a diffraction grating diffracts red light such that bright fringes on a screen (where constructive interference occurs), other than the central maximum, will occur at an angle
none of these less than the angle for blue light independent of wavelength 0 independent of frequency greater than the angle for blue light

Answers

Answer 1

A diffraction grating diffracts red light such that bright fringes on a screen (where constructive interference occurs), other than the central maximum, will occur at an angle greater than the angle for blue light.

What is a diffraction grating?

A diffraction grating is an optical component that can separate (disperse) light into its spectral colors. It's analogous to a prism, but it's a lot more versatile and compact.

What is grating?A

grating is a surface that has regular or near-regular patterns that interfere with light's passage. These grooves, slits, or holes break up an incoming beam of light or other electromagnetic radiation into a spectrum of constituent wave trains and divert them at various angle. Gravitational diffraction grating's angle formedd and blue light angle for red light is greater than that fort blue light on a diffraction grating. The smaller the wavelength of light, the bigger the angle between the interference maxima is. As a result,when red light is diffracted, the angle between the interference maxima is greater than it is for blue light. Thus, a diffraction grating diffracts red light such that bright fringes on a screen (where constructive interference occurs), other than the central maximum, will occur at an angle greater than the angle for blue light.

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Answer 2

Other than the central maximum, the bright fringes on a screen where constructive interference occurs due to diffraction grating will occur at an angle

This is because the angle of diffraction is directly proportional to the wavelength of light, and since red light has a longer wavelength than blue light, it will diffract at a larger angle.

The angle of diffraction is also independent of frequency and is determined solely by the spacing of the grating lines.
A diffraction grating diffracts red light such that bright fringes on a screen (where constructive interference occurs) will occur at an angle greatergreater than the angle for blue light.

This is because red light has a longer wavelength compared to blue light, and the angle of diffraction is directly proportional to the wavelength.

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Related Questions

A ball is attached to the end of a string. It is swung in a vertical circle of radius 2.5 m. What is the minimum velocity that the ball must have to make it around the circle?

Answers

i don't Know

Explanation:

learn from yourself.

A projectile is launched with an initial velocity 60m/s at an angle 60° to the vertical. What the magnitude of it's displacement after 5s.

Answers

Answer:

the magnitude of the displacement after 5s is 137.31 m.

Explanation:

Given;

initial velocity of the projectile, u = 60 m/s

angle of projection, θ = 60°

time of motion, t = 5s

the vertical component of the velocity, \(u_y= u\ sin \theta = 60sin(60^0)\)

The magnitude of the displacement after 5s is calculated as;

\(h = u_yt -\frac{1}{2} gt^2\\\\h = 60sin (60^0)\times 5 - \frac{1}{2} (9.8)(5)^2\\\\h = 259.81-122.5\\\\h = 137.31 \ m\)

Therefore, the magnitude of the displacement after 5s is 137.31 m.

How much force does a soccer goalie
experience when stopping a ball with the
mass of 0.2 kg that accelerates at the rate
of 10 meters per second^2?

Answers

Answer:

2 N

Explanation:

From the question, it's given that

Mass m = 0.2 kg

Acceleration a = 10 m/s^2

The force a soccer goalie experience when stopping a ball will be equal to the force at which the ball is being kicked. This is

F = ma

Substitute all the parameters into the formula

F = 0.2 × 10

F = 2 Newton.

The sound of frequency greater than 20,000 Hz is called ....

20,000 112 से अधिक आवृति की ध्वनि
कहा जाता है।
Positive electrode is called
घनात्मक इलेक्ट्रोड को
कहते हैं।
d.​

Answers

Answer:

ultra sound... follow me

30 . What is the intensity of an electromagnetic wave with a peak electric field strength of 125 V/m

Answers

The intensity of the electromagnetic wave is approximately 1.10 x \(10^{-3}\)W/\(m^2\).

The intensity of an electromagnetic wave is proportional to the square of the amplitude of the electric field. Therefore, to calculate the intensity, we need to square the peak electric field strength and divide by the impedance of free space, which is approximately 377 ohms.

The intensity of an electromagnetic wave can be calculated using the formula:

I = (1/2) * ε * c *\(E^2\)

where:

ε = the permittivity of free space (8.85 x \(10^{-12}\) F/m)

c = the speed of light in a vacuum (3 x \(10^8\)m/s)

E = the peak electric field strength

Plugging in the given values, we get:

I = (1/2) * 8.85 x \(10^{-12}\) * 3 x \(10^8\) * \((125)^2\)

I ≈ 1.10 x \(10^{-3}\)W/\(m^2\)

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In the canopies of tropical forests, plants are able to survive despite the high temperatures and high levels of solar radiation due to the process of?

Answers

In the canopies of tropical forests, plants are able to survive despite the high temperatures and high levels of solar radiation due to the process of Transpiration.

Most of the water absorbed by roots of water is not used for growth of plant but to maintain a moisturized environment. For this purpose water is evaporated as vapour from stoma on the underside of leaves.

This process is called transpiration. Transpiration is the evaporation of water from plants. This cools down plants under hot conditions. This process also pulls water from stems and roots to leaves to hydrate mesophyll cells.

Therefore, In the canopies of tropical forests, plants are able to survive despite the high temperatures and high levels of solar radiation due to the process of Transpiration.

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What moon phase would happen immediately before the shown phase?

Waning Crescent

Waxing Gibbous

Full Moon

New Moon

Answers

Answer:

waning crescent

Explanation:

Waxing Crescent - Rises before noon, transits meridian before sunset, sets before midnight

Answer:

new moon

Explanation:

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can i get the brainliest? or not ok T-T im always alone i know and nobody doesnt like me so yes u are right im always alone for forever

and nobody doesnt wanna chat with me ok i got it bcoz thats all my bad im a bad person :(

In general, ionic bonds form between a metal and a nonmetal. Covalent bonds usually form between two nonmetals. Which of the following pairs of atoms is most likely to form a covalent bond?

A. magnesium and chlorine
B. copper and bromine
C. nitrogen and oxygen
D. potassium and phosphorus

Answers

Answer:

C

Explanation:

Nitrogen and Oxygen donates electron to each other

Nitrogen and oxygen has the greatest chance of forming a covalent bond. Option C is correct.

What is a covalent bond?

Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.

Compounds can be polar covalent or nonpolar covalent, depending on the electronegativity variations between components.

The nitrogen family, Group 15, can react with oxygen in a variety of ways. Nonmetallic elements include nitrogen and phosphorus and oxygen.

Ionic bonds often occur between a metal and a nonmetal. Covalent bonds are most commonly formed between two nonmetals.

Nitrogen and oxygen has the greatest chance of forming a covalent bond from given a pair of atoms.

Hence,option C is correct.a given

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What must happen for salt and water to form a solution?
O A. The salt and the water must combine to form a new substance.
B. The salt and the water must combine chemically.
C. The water must displace the salt.
O D. The salt must dissolve in the water.

Answers

The answer would be D

3) An earth moving machine uses diesel oil, which when burnt will produce 3.0x10 9 J of energy. The work performed by the machine is 2.7x 10 8 J. What is the efficiency of the machine?

Answers

Answer:

The answer is below

Explanation:

The efficiency of a machine is the ratio of its output to its input. The efficiency shows how effective the machine by the way it converts the input energy into work. The higher the efficiency of the machine the more effective it is. The efficiency is usually less than 1.

Given that the machine uses diesel oil (input) that can produce 3.0 x 10⁹ J of energy while the work performed by the machine (output) is 2.7 x 10⁸ J. The efficiency is given as:

Efficiency = output / input = 2.7 x 10⁸ J / 3.0 x 10⁹ J = 0.09 = 9%

This means that the machine is not effective because of its low efficiency

iridescent colors seen in the pearly luster of an abalone shell are due to

Answers

The iridescent colors seen in the pearly luster of an abalone shell are due to a phenomenon called structural coloration.

Structural coloration is different from pigmentation, where color is produced by the absorption and reflection of specific wavelengths of light by pigments. Instead, structural coloration arises from the interaction of light with the microscopic structures present in the material.

In the case of the abalone shell, the iridescent colors are produced by the way light interacts with the layers of microscopic calcium carbonate plates in the shell. These plates are stacked in a specific arrangement, which causes interference and scattering of light.

When light hits the surface of the shell, it encounters these layers and undergoes constructive and destructive interference. This interference leads to the amplification and suppression of certain wavelengths of light, resulting in the perception of different colors.

The precise arrangement and spacing of the calcium carbonate plates in the abalone shell determine the specific colors observed. The iridescence can vary depending on the angle of observation and the thickness and arrangement of the layers.

Therefore, the iridescent colors seen in the pearly luster of an abalone shell are a result of structural coloration caused by the interaction of light with the microscopic structures present in the shell.

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A stone is propelled vertically off the ground. After it is released, which of the following are true? It’s total mechanical energy increases It’s total energy is proportional to its distance off the ground It’s kinetic energy decreases It’s gravitational energy increases

Answers

When a stone is propelled vertically off the ground its kinetic energy decreases and gravitational potential energy increases.

When an object is propelled upwards at first it have the highest kinetic energy. The total energy will be equal to kinetic energy and potential energy will be 0. When it reaches midway through the air, the kinetic energy gradually decreases and potential energy increases, because some of the kinetic energy is converted to gravitational potential energy.

When the object reaches the maximum height, the Kinetic energy will become 0, and object stops moving forward. Here all the kinetic energy i converted to gravitational potential energy. Potential energy will be maximum at this point. After this the object begins to fall attaining some kinetic energy.

So when an object is thrown vertically upwards, the kinetic energy decreases and gravitational energy increases. The total energy will remain constant throughout.

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What would you expect to happen to the acceleration if all friction were removed from the ramp, making the net force even higher than 600 N?

Answers

The acceleration would drastically increase making it harder to stop

solved the question belowCalculate the force of attraction between a cation with a valence of +3 and an anion with a valence of -2, the centers of which are separated by a distance of 2.8 nm.
F= _____Calculate the force of attraction between a cation( eV , N , J , nm ) Choose One

Answers

the attraction between a +3 valence cation and a -2 valence anion, whose centres are separated by a distance of 2.8 nm. The attraction between two cations is 1.76×10⁻¹⁰ forces.

given,

number of cations,n₁=3

number of anions,n₂=2

center distance between cation and anion,r=2.8 nm=2.8×10⁻⁹m

write the equation force of attraction:

\(F=\dfrac{kq_1q_2}{r^2}.\)..............(1)

Here,K is coulombs constant ,K=9×10⁹ Nm²/C²,q =n×e ,e is electronic charge,e=1.60×10⁻¹⁹ coulombs. the attraction between a +3 valence cation.

calculate the value of cation charge q₁

q₁=n₁×e

q₁=3×1.60×10⁻¹⁹

calculate the value of cation charge q₂

q₂=n₂×e

q₂=2×1.60×10⁻¹⁹

substitute the values in equation 1

\(F=\frac{(9*10^{9})*(3*1.602*10^{-19}) *(2*1.602*10^{-19} )}{(2.8*10^{-9})^{2} }\)

F=1.76×10⁻¹⁰

The force of attraction between cation is 1.76×10⁻¹⁰.

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How to find the length of an array in PHP?

Answers

To find the length of an array in PHP, you can use the count() function.

The count() function returns the number of elements in an array.

Here's an example:

$myArray = array("apple", "banana", "orange", "grape");

$length = count($myArray);

echo "The length of the array is " . $length;

In this example, we first define an array called $myArray with four elements. Then we use the count() function to find the length of the array and assign the result to a variable called $length. Finally, we use the echo statement to display the length of the array.

The output of this code will be:

The length of the array is 4

Note that the count() function can also be used to find the number of elements in an object or a variable with a countable value.

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A cyclist travels at 15 m/s during a sprint finish. What is this speed in km/h

Answers

Answer:

54km/hr

Explanation:

Since we have to complete m/s to km/h.

we can simply divide the m/s by (5/18)

so we get 54km/hr

Can you list a activity that uses potential or kinetic energy that we do. It can be everyday or just something random And also give reason to why it’s this type of energy

Answers

we are asked to give an example of the use of kinetic and potential energy.

Kinetic energy is the energy that is related to the movement of an object and potential energy is the energy related to the change in height of an object.

Let's suppose that a person is going up a ramp. Due to the change in height, this means that potential energy is increasing and since there is a velocity involved this means that there is also kinetic energy being used.

Another example is an object falling. In this case, when the object is at the highest point its potential energy is maximum. When it starts falling the potential energy is transformed into kinetic energy as the velocity of the object increases. When the object reaches the ground its potential energy is a minimum and the kinetic energy is a maximum but the sum of the kinetic and potential energies remains the same throughout all the process.

how far would the moon be if its mass was doubled

Answers

Explanation:

If the moon doubled in mass, that means that the Earth will not experience a total solar eclipse like today. Also, if it doubled in mass, tide waves would increase in size, as the moon would be bigger and would have a bigger gravitational pull. Also, gravity would be different on earth because the moon is bigger (gravity law by mass). Also, the sky would be ‘smaller’ than our actual sky

Answer:

If the moon's mass doubles, the Earth will not witness a total solar eclipse as today. Also, if its mass doubled, tide waves would double in size since the moon would be bigger and have a stronger gravitational attraction. Also, because the moon is larger, gravity on Earth would be different (gravity law by mass). Also, the sky would be "smaller" than it is now.

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A car is moving with a lot of momentum. If it were moving at the same speed but had five times as much mass, its momentum would be

Answers

Answer:

5 times as much

Explanation:

the equation for momentum is p=mv

p(momentum)=m(mass)xv(velocity)

So if the velocity is the same, but the mass is multiplied by 5 the total momentum would be 5 times greater than the previous scenario.

How are sound waves different from the ripples that spread across water?​

Answers

Answer:

.

Explanation:

Sound waves are caused by vibration ripples in water are caused by disturbance in the molecules

Sound waves are longitudinal (the particles move in the same direction as the wave) as opposed to transversal waves (for example, in a sea wave, the water particles move up and down to form the wave). ... Water being incompressible is one of the reasons why sound waves move much faster in water than ripples.

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earth's magnetosphere is generated by question 12 options: 1) dynamo-like motions in earth's interior. 2) nuclear fusion in earth's core. 3) nuclear fission in earth's core. 4) gravitational accretion.

Answers

Earth's inner movements resemble dynamos and produce the magnetosphere. The magnetosphere of Earth is a dynamic, networked system that reacts to solar, planetary, and interstellar circumstances.

The area surrounding a planet where the magnetic field of the planet is dominant is called a magnetosphere. All of the rocky planets in our solar system have magnetospheres, but Earth's is the strongest. The enormous, comet-shaped bubble that makes up Earth's magnetosphere has been essential to the planet's capacity to support life. This magnetic environment has protected life on Earth from its inception and continues to do so. The magnetosphere protects our planet from solar and cosmic ray radiation as well as the solar wind's steady stream of charged particles that stream off the sun, which may erode the atmosphere.

Due to the convective motion of charged,

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Two charges lie on the x-axis, one at the origin and the other at 14.3m What is the potential (relative to infinity) due to these charges at a point at 7.1m measured from the origin on the x-axis?

Answers

Answer:

 V = 2.52 10³ V

Explanation:

The electric potential for a point charge is

       V = k ∑ \(\frac{q_i}{r_i}\)

In this case the formula is

       V = k (\(\frac{q_1}{r_1} + \frac{q_2}{r_2}\))

distances are the absolute value

       r₁ =√ (7.1 -0)² = 7.1 m

       r₁ =√ (7.1 - 14.3)² = 7.2 m

we substitute

       V = 9 10⁹ (q₁ / 7.1 + q₂ / 7.2)

we have two possibilities

* different charges

         V = 9 10⁹ (q₁ / 7.1 + q₂ / 7.2)

* equal charges and same sign

          q₁ = q₂ = q

         V = 9 10⁹ q (1 / 7.1 + 1 / 7.2) = p 9 10⁹   0.2797

         V = 2.52 10⁹ q

if we assume a value of the charge, for example q = 1 10⁻⁶ c

           V = 2.52 10⁹ 1 10⁻⁶

            V = 2.52 10³ V

what would be your best estimate for the normalized ground state wavefunction of the quartic oscillator?

Answers

The variational technique is one strategy to approximate the ground state with the lowest energy and some stimulated states in quantum mechanics.

What is variational method principle in quantum mechanics?This makes it possible to calculate approximations of wavefunctions, like molecular orbitals. The variational concept serves as the method foundation. The process entails selecting a "trial wavefunction" based on one or more parameters, then identifying these parameters values that result in the energy expectation value being as low as possible. By setting the parameters to these values, a wavefunction that approximates the ground state wavefunction is produced, and the energy in that state's expectation value serves as an upper bound on the ground state energy.

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Review the network activity times in months, determine the earliest start and finish times, latest start and finish times, and slack for each activity. Indicate the critical path and the project duration. Your deliverable should include a network diagram and a calculation of the critical path.

Answers

To determine the earliest start and finish times, latest start and finish times, and slack for each activity, we can utilize the network diagram and use forward and backward pass calculation. We can determine the critical path by identifying the longest path in the network diagram where there is no slack. The project duration is the length of the critical path.

Here is the network diagram for the given project: \(\small{\text{(Please see the attached image for the network diagram.)}}\)The calculations for the earliest start and finish times, latest start and finish times, and slack for each activity are shown below:|Activity Duration (Months)|Predecessor|ES|EF|LS|LF|Slack|
|---|---|---|---|---|---|---|---|
|A|2|-|0|2|0|2|0|
|B|3|-|0|3|2|5|2|
|C|5|A|2|7|2|7|0|
|D|4|B|3|7|5|9|2|
|E|3|B|3|6|5|8|2|
|F|6|C, E|7|13|7|13|0|
|G|5|D, F|9|14|13|18|4|The critical path is A-C-F-G, and its length is 13 months.

This means that any delay on these activities will delay the project completion date. Here is the calculation of the critical path: A (2) - C (5) - F (6) - G (5) = 13 months.

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A car advertisement states that a certain car can accelerate from rest to 70 km/s in 7 seconds. Find the car’s average acceleration.

Answers

Please find attached photograph for your answer. Please do comment whether it is helpful or not.

A car advertisement states that a certain car can accelerate from rest to 70 km/s in 7 seconds. Find

4 Generators are used to convert chemical energy into electrical energy. One company
that designs generators claims that their newest design can convert 1,000 joules of
chemical energy into 1,200 joules of electrical energy. What conclusion can you draw
about this company's design?
A No conclusion can be drawn without more information.
B It has a very good and realistic efficiency.
C It is impossible to convert chemical energy into electrical energy.
D It is impossible to create more energy than was input.



Answers

Answer:

fg

Explanation:

bbjtvnjj

Using the Left Hand Rule, if current points up and
the field is toward you, which way does the motion
point?

A. Left
B. Down
c. Up
D. Right

Answers

Using the left hand rule, if current points up and the field is toward you,  the  motion points up.

What is the left hand rule?

The left hand rule states that if the thumb, the fore finger and the middle finger are held mutually perpendicular to each other, the thumb points in the direction motion, the middle finger points in the direction of current while the fore finger points in the direction of the magnetic field.

Thus using the left hand rule, if current points up and the field is toward you,  the  motion points up.

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a conductor consists of a circular loop of radius r and two long, straight sections. the wire lies in the plane of the paper and carries a current i. a) what is the direction of the magnetic field at the center of the loop? b) find an expression for the magnitude of the magnetic field at the center of the loop. 4. a long, straight wire carries a current i. a right-angle bend is made in the middle of the wire. the bend forms an arc of a circle of radius r. determine the magnetic field at point p, the center of the arc. 5. two parallel wires are separated by 6.00 cm, each carrying 3.00 a of current in the same direction. a) what is the magnitude of the force per unit length between the wires? b) is the force attractive or repulsive? 6. two parallel wires separated by 4.00 cm repel each other with a force per unit length of 2.00x104 n/m. the current in one wire is 5.00 a. a) find the current in the other wire. b) are the currents in the same direction or in opposite directions? c) what would happen if the direction of one current were reversed and doubled?

Answers

1. The direction of the magnetic field at the center of the loop is perpendicular to the plane of the loop and follows the right-hand rule.

The right-hand rule states that if you curl the fingers of your right hand in the direction of the current flow in a loop, your thumb will point in the direction of the magnetic field at the center of the loop. The magnetic field lines are circular and perpendicular to the plane of the loop.

2. The expression for the magnitude of the magnetic field at the center of the arc can be calculated using the formula for the magnetic field due to a circular loop of wire. The expression is given by: B = (μ₀ * I) / (2 * r), where B is the magnetic field, μ₀ is the permeability of free space, I is the current in the loop, and r is the radius of the arc.

The magnetic field at the center of the arc formed by the right-angle bend in the wire can be calculated using the formula for the magnetic field due to a circular loop of wire. The magnetic field strength is directly proportional to the current in the loop (I) and inversely proportional to the radius of the arc (r). The permeability of free space (μ₀) is a constant value. By plugging in the values of current and radius, the expression for the magnitude of the magnetic field at the center of the arc can be determined.

3. The force per unit length between two parallel wires carrying current can be calculated using the formula: F/L = (μ₀ * I₁ * I₂) / (2 * π * d), where F/L is the force per unit length, μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, and d is the distance between the wires.

The force per unit length between two parallel wires carrying current can be calculated using the formula above. The force is directly proportional to the product of the currents in the wires (I₁ and I₂) and inversely proportional to the distance between the wires (d). The permeability of free space (μ₀) is a constant value.

4. The force between two parallel wires depends on the direction of the currents. If the currents are in the same direction, the force is repulsive, and if the currents are in opposite directions, the force is attractive.

The direction of the currents in the two parallel wires determines the direction of the magnetic fields around the wires. When the currents flow in the same direction, the magnetic fields around the wires interact and result in a repulsive force between the wires. When the currents flow in opposite directions, the magnetic fields interact differently and result in an attractive force between the wires.

5. To find the current in the other wire when two parallel wires separated by a distance carry a force per unit length, the formula can be rearranged to solve for the current in the second wire, I₂ = (F/L) * (2 * π * d) / (μ₀ * I₁), where I₂ is the current in the second wire, F/L is the force per unit length, d is the distance between the wires, μ₀ is the permeability of free space, and I₁ is the current in the first wire.

By rearranging the formula for the force per unit length between two parallel wires, the current in the second wire (I₂) can be calculated. The force per unit length (F/L), the distance between the wires (d), and the current in the first wire (I₁) are known quantities, and the permeability of free space (μ₀) is a constant value.

6. If the direction of one current in the two parallel

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17 A 6.50-meter-long copper wire at 20°C has a cross- sectional area of 3.0 millimeters². What is the resistance of the wire? (1) 3.7 x 10-80 (2) 3.73 x 10-80 (3) 3.7 x 10-²2 (4) 3.73 × 10-0 138 ​

Answers

The resistance of the wire is  3.8 × 10⁻² Ω.

option B.

What is the resistance of the wire?

The resistance of the wire is calculated as follows;

R = ρL/A

Where;

R is the resistanceρ is the resistivity of copperL is the length of the wireA is the cross-sectional area of the wire

The resistivity of copper at 20°C = 1.77 x 10⁻⁸ Ω·m.

The resistance of the wire is calculated as;

R = (1.77 x 10⁻⁸ Ω·m) x (6.50 m) / (3.0 x 10⁻⁶ m²)

R = 3.8 × 10⁻² Ω

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Through what total angle did the wheel turn between t= 0 and the time it stopped? At t = 0 a grinding wheel has an angular velocity of 22.0 rad/s. It has a constant angular acceleration of 27.0 rad/s2 until a circuit breaker trips at time t = 1.60 s. From then on, it turns through an angle 437 rad as it coasts to a stop at constant angular acceleration. Express your answer in radians. VO AXO ? 0 = rad Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Part B At what time did it stop? Express your answer in seconds. VO AEO ? t = S Submit Request Answer Part C What was its acceleration as it slowed down? Express your answer in radians per second squared. VALO ? a = rad/s2 Submit Request Answer

Answers

The acceleration of the wheel as it slows down is approximately -0.227 rad/s^2.

Part A: The total angle the wheel turned between t = 0 and the time it stopped can be calculated by summing the angles covered during different time intervals.

First, during the time interval from t = 0 to t = 1.60 s, we use the equation:

θ1 = ω0 * t + 0.5 * α * t^2,

where θ1 is the angle covered, ω0 is the initial angular velocity, α is the constant angular acceleration, and t is the time interval. Substituting the given values:

θ1 = (22.0 rad/s) * (1.60 s) + 0.5 * (27.0 rad/s^2) * (1.60 s)^2

θ1 ≈ 35.84 rad

During the coasting period, the wheel continues to turn with constant angular acceleration until it comes to a stop. The angle covered during this period, θ2, is given as 437 rad.

Therefore, the total angle covered is:

Total angle = θ1 + θ2

Total angle ≈ 35.84 rad + 437 rad

Total angle ≈ 472.84 rad

Part B: The wheel comes to a stop when its final angular velocity, ωf, becomes zero. To find the time it stopped, we can use the equation:

ωf = ω0 + α * t,

where ωf is the final angular velocity, ω0 is the initial angular velocity, α is the constant angular acceleration, and t is the time interval.

Substituting the given values:

0 = (22.0 rad/s) + (27.0 rad/s^2) * t_stop

Solving for t_stop:

t_stop = - (22.0 rad/s) / (27.0 rad/s^2)

t_stop ≈ -0.815 s

Since time cannot be negative, we disregard the negative sign and take the absolute value:

t_stop ≈ 0.815 s

Therefore, the wheel stopped at approximately 0.815 seconds.

Part C: The acceleration of the wheel as it slows down can be found using the equation:

ωf^2 = ω0^2 + 2αθ,

where ωf is the final angular velocity, ω0 is the initial angular velocity, α is the constant angular acceleration, and θ is the angle covered.

Since the final angular velocity is zero (ωf = 0), we have:

0 = ω0^2 + 2αθ

Solving for α:

α = - ω0^2 / (2θ)

Substituting the given values:

α = - (22.0 rad/s)^2 / (2 * 472.84 rad)

α ≈ - 0.227 rad/s^2

Therefore, the acceleration of the wheel as it slows down is approximately -0.227 rad/s^2.

To know more about angular velocity, refer here:

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