Using the following figure 1 given below a)calculate the work done against gravity b) the net work done c) the normal force b/n the box and the surface​

Using The Following Figure 1 Given Below A)calculate The Work Done Against Gravity B) The Net Work Done

Answers

Answer 1

a) The work done against gravity is 107.4J.

b) Net work done is 260.4J

c) he normal force b/n the box and the surface​ is 29.88N.

How to calculate Work done?

To calculate the work done against gravity, to find the vertical component of the force F, which is:

F_vertical = F × sin(37°) = 120N × sin(37°) = 72.57N

The work done against gravity is given by:

W_gravity = m × g × h

where m is the mass of the box, g is the acceleration due to gravity, and h is the height the surface is lifted. In this case, the surface is lifted vertically by a distance of:

h = S × sin(53°) = 2.7m × sin(53°) = 2.19m

So, the work done against gravity is:

W_gravity = m × g × h = 5kg × 9.81m/s² × 2.19m = 107.4J

To calculate the net work done, find the horizontal component of the force F, which is:

F_horizontal = F × cos(37°) = 120N × cos(37°) = 96.55N

The net work done is given by:

W_net = F_horizontal × S

W_net = 96.55N × 2.7m = 260.4J

To find the normal force between the box and the surface, resolve the forces acting on the vertical direction. The weight of the surface is:

W = m × g = 5kg × 9.81m/s² = 49.05N

The normal force is equal in magnitude and opposite in direction to the component of the weight perpendicular to the surface. So, the normal force is given by:

N = W × cos(53°) = 49.05N × cos(53°) = 29.88N

Therefore, the normal force between the box and the surface is 29.88N.

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Related Questions

a car with a mass of 2000 kg is traveling at 10 m / s. what is the braking force needed to bring the car to complete stop in 5 seconds?

Answers

In conclusion, the braking force needed to bring the car to a complete stop in 5 seconds is -4000 N.

To calculate the braking force needed to bring a car to a complete stop in 5 seconds, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.
Given that the car has a mass of 2000 kg and is traveling at 10 m/s, we need to find the acceleration first.
Acceleration is the change in velocity over time. In this case, the change in velocity is from 10 m/s to 0 m/s, and the time taken is 5 seconds.
So, the acceleration can be calculated as follows:
Acceleration = (Final Velocity - Initial Velocity) / Time
Acceleration = (0 m/s - 10 m/s) / 5 s
Acceleration = -10 m/s / 5 s
Acceleration = -2 m/s²
Since the car is decelerating, the acceleration is negative.
Now that we know the acceleration, we can calculate the braking force using Newton's second law.
Force = Mass x Acceleration
Force = 2000 kg x -2 m/s²
Force = -4000 N
The negative sign indicates that the force is in the opposite direction to the car's motion, which is necessary to bring it to a stop.
In conclusion, the braking force needed to bring the car to a complete stop in 5 seconds is -4000 N.

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Solomon arrives at his first day of work at a nuclear power plant. when putting on safety gear for the first time, he notices that everyone else is tucking their gloves into their sleeves, and he decides to do the same because he assumes this is part of the safety protocol. what kind of influence is solomon experiencing in this scenario?

Answers

The kind of influence which Solomon is experiencing in this scenario is generally referred to as informational social influence.

What is an informational social influence?

In Psychology, an informational social influence can be defined as a situation in which a person (individual) conforms to new information or arguments because he or she has a desire to be right (good and just), especially by looking to others who are believed to have more information.

This ultimately implies that, an informational social influence is a type of conformity which is associated with internalization and it typically occurs when a person (individual) is either unsure and skeptical about a situation or lacks knowledge.

In this context, we can reasonably infer that Solomon is experiencing informational social influence in this scenario.

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How much would a 70 kg student weigh on Pluto? (massPluto = 1.25 x 1022 kg, radiusPluto = 1.20 x 106 m)

Answers

Answer: the weight would be 4.6 (I think i don’t know))

Explanation:

4. Jerry is going to meet Tom to play chess at his house. Jerry’s home is 2 kilometers north and 8 kilometers west of Tom’s. All the roads between the two houses are two-way and run either north to south or east to west. How many kilometers will Jerry drive to visit Tom?

Answers

Answer:

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How does the connection between electricity and magnetism allow you to make
a motor out of a coil and a magnet? How do induced currents allow you
make a generator out of a coil and a magnet?

Answers

Hshshsushsbejsbsbsjwjwnwnwjw

A 0.25 kg object is experiencing a net force of 15 N while traveling in a circle at a velocity of 8.0 m/s. What is the radius of its motion?

Answers

Radius of motion = 3.2 m

In this problem, we are given the mass, velocity, and net force of an object moving in a circle and we are asked to find the radius of motion. We can use the formula for centripetal force which is net force = (mass x velocity^2) / radius, and rearrange it to find the radius. Plugging in the given values, we get the radius of motion to be 3.2 meters. This means that the object is traveling in a circle with a radius of 3.2 meters under the influence of a net force of 15 N.

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A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart, what force of friction do the wheels have against the floor??

Answers

A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart . The wheels have 26.4 N  force of friction against the floor

Force of friction is that force  that resists the sliding or rolling of one solid object over another

F(applied) - friction = F net

30 - fr = mass * acceleration

30 - fr  = 25.5  *  0.12  

fr = 30 - 3.06

  = 26.4 N

The wheels have 26.4 N  force of friction against the floor

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when air is inhaled, it quickly becomes saturated with water vapor as it passes through the moist upper airways. when breathing dry air, about 25 mg of water are exhaled with each breath. at 12 breaths per minute, what is the rate of energy loss due to evaporation? at body temperature, the heat of vaporization of water is lv

Answers

The rate of energy loss due to evaporation is 6.75 × 104 J/min.

When answering questions on Brainly, it is important to be factually accurate, professional, and friendly. Answers should be concise and relevant to the question asked. Any typos or irrelevant parts of the question should be ignored.

The terms provided in the question should be used in the answer to ensure clarity and accuracy. Here is a possible answer to the question:When air is inhaled, it quickly becomes saturated with water vapor as it passes through the moist upper airways.

When breathing dry air, about 25 mg of water are exhaled with each breath. At 12 breaths per minute, what is the rate of energy loss due to evaporation?At body temperature, the heat of vaporization of water is Lv = 2.25 × 106 J/kg.

To find the rate of energy loss due to evaporation, we need to find the mass of water that is exhaled per minute.Using the given values, the mass of water exhaled in one breath is 25 mg or 0.025 g.

Therefore, the mass of water exhaled per minute is:

0.025 g/breath x 12 breaths/min

= 0.3 g/minThe rate of energy loss due to evaporation can now be calculated using the formula:

q = mLvwhere q is the rate of energy loss,

m is the mass of water per unit time, and Lv is the heat of vaporization of water. Substituting the values obtained above gives:

q = (0.3 g/min) x (2.25 × 106 J/kg) =

6.75 × 104 J/min

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What is the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air?

A. 30. 2°F

B. 35. 1°F

C. 40. 4°F

D. 45. 6°F

Answers

The answer to the given question is option C: 40.4°F. Let's see the explanation below.How to find the temperature difference across a properly operating electric furnace?

]We know that the temperature difference across a properly operating electric furnace is given by:ΔT = (Q / (1.08 * CFM))where,Q is the rate of heat input in BTU/hr,1.08 is the factor to convert CFM to lb/min,and CFM is the rate of air flow in cubic feet per minute.So, here,ΔT = (Q / (1.08 * CFM))

Given,The rate of heat input = 10 kW = 34,120 BTU/hrThe rate of air flow = 900 CFMPlugging these values in the above equation, we get:ΔT = (34,120 / (1.08 × 900))ΔT = 40.4°FTherefore, the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air is 40.4°F. Hence, the main answer is option C.

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The temperature difference across the electric furnace is approximately 30.2°F (option A).

To calculate the temperature difference across the electric furnace, we can use the formula:

Temperature difference (ΔT) = Heat (Q) / (Airflow rate * Specific heat capacity * Density)

First, let's convert the power of the electric heater from kilowatts (kW) to watts (W):

10 kW = 10,000 W

Next, we need to determine the specific heat capacity of air. Typically, it is around 0.24 BTU/lb°F.

Since the given airflow rate is in cubic feet per minute (cfm), we need to convert it to pounds per minute (lb/min) using the density of air. The density of air at standard conditions is approximately 0.075 lb/ft³.

Converting 900 cfm to lb/min:

900 cfm * 0.075 lb/ft³ = 67.5 lb/min

Now we can substitute the values into the formula:

ΔT = 10,000 W / (67.5 lb/min * 0.24 BTU/lb°F * 0.075 lb/ft³)

Simplifying the equation:

ΔT = 10,000 W / (67.5 * 0.24 * 0.075) (lb/min * BTU/lb°F * lb/ft³)

Calculating the result:

ΔT ≈ 30.2°F

Therefore, the temperature difference across the electric furnace is approximately 30.2°F, which corresponds to option A.

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1. It might not be visually apparent, but solids such as metal change their volume with
temperature. This is known as
O A. nuclear fusion.
O B. thermal expansion/contraction.
C. density.
D. floating.

Answers

B) thermal expansion
Final answer:

The phenomenon where the volume of solids such as metal changes with temperature is called thermal expansion/contraction. In heat, atoms in the solid move faster, resulting in thermal expansion, while in the cold, they move slower, leading to thermal contraction. This can be seen in phenomena like metal train tracks buckling in heat.

Explanation:

The phenomenon where solids, such as metal, change their volume with temperature is known as thermal expansion/contraction. In response to heat, atoms in a solid move faster and occupy a larger volume - this is thermal expansion. Conversely, when cooled, atoms in a solid move slower and occupy a smaller volume, which is known as thermal contraction.

For example, in everyday life, you might see thermal expansion in action when metal train tracks 'buckle' in high heat, or on a smaller scale, when a metal ring becomes easier to remove from your finger in cold weather, due to thermal contraction.

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Tomas wants to paint his bedroom. He goes to the store and buys two cans of paint.

Which simple machine would make it easier for him to open the cans?
A a lever
B. a pulley
C. an inclined plane
D. a wheel and axle

Tomas wants to paint his bedroom. He goes to the store and buys two cans of paint.Which simple machine

Answers

c an inclined plate
youre welcome

Answer:

I think the answer is c

Explanation:

I had this problem once

PLEASE HELP PLEASE HELP ME PLEASE HELP ME ​

PLEASE HELP PLEASE HELP ME PLEASE HELP ME

Answers

Answer:24

Explanation:

Broccoli, cabbages, and brussel sprouts all descend from the same wild mustard and can still interbreed. These varieties were produced by a. genetic drift. b. inheritance of acquired characteristics. c. migration. d. artificial selection.

Answers

The process responsible for the development of these varieties is artificial selection, also known as selective breeding. The correct answer is D.

Broccoli, cabbages, and Brussels sprouts all share a common ancestor, the wild mustard plant, and can still interbreed due to their close genetic relationship.

Artificial selection involves the intentional breeding of plants or animals with desired traits by humans. In the case of broccoli, cabbages, and Brussels sprouts, ancient farmers selectively bred wild mustard plants over generations, favoring specific traits such as larger leaves, thicker stems, or compact bud formations. By repeatedly choosing and breeding plants with these desired traits, they gradually transformed the wild mustard into the distinct vegetables we know today.

Unlike genetic drift, which refers to random changes in the gene pool of a population, and inheritance of acquired characteristics, which has been discredited as a mechanism of evolution, artificial selection involves deliberate human intervention and selection based on desired traits.

Migration, on the other hand, involves the movement of individuals from one population to another and does not directly contribute to the development of new varieties.

Therefore, the correct option is d. artificial selection.

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In a series-parallel circuit, you can find the total
resistance of the circuit by calculating the resistance of
each parallel section and then adding the series
resistances to these values to obtain a single
resistance. (This class is about cars )

Answers

If you know the total current and  voltage across the circuit, then you can find the total resistance using the Ohm's Law, that is : R = V / I.

How is resistance calculated in series-parallel circuit?

In a series-parallel circuit, one can find the total resistance of circuit by calculating resistance of each parallel section and then adding reciprocals of these values to obtain total resistance of parallel section. Next, you can add series resistances to this total resistance to obtain single resistance for entire circuit.

In series the total resistance is equal to the sum of the resistors. In parallel,  inverse of the total resistance is equal to the the sum of the inverse of each individual resistor.

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Note: The question given on the portal is incomplete. Here is the complete question.

Question: How is resistance calculated in a series-parallel circuit?

what should i do when my teacher betrays my trust and tells my parents the way i act and my secrets?

Answers

Answer:

stop telling the teacher your secrets and talk to her about it be like "hey i opened up to you because i trusted you and you broke that trust i wanted someone to talk to but you told my parents and to me i find that very rude."

Something like that if you want

Explanation:

How to integrate 1/ 1 + x2

Answers

The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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A car is traveling at a speed of 54 km/h. Breaks are applied so as to produce a uniform acceleration of -0.5 m/s2. Find how far the car will go before it is brought to rest

Answers

Explanation:

u=54 km/h

54*5/18=15 m/s

v=0m/s

t=?

acceleration=-0.5m/s^2

we know that a=v-u/t

so,

t=v-u/a

t=15-0/0.5

=15/0.5

=30

therefore, the time is 30 second

Hope this answer helps you..

The MSDS for chloroform indicates that it is a clear liquid that has a pleasant smell and substantial vapor pressure. People should avoid inhaling its vapors, and it is sensitive to light. Malik needs 10 mls of chloroform for an experiment.


According to this information, how should he safely pour the chloroform?

He should locate the chloroform stored in a transparent container in chemical storage and pour directly into his beaker from that location.

He should locate the chloroform stored in a transparent container in chemical storage and should take it to the fume hood to pour.

He should locate the chloroform stored in a dark container in chemical storage and should take it to the fume hood to pour.

He should locate the chloroform stored in a dark container in chemical storage and pour directly into his beaker from that location.

Answers

Answer:

The correct option is the third option

Explanation:

Firstly, it must be noted that chemicals/reagents that are sensitive to sunlight are stored in dark/amber container in the laboratory. Hence, the chloroform can only be found in an amber/dark bottle.

Also, reagents/chemicals that release poisonous/offensive gases are handled in the fume cupboard in the laboratory. Thus, If Malik is going to pour the chloroform, he should pour it in a fume cupboard to avoid inhaling it because of the toxicity of it's vapor.

From the above explanation, it can be deduced that Malik should locate the chloroform stored in a dark container in chemical storage and should take it to the fume hood to pour.

Answer:

He should locate the chloroform stored in a dark container in chemical storage and should take it to the fume hood to pour.

Explanation:

Helpp! If the box moves 12m to the right calculate the work done on the box.

Helpp! If the box moves 12m to the right calculate the work done on the box.

Answers

Answer:

80 times 12=960

Explanation:

You have to do the equation for work, the equation is work= force times distance, the force here is 80newtons, the distance is 12meters, so you would do 80 times 12 to get your answer of 960

What is the conversation of energy

Answers

Answer:

The conservation of energy is a principle where according to which the energy of interacting bodies or particles in a closed system remains constant.

Explanation:

Answer:

a principle stating that energy cannot be created or destroyed, but can be altered from one form to another.

A bottlenose dolphin can hear sounds with frequencies up to 1.5 x 10^5 Hz. If the speed of sound in sea water is approximately 1.5 x 10^3 m/s, what is the wavelength of the wave thae dolphin can hear?

a
2.25 x 10^2 m
b
1 x 10^-2 m
c
1 x 10^2 m

Answers

Answer:

b.  1.0 × \(10^{-2}\) m

Explanation:

The wavelength of a wave is the distance between successive crests or troughs. It is measured in meters, and related to velocity and frequency of the wave by:

  v = fλ

Where v is the velocity, f frequency and λ is the wavelength of the wave. Given that; f = 1.5× \(10^{5}\) Hz and v = 1.5 × \(10^{3}\), then:

            λ = \(\frac{v}{f}\)

               = \(\frac{1.5*10^{3} }{1.5*10^{5} }\)

               = 1.0 × \(10^{-2}\) m

The wavelength, λ, of the wave is  1.0 × \(10^{-2}\) m.

how can a simple machine lift a heavy load with smaller effort​

Answers

Answer:

The axle is fixed to a frame or a block. The pulley is normally fixed to a support above the load. The load is tied to one end of the rope and the effort is applied at the other end. Such a pulley makes our work easier by simply changing the direction of the force, i.e. a load is lifted up using a downward effort.

May be this will help U

Answer:

The axle is fixed to a frame or a block. The pulley is normally fixed to a support above the load. The load is tied to one end of the rope and the effort is applied at the other end. Such a pulley makes our work easier by simply changing the direction of the force, i.e. a load is lifted up using a downward effort

Explanation:

testing asking a question.

Answers

Answer:

i- testing testing,, 1 2 1 2

Answer:

?

Explanation:

Did it work how you wanted?

Two spheres are both launched horizontally from a 10-m-high table. Sphere A is launched with an initial speed of 5.0 m/s. Sphere B is launched with an initial speed of 2.5 mis. a. What are the times for each sphere to hit the floor? b. What are the distances that each travels from the edge of the table?​

Answers

(a) Both spheres are launched with 0 initial velocity in the vertical direction, so they both hit the ground at time t such that

10 m - 1/2 g t ² = 0

where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.

Solve for t :

10 m = 1/2 g t ²

t ² = (20 m) / g

t ≈ 1.4 s

(b) Sphere A travels a horizontal distance of

(5.0 m/s) (1.4 s) ≈ 7.1 m

while sphere B travels a distance of

(2.5 m/s) (1.4 s) ≈ 3.6 m

ls -2 a solution of 4x +3= -5?.

Answers

Answer:

yes

Explanation:

Let's solve your equation step-by-step.

4x+3=−5

Step 1: Subtract 3 from both sides.

4x+3−3=−5−3

4x=−8

Step 2: Divide both sides by 4.

4x  / 4  =  −8  / 4

x=−2

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IS NEEDED ASAP
Which of the following usually offers the lowest cost option for attending college?


local community college


in-state liberal arts college


out-of-state university


out-of-state vocational institute

Answers

From the question; he lowest cost option for attending college is the out-of-state vocational institute.

What is tuition fee?

The term tuition fee refers to a stipulated amount of money that a person is required to pay in order to receive education at a formal institution of learning. The tuition fee would always vary from one institution to another. The cost of attending a private college is always much higher than the cost of attending a public college. This is why a lot of people prefer to attend a public college rather than attending a private college.

Now we know that there are several kinds of Tertiary institutions in the United States such as;

Community collegesVocational institutesUniversities Liberal arts colleges

We know that all the institutions that we have mentioned here does charge a tuition fee to their students except the Vocational institutes. The tuition at a vocational institute is free. As such we can say that; the lowest cost option for attending college is the out-of-state vocational institute.

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In Alberta, which of the following statements is true?

A. Only adults must be restrained in a vehicle.
B.All children must have booster seats.
C.Babies must be restrained in the front seat only.
D.All occupants must be restrained in a vehicle.

Answers

The answer is c because I know it

According to the table, what was the hiker's average speed for
the entire hike?
A: 2.0 km/h B: 5.7 km/h C: 6.7 km/h D: 10 km/h

According to the table, what was the hiker's average speed forthe entire hike?A: 2.0 km/h B: 5.7 km/h

Answers

Answer:

6.7 km/h (C)

Explanation:

According to the table, the hiker's average speed for the entire hike would be 6.7 kilometers/hour.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is a meter/second. The generally considered unit for speed is a meter per second.

The total distance traveled by the hiker = 4 kilometers  + 6 kilometers + 4 kilometers west + 6 kilometers north

                                                                  = 20 kilometers

The total time is taken by the hiker = 45 min + 60 min + 30 min+ 45 min

                                                           = 180 min

                                                           =3 hours

                                               

The average speed of the hiker = 20 kilometers / 3 hours

                                                     = 6.7 kilometers / hours

Thus, the hiker's average speed for the entire hike would be 6.7 kilometers/hour.

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A moon in another galaxy from our own has the same gravity as Earth. a. Determine the radius of the moon is it has a tangential velocity of 400,000 m/s b. Determine the mass of the moon if its orbital period (T-time to complete one rotation) is 24 hours.

Answers

The moon has a radius of 2,040,816 meters and a mass of 5.61 x 10²⁴ kg.

To find the radius of the moon (a), we can use the formula for centripetal acceleration: a = v² / r, where v is tangential velocity and r is radius.

Since the moon's gravity is the same as Earth's, we can use Earth's gravitational acceleration (9.81 m/s²) for a. We rearrange the formula to solve for r: r = v² / a. Plug in the values (400,000 m/s)² / 9.81 m/s², and we get r = 2,040,816 meters.

To find the mass of the moon (b), we can use the formula for orbital period: T = 2π√(r³ / GM), where T is orbital period, G is the gravitational constant (6.674 x 10⁻¹¹ N(m/kg)²), and M is the mass of the moon.

Rearrange the formula to solve for M: M = r³ / (T² / (4π²)G). Plug in the values 2,040,816³ / (24 * 3600)² / (4π²)(6.674 x 10⁻¹¹), and we get M = 5.61 x 10²⁴ kg.

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Explain why the diffraction pattern of the hair appears in the horizontal direction that it does.

Answers

The diffraction pattern of the hair appears in the horizontal direction that it does because the diffraction pattern of the hair appears in the horizontal direction due to the bending and spreading of light waves around the hair.

1. When light encounters an obstacle, such as a hair, diffraction occurs. Diffraction is the bending and spreading of light waves around the obstacle.
2. The hair acts as a single slit, allowing light to pass through the narrow gap around it.
3. As the light waves pass through this gap, they interfere with each other, causing constructive and destructive interference.
4. This interference results in a diffraction pattern that appears in the horizontal direction, which is perpendicular to the direction of the hair.
5. The pattern is characterized by a series of bright and dark bands, with the bright bands representing areas of constructive interference and the dark bands representing areas of destructive interference.
In conclusion, the diffraction pattern of the hair appears in the horizontal direction due to the bending and spreading of light waves around the hair, which causes interference patterns to form perpendicular to the direction of the hair.

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For the following CFG, perform CKY-parsing and derive ALL possible parse trees for the string "baaaaba".S -> AB | BCA -> BA | aB -> CC | bC -> AB | a -4.2 + 3.3 and Ive been getting -7.5 In the healthcare industry the union "win-rate" is ___.A. 67% B. 58% C. about the same as other industries D. less than other industries Which plate is going over top along the Peru-chile Trench? Ryan wants to buy two video games. One costs $35.89 and the other costs $43.65. He estimates the total cost of the two games to be about $80. Is his estimate higher or lower than the actual cost? Explain. answer this. pleaaaaseeee In 35 words or fewer, write an argument from the perspective of an avid water-skier who wants lake powell to remain accessible to motorboats. In recent years, technology has greatly improved our listening experience through better earphones and headphones. Some of the popular brands offering headphones with the latest technology are Suny and Base. Answer the following questions: a. One of the technologies used in these headphones is Active Noise Cancellation (ANC). Headphones with ANC provides a better listening experience for their users. It is hard for customers to find other substitutions to replicate the same experience using these headphones. With this said. we can say that the demand for headphones with ANC will likely be . Type I for Inelastic, E for Elastic or U for Unit Elastic. b. Suny is experimenting to decide the best price to sell their newest headphone. In a surveyed market, it is estimated that 985 headphones can be sold in a day if it is sold at a price of $496. If prices drop to $422, more headphones can be sold and it is estimated that 1099 headphones will be sold. What is the estimated price elasticity of demand using the mid-point formula? Answer to the nearest two decimal places. c. Assume that Suny is trying to maximise revenue. Considering your findings in part b), should Suny increase the price for this headphone in hopes to increase revenue? Type Y for Yes, N for No or U for Unknown. Write an equation of a line in slope intercept form going through the points (1,6) and (3,0) 28 students; 14 students what is the percentage of it? When finding the solution to an engineering design problem, there is/are usually A. only 1 possible correct solution B. a very limited number (2-3) of possible correct solutions C. Many possible correct solutions D. I don't know He is an engineer in A. the cotton industry B. cotton industry C. cotton industries D. cotton industrial What animal bone is most likely to be preserved as a fossil?A. teethB. skullC. leg bonesD. backbone Write a function buckets(equiv, lst) that partitions a list into equivalence classes. That is, buckets (equiv, lst) should return a list of lists where each sublist in the result contains equivalent elements, where two elements a and b are considered equivalent if equiv (a, b) returns True. For example: what is the approximate probability that a randomly chosen student from all those taking the test scores 23 or higher? What are the 5 design considerations? what is the enzymatic strategy least susceptible to changes in pH?a. covalent catalysisb. general acid base catalysisc. metal ion catalysisd. catalysis by approximation If the interior angle of triangle are 3x,4x,and5x find the ize of angle of the traingle. Alo fing the difference between larget and malleat angle Let T:P I need help asap please