A transverse wave on a string has an amplitude of 20 cm, a wavelength of 35 cm, and a frequency of 2.0 Hz. The wave moves in the positive x-direction.

--Enter any fractional coefficients as fractions, i.e., do not approximate fractions using decimals. Enter as itself; do not multiply it with other numerical factors. Enter phase angles in inverse function form if they do not evaluate one of the special angles on the unit circle.


--Write the mathematical description of the displacement y1(x,t) from equilibrium for the wave if, at t=0, x=0, and y1=0.

y1(x,t)= ___m


--Write the mathematical description of the displacement y2(x,t) from equilibrium for the wave if, at t=0, x=0, and y2=20 cm.

y2(x,t)= ___m


Write the mathematical description of the displacement y3(x,t) from equilibrium for the wave if, at t=0, x=0, and y3=−20 cm.

y3(x,t)= ___m


Write the mathematical description of the displacement y4(x,t) from equilibrium for the wave if, at t=0, x=0, and y4=13 cm.

y4(x,t)= ___m

Answers

Answer 1

(a) The mathematical description of the displacement of the wave, y1(x,t) = 0.2 m.

(b) The mathematical description of the displacement of the wave, y2(x,t) = 0.4 m.

(c) The mathematical description of the displacement of the wave, y3(x,t) = 0.2 m

(d) The mathematical description of the displacement of the wave, y4(x,t) = 0.33 m

Wave function

The general wave function is written as follows;

y(x, t) = Acos(kx - ωt)

where;

k is the wave number = 2π/λA is amplitude of the wave = 20 cmω is angular speedλ is the wave length = 35 cm

y0 = Acos(kx - ωt)

y0 = 20cm x cos(0 - 0)

y0 = 20 cm

From equilibrium of the wave, at t=0, x=0, y1 = 0

y1(x,t) = 20cm x cos(0 - 0) = 20 cm

y1(x,t)= 20 cm = 0.2 m

Thus, y1 = y1 + y0

From equilibrium of the wave, at t=0, x=0, y2 = 20 cm

y2 = y0 + y1 + y2

y2 = 20 cm + 0 + 20 cm

y2(x,t)= 40 cm = 0.4 m

From equilibrium of the wave, at t=0, x=0, y3 = -20 cm

y3 = y0 + y1 + y2 + y3

y3 = 20 cm + 0 + 20 cm - 20cm

y3(x,t)= 20 cm = 0.2 m

From equilibrium of the wave, at t=0, x=0, y4 = 13 cm

y4 = y0 + y1 + y2 + y3

y4 = 20 cm + 0 + 20 cm -20 cm + 13 cm

y4 = 33 cm

y4(x,t) = 33 cm = 0.33 m

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Related Questions

The figure above shows a rod that is fixed to a horizontal surface at pivot P The rod is initially rotating
without friction in the counterclockwise direction. At time t, three forces of equal magnitude are applied
to the rod as shown. Which of the following is true about the angular speed and direction of rotation of
the rod immediately after time t?

Answers

The angular speed is decreasing and direction of rotation clockwise of the rod immediately after time t.

What is angular speed ?

The rate of change of angular displacement is defined as angular speed.  It is stated as follows:

ω = θ t

Where,

θ is the angle of rotation,

t is the time

ω is the angular velocity

The torque is found as;l

[tex]\rm T = F \times r[/tex]

If the force is acting on the rod  from the three point is the same, the value of the torque is depends upon the radius or the perpendicular distance.

The perpendicular distance of the right force is grater. Hence, the force acting on the right side is more, and the rod will rotate clockwise.

Both the forces are acting downwards. Thus, the resultant force is the less due to which the speed is increasing.

Hence, the angular speed is decreasing and direction of rotation clockwise of the rod immediately after time t.

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If a snowboarder going over a jump has 45,000 Jof mechanical energy and you know the snowboarder has 30,000 J of kinetic energy, how much potential energy does the snowboarder have?

Answers

Answer:

15,000 J of potential energy

Explanation:

Mechanical energy of an object is the sum of its potential energy and kinetic energy.

45,000  = x + 30,000

45,000 - 30,000 = x

x = 15,000

Mark brainliest please!

ME=KE+PE

45000=30000+PE

PE=15000 J

Light can travel through materials that you cannot see through, like wood or aluminum foil.
agree or disagree

Answers

Answer:

Agree

Explanation:

Regarding the aluminium foil, its actually a transparent material, allowing almost all light to pass through. Non-visible light, such as radio waves, x-rays, and gamma-energy photons, can most definitely can travel through wood too. So yeah agree.

Light can travel through transparent materials which we  can see through.  Materials like, wood, aluminums foil etc. are opaque to light and does not pass light through it. Hence, disagreeing to the statement.

What is transparency?

A material is said to be transparent if light can pass through it. Thus light any of the phenomenon like transmission, absorption or reflection. A fraction of light transmitting through the material is absorbed by it.

Mirror, glass, water etc. are transparent and light can transmit through it. These materials can absorb light and reflect a portion. The amount of incident light that is absorbed by the material is dependent on its nature.

Objects that does not pass light through them are called opaque. They cant absorb or reflect light. Objects such as wood, aluminum foil, metals such  as iron etc. are opaque. Thus, the given statement is false.

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Andy described the functions of two human body organs and labeled them A and B. Look at the table and select the answer that correctly identifies the organs. (2 points)

Table labeled A and B. A includes the text: Oval-shaped organs, located in body of a female, and produce eggs. B includes the text: Oval-shaped organs, located in the body of a male, and produce sperm

A are the ovaries and B are the testes

A are the testes and B are the ovaries

A are the Lungs and B are the testes

A are the ovaries and B are the kidneys

Answers

Answer:

A are the ovaries and B are the testes

A are the ovaries B are the testes

What is the frequency of this wave?
1
2
3
4

Answers

Answer:

I believe your looking at either 1 or 2

Explanation:

When an object has more negative charge than positive charge, the object is called

Answers

When an object has more negative charge than a positive charge, the object is called a negatively charged object or anion.

What is a negatively charged object?

A negatively charged object has more electrons than protons. This is because electrons are negatively charged subatomic particles in an atom. A neutral object has the same number of protons as electrons. Electrons or negative charges can flow freely from object to object.

When an object has a positive charge, it has more protons than electrons. Therefore, when an object has a negative charge, then that object contains more electrons than protons. Electrical effects are caused by the charge imbalance between a negatively charged object and a positively charged object.

Therefore, when an object has more negative charge than a positive charge, the object is called a negatively charged object or anion.

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How is the gravitational force acting on a falling object calculated

Answers

Taking into account the Newton's second law, the gravitational force acting on a falling object is calculated by multiplying mass and acceleration due to gravity (third option).

Newton's second law

In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Gravitational force

In this case, the only force is gravity. Then, the gravitational force acting on a falling object is calculated by multiplying mass and acceleration due to gravity (third option).

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You have a meteorite sample and you decide to use the uranium-235/lead-207 system to date it. After analysis, you find that it has 22,500 atoms of 235U remaining, and 1,477,500 atoms of 207Pb that the 235U decayed to. What percentage of the original amount of 235U is still present?

Answers

Originally there must been

1,4775E6 + 2.25E4 = 147.75E4 + 2.25E4 = 150E4 present at start

% = 2.25 / 150 = 1.5 %      of 235 U left

You position two plane mirriors at right angles to each other a light ray strikes one mirrior at an angle of 60 to the normal and reflects towards the second mirrior what is the angle of reflection off the second mirrior

Answers

Answer:

30 degrees

Explanation:

Reflects off of mirror 1  at   60 degrees....this makes it incident to second mirror at 30 degrees ....then angle of reflection equals this angle of incidence = 30 degrees

See atached diagram

why do water use acidified


Answers

Answer:

To create healthy water and more for more H (hydrogen)

Explanation:

In a parallel circuit with 4 lights,
why will the other lights work
even if one of the bulbs goes out?
A. Because each light has its own complete path
for the electrons to flow
B. Because there is only one path for the
electrons to flow, and it goes through all four
lights
C. Because if one light goes out, it stops the flow
of electrons

Answers

Answer:

A

Explanation:

A parallel circuit has its own path for each light, so even when one bulb goes out, the electrons keep moving through the other paths and light up the other bulbs. Therefore, the answer is A.

Use the Figure 1 and decide which swithes should be turned "on" position in order to get the circuit given in Figure 2.​

Answers

Answer:

see below

Explanation:

closing   1 and 2   will get the A part

close 6 and 3 to get the parallel B part

leave all of the other switches open

Emma constructed a simple motor. When connected correctly, the coil of copper wire spins. Which of the following best describes the energy transformation that takes place between the paper clips and the spinning coil? undefined Question 4 options: Kinetic energy transforms into electrical energy. Chemical energy transforms into electrical energy. Electrical energy transforms into kinetic energy. Kinetic energy transforms into chemical energy.

Answers

Answer:

The first one. Kinetic to Electric

Explanation:

The wire is spinning which is Kinetic energy, and the energy is being transferred into electric.

Donald Trump has a mass of 108 kg, calculate his height when he is at the following heights (g=9.81 N/kg):
a) 20 J b) 1050 J c) 150 kJ
d) 120 J e) 2000 J f) 57 J
g) 1200 J h) 1 kJ i) 92 kJ

Answers

Answer:

(a)

Q=mgh

20=108×9.81×h

20=1059.48h

divide both side by 1059.48

h= 20/1059.48

h=0.02

(b)

1050= 108×9.81×h

1050= 1059.48h

h=1050/1059.48

divide both side by 1059.48

h=0.99

repeat the remaining following and check the answers

(c) h=0.14

(d) h=0.11

(e) h=1.89

(f) h= 0.05

(g) h=1.13

(h) h=0.94

(i) h= 86.84

note the (h) and (i) you need to change the kj to j by multiple by 1000

A car of mass 800 kg is climbing an incline of 10° to the horizontal. If the car moves a distance of 50 m up the incline, determine the potential energy. ​

Answers

Answer:

h = distance up = 50 sin 10

m g h = 800 * 9.81 * 50 sin 10 Joules

Explanation:

Can someone answer and explain these questions?

Answers

Answer:

oh that looks hard but sorry im not good at math ether so sorry i couldnt help

Explanation:

Electrical energy is sold by the kilowatt hour How much would it cost to heat a hot tub from 15 to 43

Answers

Answer:

hot tub is hot

Explanation:

dont get fried

4. Solve 3x2 - 7x - 4 = 0 by completing the square. (10) ​

Answers

Answer:

(3x - 4)(x - 1)

Explanation:

Your question is wrong

how does cool roofs help the co2?

Answers

Answer:

These cool down not only the house but even helps with the potential of canceling the heating effect of up to two years of worldwide carbon dioxide emissions. Which would over help the co2 rates.

When there is no torque acting
on a
body, its angular momentum is constant.

True or false

Answers

Answer:

the correct answer is true.

Explanation:

hope the above photo is self explanatory.please not forget to rate and mark brainliest!!!

Answer: True

Explanation:

Which of the following statements about postpartum depression is TRUE? Most cases of postpartum depression must be treated medically. Postpartum depression is very common. Postpartum depression is related to breastfeeding. Most women can work through severe postpartum depression on their own.

Answers

Answer:

Postpartum depression is very common

Explanation:

Common for ages 18-35

Postpartum depression: A mood disorder or depression that occurs in mothers after the birth of a baby. Usually this will be a short term disorder.

Postpartum depression is very common. The correct option is B.

Following childbirth, postpartum depression (PPD) is the most prevalent psychological disorder.

Postpartum depression (PPD) can affect one in seven women. The "baby blues" are a common postpartum condition for new mothers.

It is crucial to understand that postpartum depression is a serious problem that can have a substantial influence on mothers' and families' wellbeing.

In order to address and manage postpartum depression, it is essential to seek treatment and support from healthcare professionals.

Thus, the correct option is B.

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Your question seems incomplete, the probable complete question is:

Which of the following statements about postpartum depression is TRUE? A. Most cases of postpartum depression must be treated medically.

B. Postpartum depression is very common.

C. Postpartum depression is related to breastfeeding.

D. Most women can work through severe postpartum depression on their own.

If a 0.08 kg cell phone falls off a table at 15 m/s, then what is its
kinetic energy right before it hits the ground?
J
Do not include units in your answer.
Enter the answer
2 SCRATCHPAD
Check it
Improve this question

Answers

The kinetic energy of the cell phone before it hits the ground given the data is 9 J

Data obtained from the question Mass (m) = 0.08 Kg Velocity (v) = 15 m/sKinetic energy (KE) =?

How to determine the kinetic energy

The kinetic energy of the cell phone can be obtained as follow

KE = ½mv²

KE = ½ × 0.08 × 15²

KE = 0.04 × 225

KE = 9 J

Thus, the kinetic energy of the cell phone is 9 J

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The kinetic energy right before it hits the ground is 0.6 J

Kinetic Energy

Kinetic energy is the energy possessed by a body in motion. The S.I unit is Joule. Kinetic energy depends on:

The mass of the bodyThe velocity of the body

Given that a 0.08 kg cell phone falls off a table at 15 m/s, its

kinetic energy right before it hits the ground can be calculated by using the formula;

K.E = 1/2 x m x [tex]v^{2}[/tex]

The given parameters are:

mass m = 0.08 kg

velocity v = 15 m/s

Substitute the parameters into the formula

K.E = 1/2 x 0.08 x 15

K.E = 0.6 J

Therefore, its kinetic energy right before it hits the ground is 0.6 J

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Select the correct answer. What system prepares the body for the fight-or-flight response in stressful situations? A. somatic nervous system B. sympathetic nervous system C. parasympathetic nervous system D. central nervous system

Answers

Answer:

the sympathetic nervous system

Explanation:

It triggers the fight-or-flight response.

Which of the following statements regarding the moon and Earth is correct?
A. Earth and the moon are nearly the same age.
B. Earth and the moon have nearly the same mass.
C. Earth is tidally locked, while the moon spins on its axis.
D. The moon is older than Earth by approximately 300 million years.

i think it is A?

Answers

It’s Definitely A the other one’s are definitely wrong and I know A is a fact


1 Explain the work being done at the New Mexico Institute of Mining and Technology and why it is significant.

Answers

The New Mexico Institute of Mining and Technology is significant because it proffer solutions to future challenges and problems.

What is the New Mexico Institute of Mining and Technology?

The New Mexico Institute of Mining and Technology is also known as New Mexico Tech and it refers to a public university that is located in Socorro, New Mexico.

Basically, the New Mexico Institute of Mining and Technology is a public university which is devoted to excellence in education, innovation and research, so as to advance engineering, science, and technology.

In conclusion, the New Mexico Institute of Mining and Technology is significant because it proffer solutions to future challenges and problems.

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How much work do I put in if I pushed an object with a force of 64 a distance of 11m

Answers

Answer:

Work = Force * Distance

Here,

force = 64 Ndistance = 11m

Thus, Work = 64 * 11 = 704 joules(J)

An elevator lifts a total mass of 1.1×103 kg a distance of 40.0 m in 12.5 s. How much power does the elevator deliver?

Answers

The power delivered by the elevator is 34496 W.

What is power?

Power is the rate at which energy is used up.

To calculate the power delivered by the elevator, we use the formula below.

Formula:

P = mgh/t.............. Equation 1

Where:

P = Power delivered by the elevatorm = Total mass on the elevatorg = acceleration due to gravity h = Height

From the question,

Given:

m = 1.1×10³ kgh = 40 mt = 12.5 sg = 9.8 m/s²

Substitute these values into equation 1

P = 1.1×10³×40×9.8/12.5P = 34496 W.

Hence, the power delivered by the elevator is 34496 W.

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What is the velocity between the times t=3 to t = 4?

Answers

Answer:

The answer is t=4 + t=3=t=7

At a particular instant, a football has a velocity of 25 m s–1 and its direction makes an
angle of 30° above the horizontal. Determine the vertical and horizontal components
of its velocity

Answers

This question involves the concepts of the resolution of vector and rectangular components.

The vertical and horizontal components of velocity are "21.65 m/s" and "12.5 m/s", respectively.

What are rectangular components?

The resolution of a vector into its rectangular components gives two components of the vector in the horizontal and the vertical directions. These components can be mathematically found as follows:

[tex]v_x=v\ Cos\ \theta[/tex]

where,

[tex]v_x[/tex] = horizontal component = ?v = velocity = 25 m/sθ = angle = 30°

Therefore,

[tex]v_x = (25\ m/s)Cos (30^o)\\v_x = 21.65\ m/s[/tex]

For vertical component:

[tex]v_y=v\ Sin\ \theta[/tex]

where,

[tex]v_y[/tex] = vertical component = ?v = velocity = 25 m/sθ = angle = 30°

Therefore,

[tex]v_y = (25\ m/s)Sin (30^o)\\v_y = 12.5\ m/s[/tex]

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What is the resultant of the vectors shown?

Answers

Answer:

Option B

Explanation:

Option A is the wrong answer because the horizontal vector is in the opposite direction.

Option C is the wrong answer as the horizontal vector is in the opposite direction and all the vectors are connected head to tail [of the arrows] [Triangle law of vector addition]

Option D is the wrong answer as the horizontal vector is in the opposite direction.

Other Questions
Read the excerpt from the article Amazing Plants:What's for Dinner?There are a surprising number of plants that are carnivorous, or feed on meat. One of the most well-known carnivorous plants is the Venus flytrap. This carnivore lives in warm, swampy areas where it feeds on flies and any other insect unfortunate enough to land on one of its round, spiky leaves. The leaves are motion-sensitive, and the slightest touch causes a leaf to snap shut, trapping the prey behind a prison of spikes.Pitcher plants are another quiet carnivore. The plants are long, pitcher-like tube shapes, with wide bottoms full of water to catch and digest their prey. Pitcher plants use different strategies to attract prey. Some give off sweet smells, while others produce nectar. Pitchers have been known to consume anything from insects to small lizards and rodents.Read the article Trapped by a Predator:When I was 12, I went on vacation to the Wilmington, North Carolina area. While there, my family and I went on a hike in the Croatan National Forest, a true coastal forest that is bordered on three sides by water. As I traversed the boardwalk, I caught a glimpse of something pink in my peripheral vision. I stopped and bent down to inspect the mysterious looking specimen. It had long, sharp-looking white teeth and a large, pink mouth. Upon closer inspection, I noticed little droplets of liquid around the rim. Inside its mouth, there were six tiny hairs, three on the top and three on the bottom. While I was examining the unknown object, I saw a fly zoom in and land inside the mouth. I observed as it wandered around the reddish-pink, fleshy surface and brushed against one of the hairs. What happened next seemed like something out of a horror story. All of a sudden, the mouth snapped shut, and the teeth made a prison, trapping the poor fly inside. I witnessed the fly fighting against the spiky teeth, trying to escape, but it was an unsuccessful struggle. When my mother caught up to me on the path, I showed her the slayer, and she explained that the fly eater was the plant called a Venus flytrap. In that moment, I wanted to learn more about this carnivorous flora.I became a botanist because of that first encounter with the predatory plant. Over the years, I learned so much more about the Dionaea muscipula, better known as the Venus flytrap. For example, the liquid around the rim of its "mouth" is actually a sweet nectar that lures prey. In addition, the six tiny hairs, called trichomes, are like little sensory time bombs. This means when an insect touches a trichome, a timer is set for 20 seconds. If there is a second touch within the 20-second period, the mouth clamps down and traps the prey. The third movement signals the plant's digestive juices to start breaking down the insect. In about ten days, the Venus flytrap reopens and any part of the insect that didn't get digested falls out. It is an amazing process!Because of my experience in North Carolina all those years ago, I decided to become a botanist and specialize in carnivorous plants. I have studied pitcher plants, sundews, water wheels, cobra lilies, and more. I never bore learning about the different traps, like suction traps and sticky traps, that carnivorous plants use to snare their prey. In fact, you could say I was trapped by the Venus flytrap, that meat-eating predator, when I first laid eyes on it.Select the sentence that correctly combines information from both texts. (2 points)A. Carnivorous plants, like the Venus flytrap and pitcher plant, use traps, like nectar or suction, to get prey.B. In about ten days, the Venus flytrap reopens and any part of the insect that didn't get digested falls out.C. The liquid around the rim of the flytrap's "mouth" is actually a sweet nectar that lures prey.D. 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Which part of the Federal Government ratifies treaties?PresidentSenateHouse of RepresentativesSupreme Court The first hearing of most Federal cases is usually heard in a(n):District CourtAppellate CourtMunicipal CourtState Court Factor completely x2 - 6x2 5x + 30.(x + 6)(x2 + 5)(x - 6)(x2 + 5)(x - 6)(x2 5)(x + 1)(x2 - 5) JUST ANSWER NO NEED FOR EXPLANATION PLSSS BE FASSTT I NNEED THE ANSWER helppp asapppppppppp the half life for strontium-90 is 29 years. how many half-lives did the sample go through at the end of 87 year Which of the following is a safety consideration when hunting wild turkey? Use a rooster call, avoid using a hen call B Use a hen call, avoid using a rooster call C Mark your hunting area with camouflage netting D If hunting with another person, place decoys between you and the other hunter Find the best statement that describes Bilirubinuria:O Glucose in urineBilirubin in urineO Protein in urineO a pigment metabolite from the destruction of hemoglobinO Red blood cells in urineO White blood cells or pus in urine Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.-15A. 360 + 643 unitsB. 720 + 16v3 units'OC. 720 +61, 3 unitsD. 360 + 16,3 units good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. what is a solution of 7-2x+5=8 What is the value represented by the letter E on the box plot of the data?45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90B.DEEnter your answer in the box. Mackenzie chooses one candle and then chooses another candle. What is the probability that Mackenzie selects a polka dot candle both times? Find each value or measure. Assume that segments that appear to be tangent are tangent. A 16kg dog is running 4m/s. Find its kinetic energy.4J64 J128 J256 J