how much work is done by the environment in the process shown in the figure?

Answers

Answer 1

Work done by the environment is [tex]-1J[/tex]

Initial kinetic energy, [tex]K_{i} =4J[/tex]

Initial potential energy, [tex]U_{i} =1J[/tex]

Final potential energy, [tex]U_{f} =2J[/tex]

Final kinetic energy, [tex]K_{f} =1J[/tex]

Final thermal energy, [tex]E_{th} =1J[/tex]

The work that an object can perform as a result of its mobility is measured by its kinetic energy.

The entire energy in any process is always conserved, according to the law of energy conservation. As a result, the process's final kinetic energy is computed as

[tex]K_{i} + U_{i} + W_{ext} = K_{f} + U_{f} + E_{th}[/tex]

Substituting the values from the energy bar chart given,

[tex]4+1+ W_{ext}=1+2+1[/tex]

[tex]W_{ext}= -1J[/tex]

In physics, Work is the energy transferred to or from an object thru the application of force alongside a displacement. it's miles a trendy mechanical amount. In its only form, for a regular pressure aligned with the path of motion, the paintings equal the product of the force of electricity and the gap traveled. A pressure is stated to do positive paintings if while carried out it has a thing within the path of the displacement of the factor of software. A force does bad work if it has an issue contrary to the direction of the displacement on the factor of application of the force.

As an example, whilst a ball is held above the floor and then dropped, the work performed via the gravitational pressure on the ball as it falls is wonderful and is the same as the load of the ball (a force) accelerated with the aid of the distance to the ground (a displacement). If the ball is thrown upwards, the paintings performed with the aid of its weight are negative and are identical to the burden accelerated by the displacement in the upwards route.

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Complete Question:

How much work is done by the environment in the process shown in the figure? Is energy transferred from the environment to the system or from the system to the environment?

How Much Work Is Done By The Environment In The Process Shown In The Figure?

Related Questions

light incident normally on a thin film of glycerine which coats a thick glass plate, refractive index 1.55. in the resulting reflections, completely constructive interference is observed at 440.0 nm and completely destructive interference is seen at 352.0 nm. take the refractive index of glycerine as 1.31, calculate the thickness of the film.

Answers

The refractive index of glycerine as 1.31 and  the thickness of the film is 0.808 μm

Light incident normally on a thick glass plate covered in a thin layer of glycerine with a refractive index of 1.55

Δθ=2Πn₂t/λ + Π-Π

Δθ=4Πn₂t/λ

For constructive interference

refractive index of glycerine is 1.31

Δθ=2mΠ

2mΠ=4Πn₂t/λ1

t=mλ1/2n2=970m/2*1.2

For destructive interference

ΔΘ=(2m+1)Π

4Πn₂t/λ₂=(2m+1)Π

t=(2m+1)λ2/4n₂

2*2.4/970+1=4*1.2/776t

0.001237t=1

t=808.33 nm

Thickness is =0.808 μm

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Can someone help with this

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d. Just before it is released, the box has twice as much elastic potential energy as before

When a spring is compressed, it stores potential energy in the form of elastic potential energy. The amount of elastic potential energy stored in the spring is given by the formula:

E = 1/2 * k * x^2

where E is the elastic potential energy, k is the force constant of the spring, and x is the distance the spring is compressed.

Therefore, if we compress the spring at a distance of 2x instead of x, the elastic potential energy stored in the spring will be twice as much. This means that just before the box is released, it has twice as much elastic potential energy as before.

Two hydrogen atoms collide head on. The collision brings both atoms to a halt. Immediately after the collision, both atoms emit a 121.6 nm photon. What was the speed of each atom just before the collision?

Answers

Both atom emit a photon with a wavelength of 121.6 nm right after colliding. Atomic speed is defined as v = 44.2 * 103 m/s.

What does "speed" mean in physics?

The rate at which site of an object shifts in any axis. Speed is described as the ratio of the distance covered to the time required to cover that length.

How do you locate examples of speed?

That really is speed Equals distance time. Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know one of the inputs. For instance, if a car drives 120 miles in 2 hours, we may calculate the speed as 120 x 2 = 60 kilometers per hour.

Briefing:

wavelength λ=121.6nm.

Energy, K=E

1/2mv*v = hc/λ

V² = hc/2λ

v²= 2(6.62*10⁻³⁴)(3*10⁸)/ (1.67*10⁻²⁷) (121.6*10⁻⁹)

v = 44.2 * 10³m/s

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what are the currents in the inductor, in resistor r1, and in resistor r2 immediately after the switch is closed?

Answers

The current in both the resistors that is r1 and r2 will be zero after the switch is closed.

What is a resistor ?

The capacitance and inductance can have undesirable effects in high frequency circuits, such as in radio electronics. The majority of foil resistors have a low parasitic reactance, but wirewound resistors are among the worst. The resistor's electrical noise level needs to be as low as feasible for precise applications like audio amplifiers.

Since it cannot change instantly, the current through the inductor is zero when the switch is first closed.

This indicates that the inductor behaves like an open circuit and that all of the voltage is applied across it.

The magnetic field gets stronger as the current ramps up from zero.

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"when the frequency of an ac circuit is increased, the current in the circuit does not change. which combination of elements is most likely to comprise the circuit?"

Answers

The elements are inductor , capacitor and resistors.

An LCR circuit, also known as a resonant circuit, tuned circuit, or an RLC circuit, is an electrical circuit consisting of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel. The LCR circuit analysis can be understood better in terms of phasors. A phasor is a rotating quantity.Impendence (Z) of an LCR circuit is given by [tex]Z = \sqrt{R^{2} + (X_{l} - X_{c} )^{2} }[/tex]

Here , [tex]X_{l} =[/tex] reactance and [tex]X_{c} =[/tex] capacitance

At resonance frequency, Z is minimum and current is maximum. For any other value of frequency, the value of current will decrease (when compared to current at resonance).Clearly, the circuit must have inductor and capacitor. However, it may be possible that the circuit also has a resistor besides inductor & capacitor.

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when you view a distant rainbow, you view from each single water drop that contributes to the bow

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When you look at a distant rainbow, you see "a single color" from every individual water drop that makes up the bow.

Explain the phenomenon of rainbow?

The combination of sunlight and atmospheric factors produces a rainbow.

As light passes from air into denser water in a water droplet, it slows down and bends. Inside the droplet, the light reflects off and splits into its individual wavelengths, or colors. The rainbow is created as light leaves the droplet.A rainbow isn't actually a "thing," and it doesn't have a specific "place" where it exists. It's an optical phenomenon which only manifests when the sun, the atmosphere, and the viewer's position are precisely correct.Water vapor must be suspended in the atmosphere for a rainbow to form. We observe them as a result just after it rains. The rainbow can only be seen when the Sun is in the background and the clouds have cleared away from the Sun.

Thus, when you look at a distant rainbow, you see "a single color" from every individual water drop that makes up the bow.

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g a photon with an energy of 8.61 ev is absorbed by a metal that has a work function of 5.75 ev, resulting in the ejection of an electron. what is the maximum kinetic energy of the electron in ev?

Answers

The maximum kinetic energy of the electron in ev is 2.86 ev.

We know the relation between energy, work function and maximum kinetic energy as,

E = W + KE max -----(1)

where, E is the energy absorbed

W is the work function

KE max is the maximum kinetic energy

It is also known as photoelectric equation.

Given that,

E = 8.61 ev

W = 5.75 ev

KE max = ?

By substituting the above values in equation (1), we have

8.61 = 5.75 + KE max

KE max = 2.86 ev

Thus, the maximum kinetic energy of the electron in ev is 2.86 ev.

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Question 25 What major factor explains the quick adoption of new programs?O One political party supports the program.O The media draws attention to the particular issue. O The public does not hold a very strong opinion on the issue. O There are many interest groups active on both sides of the policy. O The public holds wide enthusiasm for a program. Question 18 1 p What is an important difference in our current political system compared to when the Constitution was created and ratified?O National leaders were only beholden to their own consciences in the past. O National leaders were more careerist and served in the legislature for several decades in the earlier era. O Politics was much more collegial in the previous era. O There was much more openness and transparency in the previous era.O There was much more accountability in the previous era.

Answers

The Major factor explaining the quick adoption of new programs is media draw attention to particular issue.

Our constitution gave our leaders enormous powers and didn't think about how to lead them.

Our Constitution says that 100 sinners may be released, but the innocent should not be punished and blindly obeyed.

Our Constitution contained no rule that the Constitution could be amended or amended only for a limited period of time, but under the strict guidelines of the Constitutional Commission, unlimited amendments were allowed. This provision for the government may prevent the government from doing other work. It also gave some good results.

As you can see in the preface above, “social, economic and political justice. Sometimes, what existed at the economic level is just a giveaway, even for the sake of the name.

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which of the following descriptions corresponds to the sclera? a.) it is made of dense tissue to help protect the eye. b.) it is the part of the eye that focuses incoming light. c.) it is a substance that maintains the eye's pressure and transmits light. d.) it is located behind the lens and helps the eye maintain its shape.

Answers

The correct descriptions corresponds to the sclera is It is made of dense tissue to help protect the eye.

Hence, Option A is correct.

The sclera serves as the eyeball's supporting wall. It keeps your eyeball in shape and protects it from injury. Conjunctiva, which are clear mucus membranes that lubricate (moisturize) your eye, cover the sclera. The sclera's muscles help move your eyeball up and down and side to side.High levels of melanin, the natural skin pigment that gives skin, hair, and the iris of your eyes a darker color, can cause harmless spots outside of the iris and within the sclera.

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when poked by a spear, an operatic soprano lets out a 1,100-hz shriek. what is its wavelength if the speed of sound is 344 m/s?

Answers

The wavelength of the wave produced by the sound is found as 0.312 m.

Explain the relation of wavelength and velocity?As a result, an increase in just about any one quantity while maintaining a constant value for the other will increase the wave speed, which is mathematically equal to that product of the wave's wavelength and linear frequency.

Mathematically: v = fλ;

In which;

v = speed of the waveλ = wavelength of the wavef = frequency of the wave

The given data for the question-

f = 1100 Hz ; frequency of sound

v = 344 m/s; speed of the sound

λ = wavelength of the wave

Put the value in the formula;

344 = 1100 x λ

λ = 344/1100

λ = 0.312

Thus, the wavelength of the wave produced by the sound is found as 0.312 m.

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Which of the following explains the relationship between wavelength and frequency of light?a. The longer the wavelength, the higher the frequency.b. The shorter the wavelength, the lower the frequency.c. The wavelength and frequency are not related to each other.d. The longer the wavelength, the lower the frequency. ​

Answers

Answer:

(d) the longer wavelength the lower the frequency:

V = λ * f

For a given velocity - λ and f are inversely related

(a) a laser emits light that has a frequency of 4.69 * 1014 s - 1. what is the energy of one photon of this radiation? (b) if the laser emits a pulse containing 5.0 * 1017 photons of this radiation, what is the total energy of that pulse?

Answers

A light pulse is a flash. Lasers and related devices have amazing potential for generating light pulses with very specific properties. There are various techniques for using lasers to generate nanosecond, picosecond and even femtosecond pulses.

Light energy is a form of kinetic energy that has the ability to make some kind of light visible to the human eye. Light is defined as a form of electromagnetic radiation emitted by hot objects such as lasers, incandescent bulbs, and the sun. Light contains photons, which are tiny packets of energy.

(a) Energy of photon = planck' constant x fequency

                                    =6.6x10^-34 x4.69 x10^14 J

(b) Energy of 5.0x10^17 photons = 6.6x10^-34 x 4.69x10^14 x5.0x10^17

The energy of a single photon is: hν or = (h/2π)ω where h is Planck's constant: 6.626 x 10-34 Joule seconds. Photons in visible light contain about 10-19 Joules per second in the beam.

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when a weight w is hanging from a light vertical string, the speed of pulses on the string is v. if a second weight w is added without stretching the string, the speed of pulses on this string will now become. true or false?

Answers

It is false to say that speed of pulse remains v after adding the second weight w on the vertical string.

We know very well that speed of transverse wave v in a string is given by:

v=√T / √μ

where,

T represents the tension in the string

μ represents the linear mass density defined for the string

Now, in the given situation,

when weight is  hanging on light vertical string is W, speed of the wave v is :

v=√W / √μ ----(eq1)

On addition of  an additional weight of W, speed of the wave becomes v ' as :

v′ = √2W /√μ -----(eq2)

After comparing eq1 and eq2, we observe that

after addition of same amount of weight in the given light string, speed will increase by √2 times the previous speed.

Hence, the given statement is false.

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a racecar is traveling at a speed of 80.0 m/s on a circular racetrack of radius 450 m. what is its centripetal acceleration in m/s2?

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The centripetal acceleration of the race car is 14.22m/s².

centripetal acceleration, the acceleration of a body traversing a circular path. Since velocity is a vector quantity (that is, it has magnitude, speed, and direction), when a body moves along a circular path, its direction is constantly changing, and thus its speed also changes and acceleration occurs. The acceleration is directed radially towards the center of the circle. The centripetal acceleration ac has a magnitude equal to the square of the velocity v of the body along the curve divided by the distance r from the center of the circle to the moving body; that is, ac = v²/r. Centripetal acceleration has units of meter per second squared.

v=80m/s

r=450m

a=80²/450=14.22m/s²

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Light passes through the entire thickness of the neural layer of the retina to excite the photoreceptors. True False

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True, The vitreous fluid fills the anterior area of the eye. At which optic nerve exits the eyeball, the optic disc creates a blind patch.

What role does the retina play?

Light that enters your eye is converted by the retina into electrical signals that your nerve cells sends to your brain, which produce the images you see. It's an important aspect of your vision. The coating at the back of our eyeball is called the retina.

What occurs if the retina is harmed?

Loss of eyesight is frequently caused by retinal damage. According to medical professionals, blood vessels are impacted when the retina is hurt due to a disease or an accident. Between the brain and the optic nerve, neurons are transported by the veins. Neurons die when they are harmed, which prevents the brain from receiving visual information.

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what is inertia.....​

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Answer: Inertia is an object’s resistance to a change in its motion. The greater the mass of an object, the greater the force needed to move it or stop it from moving.

Explanation: Hope this was helpful

a certain type o f elementary particle travels at a speed of 2.60x10^8 m/s at this speed the average lifetime is measured to be 4.76x10^-6s. what is the particle's lifetime at rest?

Answers

The particle's lifetime distance at rest is 1.2376 m.

Here, the particle's lifetime refers to the the distance in speed formula

Speed is the measure of average distance in a given time. It is the vector quantity.

The distance can be calculated by the product of speed and the time given.

Here, in this question, the total distance a certain elementary particle has traveled in its lifetime.

This can be determined by merely multiplying the speed with the lifetime of years.

Given,

Speed = 2.6×10⁸ m/s

Time = 4.76×10⁻⁶ s

Speed = distance / time

Distance = speed * time

Total distance = (2.6×10⁸ m/s)*(4.76×10⁻⁶ s)

Total distance = 1.2376 meters

Therefore, the distance travelled by the particle with the speed of 2.6×10⁸ m/s in the lifetime is 1.2376 m

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A great strength of correlational research is the O cause-effect sequencing of events. O ambiguity of the results. O ability to extract the influence of confounded variables. f
O act that it occurs in real-world settings.

Answers

A great strength of correlational research is the -fact that it occurs in real-world settings.

What is correlational research?

Correlational research is a form of non-experimental research methodology that employs statistical analysis to investigate the link between two variables. The impacts of unrelated factors on the variables under inquiry are not investigated by correlational research designs.

Characteristics-

1.Non-experiment: It implies that in order to support or refute a theory, researchers do not necessarily need to modify variables using a scientific technique.

2.Backward-looking: Correlational research solely considers historical information and keeps track of past events. It is measured and used by researchers to identify historical patterns between two variables.

3.Dynamic: Correlational research's patterns between two variables are never static and are constantly evolving. Due to numerous causes, two variables with a history of negative correlation studies may eventually show a positive correlation relationship.

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what is the average magnitude of the poynting vector 4.00 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 260 kw?

Answers

307.4 μW/m² average magnitude of the pointing vector 4.00 mi with an average power of 250 kw

Power is produced when a force causes a displacement. Power has no bearing on how long it takes for a force to cause a displacement. The process's pace might range from swiftly concluding to taking some time.

For example, it takes an abnormally long time for a rock climber to elevate her body a few meters over the cliff's edge. On the other hand, a trail hiker may swiftly raise her body a few meters if she selects the faster path up the mountain. Despite making the same amount of work, the hiker completes the task far quicker than the rock climber..

S-average=power/area

power=260 kw

area=4π(8045)²

S-average=260/4π(8045)²

S-average=307.4 μW/m²

Therefore, the average magnitude with average power of 260 W is 307.4 μW/m²

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If we have a new moon today, when we will have the next full moon?

in about 6 months
in about a month
in about 2 weeks
in about 1 week

Answers

If we have a new moon today, we will have the next full moon in about 2 weeks.

What is the time difference between  a new moon and  the next full moon?

The midpoint of the cycle (half of 30 = 15) is marked by the full Moon, which occurs approximately 15 days (14.8 to be exact) following the new moon. Similar to the New Moon phase, the Moon is once again in alignment with the Earth and Sun during full moon.

However, this time, the Moon is on the other side of the Earth, thus the full area of the Moon that is illuminated by the Sun is facing us. Immediately following this brief interval, visibility starts to decline.

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Write true or false:

1 Cellular respiration takes place in all the cells of living organisms.
2 All living organisms respire to get energy from food.
3 Our muscle cells do anaerobic respiration only when there is temporary deficiency of oxygen.
4. Breathing involves the movement of the diaphragm and the rib cage.
5 The percentage of carbon dioxide is higher in inhaled air in comparison to exhaled air.
6 We often feel hungry after a physical exercise.
7 Increased physical activity reduces the rate of breathing.

Answers

TrueTrueTrueTrueFalse (The percentage of carbon dioxide is higher in exhaled air in comparison to inhaled air.)TrueFalse (Increased physical activity increases the rate of breathing.)

Which of the following, if eliminated, would completely prevent the greenhouse effect from occurring on earth?


A. Chlorofluorocarbons (Incorrect)


B. Clouds (Incorrect)


C. Fossil fuels (Incorrect)


D. Acid rain


E. The ozone layer


F. Atmosphere

Answers

The green house gases can be reduced up to a limit by eliminating the fossil fuels and chlorofluorocarbons. Fossil fuels are the major source of greenhouse gases.

What are green house gases?

Greenhouse gases are those which are capable of  intense absorption of  the temperature  radiated from the earth's surface and make the earth atmosphere warm up.

Greenhouse gases are the main cause of global warming.  Carbon dioxide, methane oxides of nitrogen and sulphur are the green house gases.

Fossil fuels are rich in hydrocarbons and they release these gases when  burned. Mainly methane and other hydrocarbon gases intensely absorbs the temperature which is radiating away from the earth and thus the heat is trapped inside.

Therefore, by eliminating fossil fuels, greenhouse effect can be prevented.

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Which of the following device can be used for measurement of frequency?
a) Voltmeter
b) Ammeter
c) Stroboscope
d) None of the mentioned

Answers

A stroboscope is a tool for measuring frequency that makes use of a second reference voltage with a predetermined frequency. Ammeters are used to measure current, while Voltmeters are used to measure voltage.

Which two instruments are used to measure frequency?

We provide two different types of frequency meters among our measuring tools: laboratory frequency meters (tabletop), which have a measurement range of 0.1 Hz to 1.5 GHz, and pocket frequency meters, which have a measurement range of 10 Hz to 2,6 GHz.

What is a frequency measurement device?

A gadget that shows the periodicity of an electrical signal is a frequency meter. The employment of various mechanical frequency meters has changed over time, but since the 1970s, digital frequency counts have mostly taken their place.

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which one of the following statements concerning electromagnetic waves is false? (1.5 points) (a) electromagnetic waves carry energy. (b) x-rays have longer wavelengths than radio waves. (c) in vacuum, all electromagnetic waves travel at the same speed. (d) lower frequency electromagnetic waves can be produced by oscillating circuits. (e) they consist of mutually perpendicular electric and magnetic fields that oscillate perpendicular to the direction of propagation.

Answers

The incorrect option is (b) X-rays have longer wavelengths than radio waves

Visible light is the term used to describe radiation at wavelengths that humans can see. Your radio detects radio waves, which have much longer wavelengths than visible light. While visible light has a much longer wavelength than X-rays, the latter have much shorter ones.Radio waves are easygoing and weak. Mist can diffuse them, water can short them out, iron beams or plates can stop them. When they strike humans, they cause only a slight warming, unless kilowatts are directly focused on a body as in a microwave (which uses radio waves). We can communicate with the aid of radio waves, which are our friends.They manage to tear right through many materials, and if they do stop, they tear atoms apart into ions, molecules into fragments, often radicals.  They can mutate DNA and have often terrible consequences on progeny if they strike sperm or egg cells. You can use X-rays to image a body’s insides, but you want to be very careful about it.

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you add equal amounts of heat to two identical cylinders containing equal amounts of the same ideal gas. cylinder a is allowed to expand, while cylinder b is not. Part A How do the temperature changes of the two cylinders compare?

Answers

The temperature rise the second cylinder B is 5/3 times the temperature in the cylinder A.

Explain the ideal gas equation?PV = nRT is the equation for an ideal gas. In this equation, P stands for the ideal gas's pressure, V for the ideal gas' volume, n for the total amount of the ideal gas expressed in moles,R for the universal gas constant, and T for temperature.

The heat source for both cylinders was:

ΔQ₁ = ΔQ₂  .....eq 1

Gas will expand in a cylinder with a free piston so that the pressure is always constant.

P = constant

Then,

ΔQ₁ = n.Cp.ΔT

ΔQ₁ = n.Cp.T₀  .....eq 2

With Fixed piston for cylinder (constant volume process),

V = constant

ΔQ₁ = n.Cv.ΔT  .....eq 3

From eq 1

n.Cp.T₀  =  n.Cv.ΔT

ΔT = (Cp/Cv) . T₀

ΔT = γ T₀

For the monatomic gas (γ = 5/3)

ΔT = 5/3 T₀

Thus, the temperature rise the second cylinder B is 5/3 times the temperature in the cylinder A.

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Who of the following would be included in the Bureau of Labor Statistics' "unemployed" category?

a. Miguel, who is on temporary layoff.

b. Reta, who worked only 15 hours last week.

c. Marisa, who neither has or job or looking for one.

d. None of the above is correct.

Answers

The correct option is (d). none of the above is correct .For the "unemployed" category.

According to the Organization for Economic Co-operation and Development (OECD), unemployment is defined as those over a certain age (often 15) who are not now employed or self-employed but are nonetheless currently available for work during the reference period.The number of unemployed people as a percentage of the labour force serves as a proxy for unemployment, which is expressed as the unemployment rate (the total number of people employed added to those unemployed).

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in what range of masses are most stars found? in what range of masses are most stars found? 0.1 to 2 solar masses stars can have any mass. 0.1 to 100 solar masses 0.01 to 100 solar masses 1 to 3 solar masses

Answers

From 0.08 to 150 (or more) fold the mass of the Sun, stars' masses fall within this range.

What factors affect a star's life span?

The mass of a star affects its life cycle. Its life cycle is shorter the greater its bulk. The amount of available stuff in a star's nebula, the enormous cloud of gas and dust in which it was born, determines the star's mass.

Which stars have the most time left in them?

The majority of the galaxy's stars are red dwarf stars, but they are too faint to be seen from Earth with the human eye and remain hidden in the background. Their lifespans, which are much longer than that of the sun, are prolonged by their limited brilliance.

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Which of the following is the correct relationship of wavelength and frequency of EM waves?
a) λ = c / r
b) λ = c / f
c) λ = c / h
d) λ = h*c / f

Answers

Answer:

c=f⋅λ  (The speed of light is directly proportional to f and λ).

Explanation:

he scale of a spring balance that reads from 0 to 15.0 kg is 12.0 cm long. a package suspended from the balance is found to oscillate vertically with a frequency of 2.00 hz. (a) what is the spring constant? (b) how much does the package weigh?

Answers

The weight of the package is  mg=76.0N. In the formula , F = -kx, proportional constant k is called the spring constant.

What is spring constant?

A measure of the stiffness of the spring is known as spring constant . When a spring is stretched or compressed, then its length changes by an amount x from its equilibrium length. And then, it exerts a force F = -kx in a direction towards the equilibrium position.

a) Using Hooke’s law, we can find out:

k=(15kg)(9.8m/s 2 )/(0.12m)=1225N/m.

=1.23kN/m.

b) Given, f=2.00Hz=2.00cycles/sec  

Now, ω=2π(2.00)=4πrad/s

As we know that , ω= √k/m

=1225/​ (4πrad/s)²

=7.76 kg

Therefore, the weight of the package is  mg=76.0N.

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a commuter backs her car out of her garage with an acceleration of . (a) how long does it take her to reach a speed of 2.00 m/s? (b) if she then brakes to a stop in 0.800 s, what is her deceleration?

Answers

a. 1.43 s long does it take her to reach a speed of 2.00 m/s.

b. −1.79m/s² is her deceleration.

Calculation :

a. We are given the initial velocity, u=0 m/s, the acceleration, a=1.4 m/s² and the final velocity, v=2.00 m/s. Therefore, we shall calculate the time taken to reach such a final velocity by applying the following equation of kinematics,

v=u+at [1]

=at

∴t=v/a   [Dividing both sides by the acceleration]

=[tex]\frac{2.00 m/s}{1.4 m/s^{2} }[/tex]

=1.42857 s

≈1.43 s

It takes her 1.43 s to reach a speed of 2.00 m/s.

b. From above, the initial velocity is now, u1=1.43 m/s and the final velocity, v1=0 m/s. Thus, the deceleration, a, is calculated using the same equation [1] as follows,

v=u+at

0=u+at

∴a=−ut=[tex]\frac{-1.43 m/s}{ 0.800 s}[/tex]

= −1.7875 m/s²

≈−1.79 m/s²

Therefore, the deceleration of the car is

1.79 m/s²

In mechanics, acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. As described in Newton's second law, the magnitude of an object's acceleration is the combined effect of two sources.

The mass of this object is inversely proportional to the mass of the object, depending on the material from which it is made.

The SI unit of acceleration is meters per square second

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