Gauss law states that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.
Mathematically,
Φ=Q ϵo
Where;
Q is enclosed charge
ϵo is the permittivity of the free space
If the charge is moved to another location inside the same cube, the flux in the electric field remains the same. This is because as long as the charge remains within the plane of the electric field, the flux is calculated in all directions and thus the flux remains unchanged. It only changes when the charge is moved outside the cube.
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When the speaker is lowered into water, does the frequency of the sound increase, decrease, or remain the same?.
Answer: it remains the same
Explanation:
the frequency of a sound wave cannot change as it crosses the water-air boundary
You throw a dart horizontally towards the center of a dartboard. The dart reaches the board below the center with a velocity of 1.2 E 1 m/s at an angle of 355o.
a. Determine the distance below the center of the board where the dart hits.
The distance below the center of the board where the dart hits is 0.00056 m.
Distance below the center of the board reached by the dart
The distance below the center of the board reached by the dart is calculated as follows;
v² = u² + 2gh
where;
v is the final vertical velocity of the dartu is the initial vertical velocity of the darth is the distance below the center of the board reached by the dartThe initial vertical velocity of the dart = 0
v² = 0² + 2gh
v² = 2gh
h = v² /2g
h = (v sinθ)²/2g
where;
θ is the angle of projectionh = (1.2 x sin355)²/(2 x 9.8)
h = 0.00056 m
Thus, the distance below the center of the board where the dart hits is 0.00056 m.
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PLEASE HELP HURRY a penny dropped out a window reaches a speed of 35 m/s. how far did it fall? initial velocity is 0 m/s and gravity is 9.8 m/s
Answer:
use v²=u²+2as
v=35
u=0
a=9.8
35²=0²+2*9.8s
1225/2=9.8s
s = 62.5m
answer=62.5m
Answer:
The height from which the coin fell:
H = 63 m
Explanation:
Given:
V₀ = 0 m/s
V = 35 m/s
g = 9.8 m/c²
___________
H - ?
The height from which the coin fell is calculated by the formula:
H = (V² - V₀²) / (2·g)
H = (35² - 0²) / (2·9.8) ≈ 63 m
what does it mean by the term self demagnetization.
Answer:
Self demagnetization means when magnets' poles are free (suspended) for too long, their magnetic attraction becomes weaker and thus, self demagnetizes.
A car slows down from +32 m/s to +8 m/s in 4s. Calculate the acceleration
If a car slows down from +32 meters / seconds to +8 meters / seconds in 4 seconds, then the acceleration of the car would be -6 meters / second².
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
We can calculate the acceleration of the car by using the first equation of motion,
v = u +at
8= 32 + a×4
a =8-32 / 4
a = -6 meters / second²
Thus, the acceleration of the car would be -6 meters / second².
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If the position of an object is zero, does its speed have to be
zero? Expain
No, the speed does not depend on position, it depends on the change of position.
An item can start at x = -3 and be moving by the time it reaches x = 0 since we know that the displacement is independent of the coordinate system's origin.
Speed is characterized as the rate at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Speed is defined as s = distance/time.
There are four different forms of speed.
constant speed
varying speed
typical speed
Instantaneous speed
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WHAT IS NUCLEAR FISSION
PLEASE ANSWER QUICK
a piano is a stringed instrument in which felt hammers are made to strike the strings by an arrangement of keys and levers.
Answer:
Analytical
Explanation:
In his experiments on "cathode rays" during which he discovered the electron, J. J. Thomson showed that the same beam deflections resulted with tubes having cathodes made of different materials and containing various gases before evacuation.(c) Do calculations to show that the charge-to-mass ratio Thomson obtained was huge compared with that of any macroscopic object or of any ionized atom or molecule. How can one make sense of this comparison?
The charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.
What is a cathode ray?The electron beam that travels from the negatively charged cathode to the positively charged anode at the opposite end of the vacuum tube is known as a cathode ray.
As the electron, J. J. Thomson showed that the same beam deflections resulted in tubes having cathodes made of different materials and containing various gases before evacuation.
The elect's load = 1.6x10⁻¹⁹ C
The mass = 9.1x10⁻³¹ kg
e/m = 1.6x10⁻¹⁹/ 9.1x10⁻³¹ = 0.1 758 10 10¹² N
The homogenize has an electron of charge of 1.6x10⁻¹⁹ C
The mass M = 1.673x10⁻²⁷ ka
e/M = 1.6x10⁻¹⁹/1.67x10⁻²⁷ = 0.96x10⁸ N
In the second case, it is 4 times less
Thus, the charge-to-mass ratio in the second case is 4 times less because of e/M = 0.96x10⁸ N.
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if , determine the angles θ and ϕ so that the resultant force is directed along the positive x axis and has a magnitude of .
The angle θ is 36.3° and the angle ϕ is 26.4°.
A vector quantity is a quantity having both magnitude and direction.
To add vector quantities and get their resultants, we need to apply the parallelogram law of vector addition
Let A and B are two vectors and C is their resultant, then according to the parallelogram law
C^2 = A^2 + B^2 + 2ABcosθ, where θ is the angle between the two vectors
On applying the parallelogram law in the given diagram,
(40)^2 = 30^2 + 60^2 - 2(30)(60)cosθ
Θ = 36.3°
And
30^2 = 40^2 + 60^2 - 2(40)(60)cosϕ
Φ = 26.4°
Thus, the angle θ is 36.3° and the angle ϕ is 26.4°.
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Why increasing the resistance in a series circuit decreases the current in the circuit?
Answer:
Explanation:
In a series curcuit Current is divided across the resistors meaning the more you add resistors the more current is taken. The formula I= V/R also makes it easier to understand. The resistance is in the denominator. The more you increase it the more the current decreases.
Keep in mind Adding more resistors in a series curcuit reduc current.
The speed of light in water is 230Mm/s. Suppose an electron is moving through water at 250 Mm/s . Does that violate the principle of relativity? Explain.
It does not violate the principle of relativity because the speed of the electron in water can explained as its relative speed with water.
What is principle of relativity?
The principle of relativity states that there is no physical way to differentiate between a body moving at a constant speed and an immobile body.
If the speed of light in water is 230Mm/s and an electron is moving through water at 250 Mm/s, it does not violate the principle of relativity because the speed of the electron in water can explained as its relative speed with water.
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An airplane mechanic notices that the sound from a twin-engine aircraft rapidly varies in loudness when both engines are running. What could be causing this variation from loud to soft?
Hence , the rise and fall of the amplitude of the sound causes the variation from loud to soft .
Principle of Superposition - The resultant displacement of 2 or additional waves traveling at the same time in an exceedingly medium while not moving the motion of 1 another is capable the resultant of the displacement created by the 2 or additional waves singly.The variation from loud to soft sound created by a twin-engine craft may be explained by the idea of formation of beats.
When 2 sound waves of nearly equal frequencies square measure created at the same time, then the intensity of the resultant sound created by their superposition will increase and reduces as an alternative with time. This increase and reduce within the intensity of sound square measure referred to as the development of beats.
Let us suppose that at a specific time the 2 waves of slightly totally different frequencies square measure in section, i.e. the crest of the primary wave falls on the crest of the second wave, thus at this point the resultant amplitude is most, therefore we tend to hear a louder sound. however since there's a small variation in frequencies there comes a time once the 2 waves square measure out of section, I.e. the crest of 1 wave falls on the trough of the opposite, here the resultant amplitude becomes zero and that we hear no sound. This rise and fall of amplitude continue and what we tend to hear could be a beat. Similar is that the case in an exceedingly twin-engine craft which ends within the variation of loud and soft sound.
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Why is the primary mirror in a telescope curved?
Answer:
The primary mirror in a telescope is curved so that it changes the path of the light hitting its surface.
Explanation:
Brainliest please
Answer:
the primary mirror in a telescope is curved because it changes the path of the light hitting its surface.
Read the following scenario about Greg's adventure to the symphony. Greg hasn't learned any concert etiquette.
What are the SIX mistakes that Greg makes according to Concert Etiquette 101?
What is the ONE thing that Greg does correctly (even though by accident) according to Concert Etiquette 101?
A man wearing a ball cap, who has a cold, attends a concert (let's call him Greg). After the concert begins, Greg walks through the door and takes a seat in the middle of the second row without saying a word. He frantically opens his program to find out what he has missed so far. Due to his cold, he also opens a cough drop for his cough. After the first piece (that he has heard since he arrived to the concert), he begins to clap and whistle - only to find out that nobody else is clapping with him. At the intermission, he finds a vending machine and buys a candy bar for the second half of the concert. After the concert, Greg remembers that he dropped the candy bar wrapper between the seats, and lifts his seat up to get the wrapper (at least he can put it in a trash can when he finds one - his mom always told him not to litter!).
Answer:Never stand or move around while music is being performed.
Explanation:
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.
When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called diffraction.
The term 'diffraction' was coined by an Italian scientist named Francesco Grimaldi Maria in 1660 when she first recorded accurate observations of this phenomenon. Diffraction is a wave phenomenon that describes the bending of waves when it encounters an obstacle or a slit. It is more pronounced when the obstacle or slit the wave encounters is in comparable size to its wavelength.
Diffraction occurs in all waves, including light, water waves, sound waves, electromagnetic waves like X-rays and even gravitational waves. In recent years, it has been observed that matter also demonstrates this wave-like property, but only at the atomic and subatomic level.
Diffraction can be observed in everyday life. The rainbow pattern seen on CDs and DVDs is as a result of diffraction of light. It can also be observed in ocean waves as they diffract around rocks, jetties and other obstacles.
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Match The Following:
1.Aristotle a. They believed the Earth to be flat
2.Kepler b. Thought that the Earth did not move
3.Egyptians c. How the planets move around the Sun
4.Ellipse d. Suggested the modern model of the Solar System
Answer:
1. A
2. D
3. B
4. C
Explanation:
1. A- Aristotle thought that the Earth was flat and that anyone who sailed off the edge of the ocean would fall of Earth, this theory of course later got disproved by Kepler and other scientists
2. D- Kepler suggested the modern model of the Solar System because after months and months of looking out the telescope and making models of the Solar System, Kepler finally made the conclusion of the official Solar System.
3. B- Egyptians thought did not move and all the planets, including the sun revolved around it. Later, Kepler disproved this theory with the modern Solar System.
4. C- This is the path that planets follow to revolve around the Sun. People first thought that planets moved in a circular motion but actually they moved in a ellipse because the Sun's gravity pulled planets closer at some parts more than others.
A cubical surface surrounds a point charge q. Describe what happens to the total flux through the surface if (b) the volume of the cube is doubled
The net electric flux is not dependent on the volume of the cube and hence no change to the electric flux.
According to Gauss law, which states that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.
Φ=Q ϵo
Where;
Q is enclosed charge
ϵo is the permittivity of the free space
According to the above gaussian relation, If the volume of the cube is doubled, then flux will neither be doubled or changed. It remains the same. This is because there is no direct relationship between the total flux and volume of the cube in the electric field. This means that there is no change to the electric flux.
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35km/h expressed in meters per second
35 kilometers per hour is equivalent to 9.73 metres per seconds.
How to convert km/h to m/s?Speed is the rate of distance that is traversed in a given time. It can be calculated by dividing the distance moved by the time taken as follows:
Speed = distance/time
Speed can be measured in the following units;
Kilometers per hourMetres per secondsThe conversion factor of kilometers per hour to metres per seconds is as follows:
1 kilometre per hour = 0.278 metre per second
35 kilometers per hour = 9.73 metres per seconds
Therefore, 35 kilometers per hour is equivalent to 9.73 metres per seconds.
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Two identical clocks are in the same house, one upstairs in a bedroom and the other downstairs in the kitchen. Which clock runs slower? Explain.
The clock in the kitchen downstairs is slower than the clock in the bedroom upstairs
What is relativity?A major idea that we could glean from relativity is that there are no absolutes in the universe. Everything in the universe depends on which frame of reference we are. Observations may differ depending on the frame of reference of the observer.
In the theory of Einstein, relativity comes in handy to clarify the distortion that is caused in time and space owing to matter in the universe as the basis for gravity.
We know that from the theory of relativity, the clock that is under the influence of a greater gravitational field would be slower. As such, the clock in the kitchen downstairs is slower than the clock in the bedroom upstairs because the clock in the kitchen downstairs is subjected to a greater gravitational field.
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What function does large volumes of moving water have in generating electricity
Impoundment or dams are used to collect the water to enhance the amount of running water. Gravity is used to direct water down a pen stock pipe from a hole in the dam. The turbine is spun by the flowing water, and this rotation of the magnets inside the generator produces power.
What is Hydroelectric Energy?Hydroelectric energy, also known as hydroelectric power or hydroelectricity, is a type of energy that uses the force of moving water to produce electricity, such as water running down a waterfall. This force has been utilized by people for ages. Greeks have been grinding wheat into flour for over 2,000 years by using flowing water to turn their mill's wheel.
The majority of hydroelectric power plants feature a water reservoir, a gate or valve to regulate the amount of water that flows out of the reservoir, and an outlet or location where the water ends up after flowing downstream. Just before water rushes over the top of a dam or cascades down a hill, it gains potential energy. Water flowing downhill changes potential energy into kinetic energy. When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.
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Marta gives long, involved answers to every question, even simple ones. She uses technical vocabulary even if the people she is talking to do not understand it. What is the BEST advice Marta’s supervisor could give her?
A.
Use technology to your team’s advantage.
B.
Manage information, not people.
C.
Make sure your networks are strong.
D.
Adapt your communication style.
The best advice Marta’s supervisor could give her regarding the long answers she is giving is to adapt her communication style (option D).
What is communication?Communication is the concept or state of exchanging data or information between entities.
A communication is said to be effective when the information passed across is perfectly understood by the recipient.
According to this question, Marta gives long and involved answers to every question, even simple ones. She also uses technical vocabulary even if the people she is talking to do not understand it.
This means that the best advice Marta’s supervisor could give her regarding the long answers she is giving, so as to communicate effectively, is to adapt her communication style.
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meaning of extraction
Answer:
the action of taking out something, especially using effort or force.
Explanation:
1) In a standard lab, students drop blocks on moving carts. A cart with a mass of 3.4 kg is moving with a velocity of 23.9 m/s. A block with a mass of 2 kg is dropped onto the moving cart. What is the velocity of the cart after the block is dropped?
A. 3.4 m/s
B. 5.4 m/s
C.15.1 m/s
D. 23.9 m/s
2) Suppose that the vertical forces on a box are balanced, but the horizontal forces are not. There is a force due west of 50 N, and a force due east of 75 N. The weight of the box is 196 N. What is the net force and the acceleration?
A. The net force is 125 N and the acceleration is 1.25 m/s/s due east.
B. The net force is 25 N and the acceleration is 500 m/sec/sec due east.
C. The net force is 25 N and the acceleration is 1.25 m/s/s due east.
D.
The net force is 3750 N and the acceleration is 500 m/sec/sec due east.
3)
A car traveling with an initial speed of 25 m/s decelerates at −5 m/s2 to a complete stop. What best approximates the distance the car travels during its deceleration?
A. 25 m
B. 63 m
C. 125 m
D. 113 m
4) A 2000-kilogram car at rest at point A accelerates at a constant rate from point A to point B in 5.0 seconds, attaining a maximum speed of 30 meters per second at point B. What is the kinetic energy of the car at point B?
A. 60000 J
B. 590000 J
C. 900000 J
D. 1800000 J
5) Which of the following situations has the greatest momentum?
A. a car that accelerates from rest to 3.0 m/s
B. a rocket that crashes back to Earth with a force of 50.0 N for 0.3 m/s
C. a boxer that hits a punching bag with a net force of 30.0 N for 0.5 s
D. a baseball hit with a net force of 10.0 N for 3.0 s
6) Two objects are moved apart so that they are separated by three times their original distance of separation. Compared to the magnitude of the original gravitational force between them, the magnitude of the new gravitational force is which of the following?
A. one-ninth the amount
B. one-third the amount
C. three times the amount
D. nine times the amount
7) Carter and Sam want to find out about the motion of cars traveling on a stretch of highway. They measure out a segment on the highway and measure the time it takes for a car to pass along that segment. Using this data, which of the following pieces of data are they collecting?
A. Average acceleration
B. Instantaneous speed
C. Average speed
D. Instantaneous acceleration
8) Tommy wants to explore how the rate of change in the speed of a marble rolling down changes at different angles. Which of the following formulas should Tommy use to compare each trial in the experiment?
A. Distance traveled/time
B. Change in velocity/change in time
C. Distance traveled in a direction/time
D. Change in displacement/time
Please Explain
The correct responses are;
1) The velocity is 15.0 m/s
2) The net force is 25 N and the acceleration is 1.25 m/s/s due east.
3) The distance covered is 63 m
4) The kinetic energy is 900000 J.
5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s
6) The force is now is one-ninth of the original amount.
7) The data that Carter and Sam want to find out is the Instantaneous speed
8) The appropriate formula is change in velocity/change in time
What is the momentum?The term momentum has to do with the product of the mass and the velocity of a body.
1) We know from the principle of the conservation of momentum that the momentum before collision is the equal to the magnitude of the momentum after Collison in a closed system thus;
3.4 * 23.9 m/s = (3.4 + 2) v
v = 3.4 * 23.9 m/s / (3.4 + 2)
v = 15.0 m/s
2) Mass of the box = 196/9.8 = 20 Kg
The net force that acts on the box = 75 N - 50 N = 25 N
Acceleration = 25 N/ 20 Kg
= 1.25 m/s/s due east.
Thus, the net force is 25 N and the acceleration is 1.25 m/s/s due east.
3) v^2 = u^2 - 2as
v = 0 m/s
u^2 = 2as
s = u^2/2a
s = (25 m/s )^2/ 2 * 5 m/s2
s = 63 m
The distance covered is 63 m
4) Kinetic energy = 1/2 mv^2 = 0.5 * 2000 * (30)^2
= 900000 J
The kinetic energy is 900000 J.
5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s
6) The new magnitude of the force between them is one-ninth of the original amount.
7) The data that Carter and Sam want to find out is the Instantaneous speed
8) The formula that should be used is change in velocity/change in time.
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23. Formulating Hypotheses Suppose you want
to know if objects with different masses fall to
the ground at different rates. State a hypothesis
about falling objects.
-I NEED HELP PLEASE!!! ASAP
The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
Thus, A reasonable explanation for an observation is a hypothesis. Every experiment begins with the formulation of a hypothesis. The experiment would now either support or refute the theory that has been proposed.
Remember that an experiment requires both an independent and a dependent variable. The dependent variable is the one that changes when the independent variable changes, but the independent variable is the one that we must keep manipulating.
In this situation, "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
Thus, The possible hypothesis "different masses of objects fall to the ground at different rates" is a tenable hypothesis.
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suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?
The signal will travel into the space as far as 3.654 x 10^11 meters.
What is Speed ?Speed is the distance travel by a body per time taken. Speed is a scalar quantity.
Suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?
Speed V = 3.0 x 10^8 m/sTime t = 20.3 min x 60 = 1218 sDistance s = ?Speed V = distance / time
3 x 10^8 = s / 1218
s = 3 x 10^8 x 1218
s = 3.654 x 10^11 m
Therefore, the signal will travel into the space as far as 3.654 x 10^11 meters.
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Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (a) the force on each
The force on each balloon is 2×10^−3 N.
Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.
[tex]\sum F_{y} = Tcos10\textdegree - mg = 0\\\\T = \frac{mg}{cos10\textdegree } \\\\\sum F_{y} = Tsin10\textdegree - mg = 0\\[/tex]
So,
[tex]F_{e} = \frac{mg}{cos10\textdegree }sin10\textdegree = mgtan10\textdegree \\\\= (0.00100kg)(9.8m/s^{2})tan10\textdegree \\\\F_{e} = 2 \times 10^{-3}N[/tex]
A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N).
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in a car moving at constant acceleration, you travel 230 mm between the instants at which the speedometer reads 40 km/hkm/h and 80 km/hkm/h .
The acceleration of the car is 0.8049[tex]m/s^{2}[/tex].It takes 13.802s to travel the 230 m.
What is acceleration?
In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it. Newton's Second Law states that the combined effect of two factors determines how much an item accelerates:
(i) It follows that the magnitude of the net balance of all external forces acting on the object is directly proportional to the magnitude of this net resulting force, and
(ii) the mass of the thing, depending on the materials out of which it is constructed, is inversely proportional to the mass of the thing.
Calculations:
40 km/hr ----- 11.11m/s
80 km/hr ----- 22.22m/s
[tex]v^{2} -u^{2} =2as\\22.22^{2} - 11.11^{2} = 2 x a x 230\\ 370.296=460a\\ a= 0.8049m/s^{2} \\[/tex]
Time taken
v-u=at
22.22-11.11= 0.8049 x t
t=13.802s
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What happens to the period when we change the​ amplitude​ (drop point) of the pendulum? question 2 options: the period does not change when we change the amplitude of the pendulum the period increases when we change the amplitude of the pendulum the period decreases when we change the amplitude of the pendulum
When we change the amplitude of the pendulum, the period does not change when we change the amplitude of the pendulum.
What is a pendulum?A pendulum is device that could be used to show oscillatory motion. The motion of the pendulum is that of an object that is tossed from one side to another. Typically, the simple pendulum is used in most school labs to show a motion that is regular and repeating.
Now we know that the amplitude refers to the point of highest displacement of the pendulum. The point of the highest displacement would depend on the angle at which the pendulum was displaced. The period has to do with the time that it takes for a particular pendulum to complete a full cycle.
We know that the period of the pendulum does not have an effect on the amplitude of the pendulum. It then follows that; When we change the amplitude of the pendulum, the period does not change when we change the amplitude of the pendulum.
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what is the magnitude of the electric field along the positive z axis? use k in your answer, where k
The magnitude of the electric field along the positive z axis due to the ring is equal to Ez = kqz/√(z² + a²)^{3/2}.
Given the following data:
Radius of ring = a.
Charge of ring = q.
Coulomb's constant, k = = 1/4πε₀.
What is an electric field?An electric field can be defined as a region in which charged particles are placed with force being applied on the particle as a result of the field.
How to determine the magnitude of the electric field?In order to determine the magnitude of the electric field along the positive z axis, we would apply Coulomb's law in order to find the electric field due to a point charge:
[tex]E = k\frac{q}{r^2}[/tex]
Where:
q represent the charge.r is the distance between two charges.k is Coulomb's constant.Note: The value of r is equal to √(z² + a²) and cosθ is equal to z/√(z² + a²).
Substituting the value of r into Coulomb's law, we have;
[tex]E = k\frac{q}{(\sqrt{z^2 + a^2}) ^2}[/tex]
Along the z-direction, the electric field is given by:
dz = dEcosθ
Integrating, we have:
∫dz = ∫dEcosθ
Ez = Ecosθ
[tex]E_z = (\frac{kq}{(\sqrt{z^2 + a^2}) ^2})\frac{z}{\sqrt{z^2 + a^2}} \\\\E_z = \frac{kqz}{(\sqrt{z^2 + a^2}) ^\frac{3}{2} }[/tex]
Ez = kqz/√(z² + a²)^{3/2}.
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Complete Question:
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the magnitude of the electric field along the positive z axis due to the ring? Use k in your answer, where k = 1/4πε₀