What is the period of a mass-spring system with the following characteristics?

What Is The Period Of A Mass-spring System With The Following Characteristics?

Answers

Answer 1

the period of a mass-spring system with the  characteristics can be calculated using the formula T = 2π√(m/k), where m is the mass of the object and k is the spring constant. the period of the mass-spring system with the given characteristics is approximately 3.14 seconds.

A mass-spring system has the following characteristics: A spring that is initially stretched or compressed has an oscillatory motion around its equilibrium position. This is referred to as a mass-spring system.The period of the mass-spring system is the time it takes for one complete cycle, including compression and extension. The period is given by the equation

`T = 2π * √(m/k)`,

where T is the period, m is the mass attached to the spring, and k is the spring constant. Let's consider an example to better understand this formula: Suppose a mass of 5 kg is attached to a spring with a spring constant of 20 N/m. What is the period of the system?

T = 2π * √(m/k) = 2π * √(5/20) = 2π * √(1/4) = 2π * (1/2) = π ≈ 3.14s

Therefore, the period of the mass-spring system with the given characteristics is approximately 3.14 seconds.

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Related Questions

You are an electrician working on a house. What type of circuit should you use for the house so that the owners don’t call to complain about their wiring? Why use this circuit?

Answers

Answer: Parallel

Explanation: Parallel because you don’t want all the lights to go out because of one light.

The electrical wiring and safety devices applied have to be perfect for non complainable circuit system  in houses. One thing have to ensure that all the electrical components needs to follow the requirements set by national electrical code.

What are circuits?

Circuits are way for the passage of electrical current which consists of electrical wires and devices such as bulbs, fan etc. The circuit system have to be properly designed so that no overload or short circuit can be occured.

Proper thermal insulations for cables and wires have to be chosen. Moreover, all the electrical components should follow the standard requirements set by local bodies or national electrical code.

Safety devices such as circuit breaker or switches like fuse of standard quality must be applied to protect the devices. Circuit breakers are more better than fuses because they don't need replacements.

Similarly, the selection of wires of cables have to careful and need to check the quality of plastic sheaths on them.

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These waves are traveling at the same speed. Which wave has the highest frequency? A. Wave frequency With line crossing in the middle B. A wave frequency with line crossing in the middle C. A wave frequency with line crossing in the middle D. A wave frequency with line crossing it Reset Next

Answers

These waves are traveling at the same speed.  The wave with the highest frequency is option C, "A wave frequency with line crossing in the middle."

Frequency is a measure of the number of complete cycles or oscillations of a wave that occur in one second. It is typically measured in hertz (Hz). The higher the frequency, the more cycles or oscillations occur per unit of time.In the given question, it is stated that all the waves are traveling at the same speed. This means that the speed of propagation is constant for all the waves. However, the frequency of a wave is independent of its speed.By looking at the options, we notice that all the waves have the same wave pattern with a line crossing in the middle. The difference lies in the spacing between the waves, which corresponds to the frequency.The wave with the highest frequency will have the shortest wavelength and the most closely spaced wave crests. Since option C has the shortest spacing between the wave crests, it indicates a higher frequency compared to the other options.Therefore, based on the given information, option C, "A wave frequency with line crossing in the middle," has the highest frequency among the given choices.Please note that the question does not provide specific frequency values or any other information to determine the exact frequencies of the waves. We can only compare the relative frequencies based on the given visual representation.

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\(help \: me \: pls \: \)
plz..

[tex]help \: me \: pls \: [/tex]plz..

Answers

I believe the answers are like this:

1) A - A
2) C - 10 meters
3) D - 25 meters
4) D - 5 meters to the south
5) A - 0 meters

What order does energy flow: sun prodecer consumer?

Answers

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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The fractional change of reacting mass to energy in a fission reactor is about 0.1%, or 1 part in a thousand. For each kilogram of uranium that is totally fissioned, how much energy is released

Answers

Answer:

9*10^13 J

Explanation:

Given that

mass of the material, m = 0.001 kg

speed of light, c = 3*10^8 m/s

To solve this, we would be adopting Einstein's mass - energy relation...

E = mc²

Where

E = Energy, in joules

m = mass, in kg

c = speed of light, in m/s

E = 0.001 * (3*10^8)²

E = 0.001 * 9*10^16

E = 9*10^13 J

Thus, the total energy released would be 9*10^13 J

A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (8.8 cm)cos[2t/(4.18 s)]. Determine the following.

(a) period of the motion
(b) frequency of the oscillations
Hz
(c) first time the mass is at the position
x = 0
(d) first time the mass is at the site of maximum compression of the spring

Answers

A. The period of the motion is 4.18 s

B. The frequency of the oscillations

Hz is 0.2393 Hz

C. The first time the mass is at the position

x = 0 is 2.09 s

D. The first time the mass is at the site of maximum compression of the spring is 6.27s

How do we determine the values?

a) The period of motion is given by the time it takes for the mass to complete one full oscillation. From the equation given, x = (8.8 cm)cos[2t/(4.18 s)], we can see that the function is in the form x = A cos(ωt + φ). The period of the motion T is given by the reciprocal of the angular frequency ω, which is T = 2π/ω.

In this case, the angular frequency is given by the coefficient of t in the argument of the cosine function, 2t/(4.18 s). So,

T = 2π/(2/(4.18 s)) = 4.18 s

b) The frequency of oscillations, f, is given by the reciprocal of the period, so

f = 1/T = 1/4.18 s^-1 = 0.2393 Hz

c) To find the first time the mass is at the position x = 0, we need to find the value of t when the cosine function is equal to 1.

x = (8.8 cm)cos[2t/(4.18 s)] = 8.8cm * 1 = 8.8cm

so,

cos[2t/(4.18 s)] = 1

t = (4.18 s)/2 = 2.09 s

d) To find the first time the mass is at the site of maximum compression of the spring, we need to find the value of t when the cosine function is equal to -1.

x = (8.8 cm)cos[2t/(4.18 s)] = 8.8cm * (-1) = -8.8cm

so,

cos[2t/(4.18 s)] = -1

t = (4.18 s) + (2.09 s) = 6.27s

It should be noted that the mass will be at the site of maximum compression at t = 6.27s and t = 2.09s + 4.18s = 6.27s + 4.18s = 10.45s and so on.

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How many atoms are in one mole of uranium?
A. 6.02 x 10^-23
B. Avogadro's number
C. 6.02 x 10^24
D. 6,020,000,000,000,000,000,000,000

Answers

Answer:

A

Explanation:

6.02×10^23 hope this helps

According to Avogadro's constant, 1 mole of uranium-235 will contain 6.022×10⁻²³ atoms of uranium-235 (option-A).

What is a mole of uranium?

A mole of any element has an atomic mass on the Periodic Table that is equal to its mass in grams. A mole of uranium weighs 238.03 grams.

The atomic structure of uranium has 92 protons and 92 electrons, as indicated by its atomic number of 92. The nucleus of U-238 contains 146 neutrons, but this number can range from 141 to 146.

12 grams of pure carbon-12 weigh exactly one mole, or 6.022 x 1023 atoms, making one mole equivalent to 12 grams of pure carbon-12. • Avogadro's Number is the quantity of particles included in one mole (6.0221421 x 10⁻²³).

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as the distance between 2 objects increased, the gravitational force between them

Answers

Answer:

Becomes weaker

Explanation:

Hope this helps :)

What is SeaWorld?
What is this
What is that

Answers

SeaWorld is a chain of theme parks and oceanariums that showcase marine life through educational exhibits, live shows, and thrilling rides. While it has faced criticism for its treatment of animals, SeaWorld has made changes to prioritize conservation and phased out its orca breeding program.

SeaWorld is a chain of theme parks and oceanariums that primarily focuses on marine life and entertainment. The company operates various parks across the United States, including SeaWorld parks in Orlando, San Diego, and San Antonio, as well as Busch Gardens parks in Tampa and Williamsburg. SeaWorld offers a combination of educational exhibits, live shows, and thrilling rides, with a special emphasis on marine animals such as dolphins, whales, sea lions, penguins, and sharks.

SeaWorld parks provide visitors with opportunities to observe and interact with marine creatures up close, while also offering educational programs that aim to raise awareness about marine conservation and preservation. The parks feature captivating shows featuring trained animals, where they perform impressive behaviors and stunts, showcasing their intelligence and natural abilities.

Over the years, SeaWorld has faced criticism from animal rights activists and environmentalists, who argue that the captivity and use of marine animals for entertainment purposes is unethical and harmful to the animals' well-being. These concerns have led to significant changes in the company's practices, including the phasing out of its orca breeding program and the introduction of more educational and conservation-focused initiatives.

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Iu Metallic bonding is similar to iconic bonding because

Answers

Answer:

In an ionic bond the valence electrons are transferred from the metal

Explanation:

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion:

s = 4/t^2, where t is measured in seconds.

Required:
Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3.

Answers

Answer:

At \(t = 1\; \rm s\), the particle should have a velocity of \(-8\; \rm m \cdot s^{-1}\).At \(t = 2\; \rm s\), the particle should have a velocity of \(-1\; \rm m \cdot s^{-1}\).At \(t = 3\; \rm s\), the particle should have a velocity of \(\displaystyle -\frac{8}{27}\; \rm m \cdot s^{-1}\).

For \(a > 0\), at \(t = a \; \text{second}\), the particle should have a velocity of \(\displaystyle -\frac{8}{a^3}\; \rm m \cdot s^{-1}\).

Explanation:

Differentiate the displacement of an object (with respect to time) to find the object's velocity.

Note that the in this question, the expression for displacement is undefined (and not differentiable) when \(t\) is equal to zero. For \(t > 0\):

\(\begin{aligned}v &= \frac{\rm d}{{\rm d}t}\, [s] = \frac{\rm d}{{\rm d}t}\, \left[\frac{4}{t^2}\right] \\ &= \frac{\rm d}{{\rm d}t}\, \left[4\, t^{-2}\right] = 4\, \left((-2)\, t^{-3}\right) = -8\, t^{-3} =-\frac{8}{t^3}\end{aligned}\).

This expression can then be evaluated at \(t = 1\), \(t = 2\), and \(t = 3\) to obtain the required results.

given the two displacement vector D ( 6i+3j-k) and vector E( 4i-5j+3k) what is the magnitude of displacement. 2D-E​

Answers

Answer:

The magnitude of displacement vector 2D-E is approximately 14.49 units. The calculation is done using the Pythagorean theorem after finding 2D-E by multiplying vector D by 2 and subtracting vector E.

Explanation:

The value of 2D-E must first be calculated in order to ascertain the displacement 2D-E's magnitude. Vector D may be multiplied by two to accomplish this, and the result can be obtained by deducting vector E:

2D-E = 2(6i + 3j - k) 4i + 5j + 3k = 8i + 11j - 5k - (4i - 5j + 3k) = 12i + 6j - 2k

We can use the Pythagorean theorem to determine the magnitude of the displacement vector now that we know it:

|2D-E| = √(8² + 11² + (-5)²) = √(64 + 121 + 25) = √210 ≈ 14.49

The displacement 2D-E magnitude is therefore 14.49 units or such. From the object's beginning location to its ultimate position, the displacement's entire length is shown by this. Being a scalar variable, the displacement's magnitude does not reveal the displacement's direction.

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The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?​

Answers

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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I NEED BY JAN 4!!!!!!
Research what is known about Earth’s magnetic field. Begin by looking for images and credible sites on the Internet or refer to some books in a library. Answer the following questions:

What is the approximate size of Earth’s magnetic field?
Where are Earth’s magnetic poles?
Where is the magnet that causes Earth’s magnetic field located? What is this magnet made of?
Does Earth’s magnetic field move?

Answers

The earth has a magnetic field. It is much like a bar magnet. Imagine a gigantic bar magnet inside the Earth. But there is no giant magnet inside it.

To have a pretty good idea what earth's magnetic field is shaped like we imagine a bar magnet inside the earth.

The magnetic field is made by the motion of molten iron in earth's outer core.  The swirling motion of molten iron changes all the time. Therefore, the magnetic fields will also get change. Then, the magnet poles also move.

The North pole and the south pole are two geographic poles of earth.  These poles are the places on the earth's surface that earth's imaginary spin axis passes through.

There are two magnetic poles of the earth: North magnetic pole and South magnetic pole.

Earth's magnetic field is tilted a little bit. If we imagine that earth's magnetic field is made by a giant bar magnet. Then, the bar magnet would make an with earth's spin axis.

The geographic poles and the magnetic poles are not in the same place.

If we are standing at one magnetic poles then the magnetic field lines would be straight up and down.

Earth's magnetic field is a complex and dynamic phenomenon that is generated by the motion of molten iron in its outer core. The magnetic field extends far beyond the planet and is responsible for protecting Earth from harmful solar radiation and cosmic rays.

What is the approximate size of Earth's magnetic field?

Earth's magnetic field is roughly dipolar in shape, meaning it has two main magnetic poles - north and south - and the field lines emerge from the north and re-enter at the south pole. The magnetic field has a strength of about 25-65 microteslas (μT) at the Earth's surface, and it extends for several tens of thousands of kilometers into space.

2. Where are Earth's magnetic poles?

Earth's magnetic poles are not fixed and are constantly moving due to the complex and dynamic nature of the planet's magnetic field. Currently, the north magnetic pole is located in the Arctic Ocean, close to Canada's Ellesmere Island, and the south magnetic pole is located in the Antarctic Ocean, near the coast of Antarctica.

3. Where is the magnet that causes Earth's magnetic field located? What is this magnet made of?

The magnet that causes Earth's magnetic field is not a physical magnet but rather a result of the motion of molten iron in the Earth's outer core. The outer core is a layer of liquid iron and nickel that surrounds the solid inner core. The motion of this molten iron generates electrical currents, which in turn create a magnetic field.

4. Does Earth's magnetic field move?

Yes, Earth's magnetic field is not static and is constantly changing due to the complex nature of the planet's interior. The magnetic poles are constantly moving and the strength of the magnetic field can vary over time. The magnetic field can also be influenced by external factors such as solar storms and changes in the solar wind. Scientists continue to study Earth's magnetic field to better understand its behavior and how it affects the planet.

Therefore, The magnetic field of the Earth is a complex and dynamic phenomenon caused by the movement of molten iron in its outer core. The magnetic field extends far beyond the planet and is in charge of shielding the planet from harmful solar radiation and cosmic rays.

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Each insulated beaker contains equal amounts of the same fluid. The starting temperature of beaker A was 100.0 degrees Celsius and the starting temperature of beaker B was 0 degrees Celsius. At 5 minutes, the temperature of Beaker A was 82 and the temperature of Beaker B was 18. Assuming no heat was lost, what is the best estimate for the temperature of each beaker at 10 minutes?

Answers

Answer:

Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.

This one is actually right!

How will you determine the direction
of a torque? Explain.​

Answers

You use the right hand rule. With your thumb out and the rest of your fingers curved ( like a thumbs up) curve your fingers to the direction of the torque. The direction your thumbs points at is the direction of the torque

To determine the acceleration of an object moving in a straight line, you must calculate the change in its speed during each unit of?
a. velocity
b. time
c. motion
d. declaration
*giving brainliest!*

Answers

B is the Right Answer. TIME

A train travels 8.81 m/s in a -51.0° direction.
The train accelerates for 2.23 s, changing its
velocity to 9.66 m/s in a 37.0° direction.
What is [delta]x?

A train travels 8.81 m/s in a -51.0 direction.The train accelerates for 2.23 s, changing itsvelocity

Answers

The displacement of the train after 2.23 seconds is 25.4 m.

Resultant velocity of the train

The resultant velocity of the train is calculated as follows;

R² = vi² + vf² - 2vivf cos(θ)

where;

θ is the angle between the velocity = (90 - 51) + 37 = 76⁰

R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)

R² = 129.75

R = √129.75

R = 11.39 m/s

Displacement of the train

The displacement is calculated as follows;

Δx = vt

Δx = 11.39 m/s x 2.23 s

Δx = 25.4 m

Thus, the displacement of the train after 2.23 seconds is 25.4 m.

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In order to increase his gravitational potential energy by an amount equal to his kinetic energy at full speed, how high would such a sprinter need to climb

Answers

Answer:

Hola eres nuevo yo nací en el 2021 del 4 de junio

Spin-offs from the aerospace industry have contributed to Floridas economy and the economy of the United States what is a spinoff

Answers

A spinoff, in the context of the aerospace industry, refers to the transfer of technology or knowledge developed for a specific space or aviation program to other fields or industries.

The technology and knowledge developed for aerospace programs often have applications beyond the aerospace industry, and these applications can lead to the creation of new products, services, and industries.

For example, the development of lightweight, high-strength materials for use in spacecraft can also be applied to other industries such as the automotive, sporting goods, and construction industries. Similarly, the development of advanced computer systems and software for use in spacecraft can be applied to other industries such as healthcare, finance, and telecommunications.

Spinoffs from the aerospace industry have contributed to the economy of Florida and the United States by creating new jobs, new products, and new industries. The transfer of technology and knowledge from the aerospace industry to other fields has also led to advancements in a wide range of areas, from medicine to transportation to telecommunications, that have improved the quality of life for people around the world.

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Express the speed of 60 m per minute in km per hour.​

Answers

Answer:

3.6 kilometres per hour

Explanation:

for an approximate result, divide the speed value by 16.667

60 meters a minute = 3.6 kilo per hour

A pump raises 0.15m3 of water per minute from a well 7.5m deep calculate the power required to drive the pump if it’s only 75% efficient

Answers

Answer:

= 245.25

Explanation:

150 x 7.5 x 9.81 =11036.25ans / 60 =183.9ans / 75 x 100 = 245.25

The magnitude of the electric field due to a point charge object at a distance 4.0 m is 9 N/C. From the same
charged object the electric field of magnitude, 16 N/C will be at a distance of

Answers

The electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.

The magnitude of the electric field due to a point charge object follows the inverse square law, which states that the magnitude of the electric field is inversely proportional to the square of the distance from the charged object. Mathematically, this is expressed as:

\(E = k*q/r^2\)

where E is the electric field, k is Coulomb's constant (\(k = 9 x 10^9 N*m^2/C^2\)), q is the charge of the object, and r is the distance from the object.

We can use this formula to find the distance at which the electric field has a magnitude of 16 N/C. Let's call this distance x:

16 = \(k*q/x^2\)

We can rearrange this equation to solve for x:

x = \(\sqrt(k*q/16)\)

To find q, we need another piece of information. We know that the electric field has a magnitude of 9 N/C at a distance of 4.0 m. Using the same formula as before, we can solve for q:

9 = \(k*q/4^2\)

q = \(9*4^2/k\)

Now we can substitute this value for q into the equation for x:

x =\(\sqrt(k*(9*4^2/k)/16)\)

x =\(\sqrt(9*4^2/16)\)

x = \(\sqrt(36)\)

x = 6.0 meters

Therefore, the electric field of magnitude 16 N/C will be at a distance of 6.0 meters from the charged object.

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A rock group is playing in a bar. Sound
emerging from the door spreads uniformly in
all directions. The intensity level of the music
is 32.2 dB at a distance of 4.99 m from the
door.
At what distance is the music just barely
audible to a person with a normal threshold
of hearing? Disregard absorption.
Answer in units of m.

Answers

Answer:

5292.64 m

Explanation:

Tell me about Susan B. Anthony.

Answers

Answer:

She Had a Criminal Record. In 1872, Anthony registered to vote at a barbershop in Rochester, New York, and cast a ballot in the presidential election.

Explanation:

Please help me with this question.

Please help me with this question.

Answers

With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.

When you increase the number of wire windings in the generator from 5 to 20, the effect on the light bulb will be a brighter illumination. The brightness of the light bulb is directly proportional to the number of windings in the generator.

By increasing the number of windings, you are increasing the amount of wire wrapped around the magnet. This results in a higher number of turns per unit length, leading to an increased magnetic flux passing through the wire coils.

According to Faraday's law of electromagnetic induction, a change in magnetic flux induces an electromotive force (EMF) in a conductor, which in this case is the copper wire. The induced EMF causes electric current to flow through the wire, creating a flow of electrons.

The 30-W light bulb requires a certain amount of electrical power to produce its specified brightness. With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.

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Examine the image and assess the relationship of the atoms shown by

Examine the image and assess the relationship of the atoms shown by

Answers

The reactants in the given chemical equation are methane (CH₄) and oxygen (O₂), while the products are carbon dioxide (CO₂) and water (H₂O).

During a chemical reaction, the atoms of the reactants reorganize to form new compounds in the products. A chemical change is this atomic rearrangement.

What is a change in chemistry?

A chemical change is the transformation of one or more substances into new ones with distinct chemical and physical properties. New substances are created when the original substances' atoms are rearranged and new chemical bonds are formed during a chemical change.

Typically, a transfer of energy in the form of heat, light, or sound occurs in conjunction with this kind of change. Reactions like combustion, oxidation, decomposition, and synthesis are all examples of chemical changes. Physical changes, on the other hand, involve alterations in a substance's physical properties without altering its chemical composition.

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Isaac drops a rubber ball drom height of 2.0m and it bounces to a height of 1.5m. a) What fraction of it's initial energy is lost during the bounce? b)What is the rubber ball's speed just before and just after it bounces? c)Where did the energy go?

Answers

Answer:

a)  ΔE = 25 %

b) v = 8,85 m/s

c) The energy was used against air resistance

Explanation:

In any situation total energy of a body is equal to potential energy plus

kinetic energy, then, just at the moment when Isaac dop the ball the situation is:

Ei = Ep + Ek         where     Ep = m*g*h    and  Ek = 1/2*m*v²

As v = 0  (Isaac drops the ball)

Ei = Ep  =  m*g*h    = 2*m*g

At the end (when the ball bounced to 1,5 m

E₂ = Ep₂  + Ek₂         again at that point  v =0 and

E₂ = 1,5*m*g*

Ei =  E₂ + E(lost)

E(lost) = Ei - E₂

E(lost) = 2*m*g* - 1,5*m*g      and the fraction of energy lost is

E(lost)/Ei

ΔE = (2*m*g* - 1,5*m*g )/ 2*m*g

ΔE = 0,5*m*g / 2*m*g

ΔE = 0,5/2

ΔE = 0,25      or     ΔE = 25 %

b) The speed of the ball is

Potential energy is converted in kinetic energy just when the ball is touching the ground, then

m*g*h = 1/2*m*v²

2*h*g = 1/2 *v²

v² = 4*g*h

v² = 4*2*9,8

v² = 78,4

v = 8,85 m/s

If the impact is an elastic collision, then Ek before and after the impact is the same.

Why is digital forensics important?

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Hi! digital forensics is important because not only does digital forensics allow cyber security organisations to develop technologies that can prevent hackers from accessing devices, websites and networks but can lead businesses in the direction of understanding exactly what data is compromised.

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