Variance is never most appropriate to report. Shape is
incorrectly reported as positively skewed. Yes, we look at measures
of central tendency but are they that far apart when looking at
SD?
^ corre
A. Select one quantitative, continuous variable that you find most interesting, and you would like to interpret. 1. Calculate all three measures of central tendency and all three measures of variabili

Answers

Answer 1

The most appropriate way to report variability is Standard Deviation (SD).

The Standard Deviation (SD) is one of the most widely used measures of variability or dispersion in statistics. It is the most appropriate way to report variability because of its uniqueness. It measures the average amount of variability or dispersion in a set of data from the mean of the set of data.In statistics, there are different types of variability measures, such as variance, range, etc., but Standard Deviation is the most commonly used. It is the square root of the variance, which is also a measure of variability or dispersion of a set of data. Standard Deviation is calculated using the formula: SD = √(Σ(X-μ)²/N), where Σ is the sum of, X is the value of an individual observation, μ is the mean, and N is the total number of observations.

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Related Questions

23 Two carts on a frictionless track have mass m and 4m respectively. The heavier
cart is travelling 0.78 m/s [E] and less massive cart is travelling 1.3 m/s [W). After a
head-on elastic collision, determine the final velocities of both carts.

Answers

Answer:

lighter: 2.028 m/s Eheavier: 0.052 m/s W

Explanation:

You want the final velocities of a cart of mass m traveling 1.3 m/s W and a cart of mass 4m traveling 0.78 m/s E after an elastic collision.

Elastic collision

In an elastic collision, both momentum and kinetic energy are conserved. If we let x and y represent the post-collision velocities of the lighter and heavier carts, respectively, then we can write equations ...

  m(-1.3) +4m(0.78) = mx +4my . . . . . . . conservation of momentum

  m/2(-1.3)² +4m/2(0.78²) = m/2x² +4m/2y² . . . . . conservation of energy

Solution

Dividing the first equation by m, and the second equation by m/2, we can substitute for x:

  x = -1.3 +4(0.78) -4y

  (-1.3)² +4(0.78)² = (-1.3 +4(0.78) -4y)² +4y²

  4.1236 = (1.82 -4y)² +4y²

  20y² -14.56y -0.8112 = 0 . . . . simplify to standard form

  (y +0.052)(y -0.78) = 0 . . . . . . divide by 20 and factor

  y = -0.052 . . . . . . m/s (negative is West)

Then x is ...

  x = 1.82 -4(-0.052) = 2.028

The final velocities of the carts are ...

lighter: 2.028 m/s Eheavier: 0.052 m/s W
23 Two carts on a frictionless track have mass m and 4m respectively. The heaviercart is travelling 0.78

Creating a Multimedia Presentation about

Satellite Technology Careers - Student Guide

Answers

You could pursue a career in oceanography, aircraft safety, energy conservation, air quality control, space exploration, or education. The most thorough and economical method for remotely monitoring these systems is via satellite.

What is meant by Satellite Technology?

Weather forecasting, remote sensing, geo-positioning, navigation, television, and telephony are a few of the services that satellites may offer for disaster risk management and emergency response.

For the purpose of taking pictures, atmospheric sounding, satellite communication, geo-positioning, and navigation, equipment onboard the satellites circling the Earth is created to cover a range of wavelengths in the electromagnetic spectrum.

Depending on the use or instrumentation, satellites orbit the Earth in a variety of ways: A satellite in a geostationary orbit revolves around the planet simultaneously with the rotation of the planet above the equator (0° latitude).

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Discuss what makes a product more environmentally friendly than others.​

Answers

Eco-friendly items are made from elements that have been reclaimed, are simple to recycle, or have been sourced naturally, such as cotton or bamboo.

What can be done to make a product greener?

Use materials that will help your product last a long time. Material that are unable to be recycled should not be coupled. Choose substances that are recyclable in the nation where the product will be used. Using design strategies like honeycombing can help you utilise less material.

How can you tell if a products is eco-friendly?

For information on any green certifications, check the product's label or the company website. Keep an eye out for the following certifications in particular: Energy Stars (for energy efficiency), Made With organic Seal (for natural foods), Endorsement Of forest certification Council (for goods manufactured from trees in forests that have been sustainably managed), & Green Shield (for general sustainability).

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how much depth would a lake lose per year if it uniformly covered an area of 70 km2 and supplied a local town with a population of 50000 people? consider only population uses, and neglect evaporation and so on.

Answers

The lake would lose approximately 3.9 meters in depth per year due to water usage by the local town.

How calculate how much a lake would lose in depth per year due to water usage by a local town, we need to know the amount of water used by the town and the volume of the lake?

Let's assume that the average daily water usage per person is 150 liters. Then, the total daily water usage for the town would be 150 liters/person * 50000 people = 7,500,000 liters/day.

To convert this to cubic meters, we multiply by 1000 liters/cubic meter to get 7,500 cubic meters/day.

To find the total volume of the lake, we need to know its average depth. Let's assume an average depth of 10 meters. Then, the volume of the lake would be 70 km^2 * 1000^2 m^2/km^2 * 10 m = 7,000,000,000 cubic meters.

Dividing the total volume of the lake by the daily water usage of the town, we can calculate the number of days it would take to use up the entire volume of the lake:

7,000,000,000 cubic meters / 7,500 cubic meters/day = 933,333 days

So it would take approximately 933,333 days, or about 2,542 years, to use up the entire volume of the lake at this rate of water usage.

However, if we want to calculate the change in depth per year, we need to divide the volume used by the town each day by the surface area of the lake:

7,500 cubic meters/day / (70 km^2 * 1000^2 m^2/km^2) = 0.0107 cubic meters/day/m^2

And finally, to convert this to change in depth per year, we multiply by 365 days/year:

0.0107 cubic meters/day/m^2 * 365 days/year = 3.9 m/year

So, the lake would lose approximately 3.9 meters in depth per year due to water usage by the local town.

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how does this experiment help us understand their behavior? stanford prison experiment

Answers

This experiment help us understand their behavior as well as how the people will cop up with the rules and regulation the society wants to apply on them

What is Stanford prison experiment ?

In a two-week simulation of a prison setting, the Stanford prison experiment was meant to look at the impact of situational factors on participants' responses and behaviors.

Hence, this experiment allows us to better understand their behavior, as well as how individuals will respond to the laws and regulations imposed by society.

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for factors that affect capillarity

Answers

Pressure drop across the tube.
Viscosity of the fluid.
Diameter of the tube.

A 0. 60 kg spike is hammered into a railroad

tie. The initial speed of the spike is equal to

1. 8 m/s.

If the tie and spike together absorb 57. 8

percent of the spike's initial kinetic energy

as internal energy, calculate the increase in

internal energy of the tie and spike.

Answer in units of J.

Answers

The increase in internal energy of the tie and spike is approximately 1.12 Joules.

The initial kinetic energy of the spike is:

K_i = (1/2) * m * v^2

K_i = (1/2) * 0.60 kg * (1.8 m/s)^2

K_i = 1.94 J

The amount of kinetic energy that is absorbed as internal energy is:

K_absorbed = 0.578 * K_i

K_absorbed = 0.578 * 1.94 J

K_absorbed = 1.12 J

Thus,the value is 1.12 Joules.

Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work. After work has been done, energy has been transferred to the object, and the object will be moving with a new constant speed.

Kinetic energy is the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have kinetic energy. A person walking, a soaring baseball, a crumb falling from a table and a charged particle in an electric field are all examples of kinetic energy at work.

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1.) Describe the shape, movement of particles, and the volume of a solid.

2.) Describe the shape. movement of particles, and the volume of a liquid.

30 points please help me ??? ASAP

Answers

Answer:

Solids have a definite shape and volume, its particles vibrate slowly.

Liquids have no definite shape, the particles move randomly around its container, and they have a fixed volume.

identify and discuss one of the sources of failure common to both the therac-25 and the ariane 5 rocket? what could have been done to avoid this problem?

Answers

One common source of failure in both the Therac-25 and the Ariane 5 rocket was inadequate software testing and validation. Proper testing and validation procedures are essential to identify and rectify potential issues before deployment.

To avoid these problems, rigorous and comprehensive software testing and validation protocols should have been implemented. This includes thorough unit testing, integration testing, system testing, and stress testing to identify and resolve software flaws and ensure proper functionality. In addition, employing formal methods and techniques, such as code inspections, static analysis, and model checking, could have helped to detect and prevent potential errors. Furthermore, conducting extensive real-world simulations and test scenarios prior to deployment would have provided valuable insights into the system's behavior, enabling the detection and resolution of critical issues. Implementing proper software development processes and following industry best practices, such as establishing a robust change management system and adhering to coding standards, would have also contributed to reducing the risk of failure.

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A 1,400-kilogram car is also traveling in a straight line. Its momentum is equal to that of the truck in the previous question. What is the velocity of the car?.

Answers

The momentum of the first truck is 40,000 kgm/s.

The velocity of the second truck with equal momentum is 28.57 m/s.

The given parameters:

Mass of the first truck, m = 4000 kgVelocity of the first truck, v = 10 m/sMass of the second truck, m = 1,400 kg

What is momentum?Momentum is defined as the product of mass and velocity.

The momentum of the first truck is calculated as follows;

P = mv

P = 4000 x 10

P = 40,000 kgm/s

The velocity of the second truck with equal momentum is calculated as follows;

\(P = mv\\\\v = \frac{P}{m} \\\\v = \frac{40,000}{1,400} \\\\v = 28.57 \ m/s\)

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A 4,000-kilogram truck travels in straight line at 10.0 m/s, What is its momentum? A 1,400-kilogram car is also traveling in a straight line. Its momentum is equal to that of the truck in the previous question. What is the velocity of the car?

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A piston-cylinder device initially contains 15 ft3 of helium gas at 25 psia and 70°F. Helium is now compressed in a polytropic process (PVconstant) to 70 psia and 300°F. Determine a. The entropy change of helinn (5%) b. The entropy change of the surroundings [5%] c. Whether this process is reversible, irreversible, or impossible. (3%) Assume the surroundings are at 70°F

Answers

The entropy change of the surroundings can be assumed to be negligible if we consider an adiabatic process with no heat exchange.

To determine the entropy change of helium and the surroundings, we need to apply the principles of thermodynamics. Let's break down the problem into parts:

a. The entropy change of helium (ΔS_helium):

To calculate the entropy change of helium gas, we can use the ideal gas equation and the definition of entropy change:

ΔS_helium = C_p * ln(T2/T1) - R * ln(V2/V1)

First, we need to determine the final volume, V2. Since the process is polytropic (PV constant), we can use the relationship:

P1 * V1^n = P2 * V2^n

where n is the polytropic exponent. In this case, since it's a polytropic process, n is not specified. Therefore, we need to know the value of n or find a way to determine it.

Unfortunately, without the value of the polytropic exponent, we cannot calculate the entropy change of helium (ΔS_helium). The polytropic exponent is essential to determine the relationship between pressure and volume during the process.

b. The entropy change of the surroundings (ΔS_surroundings):

The entropy change of the surroundings can be determined based on the heat transfer during the process. If we assume that the process is adiabatic (no heat transfer with the surroundings) and the surroundings are at a constant temperature of 70°F, then the entropy change of the surroundings would be zero (ΔS_surroundings = 0). In this case, there is no heat exchange with the surroundings, so the entropy change of the surroundings is negligible.

c. Reversibility of the process:

Without knowing the polytropic exponent or more information about the process, we cannot definitively determine if the process is reversible, irreversible, or impossible. The polytropic exponent would provide insights into the nature of the process and its reversibility.

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Annie enjoys going to the beach to look for shells. On Saturday, she found 4 times as many shells as she found on Sunday.If Annie found 21 more shells on Saturday than on Sunday, how many shells did she find altogether over the weekend?

Answers

Given

On Saturday, she found 4 times as many shells as she found on Sunday.

Saturday = 4*Sunday

Saturday = 21 + Sunday

Two system equations, now we can solve:

4*Sunday = 21 + Sunday

3*Sunday = 21

Sunday = 7 Shells

Saturday = 28 Shells

Total = 35 Shells

Answer:35 in total

Explanation:

Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).

Answers

Answer:

Explanation:

For every action (or force), there is an equal and opposite action (or force).

When the defibrillator is in use, a potential difference of 4800 V is applied across the
person's chest.
A charge of 0.16 coulombs passes through the person's chest in 4.0 ms
Calculate the resistance of the person's chest.

Answers

If a defibrillator is in use with the given potential difference and charge in the given time, the resistance of the person's chest is 120 Ohms.

What is the resistance of the person's chest?

From Ohm’s law;

V = I × R

Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.

Given that;

Potential difference v = 4800VCharge Q = 0.16CTime elapsed t = 4.0ms = ( 4/1000 )s = 0.004sResistance R = ?

First, we calculate the current I.

Since current is the electric charge transferred per unit time.

I = Q/t

I = 0.16C / 0.004s

I = 40A

Now, the resistance of the person's chest will be;

V = I × R

R = V / I

R = 4800V / 40A

R = 120Ω

Therefore, If a defibrillator is in use with the given potential difference and charge in the given time, the resistance of the person's chest is 120 Ohms.

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A balloon is rubbed against a sweater. Which of the following describes the result of this interaction?(1 point)

The outer shell electrons move from the balloon to the sweater.

The fibers of the sweater lose electrons.

The balloon becomes positively charged.

The free electrons in the balloon decreases.

Answers

Fibers of the sweater lose electrons because electrons are leave it.

One of the ways of charging a body is by friction. Charges are transferred from one body to another when an object is rubbed against another. This is charging by friction.

A sweater has negative charges hence when the balloon is rubbed against the sweater, fibers of the sweater lose electrons because electrons are leave it.

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The passing of a wave through a material
A. Absorption
B.transmission
C.reflection

Answers

Answer:

B: transmission

Explanation: Transmission of waves occurs when waves pass through a given point or medium. Sound waves are transmitted through solids, liquids, and gases therefore the answer is the transmission

If you can please help thanks

If you can please help thanks

Answers

Answer:

2

Explanation:

When Marie sees the red traffic light, Marie brakes to a halt from a speed of 70 m/s in just 2 seconds. What is her deceleration?

Answers

Answer:

-35 \(m/s^2\)

Explanation:

Deceleration is the complete opposite of acceleration and is calculated by adding a negative sign to the formula for finding acceleration.

Since acceleration is calculated by diving the change in velocity with time, deceleration will become:

 Deceleration =   -Δv/t, where Δv = change in velocity and t = time

In this case, Δv = 70 m/s and t = 2 s, hence;

Deceleration = -70/2 = -35 \(m/s^2\)

The deceleration is 35 \(m/s^2\).

What is created as a result of friction?
A. Bobbleheads
B. Gravity
C. Heat
D. Danger

Answers

C. Heat is the cause of friction.
It is C. Heat because of the friction is going on it starts to create this end of heat

which of the following are possible units for a spring constant? A. N/nm B. nm/N C. nm/J D. J/nm

Answers

Answer:

Since N/m is the unit of spring constant N/nm would be the possible unit for a spring constant.

A. N/nm is the possible unit for a spring constant.

Is spring constant in N m?

The units at the spring regular are Newton/meter (N/m). The poor signal within the above equation is an indication that the direction that the spring stretches is opposite the path of the pressure that the spring exerts.

Because the force is measured in Newtons and the spring consistent is multiplied with the aid of the gap in meters, the spring constant need to have devices that get rid of meters, ensuing most effective force. The most effective devices that work for the spring regular are for that reason, Newtons in step with the meter.

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What defines a mixture?
for sience

Answers

In chemistry, a mixture is a material made up of two or more substances which are not chemically combined.

Hope this helps :)

[BWS.02]
The more an experiment is repeated, with the same outcomes, the more
it becomes
O biased
O not observed
Opermanent
O questioned

Answers

Answer:

Its. Biased

Explanation:

The weather of a region describes the region’s average temperature and precipitation over a long period of time.

True or False

Answers

Answer:

True!

Explanation:

Scientists usually state or determine the average temperature/precipitation over a long period of time. Several different tables or graphs are used to prove and check that this is true. Hope this helps!

A discus thrower accelerates a discus from rest to a speed of 25. 4 m/s by whirling it through 1. 21 rev. Assume the discus moves on the arc of a circle 0. 95 m in radius. A discus thrower moving in a circle as he prepares to throw the discus. (a) Calculate the final angular speed of the discus. Rad/s (b) Determine the magnitude of the angular acceleration of the discus, assuming it to be constant. Rad/s2

Answers

(a) To calculate the final angular speed of the discus, we can use the formula:

ω = Δθ / Δt

where ω is the angular speed, Δθ is the change in angle, and Δt is the change in time.

In this case, the discus goes through 1.21 revolutions, which is equal to 1.21 * 2π radians. The time it takes to complete this motion is not provided in the question.

(b) To determine the magnitude of the angular acceleration of the discus, we can use the formula:

α = Δω / Δt

where α is the angular acceleration, Δω is the change in angular speed, and Δt is the change in time.

The change in angular speed can be calculated by subtracting the initial angular speed (0, as the discus starts from rest) from the final angular speed calculated in part (a).

However, without the specific time duration for the discus to reach its final speed, we cannot accurately determine the final angular speed or the magnitude of the angular acceleration.

Please provide the time taken to accelerate the discus from rest to a speed of 25.4 m/s or any other relevant information so that we can calculate the values accurately.

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what are the differences between the hubble space telescope and the james webb telescope?

Answers

Answer:

Their missions are different - Hubble Telescope's goal is to capture distant stars and galaxies while the James Webb telescope was always meant for long-term exposure and deep space capturingThe Hubble telescope specializes in ultraviolet wavelength - its infrared technology enables it to capture more images from older galaxies.The james webb telescope has a more profound infrared vision - James Webb has been significantly front-loaded with infrared technology to capture more light and a better span of deep space.

4. A trolley of mass 2kg rests next to a trolley of mass 3 kg on a flat
bench as shown in the diagram. When the spring is released
between the trolley's, they pushed apart. The 2kg travels to left at a
velocity of 6m/s.
a. What is the total momentum of the trolleys before
separation?
b. What is the total momentum of the trolleys after
separation?
c. What is the momentum of of 2kg trolley after
separation
d. What is the momentum of 3kg trolley after separation?
e. What is the velocity of the 3kg trolley?

Answers

Answer:

a. The total momentum of the trolleys which are at rest before the separation is zero

b. The total momentum of the trolleys after separation is zero

c. The momentum of the 2 kg trolley after separation is 12 kg·m/s

d. The momentum of the 3 kg trolley is -12 kg·m/s

e. The velocity of the 3 kg trolley = -4 m/s

Explanation:

a. The total momentum of the trolleys which are at rest before the separation is zero

b. By the principle of the conservation of linear momentum, the total momentum of the trolleys after separation = The total momentum of the trolleys before separation = 0

c. The momentum of the 2 kg trolley after separation = Mass × Velocity = 2 kg × 6 m/s = 12 kg·m/s

d. Given that the total momentum of the trolleys after separation is zero, the momentum of the 3 kg trolley is equal and opposite to the momentum of the 2 kg trolley = -12 kg·m/s

e. The momentum of the 3 kg trolley = Mass of the 3 kg Trolley × Velocity of the 3 kg trolley

∴ The momentum of the 3 kg trolley = 3 kg × Velocity of the 3 kg trolley = -12 kg·m/s

The velocity of the 3 kg trolley = -12 kg·m/s/(3 kg) = -4 m/s

a-The total momentum of the trolleys before separation=0

b.The total momentum of the trolleys after  separation=0

c. The momentum of 2kg trolley after  separation=12kg-m/sec

d. The momentum of 3kg trolley after separation=-12kg-m/sec

e. The velocity of the 3kg trolley=4kg-m/sec

Given-

Trolley A with mass= 2kg

Trolly B with mass= 3kg

Velocity of trolly A =6m/sec

A- Total momentum of the trolleys before separation-

Here, in this problem both the trolleys are in the rest position hence the momentum of both trolleys = 0

B- Total momentum of the trolleys after  separation-

We know that motion never changes in an isolated collection of objects,

hence the momentum of the trolleys before and after the separation=0

C- Momentum of the Trolley A (2kg)-

It is known that momentum= Mass x Velocity

\(P=m\times v\)

\(P=2\times 6\)

\(P=12\)

Hence, the momentum of the 2kg trolley is 12 kg-m/sec

D- Momentum of the Trolley B (3kg)-

As we know that  motion never changes in an isolated collection of an object hence the total moment of after saparation = 0

hance the momentum of the trolley B will be equal and opposite to the momentum of trolley A=

\(P= -12\)

Momentum of trolley B (3kg) is -12kg-m/sec

E- The velocity of the 3kg trolley-

The momentum of trolley A= Momentum of trolley B

\(m_{b} v_{a} =m_{b} v_{a}\)

\(-2\times 6=3\times v_{a}\)

\(v_{a}=-4\)

The value of the velocity of the 3kg trolley is -4m/sec

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Waves transfer _________________, not the _____________ with it. A ______________________ causes particles in matter to move back and forth at right angles to the direction in which the wave travels. High points in a transverse wave are called ________________. Low points are called ________________. A ________________ wave causes particles in matter to move back and forth along the same direction in which the wave travels. The places in a longitudinal wave in which the coils are squeezed together are called ______________. The places in the wave in which the coils are spread apart are called _________________. The ________________ of a transverse wave is the distance between two adjacent crests or two adjacent troughs. The _________________ of a compressional wave is the distance between two adjacent compressions or rarefactions.. The _____________ of a wave is the number of wavelengths that pass by a point each second. Frequency is measured in units of _____________. The ___________ of a wave depends on the medium in which the wave travels. To make a wavelength of rope shorter, one should shake the rope at a ____________ frequency. The speed of a wave can be found using the equation ________________. As the wavelength of a wave increases, the frequency of the wave _______________. The energy of a wave depends on its ______________________.

Answers

Explanation:

(Sorry but we can prosses your answer)

A boy and a dog are both pulling oppositely on the same bone when the boy pulls as hard as he can. What is the equal and opposite force for the force of the boy pulling on the bone as described by newton's third law?.

Answers

The equal and opposite force for the force of the boy pulling on the bone, the net force is zero.

A boy and a dog are both pulling oppositely on the same bone when the boy pulls as hard as he can. There is no net force. Each dog exerts an equal amount of force in opposing directions, which causes the combined force to cancel out.

Newton's third law :

When one body applies pressure to another, the first body feels pressure that is equal to the applied pressure but applied in the opposite direction.Fa = - Fb force exerted on a body is equal and opposite to the force exerted on another body.

The equal and opposite force for the force of the boy pulling on the bone, the net force is zero.

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Put these components from largest to smallest

1. comet

2. star

3. galaxy

4. nebula

5. planet

6. universe

Answers

Answer:

6, 3, 2, 5, 4, 1

Explanation:

Let's describe them from smallest to largest. In fact the size order is not exact as there are exceptions.

An asteroid is a rocky body which lies in the asteroid belt between Mars and Jupiter. They are typically quite small object. The largest asteroid Ceres has been reclassified as a dwarf planet.

A moon is typically a rocky body which is in orbit around a planet. Some moons such as our Moon are quite large and are typically bigger than asteroid. Some moons can actually be smaller than some asteroids.

A planet is a nearly spherical body which is in orbit around the Sun. Planets are larger than moons.

A star is what planets orbit around. It is the source of light and heat. Our Sun is a star which is many times bigger than all of the planets.

A solar system is a star and all of its planets, asteroids, comets and other bodies. It is significantly bigger than a star.

A galaxy, such as our Milky Way Galaxy, is a collection of solar systems orbiting around a central core. Most galaxies have a supermassive black hole at their centres.

Galaxies also form clusters which are large scale structures.

The universe is everything. It contains billions of galaxies.

135. A 400-nm laser beam is projected onto a calcium electrode. The power of the laser beam is 2.00 mW and the work function of calcium is 2.31 eV. (a) How many photoelectrons per second are ejected

Answers

A 400-nm laser with power 2.00 mW hits a calcium electrode, releasing about 4.03 × 10¹⁵ photoelectrons per second due to photoelectric effect.Photoelectrons from calcium, each with energy 3.70 × 10⁻¹⁹ J, carry away net power of around 1.49 × 10⁻³ W from the laser beam.

Given values:

Wavelength (\(\( \lambda \)\)) = 400 nm

= \(\( 400 \times 10^{-9} \)\) m

Power (P) = 2.00 mW

= \(\( 2.00 \times 10^{-3} \)\) W

Planck constant (h) = \(\( 6.626 \times 10^{-34} \)\) J·s

Speed of light (c) = \(\( 3 \times 10^8 \)\) m/s

Calculate energy of each photon (E):

\(\[ E = \dfrac{hc}{\lambda} \\\\= \dfrac{(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}) \times (3 \times 10^8 \, \text{m/s})}{400 \times 10^{-9} \, \text{m}}\\\\ \approx 4.97 \times 10^{-19} \, \text{J} \]\)

Calculate the photoelectric current (I):

\(\[ I = \dfrac{P}{E} \\\\= \dfrac{2.00 \times 10^{-3} \, \text{W}}{4.97 \times 10^{-19} \, \text{J}}\\\\ \approx 4.03 \times 10^{15} \, \text{A} \]\)

Since each photoelectron corresponds to one unit of current, the number of photoelectrons per second (n) is approximately equal to the calculated current I:

\(\[ n \approx 4.03 \times 10^{15} \, \text{photoelectrons/second} \]\)

Given value:

Work function (W) = 2.31 eV

= \(\( 2.31 \times 1.602 \times 10^{-19} \)\) J (using the elementary charge)

Calculate energy of each photoelectron (\(\( E_{\text{electron}} \)\)):

\(\[ E_{\text{electron}} = W \cdot e \\\\= 2.31 \times 1.602 \times 10^{-19} \, \text{J}\\\\ \approx 3.70 \times 10^{-19} \, \text{J} \]\)

Calculate the net power carried away by photoelectrons:

\(\[ \text{Net Power} = n \cdot E_{\text{electron}} \\\\= (4.03 \times 10^{15} \, \text{photoelectrons/second}) \times (3.70 \times 10^{-19} \, \text{J/photoelectron})\\\\ \approx 1.49 \times 10^{-3} \, \text{W} \]\)

Thus, the net power carried away by photoelectrons is approximately \(\( 1.49 \times 10^{-3} \)\) Watts.

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