Monochromatic light from a distant source is incident on a slit 0.750 mm wide. On a screen 2.00m away, the distance from the central maximum of the diffraction pattern to the first minimum is measured to be 1.35mm
Calculate the wavelength of the light (answer in nm)

Answers

Answer 1

The wavelength of the light if a monochromatic light from a distant source is incident on a slit 0.750 mm wide. On a screen 2.00m away, the distance from the central maximum of the diffraction pattern to the first minimum is measured to be 1.35mm is 506.25 nm

When a wave is bent by an obstruction whose dimensions are close to the wavelength, diffraction is noticed. We can disregard the effects of extremes because the Fraunhofer diffraction is the simplest scenario and the impediment is a long, narrow slit.

This is a simple situation where the Fraunhofer single slit diffraction equation can be applied:

y = mλ D

        α

where,

y = displacement from the centerline for minimum intensity = 1.35 mm

m =  order number = 1

λ  =  light wave length

α =  witdh of the slit = 0.750 mm

D = distance between the screen and the slit = 2m

so  

λ = yα

     mD

λ = (1.35 x 10⁻³)( 0.750 x 10⁻³) = 5.0625 x 10⁻⁷m = 506.25 nm

                     1x2

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Related Questions

Which change to this process would shift the equilibrium to produce the maximum possible amount of H20?
2H2 + 02 = 2H20 + energy
•A. Increasing the temperature
• B. Removing the Oz as it forms
•C. Decreasing the pressure
• D. Removing the H20 as it forms

Which change to this process would shift the equilibrium to produce the maximum possible amount of H20?

Answers

Removing the H₂0 as it forms would shift the equilibrium to produce the most H₂0 possible. This is due to the reaction producing more water to replace the water that has been removed.

In chemistry, equilibrium refers to a state where the rate of the forward reaction is equal to the rate of the reverse reaction, resulting in no net change in the concentrations of the reactants and products. Equilibrium is an important concept in many chemical reactions, including acid-base reactions, redox reactions, and complex formation reactions.

Le Chatelier's principle can be used to predict how changes in conditions such as temperature, pressure, and concentration can affect the position of the equilibrium. For example, increasing the concentration of a reactant will shift the equilibrium towards the products, while decreasing the concentration of a reactant will shift the equilibrium towards the reactants.

In some cases, equilibrium can be used to achieve a desired product concentration. For example, the Haber process is used to produce ammonia by reacting nitrogen and hydrogen gases at high pressure and temperature. By controlling the reaction conditions, the equilibrium can be shifted to produce a high yield of ammonia.

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How does understanding what occurs at the various tectonic plate boundaries support our understanding of the past and current movement of rocks at earth's surface?

Answers

Answer:

Understanding what occurs at the various tectonic plate boundaries supports our understanding of the past and current movement of rocks at Earth's surface because the movement of the plates is responsible for shaping the planet's surface features, such as mountain ranges, ocean basins, and volcanoes. Different types of plate boundaries produce different geological features and events. For example, convergent plate boundaries, where two plates move towards each other, result in subduction zones, where one plate is forced beneath another, and can cause volcanic activity and earthquakes. Divergent plate boundaries, where two plates move away from each other, can cause seafloor spreading, mid-ocean ridges, and rift valleys. Transform plate boundaries, where two plates move past each other, can cause earthquakes. By studying the processes and features associated with these plate boundaries, scientists can gain insight into how the Earth's surface has changed over time and how it continues to change today.

Explanation:

A first order reaction is 40% completed in 30 minutes. what fraction of reactant remains at 40 minute?​

Answers

Answer:

Explanation:

ln(A) = ln(A₀) - kt

In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary

Answers

In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.

This graph shows how the concentration of a reactant changed during a
chemical reaction. Which sentence best describes how the concentration of
the reactant changed?

This graph shows how the concentration of a reactant changed during achemical reaction. Which sentence

Answers

Answer: B

Explanation: A P E X

The sentence best describes how the concentration of the reactant changed is it decreased gradually as the reaction progressed.

The correct option is B.

What is chemical reaction?

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

This graph shows how the concentration of a reactant changed during a chemical reaction.

The sentence best describes how the concentration of the reactant changed is it decreased gradually  as the reaction progressed.

Thus, the correct option is B.

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a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction​

Answers

The temperature gradient in the flow of direction is 294525 W.

What is Temperature gradient?

A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.

Q= T/( L/ KA)

Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)

   = 294525 W

Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.

Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.

Therefore, The temperature gradient in the flow of direction is 294525 W.

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name three types of variables in an experiment.

Answers

These changing quantities are called variables. A variable is any factor, trait, or condition that can exist in differing amounts or types. An experiment usually has three kinds of variables: independent, dependent, and controlled.

Answer:

There are three main variables: independent variable, dependent variable and controlled variables. Example: a car going down different surfaces

Explanation: pls mark my answer as brainlist

For a mass - spring system that undergoes a simple harmonic motion with amplitude A , determine the position x at which the kinetic energy is equal to 3 times the potential energy ( KE = 3 PE ) .

For a mass - spring system that undergoes a simple harmonic motion with amplitude A , determine the position

Answers

The elastic potential energy of a spring is given by:

\(PE=\frac{1}{2}kx^2\)

Where:

\(\begin{gathered} PE=\text{ potential energy} \\ k=\text{ spring constant} \\ x=\text{ distance of the spring is compressed} \end{gathered}\)

Now, the total energy of the spring is given when the value of "x" is equal to the amplitude "A":

\(E_{tot}=\frac{1}{2}kA^2\)

The total energy is converted into kinetic energy and elastic energy, therefore, we have:

\(\frac{1}{2}kA^2=\frac{1}{2}kx^2+\frac{1}{2}mv^2\)

Since the kinetic energy is twice the potential energy we have:

\(\frac{1}{2}mv^2=2(\frac{1}{2}kx^2)=kx^2\)

Now, we substitute the values in the equation:

\(\frac{1}{2}kA^2=\frac{1}{2}kx^2+kx^2\)

Now, we can cancel out the spring constant "k":

\(\frac{1}{2}A^2=\frac{1}{2}x^2+x^2\)

Now, we add like terms in the right side:

\(\frac{1}{2}A^2=\frac{3}{2}x^2\)

Now, we multiply both sides by 2:

\(A^2=3x^2\)

Now, we divide both sides by 3:

\(\frac{A^2}{3}=x^2\)

Now, we take the square root to both sides:

\(\sqrt{\frac{A^2}{3}}=x\)

Solving the operations:

\(\pm0.5A=x\)

Therefore, the distance is 0.5A.

Plane-polarized light is incident on a single polarizing disk, withthe direction of E0 parallel to thedirection of the transmission axis. Through what angle should thedisk be rotated so that the intensity in the transmitted beam isreduced by a factor of each of the following?
(a) 2.20
(b) 5.20
(c) 12.0

Answers

Answer;

Cos²စ= I/Io

So

A. Cos²စ = 1/2.2

Cosစ= √1/2.2

စ = cos^-1 0.68

= 47.2°

B.

Cosစ = √1/5.2

စ = ,cos^-1 0.4385

= 64°

C.

Cosစ = √1/12

စ = cos^-1 0.2886

= 73.2°

soulve the plane polare eqestion in circular

soulve the plane polare eqestion in circular

Answers

Answer:

Explanation:

u

A ray in glass is incident onto a water-glass interface. The angle of incidence equals 0.75 times the critical angle for that interface. The index of refraction for water is 1.33 and for glass is 1.78. What is the angle that the refracted ray in the water makes with the normal?
52 degrees
42 degrees
48 degrees
63 degrees

Answers

42 is the right oneeee!!!!!!!

PLEASE HELP! BRAINLIEST! The three main areas of science each contribute to forensic science in unique ways. Using your own words, write a paragraph (five or more sentences) to describe how biological sciences, chemical sciences, and physical sciences can contribute to the analysis of a crime scene. Please provide specific examples for each. Proper grammar, spelling, and sentence structure are expected.

Answers

Explanation:

Explanation:Those interested in working with trace evidence, such as glass, hairs, and gunshot residue, should focus on instrumentation skills and take courses in geology, soil chemistry, and materials science. If forensic biology, such as DNA analysis, is preferred, take microbiology, genetics, and biochemistry courses. Those interested in the toxicological aspects of this work, such as obtaining and interpreting toxicology reports, should study physiology, biochemistry, and chemistry.

if a certain car, going with speed v1, rounds a level curve with a radius r1, it is just on the verge of skidding. if its speed is now doubled, the radius of the tightest curve on the same road that it can round without skidding is:

Answers

Answer:

The correct answer is 4R1

Explanation:

According to the given scenario ,the radius of the tightest curve on the same road without skidding is as follows:

As we know that

Centeripetal Acceleration is

= v^2 ÷ r

In the case when velocity becomes 2 times so the r would be 4 times

So, the radius of the  tightest curve on the same road without skidding is 4R1

HELP I NEED IT NOW PLEASE

HELP I NEED IT NOW PLEASE

Answers

The answer is C.
Please make me as brainliest.

If a cube that has a length, height, and width of 4 cm is broken down into 8 cubes of equal size, what is the surface area of the 8 new cubes?

Answers

Answer: When a cube is divided into smaller cubes of equal size, the length, height, and width of each new cube are one-third of the original cube.

So each new cube will have a length, height, and width of 4/3 cm.

To calculate the surface area of each new cube, we need to find the area of each face and then add them up. Each cube has six faces, so we can calculate the surface area of one cube by multiplying the area of one face by six.

The area of one face of the new cube is (4/3)*(4/3) = 16/9 cm².

So the surface area of one new cube is 6*(16/9) = 96/9 cm² = 10.67 cm² (rounded to two decimal places).

Since we have 8 new cubes, the total surface area is 8 times the surface area of one new cube:

Total surface area = 8 * 10.67 cm² = 85.33 cm² (rounded to two decimal places).

Therefore, the surface area of the 8 new cubes is 85.33 cm².

A rock, a book and a can of soda all have the same mass. Which of the following best describes their relationship?

A. They are all the same size
B. They each contain the same amount of matter.
C. They are each made of the same element.
D. They each occupy the same amount of space.

Answers

Answer:

Explanation:

d

A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.

Hence, the correct option is D.

Since the rock, book, and can of soda all have the same mass, it means that they contain the same amount of matter, regardless of their size or the material they are made of.

Mass is a measure of the amount of matter in an object, so if their masses are equal, it implies that the quantity of matter is the same in each of them.

The size, shape, and material composition can be different for each object, but their masses remain the same in this scenario.

Hence, A rock, a book and a can of soda all have the same mass. They each contain the same amount of matter.

Hence, the correct option is D.

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A 21 KG chair initially at rest on a horizontal floor requires a 167 N horizontal force to set it in motion once the chair is in motion a 132 N horizontal force keeps it moving at a
constant velocity.
The acceleration of gravity is 9.81 m/s².
a) What is the coefficient of static friction
between the chair and the floor?
b) what is the coefficient of kinetic friction between the chair and the floor?

Answers

The chair and floor have a static friction coefficient of 7.9523 and a kinetic friction coefficient of 0.8114, respectively.

What causes static friction?

The braking force of an item is static friction. The resistance humans encounter when attempting to move something fastened to the ground without actually moving thier own bodies or the surface that are sitting on is described as static friction.

What causes static friction to form?

Adhesion, a slight chemical attraction between contact objects, is what causes static friction. Friction is also produced by the interaction of the flaws on each surface.

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Describe the differences between a HALL effect sensor and a permanent magnet sensor. Which one is more accurate?

Answers

The difference is that Hall effect sensor detects the strength of a magnetic field perpendicular to it, while a permanent magnetic sensor detects the angle of a parallel magnetic field.

The permanent magnetic sensor tends to be more accurate as it has a bigger detectable area that has detects layout error.

What is a magnet?

A magnet is any material that produces a magnetic field. A magnet has north and south poles at opposite ends.

The difference between a hall effect magnet and a permanent magnet sensor is that hall effect detects  magnetics fields perpendicular to it while a permanent magnet detects magnetic fields parallel to it.

In conclusion, the permanent magnet is more accurate as it has a wider detectable area.

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Which of the following properties allows sound to travel around objects,
around comners, or from one room to the next?
O A. Diffraction
O B. Interference
O c. Refraction
O D. Reflection

Answers

Answer:

Diffraction is correct :)

Explanation:

Diffraction of sound waves is commonly observed; we notice sound diffracting around corners or through door openings, allowing us to hear others who are speaking to us from adjacent rooms.


In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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A hockey puck initially travelling to the right at 34 m/s. It moves for 7 before
coming to a stop. How far did it move in 7 seconds?
You can use kinematic equations

Answers

Answer:

\(x=119m\)

Explanation:

Hello,

In this case, since the hockey puck was moving at 34 m/s and suddenly stopped (final velocity is zero) in 7 seconds, we can first compute the acceleration via:

\(a=\frac{v_f-v_o}{t}=\frac{0m/s-34m/s}{7s}\\ \\a=-4.86m/s^2\)

In such a way, we can compute the displacement via:

\(x=\frac{v_f^2-v_o^2}{2a}\\ \\x=\frac{0^2-(34m/s)^2}{2*-4.86m/s^2}\\ \\x=119m\)

Best regards.

a car and its passengers have a mass of 1200kg it is travelling at 12m/s.
Calculate the increase in kinetic energy when the car increases its speed to 18 m/s.

Show clearly how you work out your answer and give the unit.

Answers

Answer:

The increase of kinetic energy is 108,000 J

Explanation:

Kinetic Energy

Is the energy an object has due to its state of motion. It's proportional to the square of the speed and the mass.

The equation for the kinetic energy is:

\(\displaystyle K=\frac{1}{2}mv^2\)

Where:

m = mass of the object

v = speed at which the object moves

The kinetic energy is expressed in Joules (J)

A car has a total mass of m=1,200 kg and travels at v1=12 m/s. Then it increases its speed at v2=18 m/s.

It's required to compute the increase of kinetic energy. We'll calculate both energies K1 and K2 and then subtract them.

\(\displaystyle K_1=\frac{1}{2}1,200*12^2=86,400\ J\)

\(\displaystyle K_2=\frac{1}{2}1,200*18^2=194,400\ J\)

The increase of kinetic energy is:

\(\Delta K=K_2-K_1 =194,400\ J-86,400\ J\)

\(\Delta K=108,000\ J\)

The increase of kinetic energy is 108,000 J

HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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A scale reads 184 N when a piece of copper is hanging from it. What does it read (in N) when it is lowered so that the copper is submerged in water?

Answers

Answer:

  163 N

Explanation:

The density of copper is about 8.96. The ratio of the weight in water to the weight in air is about 1-1/ρ, so is about 0.8884.

  0.8884 × 184 N ≈ 163 N

The submerged weight is about 163 N.

Question 2 of 10
According to the law of conservation of energy, which statement must be
true?
OA. The total energy of a system can increase only if energy enters the
system.
OB. Energy that is transferred cannot be transformed into a different
type of energy.
OC. A system cannot take in additional matter.
OD. The total energy in a system can only decrease over time.
SUBMIT

Answers

The total energy of a system can increase only if energy enters the

system.

option A.

What is the law of conservation of energy?

The law of conservation of energy states that in a chemical reaction or an isolated system, the energy of the system is neither created nor destroyed but can be converted from one form to another.

The statements that are not true about  the law of conservation of energy are;

Energy that is transferred cannot be transformed into a differenttype of energy.A system cannot take in additional matter.The total energy in a system can only decrease over time.

Thus, the only true statement is;

The total energy of a system can increase only if energy enters the

system.

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You are working in the finance department of Innotech Ltd (INT). The Company has spent $5 million
in research and development over the past 12 months developing cutting-edge battery technology
which will be incorporated into the electric vehicle market. INT now need to choose between the
following three options for bringing the product to market. These options are:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Option 3: Sell the patent rights outright to the company mentioned in option 2
Your task
Your manager, INT’s CFO, Mr Barry Smith, has asked you to evaluate the three different options and
draft a memo to the Board of Directors providing recommendations on the alternatives, along with
supporting analyses.
Mr Smith has outlined the following three (3) areas you need to cover in your memo:
a) Analyse base case figures for the three options and using NPV as the investment decision
rule;
b) Provide recommendations based on the base-case analyses;
c) Provide recommendations on further analyses and discuss factors that should be considered
prior to making a final decision on the three options (Note. You do NOT have to undertake
any further financial analyses).
Further details for the various options are as follows:
Option 1: Manufacturing the product “in-house” and selling directly to the market
Three months ago, INT paid an external consultant $1.5 million for a production plan and demand
analysis. The consultant recommended producing and selling the product for five years only as
technological innovation will likely render the market too competitive to be profitable enough after
that time. Sales of the product are estimated as follows:
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
Year Estimated sales volume
(units)
1 5,200
2 4,600
3 4,200
4 3,800
5 3,600
In the first year, it is estimated that the product will be sold for $45,000 per unit. However, the price
will drop in the following three years to $40,000 per unit and fall again to $36,000 per unit in the
final year of the project, reflecting the effects of anticipated competition and improving technology
in the market. Variable production costs are estimated to be $29,000 per unit for the entire life of the
project.
Fixed production costs (excluding depreciation) are predicted to be $3 million per year and marketing
costs will be $1.6 million per year.
Production will take place in factory space the company owns and currently rents to another business for $2.5 million per year. Equipment costing $87 million will have to be purchased. This
equipment will be depreciated for tax purposes using the prime cost method at a rate of 10% per
annum. At the end of the project, the company expects to be able to sell the equipment for $37
million.
Investment in net working capital will also be required. It is estimated that accounts receivable will
be 30% of sales, while inventory and accounts payable will each be 25% of variable and fixed
production costs (excluding depreciation). This investment is required from the beginning of the
project because credit sales, inventory stocks and purchases on trade credit will begin building up
immediately. All accounts receivable will be collected, suppliers paid and inventories sold by the end
of the project, thus the investment in net working capital will be returned at that point. (Refer to
spreadsheet example provided in Assessment Details).
Option 2: Licensing another company to manufacture and sell the product in return for a royalty
Lion Batteries Ltd (LIB), a multinational corporation, has expressed an interest in manufacturing and
marketing the pro

Answers

Answer: The Company has spent $5 million in research and development over the past 12 months developing cutting-edge battery technology which will be incorporated ...

Explanation: uhmmmmmm i dont know this one but it is pretty ez

You throw a ball off of a cliff at t = 0. Its motion is described by this position vector r = 40mj^ + (10m/s)ti^ - (4.9m/s^2)t^2j^ . How far from the bottom of the cliff will it hit water?

Answers

Therefore, the ball hits the water 30.1 meters from the bottom of the cliff.

What is vector?

A vector is a mathematical object that has both magnitude (size) and direction. It can be used to represent physical quantities that have both a numerical value and a direction, such as velocity, force, or acceleration. A vector can be represented graphically as an arrow, with its length representing its magnitude and its direction indicating its direction. The tail of the arrow represents the starting point of the vector, while the head represents the endpoint. In addition to their graphical representation, vectors can also be described algebraically using components.

Here,

To find the distance from the bottom of the cliff where the ball hits the water, we need to find the time it takes for the ball to hit the water and then use this time to find the vertical displacement of the ball at that time.

First, we can find the time it takes for the ball to hit the water by setting the y-coordinate of its position vector equal to zero (since the water is at ground level):

-4.9t² + 40 = 0

Solving for t, we get:

t = √(40/4.9) = 2.03 seconds

So the ball hits the water after 2.03 seconds.

Next, we can use this time to find the vertical displacement of the ball at that time by plugging in t = 2.03 seconds into the y-component of its position vector:

r_y = -4.9(2.03)² + 40 = 30.1 meters

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a proton travelling along is x-axis is lowed by a niform electric field E. at x = 20.0 cm, the proton has a speed of 3.5x10^6 m/s and at 80.0 cm the speed is zero. Determine the magnitude and direction of e,

Answers

Answer:

Magnitude of electric field is 1.06 x \(10^5\) V/m along negative X-direction

Explanation:

Given: initial velocity of proton = u = 3.5 x \(10^6\) m/s

final velocity of proton = v = 0 m/s

initial point \(l_i\) = 0.2 m and final point is \(l_f\) = 0.8 m

According to conservation of energy:

change in in kinetic energy = change in potential energy of proton

⇒\(\frac{m}{2}(v^2-u^2 ) = qE(l_i - l_f)\)

where q and m is the charge and mass of proton E is the electric field , \(l_i\) and \(l_f\) is the initial and final position of proton

on substituting the respected values we get,

1.023 x \(10^-^1^4\) = 9.6 x \(10^-^2^0\) x E

E = 1.06 x \(10^5\) V/m

external force is opposite to the motion as velocity of proton decreases with distance.

Therefore, magnitude of electric field is 1.06 x \(10^5\) V/m along negative X-direction

Part A
Find the water pressure at the bottom of the 54-m-high water tower in the following figure.
Express your answer to two significant figures and include the appropriate units.
Incorrect; Try Again; 5 attempts remaining
Enter your answer with a different unit type. Review a list of acceptable units.

Part AFind the water pressure at the bottom of the 54-m-high water tower in the following figure.Express

Answers

The water pressure at the bottom of the 54-m-high water tower is

0.53 M Pa0.53 M N/m²

How to calculate the pressure of water

pressure of water at a certain depth is calculated using the formula

Pressure, P = height * density * acceleration due to gravity

density of water is given by = 1000 kg/m³

acceleration due to gravity is given by = 9.82 m/s²

the given height, at the bottom of the 54-m-high water tower  = 54 m

Pressure = 1000 kg/m³ *  9.82 m/s² * 54 m

Pressure = 530280 N/m²

Pressure = 0.53 M N/m²

Pressure = 0.53 M Pa

The pressure at the bottom of the 54-m-high water tower is 0.53 MPa

The unit of pressure used here is Pa which is equal to N/m² other unit include pound - force foot

1 N/m² = 0.73756 pound-force foot

530280 N/m² = 530280 * 0.73756 = 391113.32 pound-force foot

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if a bus drives 2km due east,5km 45 degrees north of east, 4km at 30 degrees north of west, then 2km due south. what is the bus's resultant displacement?

Answers

The bus resultant displacement is approximately 4.14 km at an angle of 59.5 degrees north of east.

The first movement is 2 km due east, which means it has an x-component of 2 km and a y-component of 0 km.

The second movement is 5 km at 45 degrees north of east. This can be broken down into x and y components using trigonometry: x = 5 km * cos(45) = 3.54 km y = 5 km * sin(45) = 3.54 km

The third movement is 4 km at 30 degrees north of west. This can also be broken down into x and y components using trigonometry: x = -4 km * cos(30) = -3.46 km (negative because it’s towards the west) y = 4 km * sin(30) = 2 km

The fourth movement is 2 km due south, which means it has an x-component of 0 km and a y-component of -2 km.

Adding up all the x and y components, we get: x_total = 2 + 3.54 + (-3.46) + 0 = 2.08 km y_total = 0 + 3.54 + 2 + (-2) = 3.54 km

The magnitude of the resultant displacement can be calculated using the Pythagorean theorem: resultant_displacement = sqrt(x_total^2 + y_total^2) = sqrt(2.08^2 + 3.54^2) ≈ 4.14 km

The direction of the resultant displacement can be calculated using the arctan function: direction = arctan(y_total / x_total) ≈ 59.5 degrees north of east

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