show that the following units are equivalent: 1v × 1a = 1 j/s.

Answers

Answer 1

We can prove that 1 V × 1 A is equivalent to 1 J/s using the representation of Volts, Amperes, and Joules in Ohms law.

1 volt (V) is represented as the potential difference among two points in a circuit that holds one ampere (A) of current when a force of one watt (W) is scattered between those points.

1 ampere (A) is described as the continuous current that, if held in two consecutive similarity conductors of indefinite length, and positioned 1 meter asunder in a vacuum, would produce between these conductors a force similar to 2 × 10^-7 newton per meter of length.

1 joule (J) is represented as the quantity of work done when a force of one newton (N) is applied over a distance of one meter (m).

We can use the formula for power to relate the units of voltage and current to the unit of power:

Power (P) = Voltage (V) × Current (I)

P = (1 W) × (1 A) = 1 J/s

Therefore we can prove that 1 V × 1 A is equivalent to 1 J/s.

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Related Questions

please help i’m so lost✋:
Place the following events describing the production of electrical energy from a nuclear fission reactor in the correct order. Write the numbers 1 (first) through 7 (fast) in the spaces provided.

please help im so lost:Place the following events describing the production of electrical energy from

Answers

The thermal energy from nuclear reactions is first converted to mechanical energy and finally to electrical energy for use by the community.

What is nuclear energy?

Nuclear energy is the energy produced as a result of changes that occur in the nucleus of atoms of elements. These changes are known as nuclear reactions.

Electrical energy can be generated from nuclear reactions.

The steps in the generation of electrical energy from nuclear reactions is as follows:

A neutron bombards a uranimu-235 isotope A uranium-235 atom splits, producing atoms with smaller nuclei, three neurons, and thermal energythermal energy released by the react ion is added to water superheated water passes through a thermal exchanger, where the thermal energy released boil a separate system of water to produce steam steam produced by boiling water causes the blade of a turbine to rotate The mechanical energy of the rotating turbine is transferred to an electric generator electricity from the generator is carried to the community through wires.

Therefore, the thermal energy from nuclear reactions is converted to electrical energy for use by the community.

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PLS HELP. A flatbed car of a train moves 8 m/s to the east. A jogger runs along to top the flatbed car (which is not very safe) with a velocity of 6 m/s to the west. How fast is the jogger moving?

Answers

Answer:

2 m/s

Explanation: Given that a flatbed car of a train moves 8 m/s to the east. A jogger runs along to top the flatbed car (which is not very safe) with a velocity of 6 m/s to the west.

Since the jogger is moving in an opposite direction to the direction of the train, and velocity is the distance covered in a specific direction, the jogger will be moving at a velocity relative to the velocity of the train.

Velocity = (8 - 6) m/s

Velocity = 2 m/s

Therefore, the jogger will be moving at the speed of 2 m/s

PLEASE HELP!! ILL MARK BRAINLYEST!!

New substances are produced in a chemical change.


True
False

Answers

The Answer is true hope this helps

which one of the following statements is correct? group of answer choices the image formed by the objective lens of a telescope is larger than the object. the image formed by the objective of a microscope is smaller than the object. the image formed by the eyepiece is real for both a microscope and a telescope. the image formed by the objective lens of a microscope is larger than the object.

Answers

the statement which is correct is: The image formed by the objective of a microscope is smaller than the object. This statement is a correct statement in Physics.

An optical microscope is an instrument that is used for viewing small objects such as microorganisms, cells, tissues, etc. The microscope works on the principle of refraction of light. It uses two lenses i.e, objective lens and eyepiece. The objective lens is used to form a real and inverted image of the object which is smaller than the object. The image formed by the objective of a microscope is virtual, inverted and smaller than the object.This is the main answer for the given question. we can add that a microscope is used to study the minute details of small objects. It is an optical instrument that is designed to produce magnified images of small objects. There are two lenses present in a microscope: the objective lens and the eyepiece. The objective lens is used to form an image of the object which is smaller than the object itself. The image is virtual, inverted and real. The image formed by the eyepiece is virtual and magnified.

That the image formed by the objective lens of a microscope is smaller than the object.

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what is the wavelength of a beam of light having a frequency of 6 × 1017 hz?

Answers

The wavelength of the light beam having a frequency of 6 × 1017 hz is 0.05 nm.

To calculate the wavelength of a light beam, we can use the formula:

λ = c/f

Where λ is the wavelength, c is the speed of light and f is the frequency of the light.

The speed of light is approximately 3 x 10^8 m/s, we can use this value to find the wavelength.

λ = c/f

λ = (3 x 10^8 m/s) / (6 x 10^17 Hz)

λ = 0.05 nm

So the wavelength of the light beam is 0.05 nm.

It's important to mention that the wavelength is inversely proportional to the frequency, meaning if the frequency is high the wavelength is short and if the frequency is low the wavelength is long.

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a uniform meter stick is freely pivoted about the 0.20m mark. if it is allowed to swing in a vertical plane with a small amplitude

Answers

The period of the pendulum is approximately 2.01 seconds.

The period of a simple pendulum is determined by its length and the acceleration due to gravity. In this case, the length of the pendulum is 0.20 meters.

The period (T) of a pendulum can be calculated using the formula:

T = 2π√(L/g)

where L is the length of the pendulum and g is the acceleration due to gravity.

Substituting the given values into the formula:

T = 2π√(0.20/9.8)

Calculating the expression:

T ≈ 2π√(0.0204)

T ≈ 2π(0.143)

T ≈ 0.902π

T ≈ 2.01 seconds

Therefore, the period of the pendulum is approximately 2.01 seconds.

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A parallel-plate capacitor has capacitance \( C_{0}=8.00 \mathrm{pF} \) when there is air between the plates. The separation between the plates is \( 2.00 \mathrm{~mm} \).
What is the maximum magnitu

Answers

A parallel-plate capacitor with a capacitance of C0 = 8.00 pF is considered with air between the plates. The separation between the plates measures 2.00 mm.

To determine the maximum magnitude of a uniform electric field the capacitor can sustain without causing breakdown of the air between the plates. The following information is utilized:

1. Capacitance of a parallel-plate capacitor: C0 = 8.00 pF

2. Dielectric constant of air (considered as vacuum): k = 1

3. Separation between the plates: d = 2.00 mm = 0.002 m

The formula employed for calculating the maximum electric field is

E = (V/d),

where V represents the potential difference between the plates.

The potential difference can be derived using

V = Q/C,

where Q is the charge on the plates.

Given the initial capacitance as

C0 = 8.00 pF,

the charge when the capacitor is fully charged is

Q = C0V.

Substituting this value into

\(V = Q/C0 yields Q = C0V\).

By substituting

\(Q/(C0d) into E = (V/d),\)

we obtain

\(E = Q/(C0d).\)

The given data specifies

C0 = 8.00 pF and d = 0.002 m.

Plugging these values into the equation, we find

\(E = Q/(C0d)\)

\(= 2.50 × 10^6 V/m.\)

Hence, the maximum magnitude of a uniform electric field the capacitor can withstand without breaking down the air between the plates is

\(2.50 × 10^6 V/m.\)

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cold weather can increase tire pressure, so you should always deflate them a bit before driving. true false

Answers

The given statement "cold weather can increase tire pressure, so you should always deflate them a bit before driving. " is False.

In general, cold weather can cause the air inside tires to contract, which can result in a decrease in tire pressure. However, in some cases, cold weather can actually increase tire pressure. This is because the air inside the tires becomes denser in colder temperatures, and denser air can result in an increase in tire pressure.

It's important to note that tire pressure is critical for safe driving. Underinflated tires can affect handling and increase the risk of a blowout, while overinflated tires can reduce traction and increase the risk of hydroplaning. Therefore, it's essential to check tire pressure regularly and adjust it as needed, regardless of the weather conditions.

If you're unsure whether the cold weather has caused an increase or decrease in tire pressure, the best course of action is to check the tire pressure with a gauge and adjust it as needed based on the manufacturer's recommended pressure for your vehicle. Deflating the tires without first checking the pressure can lead to underinflation, which can be just as dangerous as overinflation.

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Help please and explain elaborately thanks in advanced

Help please and explain elaborately thanks in advanced

Answers

Answer:

So overall, motion and interference of matter are needed equally for friction, which is held together by the force of gravity. Without gravity, everything would have fly away in the universe, and the friction would not have exist. Hence, friction is dependent on gravity.

Elaborately means in a detailed and carefully arranged manner.

Explanation:

hope this helps!!!!

a student determines the circumference of a golf ball. a man pulls a sledge of mass 25 kg across level ground with a horizontal force of 60 N. a constant force of friction of 20 N acts on sledge. what is the acceleration of the sledge?​

Answers

Explanation:

Fnet = Ft - Ff = 60N - 20N = 40N

a = Fnet / m = 40N / 25kg = 1.6m/s².

Calculate resultant force:

R = ma

Descomposing:

F - Fr = ma

Replacing we have:

60 N - 20 N = 25 kg * a

Resolving:

40 N = 25 kg * a

40 N / 25 kg = a

1,6 m/s^2 = a

The aceleration is 1,6 meters per second squared.

If there is 100 mA of current flowing into a three-branch parallel circuit and two of the branch currents are 40 mA and 20 mA, the third branch current is ________.

Answers

The current in the third branch of the parallel circuit is 40 mA.

If there is 100 mA of current flowing into a three-branch parallel circuit and two of the branch currents are 40 mA and 20 mA, what is the current in the third branch?

To determine the current in the third branch of the parallel circuit, we can apply Kirchhoff's current law, which states that the total current entering a junction is equal to the sum of the currents leaving that junction.

Total current entering the parallel circuit = 100 mA

Current in the first branch = 40 mA

Current in the second branch = 20 mA

Let's denote the current in the third branch as I₃.

According to Kirchhoff's current law:

Total current = Current in first branch + Current in second branch + Current in third branch

100 mA = 40 mA + 20 mA + I₃

To solve for I₃, we can rearrange the equation:

I₃ = 100 mA - (40 mA + 20 mA)

I₃ = 100 mA - 60 mA

I₃ = 40 mA

Therefore, the current in the third branch of the parallel circuit is 40 mA.

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The volume of a sphere with radius r is 4 3pr3. what is the volume of a sphere with radius 5?

Answers

The volume of a sphere with radius 5 is 523.6 cubic units.

To calculate the volume of a sphere, we use the formula V = (4/3)πr^3, where V represents the volume and r represents the radius of the sphere.

Substituting the given radius of 5 into the formula, we have V = (4/3)π(5^3). Evaluating the expression, we get V = (4/3)π(125) = 523.6 cubic units.

Therefore, the volume of a sphere with a radius of 5 is 523.6 cubic units.

It's important to note that the volume of a sphere increases rapidly with the cube of its radius.

In this case, doubling the radius from 5 to 10 would result in an eight-fold increase in volume, as the volume formula involves the cube of the radius.

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Somebody please help

Somebody please help

Answers

Answer:

a = 0.1067 [m/s²]

Explanation:

In order to solve this problem, we must first draw a free body diagram with the forces acting on it.

a)

In the attached image we can find the free body diagram.

b)

The net force can be found by performing a sum of forces on the X-axis, these forces are seen in the free body diagram.

∑Fx = Fr

where:

Fr = resultant force [N] (units of Newtons)

\(F_{r}=275+275-310\\F_{r}=240[N]\)

c)

Acceleration can be found by means of Newton's second law, which tells us that the sum of the forces in a body or the resulting force is equal to the product of mass by acceleration.

∑F = m*a

where:

m = mass = 2250 [kg]

a = acceleration [m/s²]

\(240=2250*a\\a=0.1067[m/s^{2} ]\)

Somebody please help

Two objects have the same kinetic energy, but the speed of object 1 is half
of object 2 speed, if object 1 mass is 12 kg, what is the mass of object 2?

Answers

Explanation:

The kinetic energy (KE) of an object is given by the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

Let's call the mass of object 2 "M". We know that both objects have the same kinetic energy, so we can set up the equation:

1/2 * 12 kg * (v1)^2 = 1/2 * M * (v2)^2

where v1 is the velocity of object 1 and v2 is the velocity of object 2.

We also know that the speed of object 1 is half of object 2 speed, so v1 = 1/2 * v2. We can substitute this into the equation above and simplify:

1/2 * 12 kg * (1/2 * v2)^2 = 1/2 * M * v2^2

3 kg * (1/4 * v2^2) = 1/2 * M * v2^2

3/4 * M * v2^2 = 3 kg * 1/4 * v2^2

3/4 * M = 3 kg

M = 4 kg

Therefore, the mass of object 2 is 4 kg.

Answer the following question in your activity notebook. 1. Which of the exercises you've done were easy to perform? 2. Did you continue performing those exercises which you found to be difficult? Why? 3. Were you confident in doing those exercises on your own? Why?​

Answer the following question in your activity notebook. 1. Which of the exercises you've done were easy

Answers

Answer: They are all easy to perform as they are bodyweight exercises.

Explanation:

no difficult exercise so NA. Yes I was plenty of online video to watch to address issues

What’s the mass of the continent?

Whats the mass of the continent?

Answers

Answer:

Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rock

iam help for youthankscommentflowing

in the traveling-wave tube, the purpose of the helical structure is: (a) to form a helical resonator which filters off the desired signal component. (b) to form an inductor. the magnetic fields of the inductor stop the electron beam from spreading as it travels through the helix. (c) reduce the speed of the electromagnetic wave propagating on the structure. (d) enhance the bunching effect that occurs for the positive charge carriers in the electron beam.

Answers

The purpose of the helical structure in a traveling-wave tube is to (d) enhance the bunching effect that occurs for the positive charge carriers in the electron beam.

The helical structure in a traveling-wave tube serves as an interaction circuit between the electron beam and the electromagnetic wave. The interaction between the beam and the wave leads to a phenomenon known as bunching, where the electrons in the beam are grouped together in a more compact manner. Bunching is crucial for efficient energy transfer from the electron beam to the electromagnetic wave.

The helical structure plays a key role in enhancing this bunching effect. As the electron beam travels through the helix, the helical structure provides a periodic electric field that interacts with the beam. This interaction causes the electrons to experience a force that synchronizes their motion with the electromagnetic wave. The synchronized motion results in the formation of electron bunches or density modulations within the beam.

By enhancing the bunching effect, the helical structure increases the efficiency of energy transfer from the electron beam to the electromagnetic wave. The bunches of electrons in the beam interact more effectively with the electromagnetic wave, leading to greater amplification and modulation of the signal carried by the wave.

It's important to note that the other options mentioned, such as (a) forming a helical resonator, (b) serving as an inductor, or (c) reducing the speed of the electromagnetic wave, are not the primary functions of the helical structure in a traveling-wave tube. While resonators and inductors can be present in the design of a traveling-wave tube, their functions are separate from the role of the helical structure in enhancing bunching and facilitating efficient energy transfer.

Therefore, in a traveling-wave tube, the primary purpose of the helical structure is to enhance the bunching effect for positive charge carriers in the electron beam, leading to improved energy transfer and amplification of the signal carried by the electromagnetic wave.

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what is acceleration

Answers

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\(\sf What \: is \: acceleration? \\ \\ \sf The \: rate \: of \: change \: of \: velocity \: of \: an \\ \sf object \: with \: respect \: to \: time \\ \sf is \: known \: as \: acceleration. \)

A gardener mows a lawn with an old-fashioned push mower. The handle of the mower makes an angle of 41.0^0 with the surface of the lawn. If a 62.0-N force is applied along the handle of the 18.0-kg mower, what is the normal force exerted by the lawn on the mower, in newtons?

Answers

The normal force exerted by the lawn on the mower is 137.2 N.

To find the normal force exerted by the lawn on the mower, first we need to understand that there are two forces that are acting upon the mower.

The force applied by the gardener, F = 62 N

Weight of the lawn mower, W = mg = 18 kg × 9.81 m/s² = 176.58 N

The force applied by the gardener is not exactly perpendicular to the ground, so we need to find the component of the force perpendicular to the ground.

This can be done using the formula: F⊥ = F sinθ whereF is the force applied by the gardener andθ is the angle between the handle of the mower and the surface of the lawn.

Substituting the values:F⊥ = 62 sin 41.0°F⊥ = 39.4 N

Now that we have the force perpendicular to the ground, we can find the normal force exerted by the lawn on the mower using the formula: F⊥ + N = WwhereN is the normal force exerted by the lawn on the mower.

Substituting the values:N = W - F⊥N = 176.58 - 39.4N = 137.2 N

Therefore, the normal force exerted by the lawn on the mower is 137.2 N.

Answer: The normal force exerted by the lawn on the mower is 137.2 N.

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A large, moving truck crashes into a small parked car. How do the magnitudes of the impulses and the forces on each vehicle compare during the collision? A.The truck receives more force but less impulse.
B. The truck receives less force but more impulse. C. The truck receives les force and less impulse. D. The track receives equal force and equal impulse

Answers

A large, moving truck crashes into a small parked car. How do the magnitudes of the impulses and the forces on each vehicle compare during the collision: A. The truck receives more force but less impulse.

In physics, value is defined really as “magnitudes or amount.” It depicts absolutely the relative course or length wherein an item actions within the experience of movement. it's far used to specify the scale or scope of something. In physics, value commonly refers to distance or quantity.

Significance is the scale of something. for example, in the case of speed, a vehicle is moving faster than a bike. in this instance, the importance of the speed of the auto is higher than that of the bike. It tells the route or size that is absolute or relative in which an item travels in the experience of motion.

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How to test the effect of the water throughout the experiment (independent variable) on the cleanliness of water (dependent variable).

Answers

The independent variable is the different amounts salt that will be added to the water (what is done by the scientist). The dependent variable is the boiling temperature of the water (what is being measured). the independent variable is manipulated or changed by the experimenter to measure the effect of this change on the dependent variable.

A ground-state electron configuration is an electron configuration in which all electrons are in the lowest possible energy levels 1st attempt Part 1 . See Periodic Table Identify the element with the lowest atomic number that has two unpaired electrons in its ground state, Choose one: A. Be B. Не Mg C. С D. Ті

Answers

The element with the lowest atomic number that has two unpaired electrons in its ground state is titanium (Ti). Its ground-state electron configuration is 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d².

1. To find the element with the lowest atomic number that has two unpaired electrons in its ground state, first, look at the periodic table.

2. The ground-state electron configuration refers to the arrangement of electrons in the lowest energy levels. This means that all orbitals are filled up to the last electron added.

3. Eliminate options that do not meet the criteria: Helium has an atomic number of 2, but it has only two electrons and both are paired in the 1s orbital. Beryllium has an atomic number of 4, but its ground-state electron configuration is 1s² 2s², which does not have any unpaired electrons. Magnesium has an atomic number of 12 and a ground-state electron configuration of 1s² 2s² 2p⁶ 3s², which does not have any unpaired electrons.

4. Consider the remaining options: Carbon has an atomic number of 6 and a ground-state electron configuration of 1s² 2s²2p², which has two unpaired electrons in the 2p subshell. Titanium has an atomic number of 22 and a ground-state electron configuration of 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d², which also has two unpaired electrons in the 3d subshell.

5. Determine the correct answer: Since the question asks for the element with the lowest atomic number that has two unpaired electrons in its ground state, the correct answer is Titanium (Ti). Although carbon has two unpaired electrons in its ground-state electron configuration, titanium has a lower atomic number (22 compared to carbon's 6) and also meets the criteria.

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Which metallloid has three valence electrons?
1. born
2. arsenic
3. silicon
4. lithium

Answers

Boron Group
elements have three valence electrons and are fairly reactive. All of them are solids at room temperature. Boron is a very hard, black metalloid with a high melting point.

The seasonal polar caps on Mars, which grow and shrink over the year, are primarily carbon dioxide.
True/False

Answers

The given statement "The seasonal polar caps on Mars, which grow and shrink over the year, are primarily carbon dioxide." is True. The seasonal polar caps on Mars primarily consist of carbon dioxide.

The seasonal polar caps on Mars are primarily made up of carbon dioxide, also known as dry ice. During the Martian winter, the carbon dioxide freezes out of the atmosphere and forms a layer of ice on the polar caps. As the planet moves closer to the sun in the spring and summer, the ice begins to sublimate, or turn directly from a solid to a gas, and the polar caps shrink in size.

The process is reversed during the fall and winter as the planet moves farther from the sun and the carbon dioxide freezes out of the atmosphere once again. These seasonal changes in the polar caps have been studied extensively by spacecraft orbiting Mars and provide important information about the planet's climate and geology.

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A 100kg crate slides along a floor with a starting velocity of 21ms If the force due to friction is 8N how long will it take for the box to come to rest? Show your work!

Answers

A 100kg crate slides along a floor with a starting velocity of 21 m/s. If the force due to friction is 8N, then, it will take 262.5 s for the box to come to rest.

We'll begin by calculating the declaration of the box. This can be obtained as follow:

Force (F) = –8 N (opposition)

Mass (m) = 100 Kg

Deceleration (a) =?

F = ma

–8 = 100 × a

Divide both side by 1000

\(a = \frac{-8}{100}\)

a = –0.08 ms¯²

Therefore, the deceleration of the box is –0.08 ms¯²

Finally, we shall determine the time taken for the box to come to rest. This can be obtained as follow:

Deceleration (a) = –0.08 ms¯²

Initial velocity (u) = 21 ms¯¹

Final velocity (v) = 0 ms¯¹

Time (t) =.?

v = u + at

0 = 21 + (–0.08×t)

0 = 21 – 0.08t

Collect like terms

0 – 21 = –0.08t

–21 = –0.08t

Divide both side by –0.08

\(t = \frac{-21}{-0.08}\\\\\)

t = 262.5 s

Therefore, it will take 262.5 s for the box to come to rest.

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A 36 N net force acts on an 9 kg rock. What is the acceleration of the rock? *

Answers

Answer:

f=ma

therefore we have f=36N

                               m=9kg

a=f/m

36/9

=4m/s^2

Explanation:

The acceleration of 9 kg rock and being acted upon by a 36 N force would be 4 m/s2

Recall Newton's law of motion which says that the magnitude of a force (F) needed to accelerate (a) a body with mass (m) is the product of the acceleration and the mass of the body.

In other words; F = ma

Thus, a = F/m

In this case, F = 36 N and m = 9 kg

 

acceleration (a) = 36/9

                            = 4 m/s2

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Which is better value? 5 kg of potatoes for $3.80 or 3 kg for $2.20

Answers

Answer:

5kg of $3.80 is better value

Answer:

Explanation:

5 kg of potatoes for $3.80 is a better value

evidence that earth's magnetic field has undergone numerous reversals can be found

Answers

Evidence that Earth's magnetic field has undergone numerous reversals can be found in several geological records and observations. Some of the key sources of evidence include:

1. Magnetic Reversal Recorded in Rocks: The Earth's magnetic field leaves an imprint on rocks as they form or cool down. Certain rocks, such as volcanic rocks and sedimentary rocks containing magnetic minerals like magnetite, preserve the direction and intensity of the magnetic field at the time of their formation. By studying the magnetization of these rocks, scientists have identified instances where the magnetic field has reversed its polarity, with the north and south magnetic poles swapping places.

2. Oceanic Magnetic Stripes: As new oceanic crust is formed at mid-ocean ridges through volcanic activity, it records the prevailing magnetic field at the time. Basaltic rocks in the oceanic crust contain magnetic minerals that align with the Earth's magnetic field as they solidify. Over time, as new crust forms and spreads, symmetrical patterns of magnetic stripes are created on either side of mid-ocean ridges.

3. Magnetic Anomalies: By mapping the Earth's magnetic field using instruments like magnetometers, scientists have identified regions on the seafloor where the magnetic field strength deviates from the expected values. These magnetic anomalies correlate with the pattern of magnetic stripes and provide further evidence of past magnetic reversals.

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A 230 v mains powered electrical drill draws a current of 2.5 A calculate the power of the drill at use

Answers

The power drill is 575 watts

Describe one piece of evidence to show light waves do not need a medium travel from one place to another

Answers

Answer:

I don't know I'm sorry I will tell you another answer asks me

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can anyone help me????? 2. Find 2 quotes from the excerpt that might have motivated Red Guards to be violent against people during the Cultural Revolution. Foreach quote, explain why it would have motivated youths in the Red Guard to be violent.A Quote:B. This would have motivated youth to be violent because:C. Quote:D. This would have motivated youth to be violent because: ________ operates on an unconscious level and influences our attitudes about other people, but we are not even aware of our bias. Meredith scores 72% on her quiz. She misses 7 questions. What is the change in her score in PERCENTAGE points for each question she gets incorrect? distinguish between a psychophysiological illness and hypochondriasis. P: Using your prior knowledge how would you find the area of a rectangle ? mary is twice as old as ayana.ayana is five years younger than jaime.jaime is 12 years old. how old is mary? Can someone pls help me pls Lesson Check (4.NBT.B.61. To divide 572 = 4, Stanley estimated to placethe first digit of the whole-number quotient.In which place is the first digit of the whole-number quotient? I need help56 < 7( 7 - x) You will need to design a cascode amplifier, which should be built and tested to meet the following requirements:1. Magnitude of the voltage gain = 12*SQRT(Z+35): 10%, where Z is the sum of the last 3 digits of yourstudent number.2. The load resistance RL = 6*(Z+40)2 , rounded up to the nearest standard value stocked in the lab, i.e.,decade multiples of 1.0, 1.2, 1.5, 1.8, 2.2, 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, and 8.2 k. As an example, if yourRL is 67.4 k, you will round this to 68 k.3. The high frequency cutoff fH is to be maximized. It must exceed 1 MHz.4. The output voltage should be able to get to 2 V peak-peak without appreciable distortion[1]. To ensurethis, the AC base-emitter voltage must be kept under 10 mV peak-peak for such an output.5. No DC current may flow in RL and no DC current may flow into or out of the signal generator.6. The low frequency fL must be less than 200 Hz.7. The input and output impedances are left to the discretion of the designer, but their magnitudes at 1kHz are to be determined by calculation and then measured.8. Total circuit power is not to exceed 50 mW.9. The transistors are all to be 2N3904.10. Collector currents in the transistors are to be 1.0 mA 10%.11. Power-supply voltages are to be limited to +5 volts and/or +15 volts and/or -15 volts.12. No adjustable components, e.g. a trimmer potentiometer, will be allowed.13. Available capacitors are limited to: 1 x 100 F, 1 x 33 F, 1 x 10 F, 2 x 1 F, 1 x 0.1 F [2].14. The choice of all other components is left up to the designer. An investor purchases a 20-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is five percent, what is the current market value of the bond? some people appear to work best when a deadline is imminent. for these people, this would be considered __________ stress. Film directors generally earn more money than theater directors. True False After world war ii, the united states helped build new markets and strengthen the economies of noncommunist countries by:_____. Write down a number that has a value greater than |-2.6|. THERE ARE 4 QUESTIONS BELOW!1. Mae Ling earns a weekly salary of $395 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?She would make $_______2. Ramon earns $1,865 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?Ramon spends ______% of his earnings on electricity each month.3. James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less than Priya. How much does Siobhan make per hour?Siobhan makes $_______ per hour.4. The Hu family goes out for lunch, and the price of the meal is $46. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?The total cost of the meal is $__________.5. For the following real-world examples, determine whether each situation represents a percent increase or a percent decrease.Sales tax on an item is a percent ______A discount on an item is a percent _____A tip on a bill is a percent __________ Your first order of the day is $7.64. What would the total cost be with a 4.5% tax and 20% tip? a. making the initial determination that information requires protection against unauthorized disclosure in the interest of national security. b. carrying forward that determination into new material. c. marking the information to show its classified status. d. determining whether information has been classified previously. Describe a situation with two variables that you can represent w its an equation that uses two operations. Write the equation. Explain the relationships between the variables