10 degrees is:
f = f / m = 1 / (2.6 * 10^5) = 3.85 * 10^-6 GHz
So the frequency deflected by 10 degrees is approximately 3.85 MHz.
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seafloor topography can be mapped by satellite sensors that use: group of answer choices electromagnetic waves that pass through ocean water and bounce back to the satellite from the seafloor. extremely sensitive cameras that sense electromagnetic radiation being emitted by the seafloor. sound waves that pass through ocean water and bounce back to the satellite from the seafloor. electromagnetic waves that bounce back to the satellite from the sea surface.
Answer:wet wet
Explanation:
Use the drop-down menus to identify the labeled groundwater features.
Label A
Label B
Label C
Label An addresses an artesian well. Label B addresses spring and label C addresses a confined aquifer.
What is the distinction between the three waterways?
A Spring addresses the accumulation of water on the surface that has risen up out of the earth.
An artesian well happens when the water ascends from the earth to the surface naturally, in a sort of underground hallway.
A confined aquifer alludes to the accumulation of underground water trapped between two layers of earth.
Based on these definitions, we can distinguish what each of the labels displayed in the figure addresses. In addition, through the figure, seeing the working and the relationship between these three waterways is conceivable.
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Two zones contain groundwater. The first is the unsaturated zone, which is found immediately below the surface of the land and includes both air and water in open pores or voids.
An artesian well is represented by Label A. Label B denotes spring, while Label C denotes a restricted aquifer. What distinguishes the three bodies of water from one another? A spring symbolises the buildup of water that has surfaced after emerging from the subsoil. An artesian well is created when water naturally rises in the form of an underground passageway from the subsoil to the surface. The collection of underground water that is sandwiched between two layers of earth is referred to as a restricted aquifer. We can determine what each of the labels in the figure in the figure represent based on these definitions. Additionally, the interaction and operation of these three bodies of water can be understood by the diagram.
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A student observes a shadow move across the sun during a solar eclipse. Which list represents the position of earth, the sun, and the moon during this event?.
Answer: sun, moon, earth.
Explanation:
A speaker creates a tone at a frequency of 500.0 Hz. The speaker cone has a maximum displacement of 0.2 cm when turned on. The speed of sound in air is 343 m/s. Construct mathematical and graphical representations of the resulting wave as a function of time.
Answer:344
Explanation:
The mathematical representations of the resulting wave as a function of time is y(t) = Asin(2π ft + ϕ).
What is the resulting wave function?The resulting wave function is determined as follows;
y(t) = Asin(2π ft + ϕ)
Where;
y(t) is the displacement of the wave as a function of time, A is the amplitude (0.2 cm), f is the frequency (500.0 Hz), t is the timeϕ is the phase angle.To construct a graphical representation of the wave, we will plot a displacement versus time graph as shown in the image uploaded. The wave will repeat after 1/f seconds, which is the period of the wave.
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a student releases a ball from rest on an inclined plane and measures that it travels a distance of 0.5 m in a time of 2.0 s. the average speed of the ball is
The average speed of the ball is 0.25 m/s
Define speed.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
The displacement of a body over a predetermined amount of time is referred to as velocity. It has a scalar value. A vector quantity, that is.
Distance/Time = Speed.
A force has the power to alter an object's motion's direction. A greater force acting on an object will result in a greater change in motion. To undergo the same change in motion, a heavier object needs more force than a lighter thing.
S = Average speed
d = total distance
t = total time.
S = d/t.
d = 0.5m
t = 2.0s
S = 0.5/2
S = 0.25m/s
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SOLVE PLS EZ FOR POINTS
The substance with meting point of 240 °C and boiling point of 300 °C is hard plastics. Any volume of alcohol has an 78 °C. Candle wax have higher melting point than water.
What is boiling point ?Boiling point of a substance is the temperature at which the substance is converts from liquid state to vapor state at which the the vapor pressure equal to the atmospheric pressure.
It is clear from the table that, substance with meting point of 240 °C and boiling point of 300 °C is hard plastics. Boiling point of a substance does not change with change in volume.
Hence, any volume of alcohol has an 78 °C. Candle wax have higher melting point than water.
Oxygen and nitrogen can be differentiated based on their densities and mass.
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estimate the average gasoline consumption over the time interval [0,3]. the average consumption is enter your response here gallons per day.
Average gasoline consumption is 20,000 gallons per day.
Engineer-of-Record, Proctor Engineering Research & Consulting, Inc., Alachua, Florida. Gasoline engine, any of a class of internal-combustion engines that generate power by burning a volatile liquid fuel (gasoline or a gasoline mixture such as ethanol) with ignition initiated by an electric spark. this is the oil that is made after the processing of the crude oil and we can use it in our cars for travelling in them. it is very important fuel for us as it is used for burning. Gasoline or petrol is a derivative product of crude oil/petroleum. It is derived during fractional distillation process and has a translucent liquid form. It's not used in its crude form. Different additives are added like ethanol to use it as fuel for passenger vehicles.
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planetary winds and currents move in the same direction.
Planetary winds and currents have a significant impact on the Earth's climate and weather patterns. They are influenced by a variety of factors such as solar radiation, the rotation of the Earth, and temperature gradients.
Planetary winds and currents move in the same direction, assisting in the transport of heat and moisture around the world. For example, trade winds move from subtropical high-pressure zones to equatorial low-pressure zones, whereas prevailing westerlies move from west to east. Warm currents flow from the equator to the poles, and cold currents flow from the poles to the equator, as do ocean currents. The direction and strength of planetary winds and currents influence climate and weather patterns in various parts of the world.
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X + worksheet/questions?ald=25241606&wld 3215 MG Calculate Speed X What is the average speed of a car that travels 200 miles in 5 hours? miles per hour (just write the number) Type your answer in below.
Answer:
40 miles per hour
Explanation:
Average speed = distance ÷ time
= 200 ÷ 5
= 40
During a softball game, a shortstop catches a ground ball. The action force is the ball pushing on the glove. What is the reaction force? question 2 options: the ball pushing on the ground the glove pushing on the ball the ground pushing on the ball the fielder pushing on the ball.
The reaction force would be the exact opposite of the action. In this case, choice (c) would be the most correct. If the action is the ball pushing the glove, the reaction would then be the glove pushing back on the ball.
The reaction force to the action force of a ground ball pushing on a glove during a softball catch is the glove pushing back on the ball with equal and opposite force. This is Newton's Third Law of Motion in action.
The glove's pushback on a ball during a catch is the reaction force, equal and opposite to the ball's push, according to Newton's Third Law.
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A block of mass m is at rest on a rough incline, as shown in the figure above. Which of the following forces must have a magnitude equal to mg? Select 2 answers.
a. the total force exerted by the block on the incline
b. the normal force exerted on the block by the incline
c. the force of friction exerted on the block by the incline
d. the gravitational force exerted on earth by the block
The correct answers are:
a. The total force exerted by the block on the incline.
b. The normal force exerted on the block by the incline.
a. The total force exerted by the block on the incline must have a magnitude equal to mg. This force can be decomposed into two components: one parallel to the incline (friction force) and one perpendicular to the incline (normal force). The sum of these two components is equal to mg.
b. The normal force exerted on the block by the incline must have a magnitude equal to mg. The normal force is the force exerted perpendicular to the incline, and it balances the component of the weight of the block that acts perpendicular to the incline.
c. The force of friction exerted on the block by the incline does not necessarily have a magnitude equal to mg. The force of friction depends on the coefficient of friction between the block and the incline, as well as the other forces acting on the block.
d. The gravitational force exerted on Earth by the block is equal to the weight of the block, which is mg. However, this force is not relevant to the situation of the block on the incline.
Therefore, the correct options are a and b.
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Explain the process by which charge is transferred and provide evidence
The process of transferring charge from a charged body to earth is called earthing and the process involves the transfer of electrons that occurs when an electron relocates from an atom or molecule to a different such entity.
What is a Charge?This is referred to as the property of subatomic particles that causes it to experience a force when placed in an electric and magnetic field.
Earthing is a method and it is a process is carried out by connecting the neutral or non-current carrying part of the equipment to the ground or other substances and the evidence involves touching of a charged particle to a conductive material which leads to the charges being transferred from the charged material to the conductor such that particles with the same charge will repel.
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at which of the following locations is the electric field the strongest? a point 1 m from the surface of a charged spherical shell with a radius of 0.5 m and a charge of 1 c a point 0.1 m (perpendicular distance) from the center of a 10-m-long wire with 1 c of charge distributed on it a point 1 m from a 1-c point charge a point 0.1 m (perpendicular distance) from the center of a 10-m2 conducting plane with charge with 1 c of charge distributed on each side a point 1 m from the surface of a charged spherical with a radius of 1 m that has 1 c of charge distributed on it
A point 0.1 m (perpendicular distance) from the center of a 10 - m long wire with 1C of charge distributed on it. Thus, option 4 is correct.
What is charge?Subatomic particles with an electric charge will exert a force when they are in an electric or magnetic field, according to the definition of electric charge.
Protons and electrons are the most common charge carriers for the two types of electrical charges—positive and negative.
Subatomic particles or matter particles serve as examples of different types of charges:
The charge on a proton is positive.
Negative charge is a property of electrons.
Null charge exists in neutrons.
Option 4 has the the strongest electric field
[tex]$$for the long wire,$$\mathrm{E}=\frac{\lambda}{2 \pi \epsilon_{\mathrm{o}} \mathrm{r}}$$where,$$\lambda=\frac{\mathrm{Q}}{\mathrm{L}}=\frac{1}{10}=0.1 \frac{\mathrm{C}}{\mathrm{m}}$$so,$$\begin{aligned}\mathrm{E} & =\frac{0.1}{2 \pi \times 8.85 \mathrm{e}-12 \times 0.1} \\\mathrm{E} & =1.8 \times 10^{10} \ {\mathrm{N}}/{\mathrm{C}}\end{aligned}$$[/tex]
which is comparatively stronger than other cases.
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How mnemonic strategies could be used to improve memory?
Mnemonic strategies can be used to improve memory by improving the capacity of the brain to store information.
Why do mnemonics help us remember?
Mnemonics help us remember by using associations, images, and stories to link information together in a way that our brains can easily recall. This makes it easier to remember facts, numbers, or pieces of information that we would otherwise struggle to remember.
These strategies involve using techniques such as visual imagery, association, and organization to make it easier to recall information. For example, using visual imagery can help to create a mental image of the information or concept being remembered, which can help to recall it more easily. Associations can be made between new information and existing knowledge, which can also help to remember it better. Finally, organizing information into categories or hierarchies can make it easier to recall. These strategies can help to improve memory by making it easier to recall information and by improving the ability to remember information for longer periods of time.
Therefore, improving the capacity of the brain to store information is the answer.
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which technique uses parallel lines to suggest spatial volume?
The technique of using parallel lines to suggest spatial volume is known as linear perspective.
Linear perspective is a method used in art to create an illusion of depth and space on a flat surface, such as a canvas or a piece of paper. The technique uses parallel lines to suggest spatial volume and make the depicted objects appear to recede into the distance. This creates the illusion of a three-dimensional space on a two-dimensional surface.
The basic idea behind linear perspective is that as objects in a scene move further away from the observer, they appear to get smaller. This phenomenon is due to the fact that the lines of sight from the observer to the objects are converging, creating the illusion of depth.
In linear perspective, the artist draws a set of parallel lines that converge at a single vanishing point. The position of the vanishing point determines the direction in which the depicted space is receding. The artist then uses these lines as a guide to draw objects in the scene, making sure that the edges of each object are parallel to the lines and converge at the vanishing point.
Linear perspective was first used in the Renaissance period and has since become a staple of Western art. It is a crucial component of many forms of representational art, including painting, drawing, and printmaking. It continues to be used in contemporary art, as well as in design, architecture, and film-making.
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An elevator does 15,000 jolts of work while exerting a force of 10,000 N to take people to the top floor of a building what distance does the elevator travel
The elevator travels a distance of 1.5 meters
The distance traveled by elevator can be calculated by the simple work equation:
W = F × d
∴, d = W ÷ F
where W is the work done, F is the force exerted and d is the distance traveled.
Now we have work and force as the elevator does 15,000 J of work and exerts a force of 10,000 N
∴, d = 15,000 J ÷ 10,000 N
d = 1.5 meters
So the elevator travels a distance of 1.5 meters while taking people to the top floor of a building.
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Two charges, Q1 = 10 nC and Q2 = -9.0 nC, are 15 cm apart. Find the strength of the electric field halfway between the two charges. Express your answer with the appropriate units. μΑ ?
The electric field strength halfway between the two charges is 2.02 * 10^7 N/C.
What is an electric field?
Electric field is a field that surrounds charged particles and represents the force per unit charge that a particle would experience in that field. It is defined as the force experienced by a test charge placed in the field, divided by the magnitude of that test charge. Mathematically, it can be represented as a vector quantity with units of newtons per coulomb (N/C).
The electric field strength halfway between two point charges is given by:
E = k * (Q1 - Q2) / d^2
where k = 1/(4 * pi * epsilon_0), d is the separation distance and epsilon_0 is the vacuum permittivity.
Plugging in the given values:
d = 15 cm = 0.15 m
Q1 = 10 nC = 10 * 10^-9 C
Q2 = -9 nC = -9 * 10^-9 C
k = 8.99 * 10^9 N m^2/C^2
E = k * (Q1 - Q2) / d^2 = 8.99 * 10^9 * (10 * 10^-9 + 9 * 10^-9) / 0.15^2
E = 2.02 * 10^7 N/C
So the electric field strength halfway between the two charges is 2.02 * 10^7 N/C.
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