A 1000-turn coil of wire 2.40cm in diameter is in a magnetic field that increases from 0 T to 0.120T in 9.00ms . The axis of the coil is parallel to the field. What is the emf of the coil?

Answers

Answer 1

The emf of the coil is 514 V.

When the magnetic field increases from 0 T to 0.120 T in 9.00 ms, the emf induced in the coil is given by:

emf = -N*(dΦ/dt)

where N is the number of turns in the coil, and the negative sign indicates that the emf induces a current that opposes the change in magnetic flux.

The rate of change of magnetic flux is:

dΦ/dt = (ΔB/Δt)*A

where ΔB is the change in magnetic field, and Δt is the time interval over which the change occurs.

Substituting the given values, we have:

ΔB = 0.120 T - 0 T = 0.120 T

Δt = 9.00 ms = 9.0010^-3 s

A = 4.5210^-4 m²

Therefore:

dΦ/dt = (0.120 T - 0 T)/(9.00*10^-3 s)4.5210^-4 m² = 0.514 V

Substituting this value into the expression for emf, we have:

emf = -N*(dΦ/dt) = -1000*(0.514 V) = -514 V

The negative sign indicates that the induced emf opposes the change in magnetic flux, which in this case is the increase in magnetic field.

Therefore, the emf of the coil is 514 V.

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Related Questions

Using the graph below answer the following questions about the Photo-electric effect.
a) What is the work function of the experimental photo-missive material?
b) What the threshold frequency of the experimental photo-missive material?
c) If the incoming frequency is 8.0 E14 Hz what would be the maximum kinetic energy of the most energetic electron?
d) If the incoming photon had a wavelength of 500.0 nm would you have a photo-electron ejected?
e) If you use a different experimental photo-missive material what would be the same on the graph?

f) What is the slope of the graph?

Answers

(a) The work function  is 1.98 x 10⁻¹⁹ J.

(b) The threshold frequency is 3 x 10¹⁴ Hz.

(c) The maximum kinetic energy of the most energetic electron is 3.32 x 10⁻¹⁹ J.

(d) Photo-electron would be ejected.

(e) The only constant parameter would be speed of the photon.

(f) The slope of the graph is 6.67 x 10⁻³⁴ J.s

What is the work function of the experimental photo-missive material?

(a) The work function of the experimental photo-missive material is calculated as follows;

Ф = hf₀

where;

h is the Planck's constantf₀ is the threshold frequency = 3 x 10¹⁴ Hz (from the graph)

Ф = hf₀

Ф = 6.626 x 10⁻³⁴ x 3 x 10¹⁴

Ф = 1.98 x 10⁻¹⁹ J

(b) The threshold frequency of the experimental photo-missive material is the frequency at which the kinetic energy is zero = 3 x 10¹⁴ Hz.

(c) The maximum kinetic energy of the most energetic electron is calculated as;

K.E = E - Φ

K.E = ( 6.626 x 10⁻³⁴ x 8 x 10¹⁴) -  1.98 x 10⁻¹⁹ J

K.E =  3.32 x 10⁻¹⁹ J

(d) The frequency of the photon with a wavelength of 500 nm is calculated as;

f = c/λ

where;

c is the speed of light = 3 x 10⁸ m/sλ is the wavelength of the photon

f = ( 3 x 10⁸ ) / ( 500 x 10⁻⁹ )

f = 6 x 10¹⁴

Since the frequency of the incoming photon is greater than  the threshold frequency, photo-electron would be ejected.

(e) If you use a different experimental photo-missive material the only parameter that would be the same on the graph is speed of photon.

(f) The slope of the graph is calculated as;

m = (2.5 eV - 0 eV) / [(9 - 3) x 10¹⁴]

m = (2.5 ev) / (6 x 10¹⁴)

m = (2.5 x 1.6 x 10⁻¹⁹ ) / (6 x 10¹⁴ )

m = 6.67 x 10⁻³⁴ J.s

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Using the graph below answer the following questions about the Photo-electric effect.a) What is the work

MICROSCOPIC STRUCTURE: a Dental Plaster: They are Fibrous aggregar of fine cupotal with capitany pares. then guerre Kuyrak Cleavage fragments and b) Dental Stone and prio crystals in the form of mods c) Die Stone Cuboidal Shape Investment DIAGRAMS OF CRYSTALS: Dental Plaster Dental Stone Investment Die Stone 19 DEMONSTRATION: 1. MIC AIM: To study the manipulation of dental plaster and pouring a compound impression GAUGING WATER: W/P = 50ml/100 gms. a PROCEDURE b 1. AIM: To study the manipulation of dental stone and pouring an alginate impression GAUGING WATER: W/P = 30ml/100gms. PROCEDURE 1. AIM: To study the manipulation of die stone and pouring and elastomeric impression GAUGING WATER: W/P = 25ml/100 gms. PROCEDURE

Answers

The provided text contains information about the microscopic structures and crystal diagrams of dental plaster, dental stone, and die stone. It also mentions the gauging water ratios and procedures for manipulating and pouring compound impressions using these materials.

The text describes the microscopic structure of dental plaster, which consists of fibrous aggregates of fine cupotal with capitany pares. Dental stone is described as having prior crystals in the form of mods, while die stone is characterized by its cuboidal shape.

The crystal diagrams are mentioned for each material: Dental plaster, dental stone, and die stone.

The text then outlines three different demonstrations, each with a specific aim and gauging water ratio. The demonstrations involve studying the manipulation of dental plaster, dental stone, and die stone, as well as pouring compound impressions using these materials. The procedures for each demonstration are provided.

To learn more about the manipulation of dental plaster, dental stone, and die stone, as well as the pouring of compound impressions, further information can be explored in dental textbooks or dental laboratory manuals.

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An object with mass of 50kg moves with

velocity of 11. 2m/s and an event occur

whereby it transfers 1539 of energy to

another objects as work.

What is the new

velocity of the object after the event??

Answers

The new velocity of the object after the event is 7.99m/s.

We are given that,

Mass = m = 50kg

Initial velocity = v = 11.2m/s

Energy = E = 1539j

The kinetic energy of object can be calculated as,

K= (1/2)mv²

K = (50×125.44)/2

K = 3136J

Consequently, since both the initial kinetic energy and the total amount of energy transferred are known. The article's resulting energy is easily discernible.

Final energy = initial kinetic energy - the ending energy

Final energy  = 3136-1539= 1597 joules

Therefore, using the equation for kinetic energy derivation, the speed of the object can now be determined.

K.E = 1/2MV²

1597 = 50/2V²

3194 = 50V²

V = 7.99m/s

Therefore , the new velocity of the object after the event would be 7.99m/s.

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An object travels 8 meters in the first second of travel, 8 meters again during the second second of travel, and 8 meters again during the third second. Its VELOCITY in meters per second is O 0 0 5 O 8 O 10 O more than 10 MARE​

Answers

Answer:

V = (S2 - S1) / t

V = 8 m / 1 s = 8 meters /second

what is its angular velocity? express your answer in radians per second to three significant figures.

Answers

pi/1800

Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. The angle in the illustration between a line on one body and a line on the other serves as a representation of this displacement.

As a vector number that indicates an object's angular speed or rotational speed as well as the axis around which it is spinning, angular velocity is defined as the rate of change of angular displacement.

According to the graph, a rigid body's angular velocity () is influenced by its angular rotation ().

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the vast majority of human behavior in society is considered prosocial behavior. state of true or false
- True
- False

Answers

Yes it is true  ,A broad group of actions with the intention of assisting others includes helping, sharing, providing comfort, contributing or volunteering, and cooperating.

Research on prosocial conduct has looked at the potential causes and effects of these behaviors as well as the various reasons that might be at play. Prosocial Behavior's Type 3. The factors. Actions that "benefit other people or society as a whole," such as assisting, sharing, contributing, cooperating, and volunteering, are considered prosocial conduct, also known as "voluntary behavior intended to benefit another." Evidence demonstrates that prosociality is essential to social groupings' wellbeing on a variety of measures. Empathy has significant evolutionary roots and is a powerful motivator of prosocial action. Children benefit from the development of desirable qualities fostered by prosocial activity.

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A 50 kg child is on a carnival ride with a radius of 5 meters. If the ride spins at a velocity of 5
m/s, what is the centripetal force on the child?

Answers

Explanation:

Find a force is F=mv^2/r, so F=50*5^2/5 = 250N

light of wavelength 605.0 nm is incident perpendicularly on a soap film with an index of refraction of 1.48 suspended in air. what is the smallest thickness of the film for which the reflections from the film undergo fully constructive interference?

Answers

The smallest thickness of the soap film for which the reflections undergo fully constructive interference is approximately 204.4 nm.

To find the smallest thickness of the soap film for which the reflections undergo fully constructive interference, we need to consider the concept of wavelength and interference.

Constructive interference occurs when the reflected waves combine in such a way that their amplitudes add up, resulting in a brighter reflection. For this to happen in a thin film, the path difference between the reflected waves must be an integer multiple of the wavelength within the film.

First, we need to find the wavelength of the light within the soap film. To do this, we use the formula:

wavelength_in_film = wavelength_in_air / index_of_refraction

wavelength_in_film = 605.0 nm / 1.48 ≈ 408.8 nm

Now, we can find the smallest thickness of the film that results in constructive interference. For this, the path difference should be half the wavelength within the film since the light reflects twice in the film (once at the top surface and once at the bottom surface). So, the smallest thickness for constructive interference is:

thickness = (wavelength_in_film / 2)

thickness ≈ 408.8 nm / 2 ≈ 204.4 nm

The smallest thickness of the soap film for which the reflections undergo fully constructive interference is approximately 204.4 nm.

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How much work is done by the electric field as it pushes 0.15c of charge through a potential difference of 9.0 volts?

Answers

1.4J of work is done .

What is Work done?

Anytime a force transports something over a distance, work is performed. By multiplying the force by the distance moved in the direction of the force, you may determine the amount of energy transferred or work accomplished.

The relation states that the amount of labor needed to transport a unit charge from one location to another is equal to the potential difference between any two points in an electric circuit.

we can calculate the work done :

W= VQ = 9.0(.15C)=1.4J

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energy is the ability to___or___ matter​

Answers

Energy is defined in science as the ability to move matter or change matter in some other way.

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (40pts)

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this

Answers

D.)downward toward the center of earth

One liter of gas is measured out at 37 °C at a constant pressure. What volume will it occupy at -25°C?
A. 1200 mL
B. 1800 mL
C. 800 mL
D. 833 mL

Answers

The volume that 1L of gas will occupy at 37°C and a constant pressure is 0.8L. Details about volume can be found below.

How to calculate volume?

The volume of a gas can be calculated using the Charles law equation as follows:

V1/T1 = V2/T2

Where;

V1 = initial volumeV2 = final volumeT1 = initial temperature = 37°C + 273 = 310KT2 = final temperature = -25°C + 273 = 248K

1/310 = V2/248

248 = 310V2

V2 = 248 ÷ 310

V2 = 0.8L

Therefore, the volume that 1L of gas will occupy at 37°C and a constant pressure is 0.8L.

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what is the main difference between a substance going through a physical change and one going through a chemical ?

Answers

Answer: Physical changes only change the appearance of a substance, not its chemical composition. Chemical changes cause a substance to change into an entirely substance with a new chemical formula. Chemical changes are also known as chemical reactions.

Answer:

just give the other person brainlyest

Explanation:

why is saturn almost as large in radius as jupiter despite its smaller mass?

Answers

Answer:

Saturn is almost as big as Jupiter despite its smaller mass because Jupiter is a more dense gas giant than Saturn.

Explanation:

the main cause of melting along subduction zones is the:
a. rise and decompression melting of mantle lithosphere
b. rise and decompression melting of mantle lithosphere
c. melting of the subducting plate
d. release of water from the subducting plate

Answers

The main cause of melting along subduction zones is the d. release of water from the subducting plate.

Subduction zones are areas where one tectonic plate moves beneath another, causing the denser plate to sink into the mantle. This process generates a significant amount of heat, which contributes to the melting of rocks in the mantle lithosphere.
As the subducting plate moves deeper into the mantle, it experiences increasing pressure and temperature. The minerals within the subducting plate contain water, which is released as the plate is subjected to these extreme conditions. This released water reduces the melting point of the surrounding mantle rocks, causing them to partially melt.

This partial melting creates magma, which can rise through the mantle lithosphere and eventually reach the Earth's surface, resulting in volcanic activity. The release of water from the subducting plate, therefore, plays a crucial role in generating the magma that leads to volcanic eruptions along subduction zones.
In summary, the main cause of melting along subduction zones is the d. release of water from the subducting plate, which lowers the melting point of surrounding mantle rocks and generates magma. This magma can rise through the mantle lithosphere, causing volcanic activity in these regions.

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Final answer:

The main cause of melting in subduction zones is the release of water from the subducting plate, which lowers the melting temperature of the surrounding rocks and causes them to melt.

Explanation:

The main cause of melting along subduction zones is primarily the release of water from the subducting plate (option d). When the oceanic lithosphere subducts, it carries with it water that has been trapped in the minerals of the crust and upper mantle. This water lowers the melting temperature of the surrounding rocks, causing them to melt and form magma. This is termed 'flux melting'. For example, the subduction of the Pacific Plate beneath the North American Plate in the Cascadia subduction zone causes intense volcanic activity in the Pacific Northwest.

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Here's the screenshot

Here's the screenshot

Answers

I think the answer is B

studx the pulley in (figure 1) represents different pulleys that are attached with outer radius and inner radius indicated in the table. the horizontal rope is pulled to the right at a constant linear speed that is the same in each case, and none of the two separate ropes slips in its contact with the pulley.

Answers

The ranking of given scenarios on the basis of the linear speed of block is: C > E > A = B = D > F

What is a pulley system?

A pulley is a wheel on an axle or shaft designed to assist in the movement and change of direction of a tensioned cable or belt, or in the transmission of power between a shaft and a cable or belt.

Whether belts, cables or chains, all cable pull systems work according to the same principle. For example, the speed of all pulleys in a pulley system can be calculated by taking the ratio of the diameters of each pulley.

Linear speed (v) ∝ R inner/R outer

So, the higher the value of ratio, higher will be the speed.

Let's calculate the R inner/R outer ratios for each case:

A) 0.4/0.8 = 0.5

B) 0.1/0.2 = 0.5

C) 0.5/0.6 = 0.83

D) 0.2/0.4 = 0.5

E) 0.3/0.4 = 0.75

F) 0.2/0.6 = 0.33

The speed in highest in case C, whereas it is lowest in case F.

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The complete question is as follows:

The pulley in (figure 1) represents different pulleys that are attached with outer radius and inner radius indicated in the table. the horizontal rope is pulled to the right at a constant linear speed that is the same in each case, and none of the two separate ropes slips in its contact with the pulley.

A) R outer = 0.8m; R inner = 0.4m

B) R outer = 0.2m; R inner = 0.1m

C) R outer = 0.6m; R inner = 0.5m

D) R outer = 0.4m; R inner = 0.2m

E) R outer = 0.4m; R inner = 0.3m

F) R outer = 0.6m; R inner = 0.2m

Rank these scenarios on the basis of the linear speed of block.

The rate at which electric
charges flow through a
circuit

Answers

Answer:

The answer is Current.

what is the smallest possible value for the index of refraction?

Answers

Answer:

1.0

Explanation:

The smallest possible value for the index of refraction is 1.0.

What is Index of refraction?

This talks about how fast light travels through an object by taking note of how much the light is bent, or refracted, as it enters into the material.

The smallest possible value for the index of refraction is 1.0 because the speed of light in any medium is always less than than the speed of light in air or vacuum.

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All other units of measure are defined and compared to the four basic measurements of length, __?__. weight, consistency, viscosity height, width, weight height, weight, and temperature weight, time, and temperature

Answers

All other units of measure are defined and compared to the four basic measurements of length, time, temperature and weight

Measurement is the association of numbers with physical quantities and phenomena. A unit is a standard measure of a physical quantity that allows measurements to be compared and communicated. Length, time, temperature and weight are considered basic or basic measurements. The more accurate these meters are, the more accurate the area measurement will ideally be.

A measurement quantifies a property of an object or event that can be compared to other things or events. The measure is the most commonly used word when dividing various sizes.  For example, velocity is an attained unit that correlates total length and time, whereas density is one that relates total length and mass.

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What does the acronym B.E.E.F. stand for?

Question 5 options:

box-out, elbows out, energize, follow-through


balance, engage, eyes, field goal


block, engage, eyes, free-throw


balance, eyes, elbow in, follow-through


The defense is the team that has possession of the basketball, and is trying to score points.

Question 6 options:
True
False
Question 7 (5 points)
The bounciness of a basketball is most important for which action?

Question 7 options:

Shooting


Passing


Dribbling


Stealing

Question 8 (5 points)
What can you infer about why certain shots are worth three points, and others are only worth two?

Question 8 options:

Three-point shots are taken from longer distances, so they're harder to make


Three-point shots reward players for not committing fouls when they shoot


Three-point shots require shooters to battle through more defensive pressure than two-point shots


Three-point shots can only be taken by guards, while two-point shots can be taken by any player

Question 9 (5 points)
How are free throws different from ordinary shots?

Question 9 options:

They only occur late in games


They're taken by defensive players, not offensive players


They cannot be rebounded


They're each worth one point instead of two or three

Question 10 (5 points)
A player with the basketball has to dribble the ball to be able to move around.

Question 10 options:
True
False
Question 11 (5 points)
All shots in basketball are worth two points.

Question 11 options:
True
False
Question 12 (5 points)
Which skill is least useful on defense?

Question 12 options:

Speed


Strength


Passing Ability


Jumping Ability

Question 13 (5 points)
Who is the inventor of basketball?

Question 13 options:

James Naismith


John Bradshaw


Jerry West


Joe Namath

Question 14 (5 points)
What conclusion can be drawn from the fact that many of the best international players want to play in the NBA?

Question 14 options:

It's easier to join NBA teams than teams in other countries


Many of these players have never been to the United States


Basketball isn't very popular outside the United States


The NBA is the most competitive league in the world

Question 15 (5 points)
Which action is taken only by teams on offense?

Question 15 options:

Rebounding


Blocking


Stealing


Shooting

Question 16 (5 points)
A free-throw is a one point shot from the foul line.

Question 16 options:
True
False
Question 17 (5 points)
Finger-pads, waist level, and eyes up are cues for what skill?

Question 17 options:

Shooting


Stealing


Dribbling


Passing

Question 18 (5 points)
A person should step toward their target when passing the basketball.

Question 18 options:
True
False
Question 19 (5 points)
Any illegal physical contact to a basketball player is a foul.

Question 19 options:
True
False
Question 20 (5 points)
It is important to keep the _________ in when shooting the basketball.

Question 20 options:

Ankle


Foot


Knee


Elbow

Answers

Answer:

balance, eyes, elbow in, follow-through

Explanation:

2. Think about the energy that was needed to form the wave in the pool. Where did the energy come from? ​

2. Think about the energy that was needed to form the wave in the pool. Where did the energy come from?

Answers

Wave energy is actually a concentrated form of solar power generated by the action of the wind blowing across the surface of the oceans water which can then be used as a renewable source of energy. As the suns rays strike the Earth's atmosphere, they warm it up.

what is the phase of the moon when the moon is positioned between the sun and earth?

Answers

Answer:

Solar eclipse

Explanation:

A solar eclipse is when the moon passes between the sun and Earth, causing it to go dark and to give the moon a halo effect :D hope this helped!

what centripetal acceleration is needed to keep a 1 kg ball moving in a circle of radius 2 m at a speed of 5 m/s

Answers

We will have the following:

First, we know that the centripetal acceleration is given by:

\(a_c=\frac{v^2}{r}\)

So, the centripetal acceleration is:

\(a_c=\frac{(5m/s)^2}{(2m)}\Rightarrow a_c=\frac{25}{2}m/s^2\)\(\Rightarrow a_c=12.5m/s^2^{}\)

14. All motion is relative to a reference point. (5 points)
True
False

Answers

Answer:

yes

Explanation:

All Motion is relative to a reference point. Object appears to move whether object moves, the reference point moves, or both move. is the distance traveled by an object over the period of time in which it moved. Ex - a racecar driver completes a three-mile lap in 60 seconds.

The statement "All Motion is relative to a reference point." is True.

What is frame of reference?

An inertial frame of reference is a frame of reference in which the Newton's laws are valid. In this frame of reference, the objects do not accelerate without any external force. All frames of reference moving with constant velocity are considered stationary.

In a non-inertial frame of reference, the Newton's laws will not work. They are moving with an acceleration.

All Motion is relative to a reference point. Object appears to move, the reference point moves, or both move is the distance traveled by an object over the period of time..

Thus, the statement "All Motion is relative to a reference point." is True.

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superposition of waves can produce a) a larger wave. b) a smaller wave. c) no wave. d) all the above

Answers

The superposition of two waves can produce a smaller wave, a larger wave and no wave as well.

When any two waves travel along the same medium and they overlaps each other, there amplitude overlaps each other, this phenomena is known as superposition of two waves.

When any two waves interferes with each other they can form a wave of greater amplitude, smaller amplitude or even of equal magnitude.

Whether there will be a wave of larger or smaller amplitude it depends totally on the kind of interference taking place.

If the interference is constructive the wave amplitude it supposed to be larger but if the wave interferences destructive than the amplitude of the wave is supposed to be smaller.

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A beam of light passes through water (n1=1.33) into a mystery substance at an angle of 43 (01) if the beam of the light refracts to an angle of 22 (02) in the mystery substance what is the refractive index (n2) of the mystery substance

Answers

The refractive index of the mystery substance is n2 = 2.17.

What is refractive index?

Refractive index is a physical quantity that describes how light interacts with a particular material. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. Refractive index is an important factor in optics, as it determines how much light is bent or refracted when it enters a material, and the angle at which it is refracted. Refractive index is also used to measure the thickness of a material or to calculate the index of refraction of a material. It is also used to determine the refractive properties of gemstones, for example in gemology.

The refractive index of the mystery substance (n2) can be calculated using Snell's law, which states that n1*sin(01) = n2*sin(02).
Therefore, n2 = n1*sin(01)/sin(02) = 1.33*sin(43°)/sin(22°) = 2.17
This means that the refractive index of the mystery substance is n2 = 2.17.

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Consider the system shown in the figure. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00-kg block and the tabletop is m_k=.25 . The blocks are released from rest.Use energy methods to calculate the speed of the 6.00-kg block after it has descended 1.50 m. How do i calculate work on the 8kg block.

Answers

Plugging in the given values and solving for the final velocity of the 6kg block will give you the speed of the 6.00-kg block after it has descended 1.50 m. In this case, the normal force is the weight of the 8kg block, and the displacement is the distance that the 8kg block moves.

Energy Method Block Speed

To calculate the speed of the 6.00-kg block after it has descended 1.50 m, you can use the conservation of mechanical energy. The initial mechanical energy of the system is the potential energy of the 6.00-kg block (mgh) and the potential energy of the 8.00-kg block (mgh). As the blocks move, some of this energy is converted into kinetic energy, and some is lost to friction. The equation for the conservation of mechanical energy is:

E_initial = E_final + W_friction

Where E_initial is the initial mechanical energy of the system, E_final is the final mechanical energy of the system, and W_friction is the work done by friction.

The final mechanical energy of the system is the kinetic energy of the 6.00-kg block (1/2 mv²) and the potential energy of the 8.00-kg block (mgh).

To calculate the work done by friction, you can use the equation:

W_friction = force x distance x cos(theta)

Where force is the force of friction, distance is the distance over which the force of friction acts, and theta is the angle between the force of friction and the displacement. The force of friction is the coefficient of kinetic friction times the normal force.

In this case, the normal force is the weight of the 8kg block, and the displacement is the distance that the 8kg block moves.

W_friction = m_kF_nd

Where m_k = 0.25 is the coefficient of kinetic friction, F_n = 8*9.8 N is the normal force, and d = 1.5m is the distance that the 8kg block moves.

Plugging in the given values and solving for the final velocity of the 6kg block will give you the speed of the 6.00-kg block after it has descended 1.50 m.

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Select the correct answer.
Which particles make up the nucleus of an atom?
O A.
protons and electrons
OB.
neutrons and electrons
O C.
protons only
OD.
protons and neutrons
O E.
neutrons only

Answers

Answer: OD. Protons and neutrons

Explanation: They are both in the nucleus. The electrons are outside.

You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.

You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With

Answers

The given problem can be solved using the following free-body diagram:

The diagram is the free-body diagram for the pulley that is holding the weight. Where:

\(\begin{gathered} T=\text{ tension} \\ m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}\)

Now we add the forces in the vertical direction:

\(\Sigma F_v=T+T-mg\)

Adding like terms:

\(\Sigma F_v=2T-mg\)

Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:

\(2T-mg=0\)

Now we solve for "T" by adding "mg" from both sides:

\(2T=mg\)

Now we divide both sides by 2:

\(T=\frac{mg}{2}\)

Now we substitute the values and we get:

\(T=\frac{(64\operatorname{kg})(9.8\frac{m}{s^2})}{2}\)

Solving the operations:

\(T=313.6N\)

Now we use the free body diagram for the second pulley:

Now we add the forces in the vertical direction:

\(\Sigma F_v=T-F\)

The forces add up to zero because the velocity is constant and the acceleration is zero:

\(T-F=0\)

Solving for the force:

\(T=F\)

Therefore, the pulling force is equal to the tension we determined previously and therefore is:

\(F=313.6N\)

You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With
You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With
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