a 183 cm string clamped at both ends under a tension of 310 n has a fundamental frequency of 351 hz (the note f). what is the frequency of the third harmonic?

Answer:

this is e=mc2

Explanation:

It means that energy and mass are the same

Answer:

c. 80%

Explanation:

Given;

load raised by the machine, L = 360 N

distance through which the load was raised, d = 0.2 m

effort applied, E = 50 N

distance moved by the effort, e = 1.8 m

The efficiency of the machine is calculated as follows;

\(Efficiency = \frac{ 0utput \ work }{1nput \ work} \times 100\% \\\\Efficiency = \frac{Load \ \times \ distance \ moved \ by \ load }{Efort \ \times \ distance \ moved \ by \ effort} \times 100\%\\\\Efficiency = \frac{360 \times 0.2}{50 \times 1.8} \times 100\%\\\\Efficiency =80\%\)

Therefore, the efficiency of the machine is 80%

While most pitches are encoded directly by the placement of a frequency on the membrane, low-frequency tones are encoded by the phase-locking of the auditory nerve fibers.

This means that the nerve fibers fire in synchrony with the sound wave and the brain can then interpret this as a low-frequency tone. This is because the membrane's responsiveness decreases at lower frequencies, making it more difficult for it to accurately encode the pitch information.
While most pitches are encoded directly by the placement of a frequency on the membrane, low-frequency tones are encoded by the timing of the membrane's vibrations, also known as phase-locking. This explanation means that low-frequency sounds are represented by the synchronization of the membrane's movements with the incoming sound waves, allowing for accurate encoding of these lower pitches.

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The direct path and direction from point A to B is called "Displacement". (Option D).

Displacement is described as a change in an object's location. It is a vector quantity with a magnitude and a direction. It is depicted as an arrow pointing from the starting point to the ending point.

For instance, if an object travels from A to B, the object's location changes. Displacement is the change in the location of an item.

The mathematical expression of displacement is given as:

Δx = xf  - x₀; Where

xf = Final Position

x₀ =  Initial position; and

Δx = displacement.

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Answer:

The correct option is;

Elastic

Explanation:

In an elastic collision, the initial kinetic energy of the system is equal to the final kinetic energy of the system, such that there is no loss in the net kinetic energy available at a specific time or stage in the system

Therefore, we have;

1/2·m₁·v₁₁² + 1/2·m₂·v₂₁² = 1/2·m₂·v₁₂² + 1/2·m₂·v₂₂²

From which we get;

m₁·v₁₁ + m₂·v₂₁ = m₂·v₁₂ + m₂·v₂₂

Which is indicates that the initial and momentum of the system is also conserved

Therefore, in an elastic collision, both momentum and kinetic energy are conserved.

The height of the cliff is 19.94m when she is running at 3.0 m/s before jumping off the cliff and with 19.76m/s speed she would be falling right before she hit the water.

Given the initial speed of Pocahontas (u) = 3m/s

The speed at which she hits the bottom of cliff (v) = 20m/s

The height of cliff = h

We know that kinetic energy is defined as (KEi) = \(1/2mu^2\)

The potential energy is represented as (PEi) = mgh

Thus the height of the cliff can be calculated using the equation for conservation of energy. Then conservation of energy says that the initial kinetic energy and potential energy is equal to the final kinetic energy gained and potential energy as she falls.

(a) KEi + PEi = KEf + PEf

\(1/2mu^2 + mgh = 1/mv^2 + 0\)since after falling the height = 0

\(1/2(m)(3.0 m/s)^2 + m(9.8m/s^2)h = 1/2m(20m/s)^2\)

\(4.5m^2/s^2 + 9.8m/s^2 * h = 200m^2/s^2\)

h = 19.94m

Therefore, the height of the cliff is 19.94 m.

(b) If she jumps off by standing still then initial velocity is 0 such that:

KEi + PEi = KEf + PEf

\(0 + mgh = 1/2mv^2 + 0\)

\(v^2 = 2 * 9.8 * 19.94\)

\(v = \sqrt{390.824} = 19.76m/s\)

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The charge on the second sphere is -9.6×10⁻⁶ C.

The force of attraction or repulsion between two charged things is directly proportional to the product of their charges and inversely proportional to the square of their distance, according to Coulomb's law.

Given, Q1 = +2.3 x 10⁻⁶ C

distance, r = 2m

attraction force, Fa = 0.05N

now by using Coulombs law,

Fa = k×Q1×Q2/r

0.05 =  9×10⁹×2.3 x 10⁻⁶ × Q2 /2

Q2 = 2×0.05/ 9×10⁹×2.3 x 10⁻⁶

Q2 = 9.6×10⁻⁶ C.

Since it is an attractive force therefore charges will be opposite,

The charge on the second sphere is -9.6×10⁻⁶ C.

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Answer:

The  tangential velocity for the cars are approximately 2.3 m/s

Explanation:

The given parameters are;

The radius of the Texas Star Ferris wheel, r = 65.8 mete secondsrs

The time it takes the Ferris wheel to go round once = 180 seconds

The angular velocity, ω = Change in angle rotated/(Time duration of the change)

ω = Δθ/Δt = 2·π/180

The tangential velocity for the cars, \(v_t\) = ω·r = 2 × 3.14/180 × 65.8 ≈ 2.3 m/s

The  tangential velocity for the cars, \(v_t\) ≈ 2.3 m/s.

Answer:

280

Explanation:

I used the equation for momentum, p=mv

70 x 4 = 280

Answer:

the stars which are red in color are cool.

Explanation:

The stars which has reddish color are cool in nature while those stars which has white and blue in color are very hot in nature. The stars change its color when they becomes hotter , first the star color reddish when they are cool but with increasing temperature it changes the color from reddish to orange then yellow. After yellow it turns green and finally get blue color when the stars are very very hot.

The mass can be calculated using the formula:m = ((4π²k)/f²)where k is the spring constant, f is the frequency in Hz, and m is the mass in kilograms.

Plugging in the values given, we get:m = ((4π²*5 N/m)/(0.3 Hz)²) = 34.9 kgTherefore, the mass of the object attached to the spring is approximately 34.9 kilograms.This formula uses the relationship between the frequency of the spring's oscillation and the mass attached to it, based on the concept of Hooke's law. The spring constant is a measure of the stiffness of the spring, while the frequency is a measure of how quickly it oscillates. By using these values and the formula, we can calculate the mass that is attached to the spring.

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The length of actual ship, in accordance with the scale provided, is 160 meters, as stated in the question.

Using measuring instruments like a yardstick, measuring tape, etc., one may determine the size of any item. A ruler can be used to estimate, for instance, how many centimeters a pencil is long. A foot scale can be utilized to gauge the height of each student in a class.

The distance between an object's sides is its length. The greatest dimension is this one. The width of an entity is the gap between its two sides. The smallest dimension is this one.

Length of scale = 4m

Length of model = 40cm

Length of actual ship = 400cm*40cm

= 160m

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In conclusion, when a horizontal pipe is completely filled with a liquid and has an output pressure greater than the input pressure, the speed of the liquid at the output will increase due to the pressure difference created by Bernoulli's principle.

When a horizontal pipe is completely filled with a liquid and has an output pressure greater than the input pressure, the speed of the liquid at the output will increase.

This is because the increased output pressure creates a pressure difference between the input and output ends of the pipe. According to Bernoulli's principle, as the pressure difference increases, the speed of the fluid also increases.

Bernoulli's principle states that in a flowing fluid, an increase in speed is accompanied by a decrease in pressure.

So, when the output pressure is greater than the input pressure, the fluid will flow from high pressure to low pressure, resulting in an increase in speed.

To illustrate this, let's consider a simple example. Imagine you have a horizontal pipe filled with water.

If you increase the pressure at the output end of the pipe, the water will flow faster at the output because the pressure difference between the input and output ends has increased.

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True. Supernovae can produce shock waves that have the potential to trigger the birth of new stars.

Supernovae, the powerful explosions of dying stars, can produce shock waves that have the potential to trigger the birth of new stars. When a massive star goes supernova, the explosion releases an enormous amount of energy and ejects material into space. These shock waves can compress nearby interstellar gas and dust, causing it to collapse and form new stars.

The shock wave can also trigger the process of gravitational collapse in dense regions, leading to the formation of stellar nurseries where new stars can be born. Therefore, supernovae play a crucial role in the cycle of stellar life and can contribute to the formation of new stars.

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The statement "data localization involves transforming a query into fragments that explicitly reference data at one site" is false because It aims to ensure that data generated by individuals or organizations within a certain jurisdiction remains within that jurisdiction and is subject to local laws and regulations

Data localization refers to the practice of storing and processing data within the jurisdiction or geographical boundaries of a specific country or region. Transforming a query into fragments that explicitly reference data at one site is not a characteristic of data localization. Instead, it refers to a query-based approach where data is fragmented and distributed across multiple sites or servers for efficient processing and retrieval.

Data localization typically involves measures such as data residency requirements, where data must be physically stored within a specific location, or data sovereignty regulations that mandate local control and jurisdiction over data. The intention behind data localization is often driven by factors such as data security, privacy concerns, compliance with local regulations, or promoting domestic industry and economic growth.

In summary, data localization does not involve transforming queries into fragments that explicitly reference data at one site. It focuses on the physical storage and processing of data within a specific jurisdiction.

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Charged particles are fundamental to the behavior of electric currents, electric circuits, and resistance. An electric current is the flow of charged particles, typically electrons, through a conductor.

The flow of charged particles generates an electric field that induces a potential difference, or voltage, across the conductor.Electric circuits are constructed by connecting conductors and electrical components, such as resistors, capacitors, and inductors, in a specific configuration. The arrangement of the components determines how the current flows through the circuit.

The flow of current through the circuit depends on the resistance offered by the components in the circuit and the potential difference across the circuit.Resistance is the property of a conductor that opposes the flow of current. The resistance of a conductor is proportional to the number of charged particles in the conductor, the length of the conductor, and the cross-sectional area of the conductor. The resistance can also be affected by the temperature of the conductor and its material properties.

In summary, charged particles are responsible for generating electric currents that flow through electrical circuits. The behavior of the currents is determined by the arrangement of the components in the circuit and the resistance offered by the conductors and components. Resistance is a fundamental property of a conductor that opposes the flow of charged particles and can be affected by various factors.

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The advantages and disadvantages may vary depending on the specific application, material, and the expertise of the personnel conducting the magnetic particle testing.

Advantages of using the magnetic particle method of defect detection:

Sensitivity to Surface and Near-Surface Defects: Magnetic particle testing is highly sensitive to surface and near-surface defects in ferromagnetic materials. It can detect cracks, fractures, and other discontinuities that may not be easily visible to the  eye.

Rapid and Cost-Effective: Magnetic particle testing is a relatively fast and cost-effective method compared to other non-destructive testing techniques.

Real-Time Results: The method provides immediate results, allowing for real-time defect detection. This enables quick decision-making regarding the acceptability of the tested components or structures, leading to faster production cycles and reduced downtime.

Disadvantages of using the magnetic particle method of defect detection:

Limited to Ferromagnetic Materials: Magnetic particle testing is applicable only to ferromagnetic materials, such as iron, nickel, and their alloys. Non-ferromagnetic materials, such as aluminum or copper, cannot be effectively inspected using this method.

Surface Preparation Requirements: Proper surface preparation is crucial for effective magnetic particle testing. The surface must be cleaned thoroughly to remove dirt, grease, and other contaminants that can interfere with the test results. This additional step may require additional time and effort.

Limited Detection Depth: Magnetic particle testing is primarily suited for detecting surface and near-surface defects. It may not be as effective in detecting deeper or internal defects. Other non-destructive testing methods, such as ultrasonic testing or radiographic testing, may be more appropriate for inspecting components with deeper or internal flaws.

It's important to note that the advantages and disadvantages may vary depending on the specific application, material, and the expertise of the personnel conducting the magnetic particle testing.

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Answer:

Acceleration, \(a=-2.8\ m/s^2\)

Explanation:

It is given that,

The initial speed of a speed skater, u = 8 m/s

The final speed of a speed skater, v = 6 m/s

Width of patch of rough ice, s = 5 m

We need to find the acceleration on the rough ice. Acceleration can be calculated using third equation of motion as :

\(v^2-u^2=2as\\\\a=\dfrac{v^2-u^2}{2s}\\\\a=\dfrac{(6)^2-(8)^2}{2\times 5}\\\\a=-2.8\ m/s^2\)

So, the acceleration on the rough ice is \(2.8\ m/s^2\). Negative sign shows that its speed is decreased.

Considering the coordinates of the radars as well as the direction of the object in order to determine the object's position in terms of distance and angle. Sincе thе radars arе situatеd at (0,0) and thе sеcond radar is on thе еast sidе of thе first onе, wе can assumе that thе first radar is locatеd on thе x-pivot and thе sеcond radar is locatеd on thе positivе y-hub.

Lеt's say thе objеct is dеtеctеd at coordinatеs (x, y). The objесt's y-coordinativity will be negative and its x-coordinativity positive as it approaches the southern direction in the first quadrant.

We can use the distancе formula to determine the object's diameter from its origin (0, 0):

Distancée = (x + y) 2 The angle can be calculated with trigonometry. The angle can be summarized as:

= arctan(y/x) ii) We must consider the circles of overlap for each radar in order to calculate the overlap from the radar signal intersection in the first quadrant.

Due to the fact that both radars have distinctive overlap and divide the covered area into circles, the overlapped area will be the intersection of these circles.

Thе ovеrlapping arеa can bе calculatеd by finding thе arеa of thе intеrsеction of two circlеs. The formula for the area of the intersection of two circles can be complex and depends on the specific radii and dimensions that exist between the circles' centers.

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By examining these factors, such as mean, variability, and bias, we can determine which student was better at estimating the mass of the objects.

To determine which student was better at estimating the mass of the objects, we need to compare the summary statistics of their estimates. Without specific summary statistics provided, we can consider the following factors:

1. Mean: Calculate the mean estimate for each student by summing up their estimates and dividing by the number of objects. Compare the mean estimates of Clare and Lin. The student with a mean estimate closer to the actual weight of 2,000 grams would be considered better at estimating the mass.

2. Variability: Consider the variability of the estimates for each student. Calculate the standard deviation or range of estimates for Clare and Lin. A smaller standard deviation or range indicates more consistent and accurate estimates, suggesting better estimation skills.

3. Bias: Check if there is any systematic bias in the estimates of either student. If one student consistently overestimates or underestimates the mass, it may indicate a tendency for inaccurate estimation.

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The average speed for the entire course is approximately 11.4 m/s.

Hence, the correct option is E.

To calculate the average speed for the entire course, we divide the total distance traveled by the total time taken.

Given:

Total distance (d) = 302 meters

Total time (t) = 26.585 seconds

Average speed (v) = Total distance / Total time

v = 302 meters / 26.585 seconds

v = 11.4 m/s (rounded to two decimal places)

Therefore, the average speed for the entire course is approximately 11.4 m/s.

Hence, the correct option is E.

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Answer: Parfocal will be the answer.

Explanation:

A substance that prevents free flow of electrical current is known as an electrical insulator. The electrons in the insulator's atoms are securely bonded and immobile.

Protons are in overabundance on an aluminium plate that is positively charged. A positively charged aluminium plate has a deficiency of electrons when viewed from the perspective of electrons. We might characterise each extra proton as being somewhat dissatisfied in terms of people.

The other plate develops an imposed positive charge as a result of the electron's electric field, which pulls on the electrons that are in that plate and repels other electrons.

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Answer:a device for calibrating thermometers at the boiling point of water at a known height above sea level or for estimating height above sea level by finding the temperature at which water boils.

Explanation:

Answer:

Because even if iron is magnetic its not a magnet it self unless rubbed a magnetic object

The average electric power consumption of a machine is 29.4 watt.

Kinetic Energy is defined as the object which has because of its motion.

It is represented as

K = 1/2 mv²

where,

K = Kinetic Energy

m = mass

V = Velocity

Now by putting the value we get the kinetic energy as

K = 1/2 mv²

= 0.5 × 0.3 × (7)²

= 7.35 J

It is given in the question that the machine throws 2 snowballs per second.

Poutput = 2 × 7.35

= 14.7 J/s

= 14.7 watt

According to the question the efficiency is given as 50%. So average electric power is

Avg. Electric power = 2 × 14.7

= 29.4 watt

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Shear stress can be caused by a variety of factors, including torsional loading, bending, and twisting, in regions BC and DE of the shaft. These stresses can cause deformation, which can lead to shaft failure if not properly designed and manufactured.

The weight of the rod also contributes to the shear stress in section A. The shear stress equation, which is proportional to the force applied and the area over which the force is applied, can be used to calculate the amount of stress.

The angle of 0.008488 radians or 0.486° may represent the shaft's angle of twist due to torsional loading, which can also cause shear stress in the shaft. It is critical to consider the angle of twist when designing and analyzing the shaft to ensure that it can withstand the applied loads without failure.

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The solar system is bounded together by gravity, and is made up of the Sun  eight planets and dwarf planets

The correct options are;

Reasons:

The Sun generates energy by nuclear fusion in its cores

The size of the Moon more than a quarter of the Earth's size

Saturn moon Titan shows signs of volcanic activity

The moon Triton rotates in the opposite direction to the rotation of Neptune

Venus is the second closest planet to the Sun with a thick CO₂ atmosphere, resulting in a greenhouse effect that makes the planet 510°C hotter

Uranus has seasons that last for approximately 20 years

The New Horizons spacecraft took 9.5 years to reach Pluto after the mission was launched in 2006

Mars liquid water disappeared billions of years ago

The Great Red Spot storm has lasted for over 300 year

Eris, one of the largest dwarf planets and is further from the Sun than Pluto

The difference in temperature between the day and night sides of Mercury is 427°C - (-180°C) ≈ 607°C

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Answer:

mass= 20kg

g=10m/s2

weight is F=mg

F=20×10

F=200N