How electromagnet works in circuit breaker

Answers

Answer 1

Explanation:

A circuit breaker is an automatic switch that cut off current in a circuit when the current become too large. When the current in a circuit increases, the strength of the electromagnet will increase in accordance; this will pull the soft iron armature towards the electromagnet.


Related Questions

Recently, I did an experiment on pressure and volume. When I decreased the volume, the pressure decreased, and when I increased the volume, the pressure decreased, like normal. However, when increasing the volume, the pressure recorded was slightly higher than when decreasing the volume. What is the reason for this (I'm sorry for being unable to attach a photo of the results)

Answers

The relationship between pressure and volume is described by Boyle's Law, which states that at a constant temperature, the pressure and volume of a gas are inversely proportional. This means that as the volume increases, the pressure decreases, and as the volume decreases, the pressure increases.

However, it is important to note that the relationship between pressure and volume is not always perfect and there are many factors that can affect the measurements. For example, if the apparatus used to measure the pressure and volume is not calibrated properly, or if there is a leak in the system, this can lead to inaccurate results. Additionally, external factors such as temperature changes or the presence of impurities in the gas can also affect the measurements.

It is possible that the reason for your observation is an experimental error, or if not, it could be that you have discovered something new or an exception to the Boyle's Law. I recommend you to repeat the experiment and check your measurements and equipment, also double check your calculations and notes.

A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 50 points lol the last two times I've asked ive gotten either no explanation or a link to a calculator...]

Answers

The minimum value of the coefficient of static friction is 1.33.

What is the coefficient of static friction?

To calculate the minimum value of the coefficient of static friction, we need to determine the force of static friction acting on the block. The force of static friction is equal to the force of gravity acting on the block (mg) multiplied by the coefficient of static friction (µs

m = 14.26kg

θ = 41°

g = 9.8 m/s²

The force of gravity acting on the block is given by the formula:

Fg = mg

where,

m =  (mass of the block)

g =  (acceleration due to gravity)

Fg = 14.26kg *9.8 m/s²

Fg = 139.75 N

The force of static friction can be found using the formula:

Fstatic = µs * N

where,

µs = coefficient of static friction (unknown)

N = Normal force acting on the block

The normal force acting on the block is equal to the force of gravity acting on the block perpendicular to the ramp.

N = mg * cos(θ)

where,

θ = 41 degrees (incline of the ramp)

N = 14.26kg * 9.8 m/s² * cos 41°

N = 105.47 N

So,

Fstatic = µs * (mg * cos(θ))

making µs subject of the formula and substituting already calculated vaues we get,

µs =      Fstatic

          (mg * cos(θ))

µs =    139.75 N

         105.47 N

µs = 1.33

This is the minimum value of the coefficient of static friction.

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The volume of gas kept at a constant pressure varies inversely with the temperature t. If the temperature is 50 degrees, the volume is 20 cubic feet. What will the volume be when the temperature is 100 degrees?.

Answers

The volume of that gas in the 100 degrees temperature will be 100 cubic feet. The condition of the area is isobar or the same pressure. Hence, you have to formulate the solution based on isobars formula.

How to calculate the volume for that condition?

As per data given, previous volume (V1) = 20 cubic feet; previous temperature (t1) = 50 degrees; current temperature(t2) = 100 degrees. the condition of the area is in the constant pressure or isobars. The formula we will use in the isobar is V1 : V2 = t1 : t2. So, the calculation would be:

V1 : V2 = t1 : t2

20 : V2 = 20 : 100

20 V2 = 20 x 100

V2 = 100 cubic feet

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A 5. 0 kg object, initially at rest, is acted on by a net force of 3. 0 s. During that time the object moves.

Answers

The distance moved by an object when it acted by a net force 1 N and time 3s is found to be 0.9m

Why is mass acceleration due to net force?

According to this, an object's rate of change in velocity is directly proportional to the force used and moves in the direction of the applied force. The equation: summarises it. Mass (kg) times acceleration (m/s2) equals force (N). A constant mass item will therefore accelerate in direct proportion to the force exerted.

F = ma

acceleration = F/m => 1/5

v= u + at, u=0 (initially at rest);

v=at = distance/t = at;

S = distance => ut + 1/2at^2

=> 0 + 1/2 x 1/5 x 9 => 0.9m

the distance traveled by object in the given time 3s = acceleration x t2

How is acceleration calculated?

The acceleration is determined by dividing the net force by the mass. An object's acceleration doubles if the net force exerted on it also doubles. Increased mass will result in a halving of acceleration. If the mass and net force are both doubled, the acceleration will remain constant.

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A net force of 1.0 N acts on a 5.0-kg object, initially at rest, for 3.0 seconds. What is the distance the object moves during that time?

HELP PLEASE HELP PLEASE

Answers

Refer to the attached image.

What is the difference between a physical and chemical change ?

Answers

Answer:

In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not.

However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed.

Hope this helps :)

Which statement best summarizes the information in the paragraph? Earthquakes may occur at all types of plate boundaries. The strength of an earthquake depends on the type of boundary. All earthquakes at plate boundaries result from forces underneath Earth’s surface or volcanic eruptions. Different types of plate interactions result in earthquakes of varying strengths at various depths.

Answers

Different types of plate interactions at plate boundaries can cause earthquakes of varying strengths, at various depths, which can be caused by both forces underneath Earth's surface and volcanic eruptions.

What is plate interaction?

Plate interactions refer to the forces and mechanisms that cause the movements and interactions of the Earth’s plates. These interactions are driven by convection currents in the Earth’s mantle, which are generated by the heat energy released by the Earth’s core. The plates move in different directions, resulting in different types of plate interactions. The most common type of plate interaction is called divergent boundaries, which occur when two plates move away from each other.

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Answer: D

Explanation:

Question 3 of 5
The gravitational pull of the Moon is much less than the
gravitational pull of Earth.
Which two statements are true for an object with a mass of 20 kilograms that
weighs 44 pounds on Earth?
A. The object's mass would be less on the Moon.
B. The object's mass would be the same on the Moon.
C. The object's weight would be the same on the Moon.
D. The object's weight would be less on the Moon.

Answers

Answer:

Number b and c are true

B. The object's mass would be the same on the Moon.

C. The object's weight would be the same on the Moon.

A 0.50 kg mass is attached to a string 1.2 m long and moves in a horizontal circle completing 5 revolution in 1.5 seconds. Calculate:

a) the centripetal acceleration of the mass.
b) the tension in the string.

Answers

a) The centripetal acceleration of the mass is 526.38 m/s².

b) The tension in the string  is 263.19 N.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Angular speed of the mass = (5/1.5) revolution per second

= (5 ×2π)/1.5 rad/s

= 20.94 rad/s

a)  the centripetal acceleration of the mass = ω²r

= (20.94)²×1.2 m/s²

= 526.38 m/s².

b)  the tension in the string = mω²r

= 0.50 kg × 526.38 m/s²

= 263.19 N.

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The motion of an object moving with uniform circular motion is always to the circle, so the speed of an object moving in a circle is known as speed.

Answers

The motion of an object moving with uniform circular motion is always tangent to the circle, so the speed of an object moving in a circle is known as the tangential speed..

Uniform circular motion is the motion of an object in a circular path with a constant speed and the direction of velocity is perpendicular to the direction of acceleration. Examples of objects that experience uniform circular motion are wheels and clockwise motion where these objects have a constant linear speed, constant angular velocity, and constant centripetal acceleration. The speed in the circular motion of the object is also called the tangential speed where the object is moving in a circle in the direction of offending its spin path.

Centripetal acceleration is the acceleration directed towards the center of the circle. this centripetal acceleration that makes the wheel and clockwork move in a circle because they are accelerating towards the center of the circle.

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If you apply a force of 10 n to a box and push it 10 m in 10 s, how much power did you deliver?.

Answers

According to the given statement 10W power did you deliver.

What is power?

Power is the rate at which energy is transferred, transformed, or converted. It is a measure of the amount of work that can be done in a given amount of time. In physics, power is the product of the time rate of change of energy, or the rate of doing work. Power is measured in watts or joules per second (J/s). It is an important concept in many fields, such as mechanics, thermodynamics, electromagnetism, and nuclear physics. It is also used to measure the capacity of machines, devices, and systems to perform work.

Force=10N

Distance =10m

Time=10s

Power =?

But Power= Work done/Time taken

P= W/s

W= F x d=10x10=100

P=100/10

P=10W

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According to Gordon Allport, which type of peronality trait are the mot dominant?

Answers

Allport believed that personality of human is categorized into three traits:Cardinal, Central and secondary. Among these traits, there exists a dominant force that defines your personality and influence your behavior, feelings and thoughts. This is called Cardinal Traits.

About Gordon Allport

Gordon AllportGordon Allport (November 11, 1897  – October 9, 1967) was a psychologist. He earned his doctorate in psychology from Harvard in 1922. He spent his career developing theories, studying social issues, such as prejudice, suspicion, communal, and developing personality tests.

According to Allport, one of the things that most motivates humans is the tendency to fulfill their biological needs. This tendency is called by Allport with opportunistic functioning. Opportunistic functioning is reactive, past oriented, and biological.

Nevertheless, Allport considers this opportunistic functioning is not very important in understanding human behavior, in fact most human behavior is motivated by something else, something that functions in the framework of self-expression, which Allport calls ''Propriate functioning''.

The point is that whatever a person does in life is usually for the sake of showing who he is. This self-function is proactive, future-oriented, and psychological. The word propriate comes from the word proprium which means self-concept. Allport's intention by putting more pressure on the proprium is to define the concept of self as carefully as possible.

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Silver has a resistivity of 1.6 x 10
m. If you make a silver wire that's 10
m long with an area of 3 x 10-6 m², what is the wire's resistance? (4 points)

Answers

Explanation:

click on the image and thats your answer

Rock dropped from 18.16 m above the ground how fast will traveling when it reaches the ground

Answers

Answer: The Rock will be traveling at 5.93 m/s or around 21.4 km/hr or 13.3 mi/hr when it reaches the ground. (you can use go0gle to convert the speeds to something else, if needed)✅

PLEASEE GIVE BRANLIEST!!!

Explanation: ✅

The speed of the rock when it reaches the ground can be calculated using the equation:

v = √(2gh)

where v is the velocity, g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth), and h is the height from which the rock is dropped.

So, the speed of the rock when it reaches the ground will be approximately:

v = √(2 * 9.8 * 18.16) = √(35.1328) = 5.93 m/s

It will be traveling at 5.93 m/s or around 21.4 km/hr or 13.3 mi/hr when it reaches the ground.

The creator of the diagram above considers gerrymandering to be "stealing an election." How do the maps exemplify this?
OA. Map A is fair to members of the Red Party.
OB. Map B is fair to members of the Blue Party.
O C. The maps show representation that is proportional to the voters registered with each party.
O D. Both maps give disproportionate representation to the party that had the power to draw the lines.
M
31
DELL

Answers

District-based voting is used to choose representatives in Congress, state legislatures, and many county and municipal positions. In contrast, populations shift. Depending on the district, folks may move in or move out. The demographics of districts may also shift.

Option C is correct Answer.

Why does redistricting matter?Election power is impacted by redistricting. It decides which political party rules the US Congress as well as the state and municipal governments. Redistricting so directly influences which issues a legislature decides to address and which to disregard.Also impacted by redistricting is the representation of the varied populations in the country's legislative bodies. By using redistricting, for instance, one can guarantee that communities of color have an equal opportunity to choose politicians who share their perspective and will support their issues. Another option is to deny them a place at the table. same goes for all other categories of communities of interest.

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A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone. Which conic section is formed?.

Answers

Answer:

Hyperbola

Explanation:

Hyperbola: When the plane intersects the double napped cone such that the angle between the vertex and the angle is less than the vertex angle, the resulting conic section in the form of an open curve is called a hyperbola.

When is there a decrease in air pressure on top of a plane's wing?
A)as the plane's speed decreases
B)as the plane's fuel runs low
C)as the plane's speed increases

Answers

Answer: Option C.

Explanation:

As the speed of plane increases and it moves forward it allows to push air on the bottom of the wings of the plane which results in increasing the pressure

The fact of air pressure on top of planes wing decreases with the increase bin plane's speed is based on Bernoulli’s Principle which states that with the fast moving air, the pressure decreases.

Therefore,n when the plane moves up it's wing pushes air down and on the same time the air pressure decreases at the top of the wing, this difference between the high and low pressure allows the flight to lift up.

Hence, the correct option is C.

a 415-kg container of food and water is dropped from a airplane

Answers

Since the object is experiencing free fall, if you ignore air resistance, the time it will take the container to fall 300m to the ground is 7.82 seconds.

What is free fall?

Any motion of a body in which gravity is the only force acting on it is referred to as free fall.

The object dropped from the airplane is experiencing free fall.

Ignoring air resistance, the only force acting on the container is the force of gravity which accelerate the container by a constant value.

The time taken for the object to reach the ground is determined using the formula of an object  experiencing free fall as given below:

s = ut + ¹/₂gt²

where

h is the height above the ground = 300 m

u is the initial vertical velocity of the container and is equal to zero since the object starts from rest.

g is the acceleration of gravity = 9.8 m/s²

t is the time = ?

The equation above becomes;

h = ¹/₂gt² since u is zero

Solving the equation for t:

t = √2h/g

t = √2 * 300 / 9.8

t = 7.82 seconds.

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Complete question:

A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.

1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?

A 1,500 kg satellite is in orbit around Earth at a distance of 1 Earth radius above the surface.
Earth's mass is 5.97 x 1024 kg, and its radius is 6.37 x 106 m.
Calculate the magnitude of the gravitational force acting on the satellite.

Answers

The magnitude of the gravitational force acting on the satellite is 3.16 x 10^22 N.

How calculate the gravitational force?

The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation: F = G * (m1 * m2) / r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.

To calculate the gravitational force acting on the satellite, we need to know the mass of the satellite (m1) and the distance between the center of Earth (m2) and the center of the satellite (r).

The mass of the satellite is given as 1,500 kg

The distance between the center of Earth and the center of the satellite is the distance from the surface of Earth to the satellite + the radius of Earth:

r = (1 Earth radius + 6.37 x 106 m)

We can use the given information to calculate the force of gravity acting on the satellite:

F = G * (m1 * m2) / r^2

F = (6.67 x 10^-11 N*(m^2)/(kg^2)) * (1,500 kg * 5.97 x 1024 kg) / (6.37 x 106 m + 6.37 x 106 m)^2

F = 3.16 x 10^22 N

The magnitude of the gravitational force acting on the satellite is 3.16 x 10^22 N.

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Answer:

3,700 N

Explanation:

Someone already explained it, but didn't give an answer that can be put into khan academy.

a mechanical wave transmits energy through a vacuum. true or false?

Answers

Answer:

False

Explanation:

False ... a mechanical wave needs a medium of particles to propagate....a vacuum has no particles

8. A penny dropped into a wishing well
reaches the bottom in 1.50 seconds. How
deep was the well?

Answers

Answer: 11 meters

Explanation: i'm rlly sorry if i am wrong

To calculate the depth of the well, we can use the equation:

distance = 1/2 * acceleration due to gravity * time^2

Where distance is the depth of the well, acceleration due to gravity is 9.8 m/s^2, and time is the time it takes for the penny to fall to the bottom of the well.

Plugging in the given value of time = 1.5 seconds and acceleration due to gravity = 9.8 m/s^2.

Distance = 1/2 * 9.8 * (1.5)^2 = 11.55 meters

So the depth of the well is approximately 11.55 meters.

An advantage of electromagnets over bar magnets is that you can easily vary the __________ of the magnetic field. What word completes this sentence?.

Answers

An advantage of electromagnets over bar magnets is that you can easily vary the strength of the magnetic field.

What is electromagnets?

An electromagnet is a type of magnet that is created when an electric current passes through a coil of wire. It produces a magnetic field due to the current flowing through the coil. Electromagnets are used in a wide variety of applications, such as motors, generators, speakers, and magnetic separation equipment. Electromagnets have the advantage of being able to be switched on or off, which allows them to be used in a controlled manner. They are also able to be adjusted in strength, which makes them very versatile and powerful. Electromagnets are also used in magnetic resonance imaging (MRI) machines, where they create a magnetic field that is used to take images of the body's internal structures.

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A 2 kg book is sitting on a table. A 10 n force is pulling to the right. A 3 n force is pulling to the left. What is the net force acting on the book?.

Answers

The net force acting on the book is 7N right.

The net force is defined as the total of all forces exerted on an object. Net force is essential since it aids in describing the motion of an item and can be used to calculate acceleration. The first law of motion of Isaac Newton states that an object in motion will remain in motion and an object at rest will remain at rest unless acted upon by a net force that is imbalanced. This indicates that knowing the net force acting on an object will aid in predicting its velocity.

In this case, we are given that:

Force F1 = 10 N pulling to the right

Force F2 = 3 N pulling to the left

Let's assume the right is positive and the left is negative.

To calculate the net force, we can use this following formula:

Fnet = F1 + F2

Fnet = 10 + (-3)

Fnet = 7

As the result, the net force would be 7 N.

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A person pulls a sled along a flat snowy surface, dragging it with a rope. The rope makes a 20-degree angle with the ground. How much work does the person do on the sled if she drags it for 125 meters with a force of 70 N?

Answers

The person will do 8222.3 Joules of work on the sled if she drags it.

What does "work" mean in physics?

Work is a physics term used to describe the energy transfer that takes place when an object is moved over a distance by an external force, at least some of that is applied in the direction of the displacement.

Given, angle made by the rope θ = 20°

displacement, s = 125m

force, F = 70N

Positive work is done by the force's displacement-direction component.

W = Fcosθ.s

W = 70N(cos20°)125m.

W = 8222.3 Joules

Since it is perpendicular to the distance, the force's vertical component does NOTHING. In other words, it is ineffective at moving the sled. Since it is the horizontal component of the force that moves the object, it is effective.

The person will do 8222.3 Joules of work on the sled if she drags it.

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A pool cue ball moving at 2.1 m/s east collides in a straight line with the eight ball at rest. (You may assume that the cue ball and the eight ball have the same mass.) Find the velocity of the eight ball after the collision if momentum is conserved and
the cue ball stops
the cue ball continues on in the same direction at 0.10 m/s
the cue ball continues on in the same direction at 0.70 m/s.

Answers

1. 2.1 m/s west.

2. 2.0 m/s west.

3. 1.4 m/s west.

Momentum is a conserved quantity, meaning that it is neither created nor destroyed. This means that the total momentum of the system (cue ball and eight ball) before and after the collision must stay the same. After the collision, the momentum of the system is equal to the momentum of the eight ball alone since the cue ball no longer has momentum after it stops (for option 1) or has a different momentum depending on its speed (for options 2 and 3).

Since momentum is mass times velocity, we can solve for the velocity of the eight ball by rearranging this equation:

Momentum = Mass x Velocity

Velocity = Momentum / Mass

Plugging in the given values:

1. Velocity = (2.1 m/s east) / (mass of both balls) = 2.1 m/s west

2. Velocity = (2.1 m/s east + 0.10 m/s east) / (mass of both balls) = 1.9 m/s west

3. Velocity = (2.1 m/s east + 0.70 m/s east) / (mass of both balls) = 1.4 m/s west

two positive charges of 6.0 μc are separated by 0.50m. what force exists between the charges?

Answers

The force that exists between the charges is calculated as 1.296 * 10^-18 N.

What is electrostatic force?

It is the force of attraction between two opposing charges, protons and electrons.

The electric force between charged bodies at rest is called electrostatic force or Coulomb force. Although the law was known earlier, but it was first published in 1785 by French physicist Charles-Augustin de Coulomb. It is the force of attraction between two opposing charges, protons and electrons.

Given, q1 = q2 = 6 *10^-6

and r = 0.5m

F= 1/4πc * q1 q2/r²

As 1/4πc = 9* 10^-9

= (9* 10^-9 * 6*10^-6*6*10^-6)/0.5²

= 1.296 * 10^-18 J

The force that exists between the charges is 1.296 * 10^-18 N.

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Lations, some variation of the question "s/decimals do I have to include in my mes up. By converting all of your numbers on you will always have 3 significant digits in You can choose to rep in standard notation, ju are included.
Perform the following calculations and report your answer with three
101,455,348 - 1,111,419 = 91300000000000
0.000000612 X 0.00031119 = 1.9e-10
297,060 + 0.0004839 = 61400000000

Answers

The following calculations in standard notation is 9.13[tex]e_{1}[/tex], 1.90[tex]e^{-10}[/tex], 6.14[tex]e^{8}[/tex].

A standard form of a number in maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.

Write the first number from the given number. Add the decimal point after the first number. Now, count the number of digits after the first number from the given number and write it in the power of 10.

The following calculations and report your answer with three

101,455,348 ÷ 1,111,419 =91.28452

=91.28452 ( in real numbers)

=9.13×[tex]10^{1}[/tex] (Scientific notation)

=9.13[tex]e^{1}[/tex]

Therefore, the answer is 9.13[tex]e_{1}[/tex].

(ii). 0.000000612 × 0.00031119 = 0.000000000190

=0.000000000190 ( in real numbers)

=1.90×[tex]10^{-10}[/tex] (in scientific notation)

=1.90[tex]e^{-10}[/tex]

Therefore, the answer is 1.90[tex]e^{-10}[/tex].

(iii). 297,060 + 0.0004839 =613900000

=613900000 ( in real numbers)

=6.14×[tex]10^{8}[/tex] (in scientific notation)

=6.14[tex]e^{8}[/tex]

Therefore, the answer is 6.14[tex]e^{8}[/tex].

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A yellow lamp emits light with a wavelength of 6.00 · 10-7 m. How many such photons are required to produce 10.0 joules worth of photons? _____ photons 7.52 x 10 48 3.01 x 10 19 3.01 x 10 49 3.32 x 10 -18

Answers

A yellow lamp emits light with a wavelength of 6.00 ·. 3.01 x 10 19 photons such photons are required to produce 10.0 joules worth of photons.

Why are photons immortal?

The quanta that make up light are called photons, and in the absence of any other interactions that would cause their characteristics to change, they remain ethereally stable with no indication that they would transform into any other particle.

In addition to releasing energy and generating heat, chemical activities within your body also release small quantities of photons, which are fundamental light particles. The bottom portion of your face and late afternoon are when the glow is most prominent.

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If a 14.26kg block is sliding down a ramp with a 41 degree incline at 2.361 m/s^2, what is the value of the coefficient of kinetic friction? PART D

Answers

The value of the coefficient of kinetic friction is 0.32.

What is the value of coefficient of friction?

The value of the coefficient of friction is calculated by applying Newton's second law of motion as shown below.

Ff = ma

where;

Ff is the force of frictiona is the acceleration of the blockm is the mass of the block

μmg cosθ = ma

μg cosθ = a

μ = a / ( g cosθ )

where;

a is the acceleration of the blockg is acceleration due to gravityθ is the angle of inclination of the block

The value of the coefficient of kinetic friction is calculated as;

μ =  ( 2.361 m/s² )  / ( 9.8 m/s² x  cos41 )

μ = 0.32

Thus, the value of the coefficient of kinetic friction between the block and the inclined ramp is a function of the acceleration of the block and the angle of inclination of the ramp.

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A convex mirror forms an image of half the size of the object. When it is moved 15 cm away from the object, the size of the image becomes 2/5 times the size of object. Find the focal length of convex mirror. Answer is 30.

Answers

Answer:

  focal length = 30 cm

Explanation:

You want the focal length of a convex mirror when moving the mirror an additional 15 cm away from the object causes its image size to decrease from 1/2 to 2/5 the size of the object.

Mirror equation

The relation between focal length (f), object distance (do) and image distance (di) is ...

  1/f = 1/do +1/di

The ratio of heights is the same as the ratio of distances:

  hi/ho =di/do

Application

If we let do represent the original object distance, then (1/2)do = di, the original image distance. This gives one equation we need:

  1/f = 1/do +1/(1/2do) = 3/do

Moving the mirror increases the object distance to (do+15). Now, the equation becomes ...

  1/f = 1/(do+15) +1/(2/5(do+15)) = 7/(2(do+15))

Solution

Substituting for 1/f, we have ...

  3/do = 7/(2(do +15))

  6(do +15) = 7do . . . . . . . . . cross multiply

  90 = do . . . . . . . . . . . . subtract 6·do

Then the focal length is ...

  1/f = 3/do

  f = do/3 = 90/3 = 30

The focal length of the mirror is 30 cm.

Other Questions
Read the poem.Law of the Jungleby Rudyard KiplingNow this is the Law of the Jungleas old and as true as the sky;And the Wolf that shall keep it may prosper, but the Wolf that shall break it must die.As the creeper that girdles the tree-trunk the Law runneth forward and backFor the strength of the Pack is the Wolf, and the strength of the Wolf is the Pack.Wash daily from nose-tip to tail-tip; drink deeply, but never too deep;And remember the night is for hunting, and forget not the day is for sleep.The jackal may follow the Tiger, but, Cub, when thy whiskers are grown.Remember the Wolf is a huntergo forth and get food of thine own.Keep peace with the Lords of the Junglethe Tiger, the Panther, the Bear;And trouble not Hathi the Silent, and mock not the Boar in his lair.When Pack meets with Pack in the Jungle, and neither will go from the trail,Lie down till the leaders have spokenit may be fair words shall prevail.When ye fight with a Wolf of the Pack, ye must fight him alone and afar,Lest others take part in the quarrel, and the Pack be diminished by war.The Lair of the Wolf is his refuge, and where he has made him his home,Not even the Head Wolf may enter, not even the Council may come.The Lair of the Wolf is his refuge, but where he has digged it too plain,The Council shall send him a message, and so he shall change it again.If ye kill before midnight, be silent, and wake not the woods with your bay,Lest ye frighten the deer from the crops, and the brothers go empty away.Ye may kill for yourselves, and your mates, and your cubs as they need, and ye can;But kill not for pleasure of killing, and SEVEN TIMES NEVER KILL MAN.If ye plunder his Kill from a weaker, devour not all in thy pride;Pack-Right is the right of the meanest; so leave him the head and the hide.The Kill of the Pack is the meat of the Pack. Ye must eat where it lies;And no one may carry away of that meat to his lair, or he dies.The Kill of the Wolf is the meat of the Wolf. He may do what he will,But, till he has given permission, the Pack may not eat of that Kill.Cub-Right is the right of the Yearling. From all of his Pack he may claimFull-gorge when the killer has eaten; and none may refuse him the same.Lair-Right is the right of the Mother. From all of her year she may claimOne haunch of each kill for her litter, and none may deny her the same.Cave-Right is the right of the Fatherto hunt by himself for his own.He is freed of all calls to the Pack; he is judged by the Council alone.Because of his age and his cunning, because of his gripe and his paw,In all that the Law leaveth open, the word of the Head Wolf is Law.Now these are the Laws of the Jungle, and many and mighty are they;But the head and the hoof of the Law and the haunch and the hump isObey!Question 1Part AWhat is a theme in the poem "Law of the Jungle"?Responsesthe joys of amusementthe joys of amusementthe struggle for survivalthe struggle for survivalthe beauty of kindnessthe beauty of kindnessthe desire for peacethe desire for peaceQuestion 2Part B - Points depend on a correct response in Part A.Which evidence from the poem best supports the answer in Part A?Responses"But the head and the hoof of the Law and the haunch and the hump isObey!""But the head and the hoof of the Law and the haunch and the hump isObey!""Keep peace with the Lords of the Jungle, the Tiger, the Panther, the Bear" In the statement, a property of real numbers has been incorrectly applied.Correct the right side of the statement.3(x + 8) = 3x + 8 He tax rate a a percent, r, charged on an item can be determined uing the formula StartFraction c Over p EndFraction minu 1 equal r. 1 = r, where c i the final cot of the item and p i the price of the item before tax. 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