The current lags EMF by 60 degrees in a RLC circuit with E0=25 V and R=50 ohms. What is the peak current?

The domain of that function is a real number or can be written as {x | x is a real number}. The range of that funciton is {y | y > 0}.

Domain is all possibly value of "x" for a function to keep functional. In short, domain is a parameter of the function to work.  By its definition, domain is a real number or in math written as {x | x is a real number}

As per given function f(x) = 4(3√81)ˣ. Because of there is no negative sign in the formula, The value of f(x) has to be greater than zero. So, f(x) > 0 or y > 0. Range = {y | y > 0}

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a) The relative atomic mass is 122.35

b) The Rutherford model produced the planetary model of the atom and laid the foundation for the Bohr model

c) The percentage abundance shows the most popular isotope.

We need to know that an element must be composed of the isotopes of the element. We have to know also that the isotopes of the element would all have the same atomic number but they would have different mass numbers for each of the elements that are under study.

We need to determine the average atomic mass of the element X as follows;

(121 * 0.432) + (123 * 0.531) * (129 * 0.037)

= 52.27 + 65.31 + 4.77

= 122.35

We can see that the calculation that we have made above has given the relative atomic mass of the isotope to be about 122.35.

Rutherford showed by experiment that at the core of the atom lies the nucleus around which the electrons evolve as planets round the sun hence the name planetary model. The furthered the ideas that led to the Bohr model of the atom.

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Although mass does not directly affect speed, as an object's speed increases, so does its mass. The term "mass" refers to a thing's total amount of energy. Thus, we draw the conclusion that while a particle's mass increases with speed, its charge stays constant.

A thing's mass is the total amount of stuff or substance that constitutes it. The measurement unit is the kilogramme, also written as kg. It's important to remember that mass is distinct from weight. Mass never changes, whereas weight fluctuates as the centre of gravity shifts. The best way to understand mass is to think about how much matter each object or body is made up of. Everything that we can see has mass.

A balance is used to determine an object's mass for the majority of commonplace objects. The balance compares the target object to a known mass object. Digital scientific balances and beam balances, like a triple beam balance, are examples of several sorts of balances.

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As a result, the first path would take 1 hour, 18 minutes to get you there.

Duration is the whole time that anything exists. A duration might be short, like the duration of a party, or it can be extensive, like the length of a lecture series. The time it takes to finish anything has come to be denoted by the term duration. Except for noon and midnight, use numerals for the times; separate the hours and minutes with a colon; and avoid using cyphers (double zeros) for complete hours.

It would take around 1 hour and 18 minutes to travel the first route, which is 70 miles long and travels at 55 mph. It would take around 1 hour and 21 minutes to travel the second route, which is 85 miles long and travels at a speed of 65 mph.

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The formula of a magnitude is  |v| =√(x2 + y2)

A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.

|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.

|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).

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Which example shows Pascal's principle a hydraulic jack .

What is a hydraulic jack?

A hydraulic jack is a device used to lift heavy objects or materials by using a hydraulic cylinder to generate a large amount of force. It works by using a pump to transfer fluid from a reservoir into a cylinder, which in turn applies pressure to a piston.

When the pressure is high enough, the piston will push against the object it is lifting, allowing the user to raise or lower the object. Hydraulic jacks are often used for automotive repair, construction, and other heavy-lifting applications.

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Answer:

1489.6 Joules

Explanation:

Potential Energy:

[tex] \displaystyle{\text{PE} = mgh}[/tex]

m is mass (kg), g is acceleration due to gravity which is 9.8 m/s² (some people use 10 m/s² which is acceptable) and h is height. Hence, substitute in known values:

[tex] \displaystyle{\text{PE} = 19 \times 9.8 \times 8} \\ \\ \displaystyle{\text{PE} =1489.6 \: \text{J}}[/tex]

Hence, the potential energy is 1489.6 Joules

The angle that Boulevard N makes with Street L north of their intersection is also 75°.

Intersection is a point where two or more lines, curves, surfaces, or objects meet or cross each other. It is a common concept in mathematics, engineering, and everyday life. In mathematics, an intersection is a point where two or more sets of objects meet. In engineering, an intersection is a point where two or more roads, railways, or other transportation routes meet. In everyday life, an intersection is a point where two or more paths, streets, or other routes meet. Intersections are important in transportation, as they are the points where vehicles can change direction or turn around. Intersections are also important in mathematics, as they are the points where two or more lines, curves, or surfaces meet.

This is because the angle formed by two parallel lines is always equal. Since A and L run parallel to each other, the angle formed by Boulevard N and Street L south of their intersection is equal to the angle formed by Boulevard N and Street L north of their intersection. Therefore, the angle that Boulevard N makes with Street L north of their intersection is also 75°.

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Answer:

one mole of each gas has the same number of molecules (Avogadro's No)

i mole He = 4 grams

1 mole Argon = 38 grams

1 mole Argon / 1 mole He = 9.5

one would need 950 ml of Ar gas

The empty shopping cart is moving at 7.67 m/s.

According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.

Total initial momentum = total final momentum

100 kg ×5.0 m/s + 30 kg ×0 m/s = 100 kg ×2.7 m/s + 30 kg ×v

v = (5.0 - 2.7)(100/30) m/s

= 7.67 m/s.

Hence,  the empty shopping cart is moving at  speed of 7.67 m/s.

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The students can ensure accurate data, by repeating the experiment several times.

option B.

The accuracy of an experiment is how close the final result is to the correct or accepted value. The closer it is, the more accurate the experiment.

The accuracy of an experiment is obtained by performing the experiment repeatedly or many times.

Thus, for the team of students to obtain an accurate result on the effect of gravity on different objects with the same mass and  time it takes the

objects to fall from the top of the school's bleachers, they must perform the experiment many times.

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Answer:

(Question) Which statement about mass is correct?

(Answer)  Mass is the measure of the amount of matter in an object.

(Question) A student designs a gravity experiment. She will time how long it takes different objects to fall from her school’s roof to the ground. She will use three objects: a 2-foot-long board, a toy car, and a paper bag. What is wrong with her experiment’s design?

(Answer)  The objects do not have the same size, shape, or mass, so any differences in drop times cannot be attributed to one variable.

(Question) Which statement about gravity is correct?

(Answer)  Gravity is a force that attracts objects with mass toward each other.

(Question) A team of students performs an experiment to test the effect of gravity on different objects with the same mass. They measure how long it takes the objects to fall from the top of the school’s bleachers. How can they insure they get accurate data?

(Answer) by repeating the experiment several times

(Question) Students analyze their data from a gravity experiment. They find that objects fall at a greater speed from a greater height than from a lower height. What can they conclude?

(Answer)  The longer an object falls, the more gravity increases its speed.

Explanation:

i just finished the quick check. enjoy

The velocity of the cart on the right that has a mass of 4. 5 kg is 0.09 m/s.

Velocity is the rate of change of distance with respect to time.

Mass on the left of the cart = m1 = 1.5 kg

on the left of the cart = v1 = 27 cm/s = 0.27m/s

Mass on the right of the cart = 4.5 kg

Velocity on the right of the cart = x

According to the law of conservation of linear momentum:

We can say that.

Initial momentum will equalize the final momentum.

And momentum is the product of mass and its velocity.

Assigning one of its velocity as negative because both are in different direction.

mathematically, (m1*-v1) + (m2v2) = 0

(1.5*-0.27) + (4.4*x) = 0

x = 0.09 m/s

So the velocity of the cart on the right side that has a mass of  is 0.09 m/s.

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The coefficient of the static friction(ц) between the coin and the surface is v²/gR.

The mass of the coin = m kg

The distance of the coin from the axis of rotation = R meter

Let the speed of the rotating surface = v m/sec

We know that an object moving in a circular motion on a circular path of radius R, experiences a centrifugal force which acts outwards from the axis of rotation. This force is determined by the following formula,

F = mv²/R

This force is balance by the static friction force on the coin.

Static friction force on the coin = mg × static friction(ц)

mv²/R = mg × static friction(ц)

Static friction(ц) = v²/gR

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Your home's location at x and the store's location at x + 2 km

Solving the displacement problem.

"Displacement" describes a change in an object's location. An arrow pointing from the starting point to the finishing point serves as the object's symbol. For instance, an object's position changes if it shifts from position A to position B. For instance, an object's position changes if it shifts from position A to position B.

Substitution Formula

The final position less the starting position is known as displacement.

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If you walked one kilometer from your home to the store and then one kilometer back home, you did indeed cover a distance of two kilometers. The distance is calculated by adding the lengths of the two separate paths together, which in this case would be 1 kilometer + 1 kilometer = 2 kilometers.

However, when we talk about displacement, we're referring to the change in position or the shortest straight-line distance between your starting point and your ending point. In this scenario, since you ended up back at your starting point, your displacement is 0 kilometers. This is because the straight-line distance from your home to the store is canceled out by the straight-line distance from the store back to your home.

To better understand this concept, let's consider an example. Imagine you take a trip around a circular track. You start at one point, go all the way around the track, and end up back at the starting point. Even though you covered a certain distance along the track, your displacement is still 0 because you ended up back where you started.

So, in summary, the distance you walked is 2 kilometers, but your displacement is 0 kilometers because you returned to your starting point.

Six examples in which Physics has been used in daily life include:

Physics plays a major role in transportation, from the design of cars and airplanes to the operation of trains and buses. Physics is also used in communications, from the design of telephone networks to the operation of the internet.

Physics is used to generate energy from various sources, such as fossil fuels, nuclear power, hydroelectric power, and wind power. Physics is used in medical imaging, such as X-rays, CT scans, and MRI.

Physics plays a major role in construction, from the design of buildings and bridges to the materials used in construction.  Physics is also used in entertainment, from the design of amusement park rides to the operation of video games.

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The refractive index of the eye cannot be determined with the information provided.

This refers to the value obtained from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

The refractive index is also equivalent to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.

It can be calculated using the formula:

n = c/v.

where,

n = the refractive index of the eye

c = wavelength in empty space

v = the  velocity of light

From the question:

r = 0.78 cm

i = 3 cm

The radius of curvature and the location of the image formed by an object at infinity is related to the eye's optics, but the refractive index also depends on the materials of the various parts of the eye, such as the cornea and lens.

Hence, the refractive index can also vary depending on the specific wavelength of light being considered.

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The kinetic energy of an object is half of the product of mass and square of velocity. Then, for a person with a kinetic energy of 1800 J and velocity of 12 m/s is 25 kg.

Kinetic energy of an object is generated by virtue of its motion. It is related to the mass and velocity by the expression as follows:

Ke = 1/2 m v².

Thus, as the mass or velocity increases, kinetic energy increases.

Given velocity of the person = 12 m/s

kinetic energy = 1800 J

1/2 m v² = 1800 J

The mass of the person can be then calculated as follows:

m = 2 Ke/v²

m = 1800 J × 2 / (12 m/s)²

m = 25 Kg.

Therefore, the mass of the person is 25 Kg.

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An equation that will let you calculate the last Q that was needed for this temperature change is Q = MCΔT.

The following formula can be used to determine how much heat is required to cause a change in temperature:

Q = MCΔT

Where:

The required heat, Q, is expressed in joules (J).

M is the substance's mass, expressed in grams (g)

C is a substance's specific heat capacity expressed in J/g°C.

T is the change in temperature expressed in degrees celsius (°C).

As a result, we can determine how much heat is required to change the temperature as follows:

Q = MCΔT

Q = 420 x 3.52 x 43.8

Q = 64753.92 J

Thus, 64753.92 J of heat are required to change the temperature.

Your question is incomplete but most pprobably your full question was

The specific heat capacity of a pure substance can be found by dividing the heat needed to change the temperature of a sample of the substance by the mass of the sample and by the change in temperature. The specific heat capacity of a certain substance has been measured to be 3.52 J/g °C. Suppose 420.0 g of the substance is heated until the temperature of the sample has changed by 43.8 °C.

Write an equation that will let you calculate the last Q that was needed for this temperature change. Your equation should contain only symbols. Be sure to define each symbol.

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The solar energy is  Non-exhaustible resource​. Hence, option (d) is correct.

A natural resource that can be replenished to replace the portion used up by usage and consumption is known as a renewable resource, also known as a flow resource. This replenishment can occur naturally through reproduction or through other recurring processes in a limited amount of time on a human time scale.

The natural environment of the Earth and the main elements of its ecosphere are renewable resources. A resource's sustainability can be determined in large part by looking at its life-cycle assessment.

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The domain of f(x) = –37 is all the real numbers. And, the range of f(x) = –37 is y = –37.

The given function f(x) = –37 is a horizontal line which goes from negative infinity to positive infinity.

In this case, the domain can be any number since there is no limit on what the x value can be.

So, the domain of the given function f(x) = –37 will be all real numbers.

And, the range will always be y = –37 because no matter what x value will equal, y will always be equal to –37 in the function of f(x) = –37.

So, the range of the given function f(x) = –37 will be y = –37.

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The volume of the balloon will be 0.494 liters.

Volume is described as a measure of three-dimensional space which  is often quantified numerically using SI derived units or by various imperial or US customary units.

We will use Charles law to solve for the volume and it states that  the volume of the gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

Mathematically V1 / T1 = V2/ T2

where,

v1 = initial volume of gas = ?

v2 = final volume of gas = 0.54 L

T1 = initial temperature of gas = 273.15 K

T2 = final temperature of gas = 298.5 K

Substitute all the given values in the above equation, we get the initial volume of balloon.

V1 / 0.54 = 273.15/ 273.15

v1 = 0.494 liters.

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Answer:

8.74 m

Explanation:

W = FΔx

376 = 43(Δx)

8.74 = Δx

Hey there everyone!

_____________________________________________________

Answer:

So, if you have the following to choose from:

O 368 m

O 44.6 m

O 384 m

O 3170 m

44.6 m (aka. Option B) is correct.

_______________________________________________________

Step By Step Explanation:

1. F = 8.43 N

2. W = 376 J

3. W = F x d

4. 376 J = 8.43 N × d

5. d = 44.6 m ← Our Final Solution

_______________________________________________________

Hope this helps! If you still need help on this, feel free to check out the flash cards I made below.

h t t p s : / / q u i z l e t . c o m / 7 6 4 3 6 7 9 6 0 / p h y s i c a l - s c i e n c e - 2 2 - f o r c e - a n d - w o r k - r e l a t i o n s h i p s - f l a s h - c a r d s / ? n e w

A ball has a momentum of 5 kg m/s before it hits a block of wood which is at rest. After the collision, the ball is at rest. the final momentum of the block remains constant as per the law of conservation of momentum.

As per the law of conservation of momentum, The complete momentum of two or more bodies acting on one another in an isolated system remains constant unless an external force is applied.

Hence, as per the statement given there is no external force is applying so, the final momentum of the block is equal to ball's momentum and remains constant.

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Answer:

P V = N R T      Ideal gas equation

1 mole CO2 = 12 + 32 = 44 g

5 g = 5 / 44 = .114 moles

One definition of R is R = .08207 L-Atm / mole-deg K

P = .114 * .08207 * 298 / 10 = .279 Atmosphere

One needs to use care in using R in terms of other values given

Due to its only being able to travel to and fro, if an item goes in a straight line northern, the only additional direction it may move is southward.

Since linear motion consists of movement in one dimension in a straight line, also called as rectilinear motion, it may be analytically described only using just that spatial dimension.

The two forms of linear motion are non-uniform motion with changing velocity and non-zero acceleration.

Uniform linear motion is defined by a constant speed or no acceleration. A person moving linearly would sprint 100 m on a smooth path.

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The car's velocity is 36.07 m/s if A 2400 kg car traveling to the north is slowed down uniformly from an initial velocity of 21.0 m/s by a 7110 N braking force acting opposite the car's motion.

What is a simple definition of velocity?

Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s).

What is an example of velocity and speed?

Velocity is speed with a direction. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed. But saying he runs 9 km/h Westwards is a velocity. Imagine something moving back and forth very fast: it has a high speed .

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Light travels in straight lines. This explains how shadows are formed on sunny days, how images are formed in cameras, and why there are  reflection in mirrors.

When two different media come together at an interface, a wavefront might change direction so that it returns to the first medium, which is termed as reflection. The reflection of light, sound, and water waves are typical examples. According to the law of reflection, the angle at which the wave incident on the surface equals the angle at which it is reflected for specular reflection (such as at a mirror).

You cannot see something unless you have 'line of sight' and the light can travel from the object to your eye in  straight line. Light waves are one of the ways that energy from the Sun reaches the Earth.

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The energy of the photon can be calculated using the equation E = h * f, where E is the energy, h is Planck's constant (6.63 x 10^-34 Js), and f is the frequency of the photon (5.20 x 10^14 Hz). Plugging in the values, we get:

[tex]E = (6.63 x 10^-34 Js) * (5.20 x 10^14 Hz) = 3.48 x 10^-19 J[/tex]

The energy of a photon is directly proportional to its frequency. As the frequency of a photon increases, so does its energy. This relationship is described by the equation E= hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon. Therefore, if the frequency of a photon increases, the energy of that photon will also increase. This is why high-frequency photons, such as X-rays and gamma rays, have higher energies than low-frequency photons, such as radio waves.

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Nuclear energy is the energy in the nucleus, or core, of an atom. Nuclear energy can be used to create kinetic energy or electricity, but it must first be released from the atom.

Nuclear energy originates from the splitting of uranium atoms – a process called fission. This generates heat to produce steam, which is used by a turbine generator to generate electricity. Because nuclear power plants do not burn fuel, they do not produce greenhouse gas emissions.

Some primary uses of nuclear energy are- Space Exploration, Nuclear energy provides nearly 20% of electricity in many countries like United States, Medical Diagnosis and Treatment, Criminal Investigation and Agriculture.

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Answer: Elephant

Explanation: Because of an elephants weight and size, it would require more force for acceleration when compared to a lion, mouse, and/or dog.