when is the angular momentum of asystem constant

The speed of the object at 2 cm below the initial position is 0.45 m/s when a small object of 100 g attached to its lower end.

Given the mass of small object (m1) = 100g

The distance of object from top of spring (x) = 5cm

The point of length of object (l) = 2cm

the speed of object at 2cm below the initial position is = v

We know that F = Kx where F = mg such that:

mg = kx then [tex]100 * 10^{-3} * 9.8 = k * 5 * 10^{-2[/tex]

k = 19.6

We know that from the conservation of energy,

initial potential energy (Ui) + kinetic energy (K.E) = final PE + KE such that:

[tex]1/2kx^2 - mgx + 1/2mv^2 = 0[/tex]

[tex]1/2 * 19.6 * (0.02)^2 - 0.1 * 9.8 * 0.02 + 1/2 * 0.1 * v^2 = 0[/tex]

[tex]0.00392 - 0.0196 = -0.05v^2[/tex]

[tex]0.3136 = v^2[/tex]

v = 0.45m/s

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Atomic mass is the mass of an atom of a chemical substance shown in atomic mass units (amu). It is the sum of the masses of protons, neutrons, and electrons in an atom.

Protons are subatomic particles with a positive charge. The total number of protons in an atom ascertains its atomic number. The nucleus of an atom contains both protons and neutrons and the latter does not have any charge. Mass number is the sum total of the number of protons and number of neutrons in an atom. Mass number is expressed as a whole number and is specific to each isotope.

Atomic mass is usually measured relative to the mass of a carbon-12 atom, which is assigned a mass of exactly 12 atomic mass units. This means that the atomic mass of other elements is given in relation to the mass of carbon-12.

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Thunder was heard 2second after the lightening .if the velocity of sound is 350m/s, the lightening is about 700 meters far.

In international agreement in 1983, the meter was redefined as the distance that light would travel in a vacuum within 1/299,792,458 of both a second, building on these and other advancements. In a vacuum, this definition also fixed the light's speed at 299,792,458 meters a second.

In terms of measurement, what does the word "meter" mean?

A typical metric unit called a meter is equivalent to around 3 feet, 3 inches. This indicates that metric measurement system includes the meter. Objects about one meter long include guitars, baseball bats, & yard poles. In athletic competitions like running and swimming, distances are also measured in meters.

The distance between the viewer and the lightning is about 700 meters.

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I am very pleased to be here today to welcome all of you to the laboratory.

As a prefect, I am in charge of this laboratory and I would like to take this opportunity to tell you a bit about what a laboratory is and why it is important.A laboratory is a place where scientific experiments are conducted and new knowledge is gained. The laboratory provides a safe and controlled environment for students to explore, analyze, and test out new ideas and concepts. In addition to providing a space for experimentation, the laboratory also provides access to specialized equipment and materials that can be used for research purposes.In the laboratory, you will learn how to use the scientific method to answer questions and solve problems. You will also learn how to properly use the equipment and materials found in the laboratory.This is an important skill that will help you to become a successful scientist.

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The wave given in the diagram is a third harmonic wave

A harmonic wave is a type of wave that is characterized by its frequency, which is a multiple of the fundamental frequency. In other words, a harmonic wave has a frequency that is an integer multiple of the fundamental frequency, such as twice, three times, four times, etc. the fundamental frequency.

A third harmonic wave specifically has a frequency that is three times the fundamental frequency. It is important to note that a third harmonic wave is just one type of harmonic wave, and there can be other harmonic waves with different frequencies that are also multiples of the fundamental frequency.

Third harmonic waves can be observed in various physical systems, including musical instruments, electrical circuits, and mechanical systems. In musical instruments, for example, a third harmonic wave can produce a higher-pitched sound than the fundamental frequency, while in electrical circuits, it can result in a distortion of the signal. In mechanical systems, a third harmonic wave can cause resonance, which can lead to damaging vibrations.

NB: This wave is known as a standing wave

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The amplitude of the graph is 4. Option D.

Amplitude refers to the maximum displacement or distance from the rest position of a vibrating object or wave. In other words, it measures the strength or intensity of the vibration or wave.

For sound waves, it determines the loudness of the sound, while for light waves, it affects the brightness of the light.

In the graph, the maximum amount of displacement of the wave is 4.

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During the 200-meter race, Michael Phelps moved at a speed of 1.75 metres per second.

More than any other swimmer in history, he won Olympic medals, world titles, US national titles, and set world records. Phelps has made it a priority to support the growth of swimming at all levels during his career. With a total of 28 medals, he is the most successful and decorated Olympian of all time.

Velocity = Distance / Time

In this case, the distance swum is 200 meters and the time taken is 1 minute and 54 seconds, or 114 seconds.

Velocity = 200 meters / 114 seconds

Velocity = 1.75 meters/second (rounded to two decimal places)

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According to this passage, the ultimate aim of existence is to completely experience and appreciate the state of being alive rather than merely to discover a particular purpose or significance.

"I don't think [the purpose of life] is what we're seeking," said Joseph Campbell. I believe it is an experience of life, allowing our experiences on the strictly physical plane to resonate with our innermost selves and realities, allowing us to truly feel the joy of existence.

The bravery to probe the depths, the idea of creative rebirth, and the never-ending cycle of transformation within ourselves are all fundamental themes of the hero's journey.

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The  two differences between mains electricity and that supplied by a 1.5V cell:

Power Output means the average rate of electric energy delivery during one Metering Interval.

Power output: Compared to a 1.5V cell, mains electricity has a much greater power output. This is so that more power can be delivered to devices and appliances by mains electricity, which is provided at a higher voltage and current.

Compared to a 1.5V cell, the voltage provided by mains electricity is usually much higher. A 1.5V cell produces DC (direct current) voltage, whereas the mains electricity in the majority of nations is typically supplied at a voltage of 110–120V or 22–240V AC (alternating current). The kinds of devices and appliances that can be powered by mains electricity versus those that can be powered by a 1.5V cell are affected by this difference in voltage levels.

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Answer:

(a) To find the particle's acceleration, we can use the formula: a = (v2 - v1)/t where v1 is the initial velocity, v2 is the velocity at time t, and t is the time interval. Substituting the given values, we get: a = (14.0j - (15.8i + 18.4j))/5.1 s a = (-15.8i - 4.4j)/5.1 s a = (-3.1i - 0.9j) m/s^2 Therefore, the particle's acceleration is (-3.1i - 0.9j) m/s^2. (b) To find the position function, we can integrate the velocity function with respect to time: r(t) = ∫v(t) dt Integrating

Answer:

Diffraction Grating: Definition and Applications

A diffraction grating is a device that is used to separate light into its component wavelengths. It consists of a flat surface that has a large number of parallel grooves or lines etched into it. When light is shone onto the grating, it is diffracted into its individual wavelengths, producing a spectrum of colors. Diffraction gratings are commonly used in various applications, such as spectroscopy, astronomy, and telecommunications.

The science behind diffraction gratings is based on the principles of wave interference and diffraction. When light passes through a narrow slit or a small opening, it diffracts, or spreads out, into a series of bright and dark fringes. When a beam of light passes through a grating, the light is diffracted by each of the parallel lines on the surface of the grating, resulting in a series of bright and dark fringes that are spaced apart at regular intervals. The spacing between the lines on the grating determines the amount of diffraction, and therefore the angle at which the diffracted light is scattered.

Diffraction gratings are commonly used in spectroscopy, which is the study of the interaction between light and matter. Spectroscopy is used in various applications, such as identifying the chemical composition of materials, analyzing the spectra of stars and galaxies, and studying the properties of molecules and atoms.

In astronomy, diffraction gratings are used in telescopes and spectrometers to study the spectra of stars and galaxies. By analyzing the spectra, astronomers can determine the chemical composition, temperature, and other properties of celestial objects.

In telecommunications, diffraction gratings are used in fiber-optic communication systems to separate different wavelengths of light. This allows for the transmission of multiple signals over a single optical fiber, increasing the capacity and speed of the communication system.

In conclusion, a diffraction grating is a device that is used to separate light into its component wavelengths. It consists of a flat surface with parallel lines etched into it, which diffract the light and produce a spectrum of colors. Diffraction gratings are commonly used in spectroscopy, astronomy, and telecommunications, and they play an important role in our understanding of the interaction between light and matter.

Explanation:

Answer:

diffraction grating is an optical component with a periodic structure that diffracts light into several beams travelling in different directions.

Explanation:

According to a variety of sources, writing assignments in college courses at the entry level are typically 5-7 pages long, while those in courses at the main layer can be as long as 15-20 pages.

The vast majority of the times, the project will give precise instructions on how many words or pages that must produce. This is frequently a range instead of a precise figure   Always check to your teacher if you're unsure.

Length of Assignment refers to the number of days between the initial Operational Phase just at Incident or report site on the originating Resource Order and the beginning of returning travel to the Authorized Dispatch Place upon completion or completion of the assignment.

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Answer:

If Mica sends both waves through a vacuum instead of air, water, and glass, then she would find that the waves travel at the same speed. This is because a vacuum is a completely empty space with no matter or medium to interact with, and the speed of light is constant in a vacuum. Therefore, any electromagnetic waves, including light waves, radio waves, and microwaves, would travel at the same speed in a vacuum.

Explanation:

Seems like there might be an easier way than all of this trig work.....let me know if it is incorrect:  ( due to rounding the answer may be 8979 J )

The solar panels produce 1.632 kW of power.

The first step is to calculate the total energy received by the solar panels per second. To do this, we need to multiply the total area of the solar panels by the energy received per unit area and the efficiency of the panels. The efficiency takes into account any losses due to conversion of the energy into electrical power.

We are given that each 1.0 m2 of the panels receives 0.85 kJ of energy from the Sun in 1.0 s. Therefore, we can calculate the energy received by the 12 m2 of panels as:

energy received = area x energy per unit area

energy received = 12 m2 x 0.85 kJ/m2

energy received = 10.2 kJ

If the efficiency of the panels is 16%, then the power they produce is:

Power = (Efficiency × Energy) / Time

Power = (0.16 × 10.2 kJ) / 1.0 s

Power = 1.632 kW

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Answer:

Analyze the data collected and check to see if they support the hypothesis

Explanation: A. if they already have the raw data thaat means they have already conducted the experiment so it can not be the first option

B. once you collect the raw data you need to check if it corresponds to the data so it would have to be the 2 option.

Hopes this helps.

Astronomers believe that the disk of the Milky Way galaxy formed after the stellar halo based on several lines of evidence, including observations of the ages and motions of stars in different regions of the galaxy.

One key piece of evidence is that the stars in the halo of the Milky Way are generally much older than the stars in the disk. This suggests that the halo formed first, likely through the merging of smaller galaxies or the accretion of gas and stars from the surrounding environment.

Additionally, the stars in the halo of the Milky Way have very different motions than those in the disk. Halo stars tend to move in random, elliptical orbits, while disk stars follow more circular orbits around the center of the galaxy. This difference in motion also supports the idea that the two structures formed at different times and through different processes.

Finally, studies of the chemical composition of stars in the Milky Way also support the idea that the disk formed after the halo. The disk contains a higher proportion of heavy elements than the halo, which suggests that the disk formed from gas that had already been enriched by earlier generations of stars in the halo.

Taken together, these lines of evidence support the idea that the disk of the Milky Way formed after the stellar halo.

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The practices don't assist people survive earthquakes or safeguard property safety precautions to take when an earthquake occurs.

The ability of something like a building to bend, wobble, and deform again without collapsing is referred to as ductility, and it is frequently incorporated into earthquake-resistant designs. When subjected to the either vertical or horizontal shear stresses of an earthquake, a ductile structure can bend and flex.

Based just on seismic dangers in the area, buildings are made to endure a particular amount of shaking. For instance, a structure in Los Angeles would be constructed to withstand a stronger earthquakes than one in Nyc. But, seismologists do not often know the precise size.

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As the charge is negative, the force, which has a magnitude of 33.05 N, is directed to the left, against the electric field.

E is a symbol for the magnitude of the electric field at a specific distance from a point charge. At twice the distance from the point charge, what is the electric field's strength? The field's strength is E/2 at twice the distance. The field's strength is still equal to E at a distance that is twice as great.

E = k*q/r²

r1 = 2.00 cm

r2 = 1.00 cm + 3.00 cm = 4.00 cm

r3 = 1.00 cm

Using these distances, we can calculate the electric field due to each charge:

E1 = kq1/r1² = (9.0 x 10⁹ Nm²/C²) * (1.50 x 10⁻⁶ C) / (0.02 m)² = 168.75 N/C (to the right)

E2 = kq2/r2² = (9.0 x 10⁹ Nm²/C²) * (-2.00 x 10^⁻⁶ C) / (0.04 m)² = -112.50 N/C (to the left)

E3 = kq3/r3² = (9.0 x 10⁹ Nm²/C²) * (6.00 x 10⁻⁶ C) / (0.01 m)² = 5.40 x 10⁶ N/C (to the right)

E = E1 + E2 + E3 = 168.75 N/C - 112.50 N/C + 5.40 x 10⁶ N/C = 5.39 x 10⁶ N/C (to the right)

F = q*E

F = (-6.13 x 10 C) * (5.39 x 10⁶ N/C) = -33.05 N

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The tangential speed of a point on the sphere's rim is 2.31 m/s.

An area of 0.1 T magnetic field lies perpendicular to the plane of a cycle wheel with a radius of 0.5 m, rotating at a constant rate of 10 rad/s. Between its centre and rim, there is a 0.5 V. zero EMF created.

I = (2/5) * m * r²

where m is the mass of the sphere and r is the radius.

Substituting the given values, we get:

I = (2/5) * 28.0 kg * (0.380 m)² = 1.35 kg m²

K = (1/2) * I * ω²

Substituting the given value of K and the calculated value of I, we get:

236 J = (1/2) * 1.35 kg m² * ω²

Solving for ω, we get:

ω = √(2 * 236 J / (1.35 kg m²)) = 6.62 rad/s

v = r * ω

Substituting the given value of r and the calculated value of ω, we get:

v = 0.380 m * 6.62 rad/s = 2.31 m/s.

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Crash Course Psychology #14 focuses on the concepts of remembering and forgetting. The episode discusses various aspects of memory, such as encoding, storage, and retrieval. Encoding refers to the process of transforming information into a format that can be stored in the brain, while storage is the preservation of that information over time. Retrieval is the act of accessing and recalling stored information when needed.

Forgetting is a natural part of memory processes and can occur due to factors like decay, interference, and retrieval failure. Decay is the gradual fading of memories over time, while interference involves new information disrupting the recall of older memories. Retrieval failure happens when we are unable to access certain memories, even if they still exist in our brains.

In summary, Crash Course Psychology #14 explores the complex processes of remembering and forgetting, highlighting key concepts such as encoding, storage, retrieval, decay, interference, and retrieval failure.

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In SI units, the needed power for the air conditioner under these operating circumstances is most closely 69.3 kW.

The power required for a Carnot engine operating as an air conditioner is given by the formula

[tex]P = \frac{Q_H}{\eta },[/tex]

where [tex]Q_H[/tex] is the rate of heat removed from the house, and η is the Carnot efficiency. The Carnot efficiency is given by the formula,

[tex]\eta =\frac{ 1 - T_C}{T_H}[/tex]

where [tex]T_C[/tex] is the cold reservoir temperature (293 K) and [tex]T_H[/tex]is the hot reservoir temperature (369 K).

Thus, the power required for the air conditioner is given by:

[tex]P = \frac{14 kJ/s }{(\frac{1 - 293 K}{369 K}) }\\=\frac{ 14 kJ/s }{ (1 - 0.798) }\\[/tex]

[tex]= \frac{14 kJ/s }{ 0.202 }\\P= 69.3 kW.[/tex]

Therefore, the power required for the air conditioner under these operating conditions, in SI units, is closest to 69.3 kW.

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Answer:

We can use the electric field equation to find the electric field at the origin due to each point charge, and then add them vectorially to find the total electric field. The electric field due to a point charge is given by:

Explanation:

E = k * q / r^2

where k is Coulomb's constant, q is the magnitude of the point charge, and r is the distance from the charge to the point where we want to find the electric field.

A) Both charges are positive. The electric field at the origin due to charge A is:

E_A = k * q_A / r_A^2

where q_A is the magnitude of charge A, r_A is the distance from A to the origin, and we have:

q_A > 0

r_A = 3.00 cm = 0.03 m

The electric field at the origin due to charge B is:

E_B = k * q_B / r_B^2

where q_B = 2 * q_A is the magnitude of charge B, r_B is the distance from B to the origin, and we have:

q_B > 0

r_B = 5.00 cm = 0.05 m

Using Coulomb's constant k = 9.00 x 10^9 N*m^2/C^2, we get:

E_A = (9.00 x 10^9 Nm^2/C^2) * q_A / r_A^2

E_A = (9.00 x 10^9 Nm^2/C^2) * q_A / (0.03 m)^2

E_A = 1.00 x 10^12 q_A N/C

E_B = (9.00 x 10^9 Nm^2/C^2) * q_B / r_B^2

E_B = (9.00 x 10^9 Nm^2/C^2) * 2q_A / (0.05 m)^2

E_B = 7.20 x 10^11 q_A N/C

The total electric field at the origin is the vector sum of E_A and E_B. Since the charges are on the x-axis and the origin is also on the x-axis, the total electric field will be along the x-axis. Therefore, we only need to add the magnitudes of E_A and E_B to get the total electric field:

E_total = |E_A| + |E_B|

E_total = 1.00 x 10^12 q_A N/C + 7.20 x 10^11 q_A N/C

E_total = 1.72 x 10^12 q_A N/C

Substituting q_A = 2800 N/C * (0.01 m)^2 / (9.00 x 10^9 N*m^2/C^2) = 3.11 x 10^-6 C, we get:

E_total = 5.39 N/C

Therefore, the magnitude of the total electric field at the origin is 5.39 N/C, and it is directed along the positive x-axis.

B) Both charges are negative. The only difference from part A is that the charges now have negative signs, so we have:

q_A < 0

q_B = -2 * |q_A| = -2q_A < 0

Substituting these signs into the equations for E_A and E_B, we get:

E_A = -1.00 x 10^12 |q_A| N/C

E_B = -7.20 x 10^11 |q_A| N/C

The total electric field at

not sure if this solves your answer but hope it somewhat helps.

The satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.

An object's speed can be defined as how quickly it is going. It measures how quickly an object travels over time. Typically, speed is measured in terms of time/distance.

The speed of the satellite must first be converted from miles per second to meters per second:

V= 6000 miles per second = 9656 m/s

The orbital radius of the satellite can then be calculated using the centripetal force equation as follows:

Fc = Fg

Gm M / r² = mv² / r

r = G M / v²

where M is the earth's mass.

By entering the specified values, we obtain:

r = (5.97 x 10²⁴ kg) x (6.67 x 10⁻¹¹N m²/kg²)/ (9656 m/s) 

r= 4.22 x 10⁷ meters

Hence, the satellite's height above the surface of the planet is:

height = r - R.

height= (4.22 x 10⁷ m) - (6.378 x 10⁶ m)

height is 3.58 x 10⁷ meters.

Now we can apply the equation for a circular orbit's period:

T = 2π r / v

When we enter the values we just discovered, we obtain:

T = 2π (4.22 x 10⁷ m) / (9656 m/s)

T = 5.56 x 10³ seconds

Hence, the satellite's orbit has a period of about 1.54 hours.

So, the satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.

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The sum tone has a frequency of (Cs+Gs) and the difference tones have frequencies of (Cs-Gs) and (Gs-Cs).

Combination tones are tones that are produced by the interaction of two or more pure tones in the ear or in a resonant system. They are produced by the sum and difference of the frequencies of the pure tones.

The Pythagorean diatonic scale is a tuning system in which the frequency ratios between adjacent notes are based on the ratios of small whole numbers. This scale was used in ancient Greek music and later became the basis for Western music theory.

The Pythagorean tuning system is related to music because it provides a mathematical foundation for the intervals and relationships between musical notes, and has influenced the development of Western music for centuries.

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Answer:

HOPE IT HELPS..........

first of all you need to transform the value of the charge to the SI system which means

-65.1μC = -65.1 × 10^-6 C

then you calculate the force using this formula

F = E / |q|

F = 23648 / 65.1 × 10^-6 N

When a person goes down a skate ramp from a height of 10 m and reaches a maximum height of 8 m on the other side, there is a transfer of energy happening.

What is energy transfer?

Initially, the person has gravitational potential energy due to their position at a height of 10 m. As the person goes down the ramp, this gravitational potential energy is converted into kinetic energy, which is the energy of motion. This is because the person is accelerating as they move down the ramp due to the force of gravity.

As the person reaches the bottom of the ramp, all of their gravitational potential energy has been converted into kinetic energy. At this point, the person's kinetic energy is at its maximum. However, the person's kinetic energy starts to decrease as they move up the other side of the ramp. This is because the person is now moving against the force of gravity and must use their kinetic energy to overcome this force and move upward.

As the person moves up the other side of the ramp, their kinetic energy is gradually converted back into gravitational potential energy. At the maximum height of 8 m on the other side of the ramp, the person's kinetic energy has been fully converted back into gravitational potential energy, and they are once again at their maximum height.

Therefore, the energy of the person is constantly being converted between kinetic energy and gravitational potential energy as they go down the ramp and up the other side. This conversion of energy is due to the force of gravity acting on the person and the changes in their height as they move along the ramp. No energy is lost during this process; it is simply converted from one form to another.

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Complete question is: A person goes down a skate ramp from a height of 10 m and reaches a maximum height of 8 m on the other side, there is a transfer of energy happening.

The magnitude of the net force is 50N, directed to the right. Since there is no friction, the only horizontal force is due to the applied force. The normal force (directed upward) and the force of gravity (directed downward) exactly cancel out.

Applying pressure to a box will cause it to shift. In physical science, the concept of force is essential. Force is expressed in newtons in the metric system. (N). A tiny measure of energy is a newton. 500–1,000 newtons of energy are needed to lift the average person.

A joule is a unit of energy.

With regard to power and distance, the unit of energy is connected. In order to move something one metre with one newton of power, one joule (J) of energy is required. To drag a small book across a table, a joule of energy is roughly equivalent to that required. You can pull harder or for a longer distance if you have more stamina.

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What is the net force on the refrigerator shown to the right?

200 N

1,000 N

50 N

= Fg

1,000 N = F.

b) Calculate the mass of the refrigerator.

c) What is the refrigerator's acceleration?