in a two-slit experiment, monochromatic coherent light of wavelength 600 nm passes through a pair of slits separated by 2.20 x 10-5 m. at what angle away from the centerline does the first bright fringe occur?

The heat given out by the steam in changing to water without change in temperature 880 kJ. and the heat given out by the water as it cools to the temperature of the ice is 0 kJ.

Temperature is a measure of the amount of thermal energy present in a system. It is measured using a thermometer and is typically expressed using the Celsius, Fahrenheit, or Kelvin scales. Temperature affects how substances react and interact, how fast molecules move, and how quickly chemical reactions take place.

1. The heat given out by the steam in changing to water without change in temperature can be calculated using the equation Q = m x L,
where m is the mass of the steam and L is the specific latent heat of vaporization.
As 0.40 kg of water condenses from the steam, the mass of the steam is 0.40 kg.
The specific latent heat of vaporization of water is 2 200 kJ/kg.
Therefore, the heat given out by the steam in changing to water without change in temperature is 0.40 kg x 2 200 kJ/kg = 880 kJ.

2. The heat given out by the water as it cools to the temperature of the ice can be calculated using the equation Q = m x c x ΔT,
where m is the mass of the water,
c is the specific heat capacity of water, and
ΔT is the change in temperature.
The mass of the water is 0.40 kg.
The specific heat capacity of water is 4.2 kJ/(kg K). The change in temperature is 0℃ - 0℃ = 0 K.
Therefore, the heat given out by the water as it cools to the temperature of the ice is 0.40 kg x 4.2 kJ/(kg K) x 0 K = 0 kJ.

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The wavelength of the radio waves is 2.93 meters, which corresponds to option A.

To find the wavelength of a radio wave, we can use the formula:

wavelength = speed of light / frequency

This formula tells us that the wavelength of a radio wave is inversely proportional to its frequency. In other words, if the frequency of a radio wave is high, its wavelength will be shorter, and if its frequency is low, its wavelength will be longer.

In the given question, we are told that a radio station broadcasts signals at a frequency of 102.3 MHz or 1.023 x 10⁸ Hz. We are also given the speed of light in air, which is 2.997 x 10⁸ m/s. Using the above formula, we can calculate the wavelength of these radio waves.

Substituting the values in the formula, we get:

wavelength = 2.997 x 10⁸ m/s / 1.023 x 10⁸ Hz

= 2.93 meters

Option A is correct answer.

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Color perception is determined by wavelengths of light, red, green, and blue make colors for objects that emit light. The color we see for objects not emitting light is based on reflected light. Sunglasses and filters change perceived colors by blocking certain wavelengths of light.

Color perception is a complex phenomenon that involves the interaction between light and objects in our environment. The colors that we see are determined by the wavelengths of photons that are reflected or emitted by objects. When light hits an object, some photons are absorbed while others are reflected, and the reflected photons are what we see as color.

For objects that emit light, such as TVs and computer screens, the colors are created by combining just three primary colors: red, green, and blue. By varying the intensity of these three colors, the screen can create a wide range of hues and shades.

For objects that do not emit light, such as colored paper, the color that we see is determined by the wavelengths of light that are reflected by the object. For example, a red piece of paper appears red because it reflects red light and absorbs other wavelengths.

Filters, such as sunglasses, work by selectively blocking certain wavelengths of light. This changes the colors that we perceive, as some colors are absorbed while others are allowed through.

In summary, color perception is based on the wavelengths of photons reflected or emitted by objects. For objects that emit light, colors are created by combining red, green, and blue.

For objects that do not emit light, the color that we see is determined by the wavelengths of light that are reflected. Filters, such as sunglasses, work by selectively blocking certain wavelengths of light to change the colors that we perceive.

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The new volume of the gas when the temperature is raised to 29°C and the pressure is not changed is approximately :4.73 L. The correct option is A.

To determine the new volume of a gas when its temperature is changed, we can use Charles' Law. Charles' Law states that the volume of a gas is directly proportional to its temperature, provided that the pressure remains constant. Your initial temperature (T1) is 14°C, and the initial volume (V1) is 4.5 L.

The final temperature (T2) is 29°C, and we need to find the new volume (V2). Remember to convert the temperatures from Celsius to Kelvin by adding 273.15 to each value (T1 = 287.15 K, T2 = 302.15 K).

Using Charles' Law, we have:

V1/T1 = V2/T2

Now, we can plug in the values:

(4.5 L)/(287.15 K) = V2/(302.15 K)

To find V2, multiply both sides by 302.15 K:

V2 = (4.5 L x 302.15 K) / 287.15 K

V2 ≈ 4.73 L

The new volume of the gas when the temperature is raised to 29°C and the pressure is not changed is approximately 4.73 L. The correct option is A.

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Complete  question:

A gas has a temperature of 14 °C, and a volume of 4. 5 L. If the temperature is raised to 29 °C and the pressure is not changed, what is the new volume of the gas?

A. 4. 7 L

B. 4. 9 L

C. 5. 3 L

D. 5. 5 L

Plugging these values into the formula, we get: angular acceleration = (1.7 m/s2) / (0.0021 m) = 809.52 rad/s2

The angular acceleration of the yo-yo is 809.52 rad/s2.

Hello! I'd be happy to help you with your question. To find the angular acceleration of the yo-yo, we'll need to use the following relationship: linear acceleration = radius × angular acceleration.

Given that the yo-yo has a center shaft radius of 0.21 cm (0.0021 m) and a linear acceleration of 1.7 m/s², we can rearrange the formula to find the angular acceleration:

angular acceleration = linear acceleration / radius

Angular acceleration = (1.7 m/s²) / (0.0021 m)

By calculating this, we get:

Angular acceleration ≈ 809.52 rad/s²

So, the angular acceleration of the yo-yo is approximately 809.52 rad/s².

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The most likely reason for not seeing the Power Pivot tab is that the add-in is not enabled in Excel.

By default, the Power Pivot add-in is not enabled in Excel, and it needs to be enabled manually.

To enable the Power Pivot add-in, go to the File tab in Excel, select Options, and then select Add-Ins. In the Manage box, select COM Add-ins, and then select Go.

In the COM Add-Ins dialog box, select Microsoft Power Pivot for Excel, and then select OK.

After enabling the add-in, the Power Pivot tab should now be visible in Excel.

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The speed of the wave is 16 m/s. And the right option is B. 16 m/s.

Speed is the rate of change of displacement.

To calculate the speed of the wave, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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If a cannonball were launched from the surface of Earth at an even faster speed: its motion would be significantly impacted.

As the cannonball's speed increases, it would move forward more quickly, causing the rate at which it falls towards the ground to be countered by its horizontal motion. If the cannonball reaches a critical speed known as the "orbital velocity," it will enter a stable orbit around the Earth. In this state, the cannonball's forward motion will balance the force of gravity, preventing it from falling back to the ground.

Instead, it will continuously travel around the Earth in a circular or elliptical path. If the cannonball were to be launched at an even higher speed, beyond the escape velocity, it would eventually break free from Earth's gravitational pull and continue moving away from our planet, potentially entering into an orbit around another celestial body or traveling through space indefinitely.

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Answer:

The magnets are surrounded by an invisible magnetic field that contains stored-up, or potential, energy. When attempting to push two like-sided poles together, the stored-up energy becomes movement, or kinetic energy, and forces them apart. The same principle happens when two unlike poles come together.

In the radioactive decay of tritium (hydrogen-3) to helium-3, a beta particle is involved to ensure that the total numbers of neutrons and protons remain unchanged.

The decay can be represented by the following equation:

¹H₃ (tritium) → ²He₃ (helium-3) + β⁻ (beta particle)

In this process, one neutron from tritium is converted into a proton, forming helium-3, and a beta particle (electron) is emitted to conserve the total number of neutrons and protons.

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The charge that passes through the body during a 10-minute electrophoresis procedure with a current of: 8 mA is 4.8 Coulombs, and the current density value with an electrode area of 150x180 cm² is approximately 0.296 A/m².

The delivery of medicines to a specific organ or tissue in the human body using a direct current is known as electrophoresis. In this case, two oppositely charged plates are applied to the body.

(a) To find the charge that passes through the body during a 10-minute electrophoresis procedure with a current of 8 mA, you can use the formula: Charge (Q) = Current (I) × Time (t). Since the current is given in milliamperes (mA), you'll need to convert it to amperes (A) by dividing by 1,000: 8 mA / 1,000 = 0.008 A.

The time is given in minutes, so convert it to seconds: 10 minutes × 60 seconds/minute = 600 seconds. Now, you can find the charge: Q = 0.008 A × 600 s = 4.8 Coulombs.

(b) To find the current density, you'll need to use the formula: Current Density (J) = Current (I) / Area (A). The electrode area is given as 150 x 180 cm², so you need to convert it to square meters: (150 x 180 cm²) / (10,000 cm²/m²) = 0.027 m². Now you can find the current density: J = 0.008 A / 0.027 m² ≈ 0.296 A/m².

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On March 4th, 2022, a significant event occurred involving the moon. A spent rocket booster collided with the lunar surface at a velocity of 6000 mph (miles per hour). The impact of such a collision would have caused a substantial release of energy, resulting in a dramatic event on the moon's surface.

The collision would have caused a powerful explosion, resulting in a crater formation and the ejection of debris in various directions. The size and characteristics of the crater would depend on the mass and velocity of the rocket booster, as well as the composition of the lunar surface.

This event could have significant implications for lunar research and exploration. Scientists and astronomers would be keen to study the impact site and analyze the resulting crater's size, shape, and composition. The study of such impacts provides valuable insights into the moon's geology, surface dynamics, and potential resources.

Furthermore, the event could potentially affect ongoing lunar missions and future plans for lunar exploration. It would serve as a reminder of the need for careful consideration and planning to avoid potential collisions with space debris in order to protect both human-made assets and the natural features of celestial bodies like the moon.

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The compressibility of a bone is dependent on its material properties and geometry. If the first bone was compressed by 1.0 mm, the second bone will be compressed by 2.0 mm. Answer is 2.0 mm.

Since the second bone has the same cross-sectional area but twice the length as the first, it has twice the volume. Therefore, it would be expected to compress twice as much as the first bone, or 2.0 mm.
Hi! When considering the compression of a bone, we can use Hooke's Law, which states that the deformation (compression) is directly proportional to the applied force and inversely proportional to the material's stiffness.

For the second bone with twice the length, the same force will cause a greater deformation since the stiffness will be lower. Given that the cross-sectional area is the same, the second bone will be compressed by twice the amount of the first bone.

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You would have to travel to a latitude of approximately 80.5 degrees north of the equator (or south, depending on your hemisphere) to see the noontime sun at your zenith on October 3rd.

To see the noontime sun at your zenith on October 3rd (or any other date), you would have to be located at a latitude equal to the complement of the Sun's declination on that date. The declination is the angle between the plane of the Earth's equator and the line connecting the Earth to the Sun, and it varies throughout the year due to the tilt of the Earth's axis of rotation.

On October 3rd, the Sun's declination is approximately 9.5 degrees south of the equator. To find the latitude at which the noontime Sun would be directly overhead, we take the complement of this declination, which is:

90 degrees - 9.5 degrees = 80.5 degrees

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If the entire wire is reshaped from a two turn circle to a one-turn circle in 0.109 s , the magnitude of the induced EMF is 0.626 V.

When a wire loop is moved in a magnetic field, a current is induced in the wire due to Faraday's law of electromagnetic induction. The magnitude of the induced EMF (voltage) is given by the equation:

E = -N(dΦ/dt)

where E is the induced EMF, N is the number of turns in the loop, and dΦ/dt is the rate of change of the magnetic flux through the loop.

In this case, the wire loop has two turns and is initially circular, with a radius of 0.301 m. The magnetic field has a magnitude of 0.169 T and is perpendicular to the plane of the wire loop.

When the wire loop is reshaped to a one-turn circle, the flux through the loop changes. The new flux through the loop is given by:

Φ = B*A

where B is the magnetic field, and A is the area of the loop.

For a circular loop, the area is given by:

A = πr^2

where r is the radius of the loop. Thus, the new flux through the loop is:

Φ = Bπr^2

When the loop is reshaped, the radius changes from 0.301 m to 0.151 m. Thus, the new flux through the loop is:

Φ = (0.169 T)(π(0.151 m)^2) = 0.0342 Wb

The rate of change of the flux is given by:

(dΦ/dt) = ΔΦ/Δt

where ΔΦ is the change in flux and Δt is the time taken for the loop to be reshaped (0.109 s). Thus,

(dΦ/dt) = (0.0342 Wb)/(0.109 s) = 0.313 V/s

Since the wire loop has two turns, the induced EMF is:

E = -N(dΦ/dt) = -(2)(0.313 V/s) = -0.626 V

The negative sign indicates that the induced current flows in a direction that opposes the change in flux.

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There are 0.486 grams of magnesium in 0.02 moles of magnesium.

To calculate the grams of magnesium, you multiply the given moles (0.02 mol) by the molar mass (24.3 g/mol):

0.02 mol Mg × 24.3 g/mol Mg = 0.486 g Mg

Therefore, there are 0.486 grams of magnesium in 0.02 moles of magnesium.

It's important to note that molar mass allows us to convert between moles and grams. By multiplying the number of moles by the molar mass, we can determine the mass of the substance in grams.

This conversion is commonly used in chemistry to relate the quantity of a substance in moles to its corresponding mass in grams.

In this case, by multiplying the given moles (0.02 mol) of magnesium by the molar mass of magnesium (24.3 g/mol), we obtain the mass of magnesium in grams (0.486 g).

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The volume of the 400g bag of flour is 666.67 cm^3.

This question asks for the calculation of the volume of a 400g bag of flour with a density of 0.6 g/cm^3. The density of a material is defined as its mass per unit volume, and can be expressed mathematically as:

density = mass/volume.

Rearranging the equation to solve for volume, we get:

volume = mass/density.

Substituting the given values, we get:

Volume = 400 g / 0.6 g/cm^3

Solving for the volume, we get:

Volume = 666.67 cm^3
Volume = 400g / 0.6 g/cm^3, which simplifies to 666.67 cm^3.
Therefore, the volume of the 400g bag of flour is 666.67 cm^3.

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--The complete Question is, If a 400g bag of flour has a density of 0.6 g/cm^3, what is its volume in cm^3? --

The time that is taken for the radio signal to travel is 5 * 10^-7 s.

The period of a wave is the time it takes for one complete cycle of the wave to pass a given point. In other words, it is the time it takes for the wave to repeat itself. The period is usually denoted by the symbol T and is measured in units of time, such as seconds (s).

We know that the period of the wave is the inverse of the frequency of the wave. We are asked here to find the time taken for the the radio signal to travel from Earth to the spaceship.

Thus we have;

T = f-1

T = 1/2.00 × 10^6

T = 5 * 10^-7 s

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The force of gravity will be greater if one object has a larger mass than the other.

Gravity is the force of attraction between two objects with mass. According to Newton's law of gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

F = G * (m₁ * m₂) / d²

where:

F = force of gravity

G = gravitational constant (a universal constant)

m₁, m₂ = masses of the two objects

d = distance between the two objects

As we can see from the formula, the force of gravity is directly proportional to the masses of the two objects. Therefore, if one object has a larger mass than the other, the force of gravity between them will be greater.

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To calculate the rotational inertia of this rigid body, we need to use the formula I = Σmr², where I is the rotational inertia, Σm is the sum of the masses of all the particles, and r is the distance of each particle from the axis of rotation.

For part b, the axis of rotation passes through the midpoint of one of the sides and is perpendicular to the plane of the square. This means that the distance of each particle from the axis of rotation is the same, which is the half of the diagonal of the square, given by d/2 = 2.415 m. Thus, the rotational inertia can be calculated as I = 4m(2.415)² = 44.2 kg·m².

For part c, the axis of rotation lies in the plane of the square and passes through two diagonally opposite particles. This means that we need to find the distance of the other two particles from the axis of rotation, which can be calculated using the Pythagorean theorem. The diagonal of the square is given by d = 4.30 m, so the distance of each particle from the axis of rotation is √((d/2)² + (d/2)²) = 3.04 m. Thus, the rotational inertia can be calculated as I = 2m(3.04)² + 2m(2.415)² = 76.8 kg·m².

In summary, the rotational inertia of this rigid body depends on the distribution of the particles and the axis of rotation. For a uniform distribution of particles, the rotational inertia can be calculated using the formula I = Σmr². For part b, where the axis of rotation passes through the midpoint of one of the sides and is perpendicular to the plane of the square, the rotational inertia is 44.2 kg·m².

For part c, where the axis of rotation lies in the plane of the square and passes through two diagonally opposite particles, the rotational inertia is 76.8 kg·m².

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The correct answer is option C. Chemical.

A chemical reaction is a process in which chemical bonds between atoms are broken and reformed, resulting in the creation of new substances with different properties from the original ones. During a chemical reaction, the atoms of the reactant molecules rearrange themselves to form new products, which can have different physical and chemical properties than the original substances.

Chemical reactions can be classified into different types based on the nature of the reactants and the products formed. For instance, a synthesis reaction is a type of chemical reaction in which two or more substances combine to form a more complex compound, while a decomposition reaction is a reaction in which a compound is broken down into simpler substances.

Chemical reactions are fundamental to many natural and industrial processes, from the production of fuels and materials to the metabolism of living organisms. Understanding the mechanisms and properties of chemical reactions is crucial for many fields of science, including chemistry, biochemistry, and materials science.

In conclusion, a chemical reaction is a process in which substances change to other substances as chemical bonds break and reform. It is a fundamental concept in chemistry and has important applications in many scientific and industrial fields.

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We have detected planets in the habitable zone s not evidence against the discussion of the Fermi Paradox. Option B is correct.

The fp discussion refers to the Fermi Paradox, which is the apparent contradiction between the high probability of the existence of extraterrestrial civilizations and the lack of evidence for, or contact with, such civilizations. The presence of exoplanets in the habitable zone is actually evidence supporting the discussion of the Fermi Paradox, which asks why we haven't detected any signs of intelligent extraterrestrial life despite the high probability of its existence.

As the inability to observe exoplanets around most stars does not necessarily imply a contradiction with the Fermi Paradox. In fact, this limitation can be accounted for by understanding our observational capabilities and taking into account non-detections in our analysis. Option B is correct.

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momentum = 400 kg⋅m/s

we know that the relation between momentum, velocity, and mass is

P = mv

where p is the momentum

m is mass

v is velocity

now putting values we get,

P = 80x5

  = 400 kg⋅m/s

Answer:

Your tortilla would weigh 75 grams total.

Explanation:

55 grams of flour + 20 grams of water = 75 grams total

The tortilla should have a mass of 75 grams.

A mixture is a combination of two or more substances that are not chemically bonded and can be separated by physical means. In a mixture, each substance retains its own chemical identity and properties. The properties of a mixture can vary depending on the relative amounts of the substances that are mixed together.

There are two main types of mixtures: homogeneous and heterogeneous.

1. Homogeneous mixtures: These are also called solutions, and they have a uniform composition throughout. The components of a homogeneous mixture are not visible to the bare eye and cannot be separated by simple mechanical means. Examples of homogeneous mixtures include salt water, sugar in water, and air.

2. Heterogeneous mixtures: These are mixtures that do not have a uniform composition throughout. The components of a heterogeneous mixture are visible to the bare eye, and they can be separated by mechanical means such as filtration, sedimentation, or decantation. Examples of heterogeneous mixtures include a mixture of oil and water, a salad, and a mixture of sand and pebbles.

Here in the Question,

The total mass of the tortilla will be the sum of the mass of flour and the mass of water used to make it. So, the tortilla should have a mass of:

55 grams (flour) + 20 grams (water) = 75 grams.

Therefore, the Total mass of the tortilla is 75 Grams.

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The speed of the heavier mass as a function of their separation distance, r, can be expressed using the conservation of energy principle.

As the masses move toward each other due to gravitational attraction, their potential energy decreases and their kinetic energy increases, such that the total energy remains constant.

Therefore, we can write: 1/2 * m1 * [tex]v^{2}[/tex] = G * m1 * m2 / r

where m1 is the mass of the heavier object, m2 is the mass of the lighter object, v is the velocity of m1, r is the separation distance between the two objects, and G is the gravitational constant.

Solving for v, we get:

v = sqrt(2 * G * m2 / r)

This expression shows that as the separation distance r decreases, the velocity v of the heavier object increases due to the increasing gravitational attraction between the two masses.

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The statement that there are no other galaxies in the Universe is completely untrue. Science has shown us that there are countless galaxies in the Universe, each one containing billions of stars, planets, and other celestial bodies. The sheer size of the Universe alone suggests that there must be more galaxies out there.

Our own galaxy, the Milky Way, is just one of many, and we can observe other galaxies through telescopes and other instruments. In fact, astronomers estimate that there may be as many as 2 trillion galaxies in the observable Universe alone.

These galaxies come in many shapes and sizes, and they are spread out across the vast expanse of the Universe. Some are spiral galaxies like the Milky Way, while others are elliptical or irregular in shape. They all contain massive black holes, which play a crucial role in shaping the structure and evolution of the galaxies themselves.

Understanding the presence of other galaxies in the Universe is crucial to our understanding of the origins and evolution of the cosmos. Through ongoing scientific study, we continue to learn more about the structure, dynamics, and properties of these galaxies, shedding new light on the mysteries of the Universe.

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If the current in a circuit is 3. 2 mA and the resistance of the wire used in the circuit is 250 Ω, the voltage of the fuel cell being used in the circuit is 0.8 volts.

To calculate the voltage of the fuel cell being used in a circuit, we can use Ohm's law, which states that the voltage (V) equals the current (I) multiplied by the resistance (R): V = I x R.

In this case, the current is 3.2 mA (milliamperes), and the resistance of the wire used in the circuit is 250 Ω (ohms). We first need to convert the current to amperes by dividing it by 1000: 3.2 mA ÷ 1000 = 0.0032 A.

Next, we can substitute these values into the formula to calculate the voltage: [tex]V = 0.0032 \;A \times 250 \;\Omega = 0.8 \;volts.[/tex]

Therefore, the voltage of the fuel cell being used in the circuit is 0.8 volts.

In summary, to calculate the voltage of a fuel cell being used in a circuit, we can use Ohm's law, which states that voltage equals current multiplied by resistance.

By converting the current from milliamperes to amperes and substituting the values into the formula, we can determine the voltage of the fuel cell in volts.

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The volume of wire can be calculated as follows:

V_wire = πr²l

where r is the radius of the wire, and l is the length of the wire.

Substituting the given values, we get:

V_wire = π(3.0 mm)²(200 m) = 1.8 x 10⁶ mm³

To calculate the radius of the sphere, we need to use the formula for the volume of a sphere:

V_sphere = (4/3)πr³

Equating the volume of the wire to the volume of the sphere, we get:

(4/3)πr³ = 1.8 x 10⁶ mm³

Solving for r, we get:

r = (3V_wire/4π)^(1/3)

r = [(3 x 1.8 x 10⁶)/(4π)]^(1/3)

r ≈ 20.15 m

Therefore, the radius of the sphere is approximately 20.15 meters.

Answer:

The power delivered by Jose when doing push-ups is 25 watts.

Step-by-step explanation:

The power delivered by Jose is:

[tex]\sf\qquad\dashrightarrow Power = \dfrac{Work}{Time}[/tex]

We know that Jose did 50 J of work in 2 seconds, so we can substitute these values into the equation:

[tex]\sf:\implies Power = \dfrac{50\: J}{2\: s}[/tex]

[tex]\sf:\implies \boxed{\bold{\:\:Power = 25\: W\:\:}}\:\:\:\green{\checkmark}[/tex]

Therefore, the power delivered by Jose when doing push-ups is 25 watts.

The number of mole of C that you have, given that that you have 7.77×10²⁴ atoms is 12.90 moles

From the question given above, the following data were obtained:

The number of mole of C can be obtained as illustrated below:

From Avogadro's hypothesis,

6.022×10²³ atoms = 1 mole of C

Therefore,

7.77×10²⁴ atoms = (7.77×10²⁴ atoms 1 mole of C) / 6.022×10²³ atoms

7.77×10²⁴ atoms = 12.90 moles of C

Thus, the number of mole of C is 12.90 moles

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