A process with a negative change in enthalpy and a negative change in entropy will generally be:________

Answers

Answer 1

A process with a negative change in enthalpy and a negative change in entropy will generally be: spontaneous.

Gibbs free energy:

Since the Gibbs free energy is a parameter that tells us whether a chemical reaction is spontaneous (Gibbs free energy less than 0) or nonspontaneous (Gibbs free energy greater than 0) in this situation, we can describe it mathematically as:

                                      ΔG = ΔH - TΔS

Therefore, any process with a negative change in enthalpy and a positive change in entropy will be spontaneous. If the enthalpy and the entropy are both negative, the subtraction becomes always negative, for which the Gibbs free energy is also negative.

One of the most crucial thermodynamic functions for the characterization of a system is the Gibbs free energy. It influences results like the voltage of an electrochemical cell and the equilibrium constant for a reversible reaction, among others.

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Related Questions

What is time dilation and how does it effect aging in life around the universe.

Answers

Hi, your answer is below.

Time dilation is usually defined as the slowing of the passage of time experienced by objects in motion relative to an observer; measurable only a relativistic speeds.  Because time moves at various rates for the two of them depending on their relative velocities and/or proximity to things of considerable mass, if two persons (or objects) are moving relative to one another, they will age at separate rates. They will age differently from one another over time since their two timepieces will really tick at separate speeds. If they cross paths again later, they will both have aged differently, which may be determined by using their own timepieces, presuming they each had one. Einstein's Special and General Relativity equations, which have undergone extensive testing over the past 115 years and have never been shown to falter, regulate this "time dilation." The general relativity theory of Einstein, which states that a huge body's gravity warps space-time around it, causes time to move more quickly or more slowly depending on how far away the mass is from the observer, is what causes this so-called "time-dilation" phenomenon.

Thank you,

Eddie

What are the wavelengths of electromagnetic wave in free space that have the following frequencies?.

Answers

~400 nm to ~700 nm are the wavelengths of electromagnetic wave in free space.

What are the wavelengths of electromagnetic wave in free space?

Electromagnetic waves are categorized on the basis of their frequency f, which is equivalent to wavelength λ = c/f. Visible light has a wavelength that ranges from ~400 nm to ~700 nm. Violet light has a wavelength of ~400 nm, and having a frequency of ~7.5*1014 Hz.

So we can conclude that: ~400 nm to ~700 nm are the wavelengths of electromagnetic wave in free space.

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The wavelengths of the light are 4.3 * 10^-12 m and 0.2 m respectively.

What is wavelength?

The term wavelength has to do with the horizontal distance that is covered by a wave. We know that a long wavelength implies that the wave is able to travel a long distance from one point to another.

Given that;

c = λf

c = speed of light

λ = wavelength of ight

f = frequency of light

Thus;

λ = 3 * 10^8/ 7.00 x 10^19

λ = 4.3 * 10^-12 m

λ = 3 * 10^8/1.50 x 10^9

λ = 2 * 10^-1 or 0.2 m

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Missing parts:

What are the wavelengths of electromagnetic wave in free space that have the following frequencies? (a) 7.00 x 10^19 Hz______ pm (b) 1.50 x 10^9 Hz__________ cm

What mechanisms function to localize sound in the horizontal and vertical planes?

Answers

What mechanisms function to localize sound in the horizontal and vertical planes?

Horizontal sound localization results from two mechanisms: interaural time delay and interaural intensity difference.

What is localizing sound?

The capacity to pinpoint the position or source of a detected sound in terms of distance and direction is known as sound localization.

Numerous studies have been conducted on the mammalian auditory system's sound localization mechanisms. The auditory system uses a variety of indicators, such as spectral information, timing difference, level difference (or intensity difference) between the ears, and others, to locate the source of sound. Other animals, including birds and reptiles, employ these cues as well, however there may be variances in how they are used. In addition, there are localization cues that are not present in the human auditory system, such as the results of ear movements. It is obvious that animals that can localize sound have an evolutionary advantage.

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The main purpose of any wave, including sound waves and ocean waves, is to
carry __________ from one place to another.
A
heat

B
magnetism

C
energy

D
electricity

Answers

The main purpose of any wave, including sound waves and ocean waves, is to carry energy from one place to another.

A sound wave is the pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter). Pressure waves are produced when an object vibrates, such as a ringing phone, and these waves are known as sound waves.

A wave crest is produced when wind continuously disturbs the water's surface in an ocean or lake. Ocean waves, which often go by the name wind waves, are mostly gravity waves. The height, duration, and shape of succeeding waves vary with a certain level of randomness of ocean waves.

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A force of 12,000 n is exerted on a piston that has an area of 0. 020 m 2. What is the area of a second piston that exerts a force of 24,000 n?

Answers

The area of a second piston that exerts a force of 24,000 N is 0.04 [tex]m^{2}[/tex].

Gravitational force is measured in newtons. Utilizing the physics formula pressure = force/area, you can compute pressure if you know the value of a force. Both pounds per square inch (psi) and newtons per square meter (N/m2) are acceptable units of measurement for this pressure.

Given force 1 =  12,000 N

The pressure which has produced a force of 12,000 N at the piston 1 = Force/ area

= 12,000N / 0.020 [tex]m^{2}[/tex]

= 6,00,000 N/[tex]m^{2}[/tex]

Now force at piston 1 must be equal to force at piston 2. thus, force at piston 2 is given by:

Force at piston 2 = pressure × area

24,000 N = 6,00,000 × area

area = 0.04 [tex]m^{2}[/tex]

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A circular loop of radius r carries a current i. at what distance along the axis of the loop is the magnetic field one-half its value at the center of the loop?

Answers

At r = 0.766 R the magnetic field intensity will be half of its value at the center of the current carrying loop.

We have a circular loop of radius ' r ' carrying current ' i '.

We have to find at what distance along the axis of the loop is the magnetic field one-half its value at the center of the loop.

What is the formula to calculate the Magnetic field intensity due to a current carrying circular loop at a point on its axis?

The formula to calculate the magnetic field intensity due to a current carrying ( i ) circular loop of radius ' R ' at a distance ' x ' on its axis is given by -

[tex]B(x) = \frac{\mu_{o} iR^{2} }{2(x^{2} +R^{2})^{\frac{3}{2} } }[/tex]

Now, for magnetic field intensity at the center of the loop can calculated by putting x = 0 in the above equation. On solving, we get -

[tex]B(0) = \frac{\mu_{o} i}{2R}[/tex]

Let us assume that the distance at which the magnetic field intensity is one-half its value at the center of the loop be ' r '. Then -

[tex]\frac{\mu_{o} iR^{2} }{2(r^{2} +R^{2})^{\frac{3}{2} } } = \frac{1}{2} \frac{\mu_{o}i }{2R}[/tex]

[tex]2R^{3} = (r^{2} +R^{2} )^{\frac{3}{2} }[/tex]

[tex]4R^{6} = (r^{2} +R^{2} )^{3}[/tex]

[tex]r^{2} =0.587R^{2}[/tex]

r = 0.766R

Hence, at r = 0.766 R - the magnetic field intensity will be half of its value at the center of the current carrying loop.

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Which of the following electrical devices does NOT contain an electric motor?
A drill
B mixer
C toaster
D sander

Answers

the right answer is B

The speed of a car is increased uniformly from 11 meters per second to 19 meters per second. the average speed of the car during this interval is________.

Answers

Answer:

ΔV=Vi + Vf

           2

ΔV= 11m/s + 19m/s

                 2

ΔV= 15m/s

Explanation:

The cost electricity is 0. 10. an iron 5. 2 a of current when it is plugged into a 240 v outlet. the iron is never turned off. what is the 2 years cost of operating the iron if?

Answers

The cost of operating the iron is $2186.49.

To find the answer, we have to know about the power.

How to find the cost of electricity?We have the expression for cost of electricity as,

              [tex]cost=power(kW)*t(hours)*(price/ kWh)[/tex]

It is given in the question that, the cost per kWh is $0.10, the current is 5.2A, the voltage is 240V.We have to find the cost for two years, before that, we have to find the power and it will be,

                        [tex]P=IV=5.2*240=1248W[/tex]

2 years will be equal to

                     [tex]t=2*365*24hours=17520hours.[/tex]

Thus, the value of cost will be,

                  [tex]cost=1248*10^{-3}*17520*0.10} =\$2186.49[/tex]

Thus, we can conclude that the cost of operating the iron is $2186.49.

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What quantities determine the resistance of a piece of material? choose all that apply

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The resistance depends upon the length, area and material of the material.Option (a), (b) and (c) is correct.

Quantities that determine the resistance:

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor.

A conductor's or circuit element's resistance typically rises as temperature rises. Some conductors exhibit negligible resistance at very low cooling rates. Even after the electromotive force is removed from these substances, known as superconductors, currents still flow through them.The conductance, 1/R, is the reciprocal of resistance and is measured in reciprocal ohm units, or mho.

The complete question is:

What quantities determine the resistance of a piece of material? Choose all that apply.

a)The length of the piece of material

b)The cross-sectional area of the piece of material

c)The type of material

d)The voltage across the material

e)The current flowing through the piece of material

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(Repost again because i rly need the answer) Physics question HELP asap

Answers

The cannonball will travel 311.8 m  horizontally. Among the given options, 310 m is the correct answer.

What is a Projectile ?

A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.

The following parameters are given from the question

Ф = 30°u = 60 m/sg = 10 m/s²T = ?R = ?

Resolve the initial velocity into horizontal and vertical components. That is,

Horizontal component = ucosФVertical component = usinФ

To calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.

Total time T = 2usinФ / g

Substitute all the parameters

T = (2 x 60sin30) / 10

T = (2 x 30) / 10

T = 60 / 10

T = 6 s

The horizontal distance R = ucosФ x T

R = 60 x cos 30 x 6

R = 311.77 m

Therefore, the cannonball will travel 312 m approximately horizontally.

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Titanium's specific heat capacity is 0. 523 j/g*k. how many joules of heat are required to raise the temperature of 2. 50g of titanium from 65. 0°c to 600. 0°c?

Answers

The amount of heat required to raise the temperature is 706.05J.

To find the answer, we need to know more about the specific heat capacity.

How to find the heat required to raise the temperature?Specific heat can be defined as, the amount of heat needed to increase a substance's temperature by one degree for every gram.We have the expression for amount of heat required to raise the temperature from T1 to T2 as,

                                 Q=msΔT

We have given with the following values,

                 [tex]m=2.50g=2.50*10^{-3}kg\\s=0.523 J/gK=\frac{0.523}{10^{-3}} J/kgK=523J/kgK\\T_1=65^0C=338K\\T_2=600^0C=873K\\[/tex]

Thus, the amount of heat required to raise the temperature is,

            [tex]Q=2.5*10^{-3}*523*(873-333)=706.05 J[/tex]

Thus, we can conclude that, the amount of heat required to raise the temperature is 706.05J.

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When the current in the micro-robot’s circuit increases and the resistance of the circuit remains constant, the voltage of the circuit:________

Answers

When the current in the micro-robot’s circuit increases and the resistance of the circuit remains constant, the voltage of the circuit: increases

What is micro-robot's ?

With manual control, microrobots have demonstrated tremendous potential for carrying out microscale activities as drug delivery, cell manipulation, micro construction, and biosensing. Magnetotactic bacteria were used to illustrate the use of targeted delivery in the presence of DC magnetic field gradients. Microrobots for magnetic field-based delivery of target objects like cells and chemicals have also been investigated by other research teams. Micro-electro-mechanical systems have been used to create microgrippers for microrobots, a technique that can be used to increase the capability of microrobots in addition to targeted distribution. The kinematic models of produced microrobots have been researched in order to obtain motion control. Microrobots that are both biological and non-biological have been guided using autonomous motion planning. These devices utilize visual systems for feedback control.

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What is the unit of the quotient of inductance and resistance?

Answers

The unit of the quotient of inductance and resistance will be Henry and ohm

Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor. The field strength depends on the magnitude of the current, and follows any changes in current.

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance.

unit of quotient of inductance = henry (H)

unit of resistance = ohm

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An organization is located in an area that experiences frequent and lengthy power blackouts. what will the effect of an electric generator be in this circumstance?

Answers

Electric utility power blackouts will result in short electric power outages for the organization.

Power blackouts :

When the electrical power network, often known as the electrical grid, is down, there are power outages. Power outages can have a variety of causes, but they always tend to affect entire regions or cities rather than simply a single residence. For example, the Northeast blackout of 2003 left 50 million people without power from New York to Canada’s capital Ottawa.  

A place experiences a blackout when all power is lost. Power outages of this kind generally affect a sizable population over perhaps extraordinarily broad areas. Blackouts are particularly difficult to quickly fix because they typically result from significant damage to electrical generation facilities (such as structural damage from violent wind storms or lightning strikes). As a result, these types of outages can, in the worst-case scenarios, last for several weeks.

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A low partial pressure of oxygen promotes hemoglobin binding to carbon dioxide. This is an example of the?

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A low partial pressure of oxygen promotes hemoglobin binding to carbon dioxide. This is an example of the  Haldane effect

The less saturated hemoglobin is and the lower the partial pressure of oxygen in the blood is, the more readily hemoglobin binds to carbon dioxide. This is an example of the Haldane effect.

The Haldane effect is a property of hemoglobin first described by John Scott Haldane, within which oxygenation of blood in the lungs displaces carbon dioxide from hemoglobin, increasing the removal of carbon dioxide. Consequently, oxygenated blood has a reduced affinity for carbon dioxide.

The Haldane effect is a property of hemoglobin first described by John Scott Haldane, within which oxygenation of blood in the lungs displaces carbon dioxide from hemoglobin, increasing the removal of carbon dioxide. Consequently, oxygenated blood has a reduced affinity for carbon dioxide.

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A transverse travelling sinusoidal wave on a string has a frequency of 100hz a wavelength of 0.040m and an amplitude of 2mm the max velocity of any point on the string is

Answers

Vmax = 1.258 m/s

Maximum velocity of any point on the string is 1.258 m/s.

Maximum velocity is given by,

Vmax = Aω

where,

V = velocity

A = amplitude

ω = angular displacement

ω is given by,

ω = 2[tex]\pi[/tex]f

where f = frequency

ω = 2[tex]\pi[/tex]f

   = 2*3.147*100

   = 629.4 rad

A = amplitude = 2mm

Vmax = Aω

         = 2 ×[tex]10^{-3}[/tex] × 629.4

         = 1.258 m/s

Maximum velocity = Vmax =  1.258 m/s

Maximum velocity of any point on the string is 1.258 m/s.

What is meant by sinusoidal wave?The curve representing a smooth repeated oscillation is known as a sine wave or sinusoidal wave. The sine wave is "the wave form in which the amplitude is always proportional to sine of its displacement angle at every point in time," according to the definition. Sine waves can be added together to create any wave.

What makes a wave a sinusoidal wave?The waveform shape created by our straightforward single loop generator is then frequently referred to as a sine wave since it is seen to have a sinusoidal shape. Because it is based on the trigonometric sine function used in mathematics (x(t) = Amax. sin), this sort of waveform is known as a sine wave.

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What is the hydroxide ion concentration in a solution whose ph is 6.52 at 25 ⁰c?

Answers

The hydroxide ion concentration in a solution is 3.31*10^-8M.

To find the answer, we have to know more concentration of solution.

How to find the hydroxide ion concentration in a solution?It is given that, the pH is 6.52 at 25 degree Celsius.We have the expression for pH in terms of hydronium ion concentration as,

                     [tex]pH=-log[H_3O^+][/tex]

Thus, the hydronium ion concentration is,

                   [tex][H_3O^+]=-10^{pH}=10^{-6.25}=5.6*10^{-7}M[/tex]

We have to find the concentration of hydroxide ion, for this we have an expression,

                        [tex]K_w=[H_3O^+][OH^-]\\Where,\\K_w=10^{-14}[/tex]

Thus, the hydroxide ion concentration in a solution is,

                         [tex][OH^-]=\frac{K_w}{[H_3O^+]} =\frac{10^{-14}}{10^{-6.52}}\\\\[/tex]

                           [tex][OH^-]=3.31*10^{-8}M[/tex]

Thus, we can conclude that, the hydroxide ion concentration in a solution is 3.31*10^-8M.

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A basketball player has a 0. 603 probability of making a free throw. if the player shoots 10 free throws, what is the probability that she makes exactly 6 of them?

Answers

The probability that she makes 6 of them is 0.242

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A basketball player has a probability = 0. 603

The player shoots 10 free throws.

Let x be a random variable that represents the number of free throws made by a basketball player.

x ≈ Binomial (n,p)

p = 0.603

n= 10

P(x=k) = [tex]_nC_k p^k (1-p)^{n-k}[/tex]

P(6)    [tex]= _1_0C_6 (0.603)^6 (1-0.603)^{10-6}[/tex]

           [tex]=210 (0.048) (0.397)^4[/tex]

           [tex]=210 (0.048)(0.024)[/tex]

           [tex]= 0.242[/tex]

Therefore, the probability that she makes 6 of them is 0.242

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Metallic iron crystallizes in a body-centered cubic lattice, with one fe atom per lattice point. if the metallic radius of fe is 124 pm, what is the volume of the unit cell in pm3 and in cm3?

Answers

The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.

We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.

As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.

one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.

Now, these lattice points will contain

1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.

Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.

        [tex]d^2 = x^2+ x^2[/tex]

        [tex]d^2=2x^2[/tex]

The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.

[tex]d= r+2r+r = 4r[/tex]

This means that we have,

[tex](4r)^2=2x^2[/tex]

[tex]16.r^2 = 2x^2 \\x=\sqrt{8r^2}[/tex]

This is equivalent to

[tex]x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm[/tex]

So, the edge length of the unit cell is equal to 350.7 pm.

The volume of a unit cell. As we know, the volume of a cube is given by the formula

V = [tex]l[/tex] × [tex]l[/tex] × [tex]l[/tex]

[tex]l[/tex] = the edge length of the cube

Volume = (350.7)³ pm³

            = 4.3 × 10⁻¹⁰ pm³

            = 4.3e-30 cm³

Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.

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What is the change in temperature for the aluminum wire? c what is the change in temperature for the steel wire? c what is the change in temperature for the lead pellets? c

Answers

Answer:

-79.6

-80

-81.2

Explanation:

Fart

What is the change in temperature for the aluminum wire?

-79.6

What is the change in temperature for the steel wire?

-80

What is the change in temperature for the lead pellets?

-81.2

The air supplied to a diaphragm is 20 psig, and the diaphragm has a diameter of 6 in. how much pressure can this diaphragm apply to a plunger?

Answers

565.2 lbs pressure can apply to a plunger.

The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. symbol: p or P.

It is given that,

The air supplied to a diaphragm is 20 psig.

Diameter is 6

Then r=3

We know that,

Area=

πr²

=(3.14×3²)

= 28.26

The formula is (3.14 ×radius of diaphragm squared) ×psig.

=( 28.26 ×20)

= 565.2 lbs of pressure.

Hence, the pressure is  565.2 lbs.

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What is the maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling?

Answers

The maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling 50 pound.

A luminaire that weighs more than 23 kg (50 lb) shall be supported independently of the outlet box, unless the outlet box is listed for not less than the weight to be supported.

Luminaire, or light fixture, complete lighting unit, consisting of one or more lamps (bulbs or tubes that emit light), along with the socket and other parts that hold the lamp in place and protect it, wiring that connects the lamp to a power source, and a reflector that helps direct and distribute the light.

Fluorescent fixtures usually have lenses or louvers to shield the lamp (thus reducing glare) and redirect the light emitted. Luminaires include both portable and ceiling- or wall-mounted fixtures.

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If we want to build a telescope that detects radio waves, we must build it with a very large dish since radio waves have very large wavelengths,
a) true
b) false

Answers

Building a telescope that detects radio waves must be built with a very large dish since radio waves have very large wavelengths is regarded as a true statement and is denoted as option A.

What is Wavelength?

This is defined as the distance between two successive crests or troughs of a wave.

Radio waves have the longest wavelength in the electromagnetic spectrum which is therefore the reason why a very large dish is built to detect it.

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Two rockets approach each other. each is traveling at 0. 84 cc in the earth's reference frame. part a what is the speed of one rocket relative to the other?

Answers

The speed of one rocket relative to the other is 8.5 cc.

Let s be the frame at rest relative to the earth. Let the spaceship moving to the left with respect to the earth at speed [tex]v[/tex] be the particle in the terminology. Then the velocity of the spaceship relative to each other is simply the velocity of the second spaceship.

That for speeds small compared with the speed of light the relativistic velocity addition law gives the usual Newtonian result, whereas for speed near c the result is not what has been expected classically.

[tex]v' = 0.96cc\\\\v= 0.84cc\\\\\\v' = \frac{v+V}{1+ \frac{vV}{c^2} } \\\\v' = \frac{v+V}{ \frac{c^2+ vV}{c^2} }\\\\v' = \frac{(v+V) c^2} {c^2+ vV}\\\\\\v'c^2 + c^2v = V (c^2 - v'v)\\\\V = \frac{v'c^2+c^2v}{c^2 - v'v} \\ \\ = \frac{0.96 * 9* 10 ^1^6 + 0.84*9*10^1^6}{9*10^1^6 - 0.96 * 0.84} \\\\ =\frac{16.2}{1.9}\\ \\= 8.5 cc[/tex]

Therefore, the speed of one rocket relative to the other is 8.5 cc.

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When testing for friction loss coefficients, departments that use a pitot tube should use:_________.

Answers

When testing for friction loss coefficients, departments that use a pitot tube should use Smooth bore nozzle

The pitot tube is a simple and convenient instrument to measure the difference between static, total and dynamic pressure (or head) .

It is a device used to measure velocity in pipe, wide tunnel, aero planes , etc. Pitot tube is completely based on its principle that if the velocity of flow at any point becomes Zero. A pressure measuring instrument used to measure fluid flow speed, especially used to determine the airspeed of an aircraft

Smooth bore nozzles also use the lowest engine pump pressures, allowing for maximum reach. Smooth bore nozzles are often referred to as solid bore nozzles because they produce a solid stream to provide maximum reach and penetration to the seat of the fire.

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In general, which lens had the largest overall magnification (enlarged more than reduced)?

Answers

Convex lens  had the largest overall magnification .

In optics, It is a quantification of comparing the size of the image with respect to the size of the object. It gives us information about the image in terms of how large or small is the image formed. Magnification is defined as the ratio of the height of image to the height of object.

The convex lens has the largest overall magnification. To get maximum magnification by convex lens object must be placed between center of curvature and pole of the lens .

Magnifying glasses make objects appear larger because their convex lenses (convex means curved outward) refract or bend light rays, so that they converge or come together.

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A lorenz curve represents the cumulative percentage of total income received along the ________ and the cumulative share of population along the ________

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A lorenz curve represents the cumulative percentage of total income received along the horizontal axis and the cumulative share of population along the vertical axis.

The distribution of the cumulative percent of occurrences by the cumulative percent of population is shown graphically by the Lorenz Curve. By expanding the neighbourhood income quintile group, the horizontal axis (x-axis) of the curve shows the cumulative percent of persons in the population, and the vertical axis (y-axis) shows the cumulative percent of events in the population.

The Lorenz curve can be described as the proportion of the population that the neighbourhood income quintile represents holding the proportion of population events.

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When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor?

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When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor of 1/4.

Kinetic energy of a proton having a charge Q and Voltage V is given by:

Kinetic energy = Q×V

Where, Q is the charge

            V is the Voltage

Kinetic energy is directly proportional to the charge on a proton.

Let the kinetic energy of proton having charge 0.8C be KE₁ and kinetic energy of proton having charge 0.6C be KE₂

Hence KE₁ = 0.8 × V

KE₂ = 0.6 × V

Now, KE₁ / KE₂ = 0.8 V / 0.6 V

⇒          KE₁ / KE₂ = 4 / 3

⇒         KE₂ / KE₁ = 3/4

⇒         KE₂ = 3/4 times KE₁

Hence, the final kinetic energy becomes 3/4 times the initial kinetic energy.

The kinetic energy decreases by a factor of:

Change = KE₁ - KE₂

Change = KE₁ - 3/4KE₁

Change = 1/4 KE₁

Hence, the kinetic energy decreases by a factor of 1/4

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How much work is needed to stretch this spring a distance of 5. 0 cm , starting with it unstretched?

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The work done by the unstretched spring is 5 J.

What is the Hooke's law?

Hooke's law states that the extension of a given material is directly proportional to the force applied as log as the elastic limit is not exceeded. Thus we have to know that; F = Ke

F = force applied

K = force constant

e = extension

Using the graph;

K = F/e

F = 200N

e = 5 cm or 5 * 10^-2 m

K = 200N/ 5 * 10^-2 m

K = 4000 N/m

Now;

Work = 1/2Ke^2

Work = 0.5 *  4000 N/m * (5 * 10^-2 m)^2

Work = 5 J

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