the critical angle at the boundary of material x and air is found to be 25.1 degrees. what is the index of refraction of material x?

Answers

Answer 1

Material x has an index of refraction of about 0.425.

The critical angle is the angle of incidence at which the refracted angle of the light ray in the second medium is 90 degrees, or in other words, the angle at which the refracted ray becomes parallel to the boundary of the two media.

The relationship between the critical angle and the index of refraction of the two media can be found using Snell's law:

n₁ sin θ₁ = n₂ sin θ₂

where n₁ and n₂ are the indices of refraction of the first and second media, respectively, θ₁ is the angle of incidence, and θ₂ is the angle of refraction.

At the critical angle, θ₂ = 90 degrees, so we can rewrite Snell's law as:

sin θc = n₂ / n₁

where θc is the critical angle.

Rearranging the equation, we get:

n₂ = n₁ sin θc

Substituting the given values, we get:

n₂ = sin 25.1 degrees

The index of refraction of air is approximately 1.00, so we can assume that n₁ = 1.00.

Using a calculator, we find that:

n₂ = sin 25.1 degrees = 0.425

Therefore, the index of refraction of material x is approximately 0.425.

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Related Questions

Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of: Select one:

Answers

Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of heat reflectivity.

What is heat reflectivity?

When sunlight and other light sources strike a material's surface, its reflectance is measured. This number can be used to characterize a surface's characteristics in terms of surface finish. Another name for reflection is reflectivity.

This is a measurement of the amount of energy that material reflects at a specific wavelength. A value between 0 and 1 can also be used to represent reflectivity (or a percentage between 0 and 100).

Sigma and other top businesses have created a range of other forms of heat reflective fabric in the 50 years after the creation of space blankets, including Fabric and aluminum foil laminates, fabric laminates with metalized thin films.

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Normally, whem I shut my door, it takes quite a bit of effort to shut it, but when my window is open, even if I just pull it slightly then let go, it slams automatically. It isn't an issue, I just want to know the physics behind it. Is it something to do with difference in pressure?​

Answers

Answer:

gravity

Explanation:

gravity pulls anything with with weight towards the earth.

Answer

The reason why this occurs is because if there is any apparent wind being pushed towards the direction of the door, there will be an attempt of equalizing pressure and thus it will slam, or close very loudly when you even just push it shut with some effort.

Explanation

This has happened to me a variety of times, I would have the garage open, and it would be a little bit windy, and when I tried to close it, it would slam shut.

Airflow is a significant factor in the pressure appliance.

Your question at the end is correct (Differences in air pressure.)

Apologies for the late response, but I was interested in this as well.

In the roman soldier model for refraction, a muddy stream crosses the road they are on walking on at 45. Will the soldiers in the front row all hit the water at the same time?

Answers

There are different refractive errors that are common and some of them are:

Nearsightedness (myopia) makes far-away objects look blurry.Farsightedness (hyperopia) makes nearby objects look blurry.Astigmatism can make far-away and nearby objects look blurry or distorted.Presbyopia makes it hard for middle-aged and older adults to see things up close

What is Refraction?

This refers to the study of light phenomena that deflects when it passes through a medium in an oblique manner to another medium of a varying density.

Hence, we can see that there are everyday examples of refraction in simple terms which occurs and some of them are:

GlassHuman eyesIce crystalsPickle jarMicroscope, etc.

Hence, we can see that your question is incomplete, so I gave you a general overview to help you get a better understanding of the concept of refraction.

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How does quantum theory explain the emission spectra of atoms?

Answers

The quantum theory opines that electron in atoms occur a discreet energy levels.

What is the quantum theory?

The quantum theory was initiated by the idea of Max plank. In this idea, energy was viewed as occurring in discrete amounts. This idea was first applied to the phenomenon of the black body radiation hence the Plank Equation; E = hf.

Now Neils Bohr pushed the idea further by putting forward the opinion that when an electron in atom is found in an orbit, it does not radiate energy. The atom was thus visualized as being composed of several energy levels and radiation can only occur when an electron moves from a higher to lower energy level.

This implies that the energy of each electron in an atom is quantized. Thus implies that it has a value which an integral multiple of a fundamental amount.

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The use of fiberglass insulation in the outer walls of a building is intended to minimize heat transfer through the wall by what process?
a) conduction
b) radiation
c) convection
d) vaporization

Answers

Answer:

A, conduction.

Explanation:

Thermal conduction, by definition, is "a phenomenon  that occurs through the interaction of neighboring atoms and molecules, transferring their energy/heat (partially) to their neighbors". Fiberglass insulation works mainly by preventing thermal conduction, as would a rubber handle of a pot on a hot stove.

Hope this helps!

A 70 n force pulls a box straight up 5 m above the ground. How much work is done on the box?

Answers

The work done on the box is 350 Joule.

When is Work done on an object ?

Work is done on an object when the displacement of the object is not perpendicular to the direction of the applied force. The unit of Work is Joule (J)

Given that 70N force pulls a box straight up 5 m above the ground.

Work is the product of force F and the distance S. That is,

W = F x S

Where

Force F = 70 NDistance S = 5 m

Substitute the two parameters into the formula above

W = 70 x 5

W = 350 J

Therefore, the work done on the box is 350 Joule.

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Which meteorological parameter is expressed as the ratio between the air’s actual water vapor content and the amount of water vapor required for saturation at that temperature?

Answers

Which meteorological parameter is expressed as the ratio between the air’s actual water vapour content and the amount of water vapour required for saturation at that temperature: relative humidity.

Water vapour is the primary form of atmospheric moisture. Although its storage in the atmosphere is comparatively small, water vapour is extremely important in forming the moisture supply for dew, frost, fog, clouds, and precipitation.

Water vapour is also the most important greenhouse gas in the atmosphere. Water vapour can be produced from the evaporation or boiling of liquid water or from the sublimation of ice.

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1. What happens to the apparent weight when the objects are submerged in water?

Answers

According to the Archimedes principle, if an object is immersed in a fluid, it experiences an apparent loss of weight which is equal to the weight of fluid displaced. The buoyant force which acts in the upward direction opposite to the weight of the object causes the apparent loss in weight. (Hope that helps)

P waves ________. P waves ________. are faster than S waves and surface waves have higher amplitudes than do S waves propagate only in solids produce the strongest ground shaking

Answers

P waves are faster than S waves and surface waves.

Surface waves

A surface wave in physics is a mechanical wave that travels at the interface of two different media. Gravity waves on the surface of liquids, like ocean waves, are an example that is frequently used. When two liquids with different densities come together, gravity waves can also form at that junction. Solid surfaces can experience elastic surface waves like Rayleigh or Love waves. The way that electromagnetic waves can be steered along a gradient in refractive index or at the boundary between two substances with varying dielectric constants is known as "surface wave" propagation. A guided wave that travels relatively close to the Earth's surface constitutes a ground wave in radio transmission.

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A patient who is lactose intolerant will have a normal glucose curve after ingesting a dose of lactose.

Answers

False, A patient who is lactose intolerant will not  have a normal glucose curve after ingesting a dose of lactose.

What is lactose intolerant ?

Lactose, the sugar in milk, cannot be fully absorbed by those who have lactose intolerance. They have diarrhea, gas, and bloating as a result of consuming dairy products. Although the illness, which is also known as lactose malabsorption, is typically not harmful, some people may experience uncomfortable symptoms.

Types of lactose intolerance -

Primary lactose intolerance (normal result of aging) This is the most common type of lactose intolerance. Secondary lactose intolerance (due to illness or injury)Congenital or developmental lactose intolerance (being born with the condition)Developmental lactose intolerance.

The symptoms of lactose intolerance?

Symptoms of lactose intolerance include nausea, cramps, gas, bloating, or diarrhea within 30 minutes to 2 hours after consuming milk or dairy products.

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A car is traveling north on a straight road at 20 mys and a drone is flying east at 6 mys at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later

Answers

The distance between the drone and the car will be 20,3 m/s.

What is average velocity?

In physics, velocity is a quantity that identifies the displacement of a body in a given time. Thus, the average velocity measures in an average time interval, the speed of displacement of a body.

With that being said, Suppose that both car and drone starts from 0 and move towards north and east, respectively. So, after T time:

Distance covered by the car, [tex]y = 20.T.m[/tex]

Distance cover by the drone, [tex]x = 6.T.m[/tex]

Considering the elevations of 25m, the actual distance between them at any T instant:

[tex]A = \sqrt{(20T)^{2} } + (6T)^{2} +25^{2}[/tex]

Speed, [tex]V = \frac{ds}{dt} = \frac{[2(20T).20+2(6T).8}{\sqrt{(20.5)^{2}+(6T)^{2}+25^{2} } }[/tex]

[tex]V = 20,3 m/s[/tex]

So, the distance between the drone and the car will be 20,3 m/s.

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Answer:

20.3 m/s

Explanation:

dx / dt = 20 m / s

dy / dt = 6 m / s

dj / dt = ? when t = 5 s

The trick here is that the drone is flying at an elevation of 25 m.

x^2 + y^2 = j^2

Implicit Differentiation: 2x dx / dt + 2y dy / dt = 2j dj / dt

We are not given x and y values. Solve by d = vt. Distance = velocity * time

x = 20(5) = 100 m

y = 6 (5) = 30 m

Now we need to solve for j, but we need to solve the hypotenuse z of the right triangle first.

z = [tex]\sqrt{(100)^2 + (30)^2[/tex] ≈ 104.4 m

A mistake occurs when z is used as the distance between the drone and the car. Visualize the distance between the drone and the car as the right triangle where j is the hypotenuse, z is the x value, and 25 m is the y value.

j = [tex]\sqrt{(104.4)^2+(25)^2[/tex] ≈ 107.35 m

dj / dt = 1 / 2(107.35)((4000 + 360)) ≈ 20.3 m/s

What type of energy is solar energy? and how is it used to fuel us and the machines we use every day?

Answers

According to the research, solar energy is a renewable energy used in generating electricity and obtaining thermal energy.

What is solar energy?

It is a type of energy derived from natural sources known as renewable energy that is obtained from solar radiation that reaches the Earth in the form of light, heat or ultraviolet rays.

Solar energy can be used to generate electricity, hot water supply and home heating.

Therefore, we can conclude that according to the research, solar energy is a renewable energy used in generating electricity and obtaining thermal energy.

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As the number of protons in an atom’s nucleus increases

a) The overall stability of the atom decreases

b) The number of electrons must increase to maintain the atom’s overall neutral charge

c) The more neutrons are required to stabilize the nucleus

d) All of the above

Answers

As the number of protons in an atom’s nucleus increases, the number of electrons must increase to maintain the atom’s overall neutral charge; option B.

What is atomic number of an element?

Atomic number is the number of protons present in the nucleus of an atom.

The atomic number of atoms of elements increase with increase in atomic number.

In conclusion, atomic number increases the size down a group and decreases atomic size across a period.

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What happens in a parallel circuit when you increase the number of bulbs

Answers

As more bulbs are added in parallel, the current strength will decrease OR. As more bulbs are added in parallel, the current strength will increase.

2. A spacecraft travels at 2 x 108 m/s relative to Earth. An astronaut on board listens to a CD that lasts 50 min.
How long would the CD last as measured by a stationary clock on Earth?

3. A linear particle accelerator is a special machine that accelerates charged particles to nearly the speed of light
and channel them into a beam. When used in research, the beam hits targets and the atoms split. Scientists
gather information about sub-particles, atoms and molecules to further help understand the laws of physics.
A proton of a mass 1.67 x 10–27 kg is accelerated to 0.999 994c. Calculate the ratio of the proton’s relativistic
momentum to the non-relativistic momentum

Answers

This is a time dilation exercise. The time taken for the CD to last as measured by a clock on earth is given as: 67.08 minutes.

What is time dilation?

Under the theory of special relativity, time dilation is the "slowing down" of a clock as determined by an observer in relative motion with respect to that clock.

Recall that the equation for time dilation is given as:

t = t₀/√(1- (v²/c²)

Where:

t₀ is the observer in the space craft

t  is the observer on earth

v is the speed of the space craft which is given as 2 x 10⁸m/sec

c is the speed of light which is given as 3 x 10⁸m/sec

Hence

v/c = 2 x 10⁸/ 3 x 10⁸

= 2/3

Thus,

t = 5/√(1-(4/9)

= 50 √(9/5)

= 150/√5

= 150 /2.2361

= 67.08 min

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A 500.0 kg elevator is pulled upward with a constant force of 5500.0 N for a distance of 50.0 m. What is the work done by the 5500.0 N force on the elevator?
Group of answer choices

a. -2.45 x 105 J

b. -5.20 x 105 J

c. 2.75 x 105 J

d. 3.00 x 104 J

Answers

C. The work done by the 5500.0 N force on the elevator is 275,000 J.

Work done by the applied force

The work done by the 5500.0 N force on the elevator is calculated as follows;

W = Fd

where;

F is the applied forced is the displacement

W = 5500 x 50

W = 275,000 J

Thus, the work done by the 5500.0 N force on the elevator is 275,000 J.

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help me and I will be your friend forever.

Answers

Answer:

1. iodine

2. convection

3. radiation

4. conduction

5. gases

6. expansion

7. freezing point

8. absorber

9. thermos flask

10. mercury

How much is the velocity of a body when it travels 600m in 5 minutes?​

Answers

answer

so unit of velocity is m/s

displacement=600m

5minutes should be converted to seconds

5×60=300 seconds

so,

velocity= displacement÷time

= 600m ÷300s

=2m/s or 2ms^-1

Answer:

2 m/s

Explanation:

we have given

distance traveled by body =600m

time taken = 5*60 =300 sec( si unit of time is second)

velocity =?

we know that

velocity =distance traveled/ time taken

=600/300

= 2 m/s

In the paralleling technique, the central ray of the x-ray beam must be _____ to the film sensor and the long axis of the tooth.

Answers

The film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

To find the answer, we need to know above the paralleling technique in the dental x-ray.

What is paralleling technique?The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion. The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion.The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.When preparing for an x-ray, it is imperative to keep in mind the root anatomy.The maxillary occlusal plane of the patient should also be parallel to the ground.

Thus, we can conclude that, the film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

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When making segmented bends, the bend radius is the distance from the center point of the circle or object to

Answers

When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit.

What is centerline of conduit.

Segment bending is a technique for bending conduit in which numerous tiny bends are combined to form a single, bigger bend.  Measure from the elbow's center at the bend's CenterPoint to the intersection of the "degrees of bend" lines to determine your centerline radius (see image above). In fact, the CLR may be determined by obtaining this measurement from any point on the elbow. The distance between segments is calculated by dividing the developed length by the number of shots. When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit. To calculate the degrees per shot, divide 90 degrees by the quantity of shots. Regardless of how many lanes a road or highway has, centerline miles are used to quantify their length. Centerline of conduit miles between the two sides of a divided highway might differ slightly due to divergences and curves. Compared to lane miles, centerline miles provide a more understandable indication of a road's overall length.

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An AP Physics student is attempting an FRQ problem. They arrive at the following expression for the total distance an object has traveled:

d = 2vh/g


All you know about the variables in this problem are their dimensions:

[v] = distance/time, [h] = distance, and [g] = distance/time^2.

Given this information, explain why the student’s answer must be wrong.

Answers

The student's answer is wrong because the unit of his answer is meter - seconds which is not unit of distance (meter).

Total distance traveled by an object

The total distance traveled by an object projected upward is calculated from third equation of motion a shown below.

Equation for the motion of the object

v² = u² - 2gh

where;

v is final velocityu is initial velocityg is acceleration due to gravity

at maximum height, the final velocity is zero, v = 0

0 = u² - 2gh

2gh = u²

h = u²/2g

The equation for the total distance an object has traveled during upward projection is "h = u²/2g".

Dimension of the student's answer;

d = (2vh)/g = (m/s x m) / (m/s²)  = (m²/s) / (m/s²) = m.s

Thus, the student's answer is wrong because the unit of his answer is meter - seconds which is not unit of distance (meter).

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Read the following question and answer it using complete sentences. Be sure to fully explain your answer.

What energy conversion is happening when wave power is used?

Answers

Wave power involves  conversion of mechanical energy to electrical energy.

What is wave power?

We know that energy conversion is part of the postulations of the first law of thermodynamics which states that energy can neither be created nor destroyed but can be transformed from one form to another.

Now, the wave power can convert the regular up and down movement of the ocean waves into a source of electricity. This implies that the energy that is taking place here is the conversion of mechanical energy to electrical energy.

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An object starts at rest. Its acceleration over 30 seconds is shown in the graph below:

Answers

Answer:6m/s

Explanation:as you can see before twenty seconds there was no change in speed,but between twenty to thirty seconds,the speed changed from 0m/s to 6m/s,so change in speed is 6m/s.

The speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

Given:

Time, ΔT = 30-20 = 10s

Acceleration, a = 7 m/s²

The speed can be computed from the acceleration and time. The standard unit of velocity is meters per second.

For the given case, the speed can be computed from the acceleration and time given in the graph.

The speed is given as:

a =  v/t

v = at

v = 7×10

v = 70 m/s

Hence, the speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

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A rocket takes off from Earth and starts flying to Mars. What happens to the force of gravity between the rocket and Earth as the rocket approaches Mars

Answers

The force of gravity between Earth and Mars will decrease.

The gravitational law is given as-

           F = G mM/r²

  here,  m= mass of rocket

             M = mass of earth

             r = distance between earth and rocket

So, as rocket takes off from earth and fly towards mars then the distance starts to increase between earth and rocket, and the gravitational pull between them starts to weaken. Then a point will reach when rocket will far from gravity of earth and could probably enter the gravity of Mars.

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A 4 kg toy car moves horizontally on a rough road with coefficient of kinetic friction 0.2. It accelerates from rest to 20 m/s in 10 s. Find (a) the total work done on the car

Answers

The total work done on the car is 784Joule.

What's the acceleration of the car?As per Newton's equation of motion, V= U+atU= initial velocity= 0 m/s

V= vinal velocity= 20m/s

t= time = 10s

a= acceleration

So, 20= 0+ 10a

=> a= 20/10= 2m/s²

What's the distance covered by the car in 10 seconds?As per Newton's equation of motion,

V²-U² = 2aS

S= distance covered by the carSo, 20²-0=2×2×S=4S

=> 400= 4S

=> S= 400/4= 100m

What's the work done on the car due to frictional force?

Work done by frictional force= frictional force × distance

= (0.2×4×9.8)×100

= 784Joule

Thus, we can conclude that the work done on the car is 784Joule.

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Rosa pours a cup of boiling water into a pot of room-temperature water. According to the second law of thermodynamics, what will occur

Answers

Thermal energy from the room-temperature water will continuously flow to the boiling water.

The second law states, in a straightforward manner, that heat cannot naturally go "uphill." When a pan of boiling water and a pan of ice are in touch, the hot water cools and the ice melts and warms up.

THE FIRST LAW OF THERMODYNAMICSAdiabatic Process - is a procedure that is carried out without the system's heat content changing. Water is heated to a temperature of 1000C during the boiling process, making it an isothermal process. As steam, the excess heat leaves the system.

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Increases in the planet's temperature over the past few decades can be attributed to

Answers

Excess Carbon Monoxide(CO) attributed to increases in the planet's temperature over the past few decades

While carbon monoxide (CO) poisoning is the world's most common cause of poisoning death, correlations between CO poisoning and weather are yet unknown.

The incidence risk of acute CO poisoning is influenced by temperature changes, however, the effects vary in Taiwan depending on the season and the person. Our research quantifies the effects of environmental variables and offers essential support for healthcare professionals to create preventive measures to lower the incidence of acute CO poisoning.

An earlier study conducted in Beijing found a negative correlation between temperature and the frequency of acute Carbon Monoxide poisoning. While the impact of other significant weather variables (such as relative humidity and wind speed) on this issue is still unknown, prior research has mostly focused on the relationship between temperature variations and CO poisoning.


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A geologist finds that a Moon rock whose mass is 8.94 kg has an apparent mass of 6.18 kg when submerged in water. What is the density of the rock

Answers

Density of rock = 3.23 Kg/m^3

Given:

mass of Moon rock = 8.94 kg

apparent mass of Moon rock = 6.18 kg

To Find:

density of the rock

Solution: It is a universal fact that mass of an object remains constant whether measured on earth or on moon.

Mass of rock on moon/earth = 8.94 kg

When the block is immersed in water then;

Loss in weight = weight of water displaced

Loss in weight = 8.94 - 6.18 = 2.76 kg

As we know that water has a density of 1g/cm^3 (1000kg/m^3)

Volume of water = volume of the rock = Mass/density = 2.76 kg

density of rock mass/volume = 8.94/2.76 = 3.23 Kg/m^3

Density of rock = 3.23 Kg/m^3

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Suppose we have two planets with the same mass, but the radius of the second one is twice the size of the first one. How does the free-fall acceleration on the second planet compare to the first planet

Answers

The free-fall acceleration on the second planet is one-fourth the value of the first planet.

Calculation:

Consider the mass of planet A to be, M

               the mass of planet B to be, Mₓ = M

               the radius of planet A to be, R₁

               the radius of planet B to be, R₂

The acceleration due to gravity on planet A's surface is given as:

g = GM/R₁²      - (1)

Similarly, the acceleration due to gravity on planet B's surface is given as:

g' = GM/R₂²                           [where, R₂ = 2R₁]

   = GM/4R₁²    -(2)

From equation 1 & 2, we get:

g/g' = GM/R₁² ÷ GM/4R₁²

g/g' = 4/1

Thus we get,

g' = 1/4 g

Therefore, the free-fall acceleration on the second planet is one-fourth the value of the first planet.

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Block A has a weight of 60 lb and block B has a weight of 10 lb. Determine the speed of block A after it moves 5 ft down the plane, starting from rest. Neglect friction and the mass of the cord and pulleys.

Answers

The speed of Block A is 7.18 ft/s.

From energy conservation we know that the initial kinetic energy is equal to final kinetic energy.

Block A has weight of 60 lb.

Block B has weight of 10 lb.

In the question it is said that block A moves from rest at a distance of 5ft.

Relative motion constraint-

2sA + sB  =l

differentiating we get:

So,    2ΔsA + ΔsB  = 0

→  ΔsB = -2ΔsA

2 vA + vB  =0

→  vB = -2vA

Now applying principle of work and energy

TA0 +TBO + ΣwO-AB  =  TA+TB

1/2 mA v²A₀ + 1/2 mBv²B₀ + wAΔsA + wBΔsB = 1/2 mAv²A + 1/2 mBv²B

0 + 0 +6(5) - 10(10) = 1/2 (-60/32-2) v²A +1/2 (10/32.2) 2v²A

vA = 7.18 ft/s

So, the speed of block A is 7.18 ft/s.

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Other Questions
A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?a. The point estimate is 0.765 and the margin of error is 0.07. b. The point estimate is 0.765 and the margin of error is 0.835. c. The point estimate is 0.80 and the margin of error is 0.035. d. The point estimate is 0.80 and the margin of error is 0.07. e. The point estimate could be any number within the interval and the margin of error is 0.035. Sally has 21 books sam has 24 time books than Sally how many books does Sam have How does Marisol's attitude toward Roberto change by the end of the text?She sees him as half of the team rather than as an opponent.BShe flatters him in the hopes that he will dance well rather than putting himdown.She recognizes his fear and tries to encourage him rather than mock him.DShe feels guilty for forcing him to dance and is sweet rather than bossy. Membership in the Cape Fear Health Club has been recorded for the past nine years. Management wants to determine the trend of membership in order to project future space needs. This estimate would help the club determine whether a future expansion will be needed. Given the following time series data, develop a regression equation relating memberships to years. Based on your regression equation, what is your forecast for 2020 memberships? Memberships are in hundreds.Year > 2011 2012 2013 2014 2015 2016 2017 2018 2019#'s > 11 13 15 17 16 18 20 19 23a. 22.b. 24.6.c. 23.3.d. 11.e. 25.9. Read Zion National Park:In 1917, Horace Albright visited the canyon created by the Virgin River in southwestern Utah. He was amazed at the beauty of the colorful cliffs. Albright determined that this national monument would become a popular tourist destination. The official name of the monument at that time was Mukuntuweap National Monument. It had been named in honor of the Paiutes who lived in the region. Albright thought that the name was difficult to pronounce and proposed a name change. President Woodrow Wilson renamed the monument Zion National Monument, which became Zion National Park in 1919. The number of people visiting the park increased from approximately 300 in 1914 to 1,814 people in 1919.Zion National Park is known for its many hiking trails. The shortest trail leads to one of the popular destinations: Weeping Rock, a cliff face with a hanging garden. Over the years, water made its way through the Navajo sandstone of the cliff, traveling through pores and creating canyons. Eventually, the water encountered a layer of rock that was impermeable. The water was unable to continue down, so it traveled horizontally. At Weeping Rock, the water comes through the pores of the sandstone. The amount of water that flows out of the rock can be a trickle or a stream, giving the impression that the rock is crying. Vegetation grows in shaded areas of the cliff with water coming through the rock. As the plants grow out of the rock face, they give the illusion that they are hanging in the air.In the last century, word spread of Zion National Park's many natural treasures, like the Weeping Rock. Roads, trails, and visitor centers were built. More people traveled to Zion in order to hike, horseback ride, and go canyoneering. The Zion-Mount Carmel Tunnel was constructed by 1930. Visitors still use the tunnel to travel from Zion to the Grand Canyon or Bryce Canyon. Now, park rangers are facing problems created by having too many visitors. Trails and campgrounds are overused and need repairs. Visitors are straying off the trails to create their own, thereby damaging the vegetation. Rangers are considering the best ways to protect this national park and maintain its beauty for future generations.Based on the passage, how did the existence of Navajo sandstone lead to the hanging gardens? 1. The existence of Navajo sandstone allowed water to flow through its pores, until it reached a different type of stone, moved horizontally, and came out the side of the cliff. This water was necessary for the plants to survive, leading to the hanging gardens.2. The existence of Navajo sandstone led to a dry, hot climate, in which plants could not grow, except those used in hanging gardens. This dry, hot climate made it difficult for many species of plants to grow, resulting in locals planting the hanging gardens.3. The existence of Navajo sandstone led to the creation of many holes with soil, which hanging gardens use to grow up toward the sun. These holes with soil were used by locals to plant lush hanging gardens that visitors could help maintain when they visited.4. The existence of Navajo sandstone showed that Native Americans used to dwell in the area by building their houses in the cliffs. In order to decorate their homes, the Native Americans planted many different types of plants in the walls near the water. si viajas de un lugar a otro de menor altitud, habrs notado que se te tapan los odos,a qu se debe? la raz cbica del doble de tres es (37)2 372 327 Please help 25 points and Brainliest Match the followingMatch the object of nature with the description of what happened to it during the catastrophe of the sixth seal. Match the items in the left column to the items in the right column.1. became black or darkened mountains 2. moved out of place heaven 3. became the color of blood sun 4. fell to the earth in showers stars 5. rolled back as a giant scroll moon You have decided to cook a birthday meal for your friend. Write an email to this friend, asking for their ideas. A company owns a 5-year old turret lathe that has a book value of $25,000. The present market value for the lathe is $16,000. The expected decline in market value is $2,000/year to a minimum market value of $4000. maintenance plus operating costs for the lathe equal $4,200/year. A new turret lathe can be purchased for $45,000 and will have an expected life of 8 years. The market value for the turret lathe is expected to equal $45,000(0.70)k at the end of year k. Annual maintenance and operating cost is expected to equal $1,600. Based on a 12% before-tax MARR, should the old lathe be replaced now? Use an equivalent uniform annual cost comparison, a planning horizon of 7 years, and the cash flow approach. How many traffic crashes were report in Port Orange in 2019? please help need answer before 11pm Which distinguishes mitosis from meiosis? A. Mitosis has one DNA replication, while meiosis has two DNA replications. B. In mitosis, the nucleus divides once. In meiosis, the nucleus divides twice. C. In mitosis, homologous chromosomes pair up. In meiosis, there is no pairing of chromosomes. D. Mitosis results in the production of gametes, while meiosis results in the production of body cells. Which detail from A Ride in the Night best supports the inference that John Clark would prefer to be the one to deliver the horses, rather than Will. He looked hard at Will. Yes, hes too young, John Clark agreed.What better password is there for a man with a son on the Kentucky frontier? Listen carefully to me, said John Clark. You must carry out my directions to the letter.Oh, if only I had not dropped that stone on my foot last week! I NEED HELP ASAP!!!! FILE TOO BIG TO FIT IN BOX IT IS IN THE COMMENTS!!!!Question: What type of art is this? Although American involvement in Vietnam started in the mid 1950s, mostAmericans believe U.S. involvement began in the 1960s. Why do Americans thinkthe war started 1964? Profile: Malala Yousafzai is divided into three parts: an introduction, a section titled Passionate campaigner, and a section titled Back at school. Which of the following best describes the final two parts? a Passionate campaigner tells about Malalas life before the diary, and Back at school tells about her life today. b Passionate campaigner tells about Malalas life since the Taliban left Pakistan, and Back at school tells about her life during the Taliban regime. c Passionate campaigner tells about Malalas life before the shooting, and Back at school tells about her life afterward. Which processes are part of the fast carbon cycle? What does cherry mean when she says bob "wasn't just any boy"?(book: the outsiders) yoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo