Move perfect mirror to the right by 86.2 nm to produce minimum power at detector and minimum power is 0.225 mW.
To create an interferometer using a 50-50 beam splitter and two mirrors, we can split a laser beam into two paths using the beam splitter, bounce one path off a perfect mirror, and the other off a mirror that does not reflect all light.
In this setup, interference between the two paths of the laser light can produce a pattern of constructive and destructive interference, which can be detected at a detector.
If the detected power is initially at its maximum, we can move the perfect mirror to the right to produce a minimum power at the detector. This is because moving the mirror changes the path length difference between the two paths of the laser light, and this can change the interference pattern.
To determine how much we need to move the perfect mirror, we can use the fact that the detected power is maximum when the two paths of the laser light are in phase, and minimum when they are out of phase. When only the vertical arm is blocked, the power measured at the detector is 2.25 mw, and when only the horizontal arm is blocked, the power measured at the detector is 2.025 mw.
The power detected at the detector is given by:
P = [tex](1/2) * P_in * (1 +- cos(Δφ))[/tex]
where[tex]P_in[/tex] is the incident power, Δφ is the phase difference between the two paths of the laser light, and the ± sign depends on which path is blocked.
When the power is maximum, the phase difference is an integer multiple of 2π, i.e., Δφ = [tex]2\pi n[/tex]. When the power is minimum, the phase difference is an odd multiple of π, i.e., Δφ = [tex](2n+1)\pi /2.[/tex]
We can solve for the phase difference in terms of the incident power and the measured powers:
Δφ = [tex]arccos[(4P_min/P_in) - 1][/tex]
where [tex]P_min[/tex] is the minimum power detected at the detector, which is 2.025 mw.
Plugging in the values, we get:
Δφ = [tex]arccos[(4*2.025/9) - 1] = 2.18 radians[/tex]
To produce a minimum power at the detector, we need to change the phase difference to [tex](2n+1)\pi /2[/tex]. This means we need to move the perfect mirror by a distance Δx such that:
Δφ = [tex](2n+1)\pi /2 = 1.57, 4.71, 7.85, ...[/tex]
We can use the wavelength of the laser to determine the distance Δx:
Δx = Δφ * λ / [tex]2\pi[/tex]
lambda: wavelength of laser = 300 nm
Put values:
Δx = 86.2 nm
So we need to move the perfect mirror to the right by 86.2 nm to produce a minimum power at the detector, and the minimum power at the detector is 0.225 mW.
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An aluminum wing on a passenger jet is
25 m
long when its temperature is
19°C. At what temperature would the wing be 3 cm (0. 03 m) shorter?
The temperature at which the wing is 3 cm shorter than its initial length is 19°C - 54°C = -35°C.
Is 37 degrees Fahrenheit hot or cold?A normal temperature is between 36 and 37 degrees Celsius, though this varies depending on your age, what you've been doing, the time of day, and the method used to take the reading. Colds, the flu, and COVID-19 are examples of viral respiratory illnesses that can raise a person's temperature.
The thermal expansion coefficient of aluminum is approximately 22.2 × 10⁻⁶ per degree Celsius (or 22.2 × 10⁻⁶/°C).
The change in length of the wing, ΔL, is given by:
ΔL = α L ΔT
We know that the original length of the wing is 25 m, and the change in length is 3 cm, which is 0.03 m.
So, we have:
0.03 m = (22.2 × 10⁻⁶/°C) × (25 m) × ΔT
Solving for ΔT, we get:
ΔT = 0.03 m / ((22.2 × 10⁻⁶/°C) × (25 m))
ΔT ≈ 54°C
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i ned help quick pleaseeee
The presidential elections in America take place every four years and Americans decide who will be the President for the next four years.
What is the procedure of elections in America?Every four years on Election Day, American citizens vote for a new president.
During the primary election, people in each political party (e.g. Democrat and Republican) vote for a candidate to represent their party. The candidates who win the primary election for their political party go on to the general election.
During the general election, there is a popular vote and an Electoral College vote. First, the citizens vote for who they want to be president in the popular vote. Then, during the Electoral College vote, the electors vote for the president based on who won the popular vote.
The popular vote is "one person, one vote" whereas the Electoral College vote is "winner takes all." That means, if a candidate wins the majority of votes in the popular vote, that candidate wins the Electoral College votes.
If no candidate wins the majority of the electoral votes, the House of Representatives chooses the president.
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should senior citizens perform balance exercises?
A. to build muscle tissue
B. to reduce chances of falls
C. to build overall endurance
D. to reduce "staying power"
Please select the best answer from the choices provided.
Senior citizens should perform balance exercises because it reduces the chances of falls, hence option B is correct.
Why balance exercises are important for senior citizens?The ability to maintain balance, however, deteriorates with age, and poor balance is a key contributor to falls in older persons.
A fall can cause serious injuries, including fractures, which can lead to chronic pain, reduced quality of life, disability, or even death.
Seniors' mobility will significantly improve if their exercise regimen is increased.
Therefore, being solid and steady can improve your general confidence, ease various health concerns, and lessen your danger of falling.
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s the nitrogen in thermodynamic equilibrium with respect to vibrational energy? what is the vibrational temperature of the gas? is this value necessarily the same as the translational temperature? why or why not?
In thermodynamic equilibrium, the different forms of energy in a system, including vibrational energy, must be in balance. Therefore, if nitrogen is in thermodynamic equilibrium, its vibrational energy will be in balance with its other forms of energy.
The vibrational temperature of a gas is related to the average vibrational energy of its molecules. In the case of nitrogen, which is a diatomic gas, its molecules have multiple modes of vibration, including stretching and bending vibrations. The vibrational temperature of nitrogen can be calculated from the Boltzmann distribution, which relates the temperature of the gas to the relative populations of its energy states.
The vibrational temperature of nitrogen at room temperature is around 335 K. This is significantly higher than its translational temperature, which is around 300 K. The reason for this is that the vibrational energy of nitrogen molecules is not the same as their translational energy. While translational energy is associated with the motion of the molecule as a whole, vibrational energy is associated with the internal motion of the atoms within the molecule.
The vibrational temperature of a gas is not necessarily the same as its translational temperature, because the two forms of energy are not directly related. In a gas that is not in thermal equilibrium, the vibrational and translational temperatures can be different. However, in a gas that is in thermodynamic equilibrium, the different forms of energy will be in balance, and the vibrational temperature will be related to the translational temperature through the equipartition theorem.
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if speed of particle triples by what factor does it kinetic energy increase
If speed of particle triples, the kinetic energy will be times six (6).
What is the relationship between kinetic energy and speed?Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity.
This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.
Therefore, an object with triple speed will have times six kinetic energy.
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why do we need to follow the suggested activities given in the philippines physical activity guided (PPAP)
The PPAG recommends a variety of physical activities, such as aerobic exercises, muscle-strengthening exercises, and flexibility exercises. It also includes recommendations for the frequency, intensity, and duration of physical activity for various age groups and skill levels.
Individuals can ensure that they are getting the right amount and type of physical activity for their health and well-being by following these guidelines.
The Philippines Physical Activity Guidelines (PPAG) provide evidence-based physical activity recommendations to improve health and well-being. Following the PPAG's suggested activities can provide numerous benefits, including:
Improving overall health: Physical activity is linked to a lower risk of chronic diseases like heart disease, stroke, diabetes, and certain types of cancer. It can also aid in the management of chronic conditions like high blood pressure, high cholesterol, and obesity.
Physical activity has been shown to reduce symptoms of depression and anxiety, as well as improve overall mood and emotional well-being.
Improving physical function: Regular physical activity can help improve strength, flexibility, balance, and coordination, lowering the risk of falls and improving overall physical function.
Physical activity is an important component of a healthy weight management plan because it helps burn calories and maintain muscle mass.
Increasing social connections: Physical activities can provide opportunities to connect with others and build social support networks.
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EXPERIMENT: POLAR PROPERTIES
Perform the directions and Answer the following questions ….
These supplies are needed:
acetate (overhead transparency material) strip and tissue paper
vinyl strip and woolen cloth
slow, steady stream of water from a faucet
Follow these directions and answer these questions.
1. Rub the acetate strip with the tissue paper.
2. Bring the strip near a slow stream of running water.
What happened when the strip was brought near the stream?
From your ideas about charges on acetate and vinyl strips, predict what will happen if a charged vinyl strip is brought near the slow stream of water. (Review Unit 4.)
3. Test your hypothesis. Rub a vinyl strip with a woolen cloth.
4. Bring the charged strip near a slow stream of water.
HELP ASAP I NEED LEGIT ANSWERS:)
Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.
What is Charge?The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10⁻¹⁹ Coulombs.
Rubbing the acetate strip with tissue paper transfers electrons from the tissue paper to the strip, giving the strip a negative charge.
When the negatively charged acetate strip is brought near a slow stream of running water, the water is attracted to the strip and bends towards it. This is because the water is polar, meaning it has a positive end and a negative end, and the negative end is attracted to the negatively charged acetate strip.
Predicted: When a charged vinyl strip is brought near the slow stream of water, the water should be attracted to the strip and bend towards it. This is because the vinyl strip is typically charged positively when rubbed with woolen cloth, so it will attract the negative end of the polar water molecules.
Rubbing the vinyl strip with a woolen cloth transfers electrons from the woolen cloth to the strip, giving it a positive charge. When the positively charged vinyl strip is brought near the slow stream of water, the water is indeed attracted to the strip and bends towards it, just as predicted.
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Can someone help me with this ?
The first image shows a speed - time relation in which the speed is zero and the the object is not moving. The second graph shows a constant velocity and the third one shows an increasing velocity with time.
What is speed - time graph ?A speed - time graph represents the change in speed of an object with respect to the time. The speed can be increasing with time or decreasing. Speed of an object is dependent on the path through which it is moving and the mass, frictional force etc.
Here, the first image shows no no values for the y - axis and and thus, the image is not moving. The second graph shows a parallel line which is showing there is no change in speed with the time. This indicates that the object is moving with a constant speed.
The graph C plots an increasing speed with respect to time. The straight line diagonal to the x, y axis indicates the increasing speed.
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how to calculate direction by looking at a diagram?
Answer:
To calculate the direction of the vector v⃗ = (x, y) , use the formula θ = arctan(y/x) , where θ is the smallest angle the vector forms with the horizontal axis, and x and y are the components of the resultant vector.
A person with a mass of 11.24 kg is accelerated to 9.15 m/s2. How much force was applied to him.
Answer:
102.846 Newtons
Explanation:
The equation relating mass, acceleration and force is
F = ma
where
F = force
m = mass
a = acceleration
Given
m = 11.24 kg
a = 9.15 m/s²
F = 11.24 kg x 9.15 m/s²
= 102.846 Newtons
it is specified that a certain nut be tightened to a torque of 41 n*m. if the mechanic is using a 81 cm wrench, how much force must he apply to the end of the wrench to meet specs?
To torque the nut to the required 41 N*m, the mechanic needs apply a force of 50.62 N to the end of the wrench.
Is 40 times more torque needed to remove a nut from a wheel?The amount of torque needed to remove a nut from a car's wheel is 40.0 Nm. In order to remove the nut, the technician must use a minimum force of 40.0 Nm at the end of a 50.0 cm wrench.
We can apply the following formula to resolve this issue:
Torque = Force x Distance
where Torque is given as 41 N*m, Distance is the length of the wrench (81 cm = 0.81 m), and we want to find the Force.
So, we can rearrange the formula to solve for Force:
Force = Torque / Distance
Substituting the given values, we get:
Force = 41 N*m / 0.81 m
Force = 50.62 N
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find strength of electric field formed by a 150.0 cm charged rod with linear charge density of 120 c at distance of 80.0 cm on central axis?
The strength of the electric field formed by the charged rod at a distance of 80.0 cm on its central axis is 1.35 x 10^12 N/C.
The electric field created by a charged rod at a point on its central axis can be calculated using the formula,
[tex]E = \dfrac{k \lambda}{r}[/tex]
where k is Coulomb's constant (k = 9.0 x 10^9 N m^2/C^2), lambda is the linear charge density of the rod in C/m, and r is the distance from the rod to the point where the electric field is being measured, also in meters.
Substituting the given values,
[tex]E = \dfrac{9.0 \times 10^9 \times 120}{0.8}[/tex]
E = 1.35 x 10^12 N/C
Therefore, the strength of the electric field formed by the charged rod at a distance of 80.0 cm on its central axis is 1.35 x 10^12 N/C.
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How are atoms in a molecule held together?
through shared electrons
through shared neutrons
through shared protons
through shared energy
The equation below expresses the proportional relationship between an object's kinetic energy, mass, and velocity.
Kinetic energy% x mass x velocity
How did your observations confirm this equation?
Answer: I do not know what your observations were, but objects with a higher mass and objects traveling at a faster velocity have a higher kinetic energy. The reverse is true of course for less KE.
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
A beam of light strikes a mirror at an angle of 45 degrees. What shape is formed by the beam of light?
A. Any motion into directions such as up and down
B. The letter v
C. A straight line
D. The letter U
PLEASE ANSWER ASAPPPP
A mirror receives a light beam at a 45 degree angle. The light beam takes the form of a straight line. As a result, choice (C) is accurate.
When a beam of light strikes a mirror at an angle, the reflected beam follows the law of reflection, which states that the angle of reflection is equal to the angle of incidence, and both angles are measured with respect to the normal (a line perpendicular to the surface of the mirror) at the point of incidence.
In this case, since the beam of light strikes the mirror at an angle of 45 degrees, the angle of reflection is also 45 degrees, as shown in the diagram below:-
/|
/ |
/ |
/ |
/________| <--- Mirror surface
| /
| /
| /
| /
As a result of the law of reflection, the reflected beam of light will form a symmetrical angle with the incident beam, as shown in the diagram below:-
/|
/ |
/ |
/ |
| /
| /
| /
|/
This reflected beam will continue to travel in a straight line away from the mirror, and will not change shape. Therefore, the correct answer is option C: "A straight line".
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Uniform Electric Field Two conducting parallel plates are oppositely charged and separated by a certain distance. An electron is located midway between the plates. The magnitude of the electrostatic force on the electron is 3.8 × 10-16 newton. 1. On the diagram, draw at least three field lines to represent the direction of the electric field in the space between the charged plates. 2. Identify the direction of the electrostatic force that the electric field exerts on the electron.
The electrostatic force exerted on the electron will be in the direction of the electric field, which is from the positive plate to the negative plate. Since the electron is negatively charged, it will be attracted to the positively charged plate, so the force on the electron will be in the direction from the negative plate to the positive plate.
What is electrostatic force?The electrostatic force, also known as the Coulomb force, is the force that exists between electrically charged particles. It is a fundamental force of nature that governs the behavior of charged particles, such as electrons and protons.
How is electrostatic force important?The electrostatic force is responsible for many natural phenomena, such as the attraction and repulsion of magnets, the electric shock felt after rubbing a balloon on hair, and the behavior of lightning. It is also used in a wide range of technologies.
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how can the momentum of a speeding bullet be the same as the momentum of a supertanker moving toward a dock
Mass in motion is quantified by momentum, which is the measure of how much weight is moving. It typically has the sign math
What does motion mean in mathematics?
In mathematics, movement, distance, velocity, impulse, and speed are used to explain motion. By securing a reference point to the environment or the observer, a body's motion can be seen. A body's motion is quantified by tracking how its location changes in relation to the perspective it occupies.
What types of motion may an object make?
The force acting on a body determines how it moves. These are some examples of various motion types. Translational: When an item goes along a route across all 3 components, it is of this type. Rotational: This sort of movement involves an object moving in a circular motion around a fixed axis.
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imad sets the charge of both particles to zero, then varies the charge on the left particle. what does jacob report on what he observes?
Jacob reports that as he varies the charge on the left particle, he observes that the force between the two particles changes.
Specifically, when the charge on the left particle is positive, the force between the two particles is attractive, and when the charge on the left particle is negative, the force between the two particles is repulsive. This is because opposite charges attract and like charges repel. As the magnitude of the charge on the left particle increases, the force between the two particles increases as well. The force of attraction is strongest when the charges on both particles are the same, and the force of repulsion is strongest when the charges on the particles are opposite.
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This is a GCE physics past paper question. Can someone please give answer and also give reasoning.
Answer:
60mV
Explanation:
But I'm not so sure, i tried
How much energy is released if 278 kg of aluminum cools from 698 K to 298 K?
Answer:
Explanation:
Q=278*126.85*900=31,737,870J
The greater the blank of a moving object, the blank it has
Answer:
The greater the MASS of a moving object, the GREATER KINETIC ENERGY it has.
Explanation:
Anytime matter is in motion it has kinetic energy. The faster an object moves, the more kinetic energy it has. The more mass an object has, the more kinetic energy it has.
a capacitor is connected to a battery as shown above. the plates of the capacitor are pulled apart using insulating handles while the capacitor remains connected to the battery. will the capacitance and energy stored in the capacitor increase, decrease, or remain the same?
If the plates of a capacitor are pulled apart using insulating handles while the capacitor remains connected to the battery, the distance between the plates will increase. This will result in a decrease in the capacitance of the capacitor.
The capacitance of a capacitor is directly proportional to the area of the plates and inversely proportional to the distance between the plates. When the plates are pulled apart, the distance between them increases, so the capacitance decreases.
However, the energy stored in the capacitor is given by the formula: E = (1/2)CV^2, where C is the capacitance of the capacitor and V is the voltage across the capacitor. Since the battery is still connected, the voltage across the capacitor remains constant. Therefore, the energy stored in the capacitor will decrease as the capacitance decreases.
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Peregrine falcons are known for their maneuvering ability. In a tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. Part A What is the radius of the turn if the falcon is flying at 22 m/s ? Express your answer with the appropriate units. ol ?
As per the question the radius of the turn is approximately 33.25 meters.
What is centripetal acceleration?An object travelling in a circular path will experience centripetal acceleration. It is always pointed in the direction of the circle's center, hence the formula:
a = v^2 / r
where a denotes the centripetal acceleration, v the object's speed, and r the circle's radius. According to this formula, the centripetal acceleration rises with the object's speed and falls with the circle's radius.
According to question:
We can start by using the centripetal acceleration formula:
a = v^2/r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the turn.
In this case, we know that the centripetal acceleration is 1.5 times the free-fall acceleration, which is approximately 9.8 m/s^2. Therefore:
a = 1.5 * 9.8 m/s^2 = 14.7 m/s^2
We also know that the velocity of the falcon is 22 m/s. Plugging these values into the formula above, we get:
14.7 m/s^2 = (22 m/s)^2 / r
Solving for r, we get:
r = (22 m/s)^2 / 14.7 m/s^2 ≈ 33.25 m
Therefore, the radius of the turn is approximately 33.25 meters.
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at what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground? express your answer in degrees.
at the velocity of 60 degree angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground
For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,
v 0 cosθ= 2v 0
or cosθ= 21
or θ=60 ∘ .
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
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suppose that 18 j of work is needed to stretch a spring from its natural length of 6 m to a length of 9 m. (a) how much work is needed to stretch the spring from 12 m to 14 m?
The work which is needed to stretch the spring from 12 m to 14 m is 56J if 18 j of work is needed to stretch a spring from its natural length of 6 m to a length of 9 m.
Given the amount of work done (W) = 18J
The initial length of spring (L1) = 6m
The length of spring after stretching (L2) = 9m
The elongation of spring (x) = L2 - L1 = 9 - 6 = 3m
We know that work done on a spring is equal to force multiplied by the spring elongation such that W = Fx where F = 1/2kx ; k is spring constant
18 = 1/2 * k * x^2
k = 36/9 = 4
Given the original length of spring = 12m
The length of spring after stretching = 14m
stretching length from 6m to 12m is 6m
stretching length from 6m to 14m is 8m
The elongation in spring = (x')
Work done on the spring = 1/2k(x')^2 = 1/2 * 4 * (8^2 - 6^2) = 56J
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A motorcycle traveling at 87.3 mi/hr for 0.85
hours, what is the acceleration if the final-
velocity is 120 mi/hr?
A motorcycle traveling at 87.3 mi/hr for 0.85 hours, the acceleration of the motorcycle is 38.47 miles per hour squared (mi/[tex]hr^2[/tex]) if the final- velocity of a motorcycle is 120 mi/hr.
What is the calculation of the acceleration?The acceleration of the motorcycle= (final velocity - initial velocity) / time
(initial velocity=at the beginning of the time interval, final velocity= velocity at the end of the time interval, time= the duration of the interval)
Here, initial velocity =87.3 mi/hr, the final velocity = 120 mi/hr, and the time interval = 0.85 hours.
acceleration = (120 mi/hr - 87.3 mi/hr) / 0.85 hours
acceleration = 32.7 mi/hr / 0.85 hours
acceleration = 38.47 mi/[tex]hr^2[/tex]
Hence, the acceleration of the motorcycle is 38.47 miles per hour squared (mi/[tex]hr^2[/tex]) if the final velocity is 120 mi/hr.
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Why are positive charges free to move around in gases and liquids but not in solids?
how much work does the electric field do in moving a proton from a point with a potential of 195 v to a point where it is -35 v ?
The work done by the electric field in moving the proton from a point with a potential of 195 V to a point where it is -35 V is approximately 6.24 x 10^-17 J.
The work done by the electric field in moving a charge q from a point with a potential V1 to a point with a potential V2 is given by:
W = q(V2 - V1)
In this case, the charge q is a proton, which has a charge of +1.60 x 10^-19 C. The potential difference between the two points is:
V2 - V1 = (-35 V) - (195 V) = -230 V
Substituting these values into the equation above, we get:
W = (1.60 x 10^-19 C)(-230 V - 195 V) = -6.24 x 10^-17 J
The negative sign indicates that the electric field does work on the proton, which loses energy as it moves from the point with higher potential to the point with lower potential.
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Define Resonance Physics
Answer:
Resonance is a phenomenon that occurs when the frequency at which an external force is applied to an object is equal to the natural frequency of vibration of that object.
In physics, resonance is a common occurrence in mechanical, electrical, and acoustical systems.
a particle undergoes simple harmonic motion of amplitude and frequency . what is the average speed of the particle during one oscillation?
The average speed of the particle during one oscillation is 2 times the product of the amplitude and frequency of the simple harmonic motion.
The average speed of a particle undergoing simple harmonic motion in one oscillation can be found by using the formula for the average speed, which is the total distance traveled divided by the total time taken. In one complete oscillation, the particle starts from the equilibrium position, moves to the maximum displacement in one direction, returns to the equilibrium position, and then moves to the maximum displacement in the other direction before returning to the equilibrium position again. This completes one oscillation.
The total distance traveled by the particle in one complete oscillation is twice the amplitude of the motion, which is given in the problem. Therefore, the total distance traveled is 2A, where A is the amplitude of the simple harmonic motion.
The total time taken for one complete oscillation is the period of the motion, which is the time taken for the particle to complete one oscillation. The period is given by the formula T = 1/f, where f is the frequency of the motion.
Therefore, the average speed of the particle during one oscillation is:
average speed = (total distance traveled) / (total time taken)
= (2A) / (T)
= (2A) / (1/f)
= 2Af
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