a plane is flying 87 m/s north relative to the air. the wind is blowing 196 m/s east relative to the ground. determine the plane's velocity relative to the ground.

It would cost $0.0072 to operate a 90 W light bulb for one day if the cost per kilowatt-hour is $0.08.

To solve this problem using the GRASP method, we need to first determine the energy used by the light bulb, then multiply by the cost per kilowatt-hour to find the cost to operate the bulb.

Gather: We are given the power of the bulb (90 W) and the cost per kilowatt-hour ($0.08).

Relate: We need to convert the power of the bulb to kilowatt-hours, which is the unit of energy used in electricity billing.

1 kilowatt-hour = 1000 watt-hours

So, 90 W = (90/1000) kilowatt-hours = 0.09 kilowatt-hours

Apply: We now have the energy used by the bulb and can calculate the cost to operate the bulb for one day.

Cost = energy x cost per kilowatt-hour = 0.09 kilowatt-hours x $0.08 = $0.0072

So, it would cost $0.0072 to operate a 90 W light bulb for one day if the cost per kilowatt-hour is $0.08.

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The batteries in a remote control aeroplane are typically set up in parallel to maximise the current. Remote controllers with both series and parallel battery configurations may be employed in a number of settings.

The majority of remote controls use AAA and AA batteries. Manufacturers frequently sell these items with subpar, weak zinc carbon batteries that quickly lose their charge. Because the batteries in a TV remote are connected in series, the device will not function if one cell is dead or missing. A battery is a collection of at least two cells. The arrangement of the cells should be such that the positive terminal of one cell is coupled with the negative terminal of the following cell.

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When the ball makes 50 milliseconds of contact with the racquet. The racket applies 600 N of power to the ball.

The equation of impulse, F × Δt = Δp, may be used to determine the force applied to the ball by the racket: F is the force, t is the time the force was delivered (50 ms), and p is the change in momentum of the ball. Calculating the change in momentum is as follows:

Δp = m × ([tex]v_f[/tex] - [tex]v_i[/tex])

where m is the mass of the ball (0.060 kg), [tex]v_f[/tex] is the final velocity of the ball (40 m/s), and [tex]v_i[/tex] is the ball's starting speed (25 m/s). The result of substituting for impulse in the equation is F × 0.050 s = 0.060 kg × (40 m/s - 25 m/s).

When we solve for F, we see that the racket's force on the ball is around 600 N.

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Answer:

Velocity is 10.429 m/s

Explanation:

Assume a car is moving from rest at point A to point B through a distance r.

We know that workdone is product of force and distance moved;

[tex]{ \bf{ \triangle w = f \triangle r}} [/tex]

- Integrating both sides;

[tex] { \bf{ \int \triangle w = f \int^{r_{2}}_{r_{1} } \triangle r}} \\ \\ { \bf{w = (ma) \{r _{2} - r _{1} \}}} \\ \\ { \bf{w = (m \times \frac{ {v}^{2} }{2r}) \times (r) }}[/tex]

The step above comes from Newton's third law, where initial velocity is zero, since car is from rest, and r1 is zero

[tex]{ \bf{w = (m \times \frac{ {v}^{2} }{2}) \times \frac{r}{r} }} \\ \\ { \boxed{ \rm{workdone = \frac{1}{2}m {v}^{2} }}}[/tex]

Therefore;

[tex]{ \rm{85 = \frac{1}{2} \times 16.3 \times {v}^{2} }} \\ \\ { \rm{ {v}^{2} = \frac{2 \times 85}{16.3} }} \\ \\ { \rm{v = \sqrt{( \frac{2 \times 85}{16.3} } )}} \\ \\ { \rm{v = 10.429 \: ms {}^{ - 1} }}[/tex]

Answer:

To determine the temperature inside the freezer, you need to calculate the enthalpy of fusion of the 4g of water that froze. The enthalpy of fusion of water is 334 J/g. Thus, the total enthalpy of fusion of the 4g of water is 334 J/g × 4 g = 1336 J. The total heat gained by the water and aluminium is the enthalpy of fusion of the water plus the heat gained by the aluminium by cooling it in the freezer. Since the heat gained by the aluminium is equal to the heat lost by the water, the temperature inside the freezer can be calculated using the equation Q = mcΔT, where Q is the heat transfer, m is the mass of the aluminium, and ΔT is the change in temperature. Thus, the temperature inside the freezer is 1336 J / (260g × 0.90 J/g°C) = 6.2°C

The voltage applied to a 20 ohm resistor can be calculated using Ohm's Law. Ohm's Law states that the voltage (V) is equal to the current (I) multiplied by the resistance (R), which can be represented by the equation V = IR.

To find the voltage applied to a 20 ohm resistor with a current of 1.5 amps, we simply substitute the values into the equation: V = 1.5 * 20 = 30 Volts. [1]. The result, 30 Volts, is the voltage applied to the 20 ohm resistor when the current through the resistor is 1.5 amps.

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Histology is the study of the microscopic anatomy of cells, tissues, and organs. In histology, several terms are used to describe the different structures and features of an organ. These terms include:

The inside of a hollow organ is referred to as the "lumen."

The center of a solid organ is referred to as the "medulla."

Layers around the medulla are referred to as the "cortex."

A fibrous covering of an organ is referred to as the "capsule."

A ball-shaped structure is referred to as a "follicle."

A gelatinous gooey mixture is referred to as a "colloid."

A tube that carries some substance is referred to as a "duct."

These terms are used to describe and identify the different structures and features of an organ, and are important for understanding the anatomy and function of different organs. Understanding the vocabulary of histology is crucial for students and professionals in the medical field, as it helps in the proper diagnosis and treatment of diseases and disorders.

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The velocity of the second ball after the collision is 8.00 m/s. The velocity of the second ball is the same as the first ball after the collision.

What is the collision?

In physics, collision, which is also known as impact, is the abrupt, forceful coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when coupled, or a falling object and a floor.

Given that the initial velocity of the first ball is u₁ = 8. 00 m/s.

The mass of the ball is m₁ = 4.0 kg.

The final velocity of the first ball is v₁ = 0 m/s

The initial velocity of the second ball is u₂ = 0 m/s.

The mass of the ball is m₂ = 4.0 kg.

The final velocity of the first ball is v₂ = ? m/s

The formula of collision is

m₁u₁+m₂u₂ = m₁v₁+m₂v₂

Now putting the values:

4.0×8.00 + 4.0×0 = 4.0×0 + 4.0×v₂

4.0×8.00 = 4.0×v₂

v₂ = 8.00 m/s

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The statement "they can cross each other" is not a property of electric field lines.

Electric field lines are a graphical representation of the electric field. They are used to visualize the electric field and to understand the behavior of electric charges. Electric field lines originate from positive charges and end on negative charges, representing the direction of the electric field. The electric field is strongest where the lines are closest, meaning that the electric field is stronger in regions where the lines are packed tightly together. This is because the electric field is proportional to the number of lines per unit area. However, electric field lines cannot cross each other. This is because the electric field must always be a continuous and well-defined quantity, and if the lines cross each other, it would be ambiguous as to the direction of the electric field in that region.

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Answer: 72

Explanation: just cuz

The value for work done on the system is -89.32 kJ.

In this case, heat has been absorbed by the system, which means the internal energy of the system has increased. Internal energy is defined as the total energy of a system, including its thermal energy, kinetic energy, and potential energy.

The change in internal energy is given by the equation:

ΔU = Q - W

Where ΔU is the change in internal energy, Q is heat transfer into or out of the system, and W is work done on or by the system.

Given the information that 87.33 kJ of heat has been absorbed and the internal energy is 1,999 J, we can calculate the work done on the system:

ΔU = Q - W

ΔU = 87.33 kJ - W

ΔU = 87.33 kJ - W

ΔU = 87.33 x 10^3 J - W

ΔU = 87,330 J - W

ΔU = 87,330 J - W

ΔU = 1,999 J

87,330 J - W = 1,999 J

W = 87,330 J - 1,999 J

W = 85,331 J

W = 85.33 kJ

So the value for work done on the system is -85.33 kJ. This means that 85.33 kJ of energy has been transferred from outside the system to the system due to a force acting over a distance.

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Define east as the negative direction and west as the positive direction. The false statement is:

a) If a car is traveling east, its acceleration must be eastward.

Acceleration is a change in speed per unit time. This acceleration is a vector quantity that has both magnitude and direction.

Acceleration is also divided into decelerated acceleration and accelerated acceleration.

Acceleration is decelerated which means that the direction of acceleration is opposite to the direction of velocity.

Meanwhile, the acceleration is accelerated, which means the acceleration is in the same direction as the speed.

Acceleration will be negative if the speed of an object can decrease within a certain time interval.

While the acceleration which is positive will increase over a certain time interval.

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The entropy of steam at 45 degrees celsius is [tex]6.744 kj/kgK.[/tex]

This can be calculated from the steam tables, which contain the thermodynamic properties of steam at various pressures and temperatures. It is a thermodynamic property that describes the amount of energy that is unavailable to do work. The entropy is calculated from the enthalpy and temperature of the steam. In this case, the enthalpy of 2100 kJ/kg and the temper

ature of 45 degrees celsius are used to calculate the entropy. The equation used to calculate the entropy is:

[tex]S =\frac{ H}{T}[/tex]

Where S is the entropy, H is the enthalpy and T is the temperature.

Therefore,

[tex]S = \frac{2100}{45}\\ \\ = 46.67 kJ/kgK.[/tex]

Therefore, the entropy of steam at 45 degrees celsius is [tex]6.744 kJ/kgK[/tex]

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complete question:IF the enthalpy of steam at 45 degrees celsius is 2100 kj/kg, what is its entropy in  kj/kgK

Continental collision and volcanic island arc formation are two different geological processes that result in the formation of land masses.

Continental collision:

Occurs when two continents collide and merge into a single landmass

Typically results in the creation of large mountain ranges

Involves the thickening and uplift of the Earth's crust

Often occurs over millions of years

Volcanic island arc formation:

Occurs when magma rises to the Earth's surface through a subduction zone

Typically results in the formation of chain of volcanic islands

Involves the subduction of one tectonic plate beneath another

Often occurs in an oceanic-oceanic or oceanic-continental boundary

In summary, continental collision is the result of two continents colliding and merging into a single landmass, often resulting in large mountain ranges. Volcanic island arc formation is the result of magma rising to the Earth's surface through a subduction zone, often resulting in a chain of volcanic islands.

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The speed of the proton when it is accelerated from rest through a potential difference is 3.39 x 10⁵ m/s.

The speed of the proton is calculated by applying the following equation as  shown below.

eV = ¹/₂mv²

mv² = 2eV

v² = ( 2eV ) / ( m )

v = √ [ ( 2eV ) / ( m ) ]

where;

v = √ [ ( 2 x 1.6 x 10⁻¹⁹ x 600 ) / ( 1.67 x 10⁻²⁷ ) ]

v = 3.39 x 10⁵ m/s

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The transmission of electrons from one item to another occurs during rubbing. When electrons are transferred from a body, that body loses electrons and gains a positive charge.

What happens when rubbing charges an object?

Friction is the movement of electrons between two things when they are brushed against one another. When a thing loses an electron, it becomes positively charged; when it gains an electron, it becomes negatively charged.

What is electron transmission?

A technique used to examine the features of incredibly small objects is transmission electron microscopy (TEM). A scientist can see features like structure and morphology using the technology, which involves an accelerated electron beam that passes through a very thin specimen.  

                                  The primary distinction between SEM and TEM is that the former produces images by detecting reflected or knocked-off electrons, whereas the latter produces images by using transmitted electrons (electrons that are traveling through the material).

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The following will happen if we looked at a smooth tabletop with a powerful magnifier:

A thin layer of moisture on the surface makes it somewhat 'sticky'

Hence, option (a) is the correct choice.

If you looked at a smooth tabletop with a powerful magnifier, you would likely see very small bumps and grooves on the surface.

These small imperfections in the surface can cause a frictional force to be produced when a block slides across it.

The frictional force is due to the interaction between the small bumps and grooves in the surface and the surface of the block.

The bumps and grooves can create small points of contact between the two surfaces, which resist the motion of the block and produce a frictional force.

This is similar to the way that the sticky notes in the analogy produce a frictional force by sticking to each other.

The small imperfections in the surface can be thought of as the 'stickiness' in the analogy.

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The relationship between charge, number of electrons, and charge per electron, we can calculate the number of excess electrons on the sphere. In this case, the calculation shows that there are [tex]3 x 10^18[/tex] excess electrons on the sphere.

The number of excess electrons on the sphere can be calculated as follows:

charge = number of electrons * charge per electron

Rearranging this equation and substituting the given values:

number of electrons = charge / charge per electron = [tex]-4.8 x 10^-17 C / (1.6 x 10^-19 C/electron) = -3 x 10^18[/tex] electrons

Since the sphere has a net charge of [tex]-4.8 x 10^-17 C[/tex], there are[tex]3 x 10^18[/tex]excess electrons on the sphere.

A sphere is a three-dimensional object with a uniform distribution of charge. The total charge on the sphere is determined by the number of electrons it contains and their individual charges. In this case, the sphere has a net charge of [tex]-4.8 x 10^-17 C[/tex], meaning that it has an excess of electrons compared to protons.

The charge per electron is a constant value, equal to[tex]1.6 x 10^-19 C[/tex]. This means that for every electron, there is a charge of [tex]1.6 x 10^-19 C[/tex]associated with it.

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1500 meters is approximately equivalent to 1.5 kilometres or 4,921 feet.

We can convert 1500 metres into kilometres by:

1 km = 1000 metres

Therefore, 1500/1000 = 1.5 kilometres

The SI unit (International System of Units) is the world's most widely used system of measurement. It is a decimal system of units and is based on seven base units for seven base quantities.

The seven base units of the SI system are meter (m) for length, kilogram (kg) for mass, second (s) for time, mole (mol) for the amount of substance, kelvin (K) for temperature, ampere for current and for luminous intensity candela (cd).

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1500 meters is equivalent to approximately 0.93 miles or 1.5 kilometer.

Kilometer (km) is a unit of length in the metric system, equal to one thousand meters (1,000 m). It is often used to measure the distance between two locations, such as the length of a road or the distance between two cities. Kilometers are also used to measure the speed of an object or vehicle, usually in kilometers per hour (km/h). For example, the maximum speed limit on some highways in the United States is 65 miles per hour (mph), which is equal to 104.6 kilometers per hour (km/h). Kilometers are also used to measure the size of a country, such as the total area of the United States, which is approximately 9.8 million square kilometers.

To convert from meters to miles, divide the number of meters by 1609. To convert from meters to kilometers, divide the number of meters by 1000.

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After 30.15 sec the stage-two firing will it take for the rocket to fall back to the launch pad.

What is projectile motion?

When a particle is thrown obliquely close to the Earth's surface, it travels along a curved path while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.

In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s² upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the velocity of the rocket to 132.5 m/s upward at 35.0 s after launch.

The formula is

s = ut + 1/2at²

In the initial stage, the velocity is zero, acceleration is a = 3.50 m/s², t = 25 sec.

s = 0 ×25+ 1/2× 3.50 × 25²

s = 1,093.75 m

In the next stage, the initial velocity is 132.5 m/s and at the highest point the velocity is 0 m/s and acceleration is a = -9.8 m/s

v² - u² =2as

0² - 132.5² = 2 × (-9.8) × s

s = 895.73

The maximum height of the rocket is 1,093.75 +  895.73 = 1989.48 m

When the rocket is fall the initial velocity is u = 0 m/s, acceleration a = -9.8 m/s, s =  1989.48 m

s = ut + 1/2at²

1989.48 = 0× t + 1/2 ×9.8× t²

t² = 406.01

t = 20.15 s

The total time is  10 + 20.15 s =30.15 s

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Complete question:

In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s2 upward. At 25.0 s after launch, the second stage fires for 10.0 s, which boosts the rocket's velocity to 132.5 m/s upward at 35.0 s after launch. This firing uses up all the fuel, however, so after the second stage has finished firing, the only force acting on the rocket is gravity. Air resistance can be neglected.

How much time after the stage-two firing will it take for the rocket to fall back to the launch pad?

Speed of river = 1.6 km/h

Speed of river = (4 km - 1 km) / Time

Time = (4 km + 1 km) / 2 km/h

Time = 5/2 hours = 2.5 hours

Speed of river = (4 km - 1 km) / 2.5 hours

Speed of river = 1.6 km/h

What is speed?

Speed is a measure of how quickly an object is moving. It is the rate of change in the object's position over a period of time. It is usually measured in units such as meters per second, kilometers per hour, or miles per hour. Speed is a scalar quantity, meaning it only requires a magnitude to describe it. It is different from velocity, which is a vector quantity, meaning it requires both a magnitude and a direction to describe it. Speed affects the time it takes to travel a given distance, and is also a factor in acceleration and deceleration. Speed is a fundamental concept in physics, and is used to calculate the kinetic energy of an object.

Therefore, Speed of river = 1.6 km/h

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The woman has a volume of approximately 0.05404 m3, which is primarily made up of water.

The conversion factor between pounds and kilograms is 1 pound = 0.45359237 kilograms. So, to convert the weight of the woman from pounds to kilograms, we can use the following calculation:

119 pounds * 0.45359237 kilograms/pound = 54.04 kilograms

The density of water is 1000 kg/m3, which means that a volume of 1 m3 of water weighs 1000 kilograms. To calculate the volume of the woman, we can divide her mass by the density of water:

Volume = Mass / Density = 54.04 kilograms / 1000 kg/m3 = 0.05404 m3.

So, the woman has a volume of approximately 0.05404 m3, which is primarily made up of water.

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Therefore, the total charge entering the element at its upper terminal is 10^6 t^2 microcoulombs, where t is the time interval.

An element is a chemical substance that is made up of a single type of atom. All elements are organized on the periodic table, and each element is given a unique atomic number that is used to identify it. Elements can combine to form compounds, which contain two or more different types of atoms. Compounds are the building blocks of all matter in the universe.

The total charge entering the element at its upper terminal is the area under the current-time curve for t>=0.

The current-time curve for t>=0 is a linear line with a slope of 20e-5000 A/s. Therefore, the total charge entering the element at its upper terminal is the area of a triangle with base and height equal to the time interval t and the current i, respectively.

The total charge in microcoulombs is given by:

Q = (1/2) (t)(20e-5000t) x 10^6 = 10^6 t^2.

Therefore, the total charge entering the element at its upper terminal is 10^6 t^2 microcoulombs, where t is the time interval.

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3rd class with RA of 20 and FA of 10 levers would be best to use to move a specific object if your only objective was speed of the object's movement.

Speed, which is a scalar quantity, is the "speed at which an object is moving." The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time.

Miles per hour (mph), kilometres per hour (km/h), and metres per second (m/s) are the three most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed equals distance x time is the speed equation. The metre per second, abbreviated as m/s or ms-1, is the SI unit of speed.

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NOTE: The given question is incomplete on the portal. Here is the complete question.

QUESTION: Which of the following levers would be best to use to move a specific object if your only objective was speed of the object's movement?

A. 1st class with RA of 10 and FA of 20

B. 2nd class with RA of 10 and FA of 20

C. 3rd class with RA of 20 and FA of 10

D. each would be just as effective as the others

It takes the moon about a month to orbit the Earth. We would experience two eclipses each month if the moon's orbit was in the same plane as the ecliptic, which is Earth's orbital plane. Thus, option C is correct.

At every full moon, the moon would be eclipsed. About a week later, there would be a solar eclipse with the new moon as well, bringing the yearly total of eclipses to at least 24.

But it doesn't, and the reason is that by around 5 degrees, the moon's orbit around Earth is inclined to that of the Earth around the sun.

Doesn't the fact that a new moon happens when the moon is between the earth and the sun also imply that a solar eclipse will occur somewhere on Earth.

Therefore, The orbital plane of the Moon is tilted slightly (by about 5 degrees) to the ecliptic plane.

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The given question is incomplete. The complete question is given below:

All the following statements are true. Which one explains the reason that there is not a solar eclipse at every new moon?

A.) The Moon is only about 1/4 as large as Earth in diameter.

B.) The Moon goes through a complete cycle of phases about every 29 1/2 days.

C.) The orbital plane of the Moon is tilted slightly (by about 5 degrees) to the ecliptic plane.

D.) The nodes of the moon's orbit precess with an 18-year period.

It takes the moon about a month to orbit the Earth. We would experience two eclipses each month if the moon's orbit was in the same plane as the ecliptic, which is Earth's orbital plane. Thus, option C is correct.

At every full moon, the moon would be eclipsed. About a week later, there would be a solar eclipse with the new moon as well, bringing the yearly total of eclipses to at least 24.

But it doesn't, and the reason is that by around 5 degrees, the moon's orbit around Earth is inclined to that of the Earth around the sun.

Doesn't the fact that a new moon happens when the moon is between the earth and the sun also imply that a solar eclipse will occur somewhere on Earth.

Therefore, The orbital plane of the Moon is tilted slightly (by about 5 degrees) to the ecliptic plane.

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The given question is incomplete. The complete question is given below:

All the following statements are true. Which one explains the reason that there is not a solar eclipse at every new moon?

A.) The Moon is only about 1/4 as large as Earth in diameter.

B.) The Moon goes through a complete cycle of phases about every 29 1/2 days.

C.) The orbital plane of the Moon is tilted slightly (by about 5 degrees) to the ecliptic plane.

D.) The nodes of the moon's orbit precess with an 18-year period.

The factors that affect the frequency and the period of a vibrating mass on a spring are mass of the object, spring constant, amplitude of vibration, damping force, and initial conditions.

There are several factors that affect the frequency and period of a vibrating mass on a spring, including:

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The new volume of the gas is 500. ml at 2.00 atm of pressure.

The relationship between pressure, volume, and temperature of a gas can be described by the ideal gas law, which states that PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature (in Kelvin).

Since the temperature remains constant, we can assume that the number of moles of gas and the gas constant are also constant. So, we can rearrange the equation to solve for volume: V = nRT / P.

Substituting the given values, we have: V = nRT / 2.00 atm, and V = nRT / 1.00 atm. Dividing these two equations gives us:

V2 / V1 = (2.00 atm) / (1.00 atm) = 2

So, the new volume (V2) is equal to the original volume (V1) multiplied by 2:

V2 = V1 * 2 = 250. ml * 2 = 500. ml is the new volume.

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The time taken by 10.3 half lives is 1257 s which is equal to for the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value.

The equation which determines the disintegration of atoms is,

N = N₀ e⁻(λt)

where, N is the number of atoms undergoing decay

N₀ is the initial number of atoms present

λ is the rate constant

t is the time

For the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value, the number of half-lives decay took place be n which is given by,

2⁻ⁿ = 8 × 10⁻⁴

Taking log on both sides we have,

- n ln 2 = ln(8 × 10⁻⁴)

n = 10.3

Time taken to complete 10.3 half lives is 10.3 × 122 s = 1257 s which is equal to for the number of 15 8 O nuclei in a given sample to decrease to a factor of 8 × 10⁻⁴ of the initial value.

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The pressure of the gas if the atmospheric pressure is 98.4 kpa and the height of the manometer reads 330 mm is 408mm Hg.

In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area. A 42-pound box with a bottom area of 84 square inches will impose pressure on a surface equal to the force divided by the area it is applied to, or half a pound per square inch. Atmospheric pressure, which is roughly 15 pounds per square inch at sea level, is the weight of the atmosphere pressing down on each unit area of the Earth's surface. Pascals are used to express pressure in SI units; one pascal is equivalent to one newton per square metre. Nearly 100,000 pascals of atmospheric pressure are present.

Given [tex]P_{atm}[/tex]= 98.4KPa = 738mm Hg

Difference in height of Hg coloum= 330 mm

[tex]P_ {column}[/tex]= 330 mm Hg

Pressure in gas= [tex]P_{atm}[/tex] -[tex]P_{manometer}[/tex]

Pressure of gas = 738mm Hg -330mm Hg

Pressure of gas=408mm Hg

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The required radius of the track when velocity of the sprinter is given is calculated to be 22.27 m.

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any object travelling in a circle with an acceleration vector pointing in the direction of the circle's centre.

The velocity of the sprinter v = 9.2 m/s

Centripetal acceleration a is given as 3.8 m/s²

Radius of the track = ?

The expression for centripetal acceleration is:

a = v²/r

Making radius as subject,

r = v²/a = (9.2)²/3.8 = 22.27 m

Thus, the radius of the track is calculated to be 22.27 m.

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