A thin copper rod that is 1.0 m long and has a mass of 0.050 kg is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod? A thin copper rod that is 1.0 m long and has a mass of 0.050 kg is in a magnetic field of 0.10 T. What minimum current in the rod is needed in order for the magnetic force to cancel the weight of the rod? 7.6 A 2.5 A 9.8 A 4.9 A 1.2 A

Answers

Answer 1

The minimum current in the rod needed is 4.9 A for the magnetic force to cancel the weight of the rod.

What is a magnetic field?

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

A moving charge in a magnetic field experiences a force perpendicular to its velocity and the magnetic field.

Force on a current carrying rod due to the magnetic field is given as:

F = i*L*B

Where,

i is current in the rod.

L is the length of rod = 1 m

B is magnetic field = 0.10 T

Here,

The Magnetic force is balanced by the weight of the rod

i*L*B = m*g

i* ( 1 )* ( 0.10 ) = 0.05 * 9.8

i = 4.9 A

Hence, option d is correct.

The minimum current in the rod needed is 4.9 A for the magnetic force to cancel the weight of the rod.

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Related Questions

An RL series circuit is connected to an ac generator with a maximum emf of 20 V. If the maximum potential difference across the resistor is 16 V, then the maximum potential difference across the inductor is:

Answers

If the maximum emf of the ac generator is 20 V and the maximum potential difference across the resistor is 16 V Then the maximum potential difference across the inductor is 4 V.

Calculation:

Step-1:

It is given that the RL circuit is connected to a 20 V ac generator. The maximum potential difference across the resistor is 16 V. It is required to find the maximum potential drop across the inductor.

Step-2:

The maximum emf of the generator is equal to the sum of the maximum potential difference across the resistor and the maximum potential difference across the inductor.

Therefore,

The maximum potential difference across the inductor + Maximum maximum potential difference across the resistor = Maximum emf of the generator

Thus,

Maximum maximum potential difference across the inductor + 16 V = 20 V

Therefore,

Maximum maximum potential difference across the inductor = 20 V - 16 V = 4 V

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What is the formula of the force??

Answers

♨ANSWER♥

F = ma

...hope this helps...

_♡_mashi_♡_

Answer:

F = MA

Force (Newtons) = Mass (Kilograms) x Acceleration (m/s^2)

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Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.

Answers

The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).

What is contract manufacturing?

Contract manufacturing or production occurs when a small business hires another company to produce its products.

This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.

However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.

Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.

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A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will

Answers

The distance between the fringes (y) will decrease.

What is meant by double slit?

In the double-slit experiment, a beam of light is aimed at a barrier with two vertical slits. After the light passes through the slits, the resulting pattern is recorded on a photographic plate. When one slit is covered, a single line of light is displayed, aligned with whichever slit is open.

To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by

dsinθ   = mλ

λ = dsinθ /m

λ = wavelength

d= distance between slits

m = Any integer, representing the repetitions of the spectrum

If  θ is small, then sinθ = y/L  and the previous equation can be given as

λ = dy /mL

L = Length from screen with slits

y = distance between fringes

From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.

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A star is moving toward the earth at 250 km/s. What can you say about the wavelength of the h-alpha absorption line that you would detect in the star's spectrum?

Answers

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

If the object is moving towards or away from us with some radial velocity, shifts can be observed in the location of the absorption

since, material is moving towards us  a shift to shorter wavelength will be observed

shift = rest wavelength * ( radial velocity / speed of light )

        = 656 * [tex]10^{-9}[/tex] * (250 * [tex]10^{3}[/tex]  / 3 * [tex]10^{8}[/tex] )

        = 54.67 *  [tex]10^{-2}[/tex] nm

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

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Would the numerical values of the thermal coefficients would have been the same if the temperatures had been measured in Fahrenheit instead of Celsius

Answers

The numerical values of the thermal coefficients would change if the temperatures had been measured in Fahrenheit instead of Celsius.

Why would the numerical values of thermal coefficients change if the temperature is measured in Fahrenheit instead of Celsius?The amount it expands is, of course, a property of the material and cannot be altered. When we use alternative units of measurement, though, we communicate this differently. It will therefore be 9/5 of its value in "per degree C" if it is stated as "per degree F".For example:Saying the speed of light is 299792458 m/s, or 186282.397 miles per second, is equivalent. The representation alters but not the speed of light.What is the Coefficient of thermal expansion?The rate at which a material expands as temperature rises is known as the coefficient of thermal expansion (CTE). The material is assumed to still be in its solid or fluid form as this coefficient is calculated at constant pressure and without a phase transition.A material will expand more in response to heat if its coefficient of thermal expansion is higher.

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A mass m is attached to an ideal massless spring. When this system is set in motion with amplitude a, it has a period t. What is the period if the amplitude of the motion is increased to 2a?.

Answers

The period remains the same if the amplitude of the motion is increased to 2a

What is Time period?

The time period is the time taken by a complete cycle of the wave to pass a point.

The equation of the period for spring is:

[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]

Where,

Time period = T  

mass of system = M

k is the spring constant

Amplitude of the motion is a

From the equation we can say that,

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

Now if we increase the amplitude of the motion to 2a, the period of time remains the same.

Because the time period is not dependent on amplitude, it is independent of a.

Hence,

The period remains the same if the amplitude of the motion is increased to 2a.

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For elevator questions, does the weight of a person increase when the elevator is going up or if it's going down-

Answers

The weight of a person increase when the elevator is going up.

Weight of the person in the elevator

The weight of the person in the elevator is calculated as follows;

When the person is going up

F = ma + mg

F = m(a + g)

where;

a is acceleration of the persong is acceleration due to gravity

When the person is going down

F = mg - ma

F = m(g - a)

Thus, the weight of a person increase when the elevator is going up.

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Which of the following is an example of a primary source?

Answers

Answer:

An article written by a scientist .

Explanation:

Primary sources information are those that contain first  hand information probably from the place of the activities or by the original contact of the information (source ) .

So primary information is normally contained in artifact , journals , letter , dissertations manuscripts  , videos and audio recordings .

The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .

A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by a lightweight pole. The pole is free to pivot about the end where it touches the wall, as shown in (Figure 1).

Answers

The tension in the cable is 156.8 N.

What's the weight of the sign board?

Weight of the sign board is mass × acceleration due to gravity

= 8 × 9.8 = 78.4 N

What's the vertical component of tension in the string or along the opposite direction of weight?

If T is the tension in the string, T× cos 60° is the vertical component of it.

What's the tension in the string?As the vertical component of the string is along opposite to the weight of the sign board, so weight= T× cos 60°T= 78.4/cos 60° = 156.8 N.

Thus, we can conclude that the tension in the cable is 156.8 N.

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

Question: A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by lightweight pole. The pole is free to pivot about the end where it touches the wall. What is the tension in the cable?

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A 16.0 kg crate rests on a shelf 1.80 m above the floor in a warehouse. A forklift is used to raise the crate to a shelf 3.30 m above the warehouse floor. What is the increase in potential energy of the crate?
Group of answer choices

a. 240 J

b. 250 J

c. 230 J

d. 260 J

Answers

A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).

What is potential energy?

It is the energy due to the position.

A 16.0 kg (m) crate rests on a shelf 1.80 m (h₁) above the floor in a warehouse. The potential energy is:

U₁ = m × g × h₁ = 16.0 kg × (9.81 m/s²) × 1.80 m = 283 J

A forklift is used to raise the crate to a shelf 3.30 m (h₂) above the warehouse floor. The potential energy is:

U₂ = m × g × h₂ = 16.0 kg × (9.81 m/s²) × 3.30 m = 518 J

The increase in the potential energy is:

518 J - 283 J = 235 J ≈ 240 J

A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).

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Use Hooke's Law to determine the variable force in the spring problem. A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 7 inches

Answers

Work done in compressing spring =  40.833


It simply needs a three-inch compression by applying a compressive force to a 15-inch long spring. we know that  F(x)=kx. To act in displacement X and the poles' values cannot be substituted. Consequently, there will be 4. The spring constant K is therefore equal to 5, so. Three fit within this slot. We consequently derive the compressing spring constant K from this. , which is 5, 3. Now change this formula to include the value of the compressing spring constant. Four f will therefore equal 5.3 x and vice versa. Integration of four factors equals W.

In order to ensure the limit and further all of this, we currently have the range 0–7. Thus, this compressing spring task is completed. W is equal to  40.833

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When recording physical findings, which data are recorded first for all systems?

Answers

When recording physical findings, which data are recorded first for all systems: Inspection.

The definition of physical is things that are of nature or of the body. An example of physical is plantlife growing in the ground. An example of physical is someone confined to a wheelchair because of disabilities. physical indicates connected with, pertaining to, the animal or human body as a material organism.

Physical health is defined as the condition of your body, taking into consideration everything from the absence of disease to fitness level.

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And instead of tolling the bell, for church, our little sexton – sings. what is the most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines? the poet is expressing her belief that the second, more natural option is far more desirable than the first option. the poet is hinting that religious worship should be considered a gloomy and serious activity. the poet is suggesting that those who worship in nature are more formal than those who worship in church. the poet is contrasting her attitude about religion with her feelings about the natural world, which remains largely unappreciated.

Answers

The poet is expressing her belief that the second, more natural option is far more desirable than the first option.

What is the summary of some keep the sabbath going to church?

Some hold the Sabbath going to Church is set faith and meditation.

The poem explores the idea of spiritual practices in Christianity.

It additionally illustrates the speaker's angle in the direction of those practices.

According to this, it's far obligatory to put on a surplice even as attending church services.

While she wears her casual get dressed and prays to God, Some hold the Sabbath going to Church –' is one in every of Emily Dickinson's best-recognized poems.

It functions her aim to are seeking for salvation without resorting to the traditional means.

hence,

The most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines is the poet is expressing her belief that the second, more natural option is far more desirable than the first option.

Thus, option "A" is correct.

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Answer:

(A)The poet is expressing her belief that the second, more natural option is far more desirable than the first option.

Russia shut off the nord stream pipeline that supplies which nation with natural gas?.

Answers

Russia shut off the Nord Stream pipeline that supplies natural gas to Germany.

What is the Nord Stream pipeline?

A pair of offshore natural gas pipeline systems in Europe called Nord Stream cross the Baltic Sea from Russia to Germany. It consists of the Nord Stream 1 and Nord Stream 2 pipelines, both of which originate in northwest Russia, near Finland, in Vyborg and Ust-Luga, respectively. Both pipelines travel to Lubmin in the Mecklenburg-Vorpommern state of northeastern Germany.

Due to Russia's invasion of Ukraine, certification for Nord Stream 2 has been rejected. When referring to a larger network of pipelines, such as the feeding onshore pipeline in Russia and additional connections in Western Europe, the term "Nord Stream" is sometimes used.

Nord Stream joins the NEL pipeline to Rehden near Bremen in northwestern Germany and the OPAL pipeline to Olbernhau in eastern Germany at the Czech border in Lubmin.

Thus, the Nord Stream pipeline supplies natural gas to Germany.

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Cytosine is methylated resulting in 5-methylcytosine. What is the most likely outcome?.

Answers

Answer: Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.

Explanation: To find the answer, we need to know more about the methylation of cytosine.

What is methylation of cytosine?Methylation means the addition of a methyl group on a substrate of an atom.It's a form of alkylation, here a methyl group replaces a hydrogen atom.Methylation of cytosine occurs at CpG palindrome in DNA.When cytosine is methylated to produce 5- methyl cytosine, which results in a decrease in gene expression.

Thus, we can conclude that, Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.

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What is the voltage drop across the 10.0 ohm resistor?

Answers

The voltage drop across the 10.0 Ω resistor is c)120V

What is voltage drop in a circuit?

A voltage drop is an amount the voltage lowers when crossing a component from the negative side to the positive side in a series circuit. If you positioned a multimeter across a resistor, the voltage drop would be the quantity of voltage you are reading.

Voltage drop is the reduction of electrical potential along the way of a present flowing in an electrical circuit.since, all three resistors 10Ω, 20 Ω, and 30Ω are in series combination this indicates that the voltage drop across each resistor will be the same as the total voltage drop in the circuit because in parallel combination voltage stay identical in the circuit buy current gets divided in each branch

hence, the voltage drop across the 10.0 Ω resistor = 120 V

correct answer c) 120 V

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A 7.7 V power supply is connected to a 79 Ohm resistor and a 87 Ohm resistor in parallel. What is the total current through the circuit? Round your answer to 2 decimal places.

Answers

The total current through the circuit is 0. 19A

How to determine the current

We have the formula for power to be;

Current, I = V/R

Voltage = 7. 7V

Resistance in parallel = R1R2/ R1 + r2

Resistance in parallel = [tex]\frac{79 * 87}{87 + 79}[/tex] = [tex]\frac{6873}{166}[/tex] = 41. 40 Ohms

Current = [tex]\frac{7. 7}{41. 40}[/tex] = 0. 19 A

Thus, the total current through the circuit is 0. 19A

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13. Which compound is most reactive?
ethene
ethyne
ethane

Answers

Answer:

Ethyne consists of a triple bond that is most easier to be broken as compared to that of ethyne with a double bond and benzene single bonds. Therefore ethyne is most reactive among the given options.

Explanation:

Answer: Ethyne

Explanation:

Which mineral property is the least useful for identifying minerals, and why?

Answers

Color is the least useful property for identification, as the same mineral type can be found in several different colors due to impurities in the mineral.

(d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s². How much force
would accelerate the same skateboard at 6.0 m/s²?

Answers

Answer:

[tex]\huge\boxed{\sf F = 120\ N}[/tex]

Explanation:

Firstly, we need to find the mass of the skateboard.

Using formula:

F = ma

Where,

Force = f = 30 NAcceleration = a = 1.5 m/s²

30 = m (1.5)

Divide 1.5 to both sides

30/1.5 kg = m

20 kg = m

m = 20 kgNow, finding the force:

Using the same formula.

F = ma

Where,

mass = m = 20 kgAcceleration = a = 6 m/s²

F = (20)(6)

F = 120 N

[tex]\rule[225]{225}{2}[/tex]

Which definition of a compression is correct?

Answers

Compression is the term for the reduction in volume that stress causes in any object or material. Living systems as well as solids, liquids, and gases may all endure compression. For example, the pressure of the atmosphere at sea level is the standard, or reference, for most land animals, but the standard for deep-sea fishes and similar specialized forms is the normal pressure of their environment. In the latter, compression is measured against the system's volume at the standard pressure to which an organism is subjected.

Basic elements for every contract include
1) an offer,
2) acceptance,
3) ___________,
4) with legal capacity, for a legal purpose

Answers

The basic elements for every contract include

1) an offer,

2) acceptance,

3) Awareness

4) with legal capacity, for a legal purpose

What is a contract?

A contract is an agreement between two or more parties, to perform a specific job or duty. A contract is usually temporary or of fixed duration and usually governed by a written agreement.

The basic elements every contract should contain are as follows:

An offer, which encompasses the duties and responsibilities of each partyAcceptance; the offeree must decide whether to accept or reject the proposal/offer. Awareness; for a contract to be binding, the involved parties must first be aware that they are entering into an agreementLegal capacity; all contracts are subject to the laws of the jurisdiction in which they operate

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A generator coil is rotated one quarter of a full revolution, from θ = 0° to θ = 90°,
in 13.2 ms. The coil has 353 loops, and it is a square 4.62 cm on a side. If the coil
is in a uniform magnetic field of 0.991 T, what is the maximum electromotive force
induced in the coil by the generator?

Answers

The maximum electromotive force induced in the coil by the generator is 56.45 V.

Maximum electromotive force induced in the coil

emf(max) = NAB/t

where;

N is number of turnsA is areaB is magnetic fieldt is time

Substitute the given parameter and solve for maximum electromotive force induced in the coil.

Area of the loop = 0.0462 m x 0.0462 m = 0.00213 m²

emf(max) = (353 x 0.00213 x 0.991) / (13.2 x 10⁻³)

emf(max) = 56.45 V

Thus, the maximum electromotive force induced in the coil by the generator is 56.45 V.

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An inductance L and a resistance R are connected in series to an ideal battery. A switch in the circuit is closed at time t

Answers

Maximum energy stored at the time t = (L/R) ln 2 after the switch is closed

The magnetic field stops expanding when the current in a practical inductor achieves its steady-state value of Im = E/R. The power p = vi is also 0 because the voltage across the inductor has fallen to zero. As a result, the inductor's ability to store energy grows only as the current approaches its steady-state value.

The magnetic field's maximum stored energy is constant when the current is stable. The inductance of the practical inductor does not store any extra energy, but the inductor's resistance continuously loses energy. The magnetic field must continue to exist. current.
The area under the power curve represents the maximum energy stored by the inductance and is equal to the product of the average power and the elapsed time.

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Find the location of the object at times 0,1,2,. 1,000. Save the x-coordinates of the object at each time in a 1 ×1001 row vector named a11. Save t

Answers

The x-coordinates of the object at each time in a 1 ×1001 row vector named a11 using coordinate.

Coordinates are distances or angles, represented by numbers, that uniquely perceive factors on surfaces of dimensions (second) or in space of 3 dimensions.

Coordinates are hard and fast values that help to expose the exact position of a factor within the coordinated aircraft.  A coordinate aircraft is a 2nd plane that's shaped by the intersection of perpendicular traces known as the x-axis and y-axis.

clear all

close all

alpha=-0.003;

w=0.05;

A=[1-alpha,-w;w,1-alpha];

A_inv=inv(A);

x0=[1;-1];

ans1=[1];

ans2=[-1];

for i=1:1000

x0=A_inv*x0;

ans1(i+1)=x0(1);

ans2(i+1)=x0(2);

end

ans1

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If m=2000 p=2. 25 and y=6000 what is velocity

Answers

The velocity of the money at the given price, and amount of money in the time frame is 6.75.

What is Velocity of money?

The velocity of money is a measurement of the rate at which money is exchanged in an economy.

It is the number of times that money moves from one entity to another.

It also refers to how much a unit of currency is used in a given period of time.

MV = PY

V = PY/M

where;

P is priceY is transaction in time frameM is amount of money

Substitute the given parameters and solve for velocity;

V = (2.25 x 6000) / 2000

V = 6.75

Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.

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Calculate the net force on particle q1. First, find the direction of the force particle q2 is exerting on particle q1. Is it pushing to the right, or to the left?

Answers

The net force on particle particle q1 is 13.06 N towards the left.

Force on q1 due to q2

F(12) = kq₁q₂/r₂

F(12) = (9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶)/(0.25²)

F(12) = -14.41 N  (towards left)

Force on q1 due to q3

F(13) = (9 x 10⁹ x 7.7 x 10⁻⁶ x 5.9 x 10⁻⁶)/(0.55²)

F(13) = 1.352 N (towards right)

Net force on q1

F(net) = 1.352 N - 14.41 N

F(net) = -13.06 N

Thus, the net force on particle particle q1 is 13.06 N towards the left.

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Answer:

its +

Explanation:

mechanical equivalent of heat Do the data for the second part of the experiment support or refute the second hypothesis

Answers

The data for the first part of the experiment support the first hypothesis. As the force applied to the cart increased, the acceleration of the cart increased. Since the increase in the applied force caused the increase in the cart's acceleration, force and acceleration are directly proportional to each other, which is in accordance with Newton's second law.

When we state something about the results on the basis whether the observed data supports the original hypothesis, we say that we are concluding the results.

What is the relationship between force and acceleration based on Newton's 2nd law?

Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

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iron mining in south africa

Answers

Answer:

In 2021, South Africa's production of iron ore amounted to an estimated 61 million metric tons. South Africa is one of the world's largest producers of iron ore. As of 2021, South Africa was the ninth-largest iron ore producing country in the world.
Other Questions
Memories lasting for a few hours, such as recalling an incident earlier in the day, may be due to which of the following?-Presynaptic inhibition-Posttetanic potentiation-Parallel after-discharge a deposit of $ 20 $20 cash into a checking account in a bank would be shown in the t-account of the bank as Why is customer waiting lower when queues are pooled relative to when queues are dedicated?a) Working together causes service providers service rates to increaseb) The pooled queue is longer than the dedicated queues, causing some customers not to seek service, decreasing the arrival ratec) Pooled queues have less variable service timesd) In pooled queues, servers have higher utilizatione) In pooled queues, servers have lower utilizationf) None of the above Which is the best analysis for this passage in Mary Shelley's Frankenstein?How can I describe my emotions at this catastrophe, or how delineate the wretch whom with such infinite pains and care I had endeavoured to form? His limbs were in proportion, and I had selected his features as beautiful. Beautiful! Great God! His yellow skin scarcely covered the work of muscles and arteries beneath; his hair was of a lustrous black, and flowing; his teeth of a pearly whiteness; but these luxuriances only formed a more horrid contrast with his watery eyes, that seemed almost of the same colour as the dun-white sockets in which they were set, his shrivelled complexion and straight black lips.The different accidents of life are not so changeable as the feelings of human nature. I had worked hard for nearly two years, for the sole purpose of infusing life into an inanimate body. For this I had deprived myself of rest and health. I had desired it with an ardour that far exceeded moderation; but now that I had finished, the beauty of the dream vanished, and breathless horror and disgust filled my heart. - Darrell Morris has a family plan. The HMO annual premium is $12,240. The employer pays 90% of the cost.a) How much is Darrell's annual contribution? b) How much is his semimonthly deduction? for geotechnical exploration, projects can be divided into three major types based on risk. name and define them. fuzzy set has a graphical description that expresses how the transition from one to another takes place. This graphical description is called a membership___ Find the arc length of the curve below on the given interval.x=(y^4/4)+(1/8y^2) for 2 Determine if the set is a basis for R3. Justify your answer. -1 -4 7 0 -7 -5 -2 - 11 3 Is the given set a basis for R3? A. No, because these vectors do not form the columns of a 3x3 matrix. A set that contains more vectors than there are entries is linearly dependent. B. Yes, because these vectors form the columns of an invertible 3x3 matrix. A set that contains more vectors than there are entries is linearly independent. C. Yes, because these vectors form the columns of an invertible 3 x 3 matrix. By the invertible matrix theorem, the following statements are equivalent: A is an invertible matrix, the columns of A form a linearly independent set, and the columns of A span R". D. No, because these vectors form the columns of a 3x3 matrix that is not invertible. By the invertible matrix theorem, the following statements are equivalent: A is a singular matrix, the columns of A form a linearly independent set, and the columns of A span R". a coin is flipped 5 times. each outcome is written as a string of length 5 from {h, t}, such as thhth. select the set corresponding to the event that exactly one of the five flips comes up heads. what type of immune disorder is characterized by antibodies that attack ones own body cells and tissues? A line has vector form r(t) 2, 0) (3,-5) Find the coordinate functions The coordinate functions of the line parametrized by: r(t) - (6t- 1,9t+ 2). are x(t) The y-coordinate of the line, as a function of t, is y(t) = maternal effect gene products are most likely going to affect what stage in development? a. specification b. differential transcription c. activation d. determination e. differentiation how many signals would you expect to see in the proton nmr spectrum of the following compound? please input a numerical (e.g., 1, 2, 3, 4, etc.) response. a nurse is collecting data on a client who has received a preoperative dose of morphine kellen and thomas are mistaken as to the facts surrounding their contract. what is absent when a mistake of fact occurs? find the code polynomial (in systematic form) for m(x) = 1 x^2 x^4 estimate the tkn associated with a sample having 50 mg/l of cell tissue and 10 mg/l of ammonia. assume cell tissue has a molecular composition of c5h7o2n biological rhythms are controlled by biological clocks, which include which of the following? a.Annual cycles b.Twenty-four hour cyclesc.Sleep cycles Using the following assumptions, determine the solids retention time, the cell wastage flow rate, and the return sludge flow rate for the ACME Hospital WWTP.Assume:Allowable BOD5 in effluent = 25.0 mg/LSuspended solids in effluent = - 20.0 mg/LWastage is from the return sludge lineYield coefficient = 0.55 mg VSS/mg BODs removedDecay rate of microorganisms = - 0.065 d^-1Inert fraction of suspended solids = -55.5%