it is known that the electric force of repulsion between two electrons is much stronger than the gravitational attraction. for two electrons at a distance d apart, calculate the ratio of the size of the electrostatic repulsion to that of the gravitational attraction.

Answers

Answer 1

The ratio of the size of the electrostatic repulsion to that of the gravitational attraction is 4.17×[tex]10^{42}[/tex]


Related Questions

The resolution of radio telescopes suffers greatly from the large wavelengths of the light they are observing. What can be done to a radio telescope to improve its angular resolution?.

Answers

The resolution of radio telescopes suffers greatly from the large wavelengths of the light they are observing. To improve the angular resolution, it can be done to a radio telescope by making its dish bigger.

If the diameter of the objective is large, the value of  Δθ will be small. This points out that the telescope will be having resolving power of better experience if it is large. Because for this reason in order to get a better resolution, a large diameter objective type should be occupied by a particular telescope.

The resolution of the telescope is unable to get better because to attempt better resolution, we need a telescope with a high-quality lens or mirror as well as the presence of a large aperture.

In general, resolving power is inversely proportional to the diameter of the particularly given object. So when the larger the diameter and the smaller the angle, then we get an advanced result of better angular resolution, and also the telescope having a large diameter contained mirror would be showing a better view of resolving power.

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Deflagration-to-detonation transition is associated with which type of explosive?

Answers

The term "deflagration to detonation transition" (DDT) describes a phenomenon that occurs in combustible gas and air (or oxygen) combinations when a quick change occurs from a deflagration type of combustion to a detonation type of explosion.

The general process by which a subsonic combustion wave (deflagration or flame) transforms into a supersonic combustion wave is known as the deflagration-to-detonation transition (detonation). Explosives are chemicals that contain a sufficient amount of oxygen within their molecules. When they are started, they could detonate disastrously or burn furiously, sending shock waves (detonate). Primary explosives are those high explosives that are extremely sensitive to heat, shock, or friction and are the main component of blasting caps or primers that set off other explosives.

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What kind of boundary is shown in the image below?



Convergent
Divergent
Collisional
Transform

Answers

Answer:

ambt kaon✌️jhrhriekeieieieiei

Explanation:

iwuejejwiowksj

What do you observe when you hold your largest plastic shopping bag square between the light source and the wall

Answers

The thing i observe if  I hold a largest plastic shopping bag square between the light source and the wall is that since the plastic is Translucent, it  allow some measures of light to pass through it.  When light hits the translucent materials, since it is big and little thicker, only some of the light went through them.

What happens to light when it travels through air and meets an opaque surface?

As light travels through air as well as into a clear material (such as glass), it speed is altered, and light is said to be reflected and also refracted by the said glass

Note that  Light can pass through some kind of materials, such as glass, water, plastic that is clear and transparent materials.

Therefore, The thing i observe if  I hold a largest plastic shopping bag square between the light source and the wall is that since the plastic is Translucent, it  allow some measures of light to pass through it.  When light hits the translucent materials, since it is big and little thicker, only some of the light went through them.

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What Happens to a moving object if NO unbalanced force acts upon it?

Please Answer! Ill Mark Brainliest

Answers

Answer:

it will stop after some time

How+many+time+constants+must+elapse+if+an+initially+charged+capacitor+is+to+discharge+55%+of+its+stored+energy+through+a+resistor?

Answers

4 time constants must elapse if an initially charged capacitor is to discharge 55% of its stored energy through a resistor.

What do you understand by the term capacitor?

A capacitor is created with the two metal plates and an insulating material known as a dielectric. The metal plates parallel but are placed very close to each other . The dielectric is placed between them to make sure they don't touch each other.

What is a capacitor used for?

Capacitor is a device used for storing electrical energy. A simple example of such a storage device is the parallel-plate capacitor.

How many types of capacitors are there?

There are two major types of capacitors: Fixed Capacitors and Variable Capacitors. They include non-polarized and polarized for the fixed group and tuning and trimming for the variable group.

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a string that is under 49.0 n of tension has linear density 4.70 g/m . a sinusoidal wave with amplitude 2.50 cm and wavelength 1.50 m travels along the string.

Answers

A string that is under 49.0 n of tension has linear density 4.70 g/m . a sinusoidal wave with amplitude 2.50 cm and wavelength 1.50 m travels along the string is Vmax = 10.675.

To find the maximum velocity, the given values are,

Density = 4.70 g/m

Amplitude = 2.50 cm

Wavelength = 1.50 m

Force = 49 N.

What is sinusoidal wave?Sinusoidal wave in graphical representation of linear projection of an object moving with SHM. Sine Wave Characteristics are, Amplitude Period or frequencyPhaseAmplitude Represents strength or magnitude of vibration over time.Period and Frequency are Inversely related - as period increases (gets longer), frequency decreases (gets lower) - as period decreases (gets shorter), frequency increases (gets higher)

velocity of wave v = √t/μ

v = √49/√4.7 * 10^-3

= 102.1 m/s

w = 2 π f

   = 2 π (v/λ)

   = 2 π (102.1/1.5)

   = 427.04

Max speed Vmax = Aw

Vmax = 2.50 * 10^-2 *427.04

Vmax = 10.675

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What are Robert Godard’s ideas

Answers

Answer:

Explored the practicality of using rocket propulsion to reach high altitudes, even the moon (1912)Proved that a rocket will work in a vacuum, that it needs no air to push against.Developed and fired a liquid fuel rocket

Explanation:

vector c has a magnitude of 27.0 m and points in the −y‑ direction. vectors a and b both have positive y‑ components, and make angles of α

Answers

Both the x and y components of A+B+C will individually be zero for the given vector.

What do you mean by vector?

In both mathematics and physics, the term "vector" is used informally to describe certain quantities (also known as "scalars") that cannot be described by a single number or by the constituent parts of some vector spaces. It is possible to add and scale both geometric vectors and tuples. These vector operations gave rise to the idea of a vector space, which is a set that is equipped with both a vector addition and a scalar multiplication and satisfies some axioms that generalize the key characteristics of operations on the aforementioned types of vectors. The terms Euclidean vector space and coordinate vector space are used to describe vector spaces constructed from geometric vectors and tuples, respectively.

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Disease samples from two patients were collected and subjected to serial dilutions before running an elisa. What does it mean if the disease can be detected in samples from one person only at a dilution of 1/5, but the disease can be detected in the other patient at a dilution of 1/5 and 1/100?.

Answers

If diseases can be detected with the samples of serial dilution means that both patients have the disease. But, the second patient has the disease at a higher level than the first patient.

ELISA test stands for enzyme-linked immunosorbent assay test. This test is performed to detect the amount and the type of antibodies for a disease present in your blood. ELISA test may be performed to diagnose the diseases like syphilis, HIV, Lyme disease, rotavirus, zika virus, etc.

Serial dilution is a process of performing dilution of a sample in a series to know the number of organisms present in that sample. In a dilution of 1:5, the concentration is lesser than the 1/100 dilution, it is more likely to provide lesser numbers of pathogen colonies.

In 1/5 dilution, a total of 5 parts comprise 1 part of the sample as solute and 4 parts of the diluent or solvent. While, in a dilution of 1/100, a total of 100 parts comprises 1 part of solute and 99 parts of solvent. 1/100 would provide a large number of disease-causing organisms in the sample.

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he sum of internal energy and the term prho, where p represents pressure and rho represents density, gives the .

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In thermodynamics, the internal energy is the quality or state function that characterizes a substance's energy when capillary effects and other external magnetic, electric, and other fields are not present.

The entire electricity of a closed machine is referred to as internal electricity (U) in chemistry and physics.

The device's kinetic power and capacity energy together make up the machine's inner energy. internal strain is a dimension of how a device's inner electricity shifts for the duration of growth or contraction at a certain temperature.

strain, whose SI unit is the pascal, has the equal dimensions because it. perfect gases' internal energy and enthalpy are best depending on temperature; neither volume nor stress play a position. Enthalpy is the overall heat content of a gadget, while internal strength is the whole strength contained in a gadget. the full of internal power and the end result of stress-quantity paintings is called enthalpy.

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Despite life not being possible on earth upon the demise of our sun, there will always be somewhere in our universe where it is possible.
a. true
b. false

Answers

Despite life not being possible on earth upon the demise of our sun, there will always be somewhere in our universe where it is possible.

This statement is true.

What is universe ?

Everything exists in the cosmos. It encompasses all of space as well as the matter and energy that it holds. Even time is a part of it, and you are obviously a part of it. Along with the other planets and their numerous moons, Earth and the Moon are all components of the cosmos.

In general, the universe can take one of three forms: a flat universe, a spherical or closed universe (positive curvature), or a hyperbolic or open universe (negative curvature).

The clichéd response is that since space and time were both formed at the big bang, which occurred approximately 14 billion years ago, there is nothing outside of the cosmos. Beyond the observable universe, which may be 90 billion light years vast, however, is where most of the universe exists.

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Using your model create the following scenarious first quarter moon

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The first quarter in which half the Moon appears illuminated, occurs when the Moon is at a right angle with respect to the Sun when viewed from the Earth.

How do moon's different illumination occur?

The Moon is a non illuminating celestial object and doesn't have its own light but reflects the light of the sun and with change in angle between moon and Sun the different phases of the moon appear as seen from earth.

Given:

The Moon is in the first quarter of illumination.

In the first quarter of the moon the only one-fourth of the sun is illuminated and is observable from earth.

For this to happen only the visibly i.e. one-fourth of the moon should be reflecting back the light of the sun.

For this to happen the moon shouldn't be completely opposite to the sun behind the earth. But rather at right angles with respect to the sun when seen from earth.

Therefore, The first quarter in which half the Moon appears illuminated, occurs when the Moon is at a right angle with respect to the Sun when viewed from the Earth.

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2)
2H₂O → 2H₂ + O₂
Describe the mass of the reactants and products given the balanced chemical reaction.

Answers

Reactants are substances that are present at the beginning of a chemical reaction.

Products are the substance(s) to the right of the arrow. A substance that remains after a chemical reaction is complete is known as a product.

Consider the balanced chemical equation:

2H₂O → 2H₂ + O₂

Hydrogen and oxygen are the reactants, and water is the product in the balanced equation.

The reactants and product symbols and formulae are known from the aforementioned equation.

One oxygen molecule and two hydrogen atoms unite to form two water molecules.

The ratio of reactant to product is 2 : 1 : 2.

The total mass of products is equal to the total mass of the reactants according to the law of conservation of mass.

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Consider a sample of gas that contains 775 moles of smokestack gas. how many molecules of so2 are contained in this sample?
2.04 x 10 12

Answers

The final result comes out to be 1.25 x 10¹² molecules. of so₂ contained in this sample .

This problem requests SO₂ molecules at equilibrium in exchange for a chemical process at equilibrium and its pressure-based equilibrium constant. The final result comes out to be 1.25 x 1012 molecules.

What are molecules ?

[tex]K_{p}[/tex] = 1/([tex]PSO_{2}[/tex]×[tex]PO_{2}^{1/2}[/tex])

[tex]PSO_{2}[/tex] = [tex]9.17[/tex]×[tex]10^{-16} atm[/tex]

Thus, we obtain the mole fraction of SO2 as follows:

[tex]xSO_{2}[/tex] = [tex]4.37[/tex]×[tex]10^{-15}[/tex]

The moles of SO2 in the 475 moles of the gas mixture are calculated using this mole fraction, and the molecules are calculated using Avogadro's number.

molecules = 475 × [tex]4.37[/tex]×[tex]10^{-15}[/tex]×[tex]6.022[/tex]×[tex]10^{23}[/tex] = 1.25 x 10¹² molecules.

If they contain more than one, they may contain different atoms or the same atoms (for instance, an oxygen molecule has two oxygen atoms) (a water molecule has two hydrogen atoms and one oxygen atom). The number of atoms in biological compounds like DNA and proteins can reach thousands.

A molecule is the smallest unit of any material that is composed of one or more elements and is capable of existing independently while maintaining all of the substance's physical and chemical properties.

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Please answer asap
Physics

Answers

OA = speed is increasing and acceleration is positive. AB=acceleration is zero and speed is constant. BC=speed is decreasing and acceleration is negative. The situation can represent a car starting from rest moving with a constant acceleration and then coming to a complete stop. Hope this helps :))

Why is it important to scientists for a hypothesis to be testable? How would the experiment differ if it were not? What is an example of each type? Write 3-5 sentences

Answers

The experiment wouldn't exist if the hypothesis were not testable, because, as it says, the hypothesis is untestable. Thus, no experiment can be done, and the hypothesis will always be neither true nor untrue because of lack of evidence either way.

Two+rocket+ships+approach+a+space+station+at+80%+of+the+speed+of+light.+each+pilot+observes+the+other+ship+approaching+at+____+the+speed+of+light.

Answers

Two rocket ships approach a space station at 80% of the speed of light. Each pilot observes the other ship approaching at 98% the speed of light.

What is the "Fastest" Speed of Light?

Light moves at a constant, finite speed of 186,000 miles per second. A traveler traveling at the speed of light would circumnavigate the globe 7.5 times in one second. In comparison, a traveler in a jet aircraft traveling at 500 mph would cross the continental United States once in 4 hours.The speed of light in a vacuum, denoted c, is a universal physical constant that is important in many fields of physics. The speed of light c equals 299,792,458 meters per second.The speed of light is shared by all forms of electromagnetic radiation, including visible light. Light and other electromagnetic waves appear to propagate instantly for many practical purposes, but their finite speed has noticeable effects over long distances and with very sensitive measurements. Starlight seen from Earth long ago left the stars, allowing humans to study the history of the universe by viewing distant objects.

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What is the correct sketch of the electric field lines in the region between the plates that includes the effect of the conducting sphere.

Answers

electric lines of pressure are the important thing idea that turned into employed to conquer the issue.

Use the truth that an electric field always extends outward from a fine price as a start line. The fact that the electrical traces of force continually factor toward the bad charge will later be useful. eventually, create the drawing based on the instances.

wonderful charge to bad charge is the route in which the electric strains of pressure are always oriented. because the electric discipline constantly factors from negative charge to superb charge, draw the photograph thus.

parent 1 is visible below:

The truth that the electric discipline traces always factor from wonderful to terrible charge is used to create the lines with out accounting for engaging in spheres. knowing that there is a accomplishing sphere between the plates allow you to draw the diagram.

determine 2 is seen below:

The drawing makes use of the conducting sphere this is sandwiched among the parallel plates.

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F a = 2.0 cm, b = 3.0 cm, and i = 43 a, what is the magnitude of the magnetic field at point p?

Answers

The net magnetic force is 31.4×[tex]10^{-5}[/tex] T.

What is magnetic force?

Data;

a = 1.0cm

b = 3.0cm

i = 30a

B = ?

The magnetic field at point 2 will be

[tex]B_{2}[/tex] = (μI/4[tex]\pi[/tex][tex]R^{2}[/tex]) ×Ф

[tex]B_{2}[/tex] = [tex]47.1[/tex]×[tex]10^{-5}[/tex] T

The magnetic field due at point 4 will be

[tex]B_{4}[/tex] = (μI/4[tex]\pi[/tex][tex]R^{2}[/tex]) ×Ф

[tex]B_{4}[/tex] = [tex]15.7[/tex]×[tex]10^{-5}[/tex] T

The direction of magnetic field due to 2 and 4 are in the opposite direction.

The Net magnetic force is

B =  [tex]47.1[/tex]×[tex]10^{-5}[/tex] - [tex]15.7[/tex]×[tex]10^{-5}[/tex]

B = 31.4×[tex]10^{-5}[/tex] T

One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges. When two charge-containing objects move in the same direction, a magnetic attraction pulls them together.

A magnetic field, a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. When a charge moves through a magnetic field, a force that is perpendicular to both its own velocity and the magnetic field operates on it. A permanent magnet's magnetic field pulls on ferromagnetic materials like iron and draws or repels other magnets.

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a proton is located at 3 ✕ 10−10, −2 ✕ 10−10, −3 ✕ 10−10 m.(a) what is r, the vector from the origin to the location of the proton?r

Answers

a proton is located at 3 ✕ 10−10, −2 ✕ 10−10, −3 ✕ 10−10 m.

The vector from the origin to the location of the proton-2 x1000 1165x1000

Proton located at 6x100 5x100 - 2x 1070 Dileetar from Origins to location of Protors

= (67+-59-2 Ê ) x100 :

(69-59-2K) x1000 (6x1000) /_ (5x1010) 9 -(2x1599)

2 Magnitude of t, 11-16x1600) + (-5x1000) of (-2x1000)

136+25+4 x colo

3 unit vector, î = = 61-55-2 x1000 1165x1000

What is Proton ?

Protons and neutrons are composed of two types: up quarks and down quarks. Each up quark has a charge of +2/3. Each down quark has a charge of -1/3. The sum of the charges of quarks that make up a nuclear particle determines its electrical charge.

A proton is one in every of three foremost debris that make up the atom. Protons are found inside the nucleus of the atom. this is a tiny, dense region on the center of the atom. Protons have a high-quality electric price of one (+1) and a mass of 1 atomic mass unit (amu), which is set 1.sixty seven×10−27 kilograms.

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what is the answer log the object that is decelerating?

Answers

Answer:

-3.33m/s^2

Explanation:

From the graph, we can read that the object between segments C and D changed its velocity from 10m/s to 0m/s over 3 seconds.

(0m/s - 10m/s) / 3s = -10 / 3 * m/s^2 = -3.3333... m/s^2

shot from a cannon in 1998, david "cannonball" smith set the distance record for being shot from a cannon (56.64 m). during a launch in the cannon’s barrel, his speed increased from zero to 80 km/h in 0.40 s. while he was being stopped by the catching net, his speed decreased from 80 km/h to zero with an average acceleration of 180 m/s2m/s2. what can you determine about smith’s flight using this information?

Answers

From this information, it can be determined that

acceleration of the shot = 56 m/s^2

stoppage time = 0.123s

stoppage path length = 1.37m

Calculation

The average acceleration while being shot by definition

a = [tex]\frac{\frac{80}{3.6} }{0.4}[/tex] = 56 m/s^2

Assuming that there is a constant acceleration we can determine the path covered during his acceleration as

s = 1/2a (0.4s)^2 = 4.5m

then we can find the stoppage time as

t3 = [tex]\frac{\frac{80}{3.6} }{180}[/tex] = 0.123s

Then the stoppage path length is defined as

s3 = [tex]\frac{(80/3.6)^2}{2a}[/tex] = 1.37m

Then the path length of travel with constant velocity is

s2 = 56.64m -s1 - s2 = 50.77m

Then time of flight

t2 = [tex]\frac{s_{2} }{80/3.6}[/tex] = 2.28s

Then we can determine the total time of flight as

t = t1 + t2 + t3 = 2.8s

Thus, we have

ashot = 56m/s^2

tstop = 0.123s

[tex]\delta x[/tex]stop = 1.37m

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A conducting sphere has charge q and radius r. if the electric field of the sphere at a distance r=2r from the center of the sphere is 1100 n/c, what is the electric field of the sphere at r=4r?

Answers

The electric field of the sphere at r=4r is 34.38 N / C

We know that,

E = kQ / [tex]r^{2}[/tex]

p = Q / V

where,

E = Magnitude of Electric field

k = Coulomb's constant

r = Radius

p = Charge density

Q = Electric Charge

V = Volume

Given that,

[tex]E_{2r}[/tex] = 1100 N/C

k = 8.99 x 109 N [tex]m^{2}[/tex]/[tex]C^{2}[/tex].

V = 4 / 3 π [tex]r^{3}[/tex]

Let us consider a charge of Q uniformly distributed throughout the sphere.

p = Q / [ ( 4 / 3 ) π [tex]r^{3}[/tex] ]

Let the charge at 2r be considered as q

At 2r,

q = p * ( 4 / 3 ) π [tex](2r)^{3}[/tex]

q = Q / [ ( 4 / 3 ) π [tex]r^{3}[/tex] ] * ( 4 / 3 ) π 8 [tex]r^{3}[/tex]

q = 8Q

[tex]E_{2r}[/tex] = ( k * 8Q ) / [tex](2r)^{2}[/tex]

1100 = 2 ( kQ / [tex]r^{2}[/tex] )

kQ / [tex]r^{2}[/tex] = 550

[tex]E_{4r}[/tex] = kQ / [tex](4r)^{2}[/tex] = 550 / 16

[tex]E_{4r}[/tex] = 34.38 N / C

The magnitude of electric field is the strength of electric field. If the charge is higher the electric field is stronger. It is denoted using E.

Therefore, the electric field of the sphere at r=4r is 34.38 N / C

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Juan and sergei are making a display about water conservation. To make a greater visual impact, they decide to add blue food coloring to the water, but just enough that it is noticeable. Juan adds 2 drops of food coloring to the water, and stops because he can see the blue color. Sergei tells him to put another drop in because he doesn’t see any blue yet. Juan’s _______________ is probably lower than sergei’s.

Answers

Juan's absolute threshold is probably lower than Sergei's.

The lowest level of a stimulus that an organism can perceive is known as an absolute threshold. This definition has its roots in psychophysics and neurology. In light of the signal detection theory, the absolute threshold has been redefined as the point at which a stimulus will be detected a specific percentage of the time (usually 50%).

Goals and expectations of the subject, cognitive processes, and the degree of stimulus adaptation are only a few of the numerous factors that could have an impact on the absolute threshold. An absolute threshold is the minimal stimulus intensity that can be identified and is frequently thought to occur at least 50% of the time. The adage, which applies to any stimuli, is extensively used in experimental neuroscience research.

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if the magnitude of charges on these source charges is arranged in a descending order, which is the correct sequence?a. a, b, c, db. b, d, c, ac. c, a, b, dd. d, b, a, ce. b, c, a, d

Answers

The magnitude of the source charge is indicated by the outward arrows. The greater the number of arrows, the greater its strength. This is because each arrow represents the electrical force exerted by the source. If we add up all the arrows present, the electric force will be even greater. The descending order of the answers is C > A > B > D.

What is electric charge?

Electric charge is a physical property of matter that imparts a force on charged matter when placed in an electromagnetic field. Charge can be positive or negative (typically carried by protons and electrons, respectively). Similar charges repel and dissimilar charges attract. An object with no net electric charge is said to be neutral. Early knowledge of how charged matter interacts, now called classical electrodynamics, is still accurate for problems that do not require consideration of quantum effects. Charge is a conserved property. The net charge of the isolated system (the amount of positive charge minus the amount of negative charge) does not change. It is denoted by Q.

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the home owner report that sometimes the electric furnace trip the 240-v 60-a circuit breaker connected to it

Answers

The homeowner has reported that sometimes the electric furnace trips the 240-V, 60-A circuit breaker connected to it. Upon examination, it is found that the furnace contains three 5000-W heating elements designed to turn on in stages.

Solution

The power rating of the circuit breaker = volt x current

= 240 x 60

= 14400 W

So, we have 3 units of 5000W each.

Explanation and Recommendation

When the first unit is turned on, the consumption is 5000W and the circuit breaker does not trip. When two of the 5000W units are turned on, it adds up to a consumption of 10000W.

The circuit breaker is still intact. But when the 3rd 5000W unit is turned on, the consumption reached to 15,000W which is greater than the 14,400W mark, and thus the circuit breaker trips off.

So, switching on all three units at once can cause the circuit breaker to trip off.

So, the recommendation would be that at a particular time maximum of two units can be turned on.

Even such, the two units cannot be turned on in series or they won’t receive 240 V each.

Another recommendation would be to use a circuit breaker of a higher power rating, more than 15,000W so that there will be no tripping.

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If the concentration of mercury in a water supply changes from 65 ppm to 7 ppm in a ten-year period, what is the percentage change of the mercury concentration?

Answers

The percentage change of the mercury concentration is 89.2 %

We know that,

Percentage change = [ ( Final value - Initial value ) / Initial value ] * 100

Given that,

Initial value = 65 ppm

Final value = 7 ppm

Time = 10 years

Time is not necessary in a percentage calculation because no matter how it took for something to change only the changed quantity matters.

Percentage change = [ ( 7 - 65 ) / 65 ] * 100

                                 = 0.8923 * 100

Percentage change = 89.23 %

In a percentage change initial value is absolute as it cannot be changed.

Therefore, the percentage change of the mercury concentration in a ten year period is 89.2 %

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if an arrow is shot upward on mars with a speed of 66 m/s, its height in meters t seconds later is given by y

Answers

Finding the common slope of the placement function for the term you're interested by will let you decide the common pace.

the absolute value of velocity is common pace, then again.

average pace and average pace are the same if the arrow constantly actions at a regular tremendous or bad speed. we will first pick out the places of high-quality and negative velocities.

Find the velocity equation first. It is y(derivatives: )'s

y'(t) = v(t) = [tex]66 - 3.72t[/tex]

Next, find the positive and negative values of this:

v(t) = 0 when t = [tex]66/3.72 = 17.74[/tex] seconds.

this means that v(t) is continually fine for all 3-time durations. As a result, all we want to do is calculate the average slope of y(t) during each period.

The average slope equation is made up of the slope between the beginning and finishing points = [tex][f(b) - f(a)]/(b-a)[/tex]:

Therefore, these are the calculations:

(i) vavg = [tex][y(2) - y(1)]/(2-1)[/tex]

(ii) vavg = [tex][y(1.5) - y(1))]/(1.5-1)[/tex]

(iii) vavg = [tex][y(1.1) - y(1)]/(1.1-1)[/tex]

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What is the length of this tube if its fundamental frequency equals a typical speech frequency of 250 hz? the speed of sound in the warm air is 350 m/s.

Answers

The length of the tube is 0.25 m.

Frequency is defined as the number of waves that pass through a point in a unit of time. Energy and frequency are directly proportional to each other. It means with an increase in energy, frequency also increases. The SI unit of frequency is hertz. Hertz is denoted by the symbol Hz.

The formula of frequency is,

[tex]frequency= \frac{1}{Time \: period} [/tex]

[tex]f = \frac{1}{T} [/tex]

Frequency of the tube = 250 Hz

Speed of the sound in the warm air = 350 m/s

The length of the tube is,

[tex]Frequency = \frac{Velocity}{Length}[/tex]

[tex]f = \frac{ V}{4L}[/tex]

[tex]L = \frac{ V}{4f}[/tex]

[tex]L = \frac{350}{4 \times 250} [/tex]

[tex]L = 0.25 \: m[/tex]

Therefore, the length of the tube is 0.25 m.

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