The wave function for a travelling wave on a taut string isy(x,t)=(0.350m)sin(10πt−3πx+π/4). (SI units)(a) what is the speed and direction of travel of the wave ?(b) what if the vertically position of an element of the string at t=0,x=0.100m?(c ) what is the wavelength and frequency of the wave?(d) what is the maximum transverse speed of an element of the string?

Answers

Answer 1

The wave function for a travelling wave on a taut string is y(x,t)=(0.350m)sin(10πt−3πx+π/4). The speed of the wave is 10/3 m/s and the direction of travel of the wave is in the positive x-direction. The vertical position of the element 0.175 m. The wavelength is 2/3 m and the frequency is 5 Hz. The maximum transverse speed is 3.50 m/s.

The wave function for a travelling wave on a taut string is given as

y(x,t) = (0.350 m)sin(10πt - 3πx + π/4)

Where x is the position along the string, t is time, and y is the displacement of the string at a given point and time.

(a) The speed of the wave is given by the coefficient of t in the argument of the sine function divided by the coefficient of x. Therefore, the speed of the wave is

v = (10π)/(3π) = 10/3 m/s

The direction of travel of the wave is in the positive x-direction, as seen from the positive coefficient of t.

(b) To find the vertical position of an element of the string at t = 0, x = 0.100 m, we can substitute these values in the wave function

y(0.100,0) = (0.350 m)sin(π/4) = 0.175 m

Therefore, the vertical position of the element of the string at t = 0, x = 0.100 m is 0.175 m.

(c) The wavelength of the wave is given by the coefficient of x in the argument of the sine function. Therefore, the wavelength is

λ = (2π)/(3π) = 2/3 m

The frequency of the wave is given by the coefficient of t in the argument of the sine function divided by 2π. Therefore, the frequency is

f = (10π)/(2π) = 5 Hz

(d) The maximum transverse speed of an element of the string is given by the amplitude of the wave function multiplied by the angular frequency. Therefore, the maximum transverse speed is

vmax = (0.350 m)(10π) = 3.50 m/s

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Related Questions

3.Minsoo is training for cross-country in the fall. He ran 5 miles east. Then he turned around and ran 4 miles west. Draw and label the vectors that show each segment of his trip and the resultant displacement vector. Find his resultant displacement. (10 points)

Answers

Answer:

...............................

What is the speed of a person travels 1 meters in 4 seconds

Answers

Answer:

4 m/s

Explanation:

multiply m ang s para makuha yung speed ng isng object ....

The answer would be 0.25 m/s. Use the speed formula which is distance over time.

Question 29 of 43
Which is true of infrared waves?
They have shorter wavelengths than X-rays.
They give off more energy than gamma rays.
Ο Ο Ο Ο
o They have longer wavelengths than ultraviolet waves.
They have higher frequencies than visible light waves

Answers

I agree with the first responses

Infrared wave basically have shorter wavelengths than X-rays. The correct option is A.

What is infrared wave?

A section of the electromagnetic radiation spectrum with wavelengths ranging from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm).

While shorter than radio waves, infrared waves are longer than visible light waves.

Infrared radiation has the ability to ease muscle tension and encourage local blood circulation.

Infrared radiation has been used in conventional medicine to treat conditions including autoimmune diseases and issues with wound healing in addition to relieving muscle pain and tension.

Infrared waves are shorter than radio waves but longer than visible light waves.

Thus, the correct option is A.

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Please help!!

A shopping bag can provide a force of 65 N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2 m/s/s, will the bag break?

Answers

Answer:

the bag DOES NOT BREAK,  F = 59 N

Explanation:

For this exercise, let's use Newton's second law, let's set a reference frame with the positive direction up

           F -W = m a

the mass of the groceries is m = 5 kg, the weight is

           W = m g

indicate the acceleration a = 2 m / s², let's find the force

          F = mg + ma

          F = m (g + a)

let's calculate

          F = 5 (9.8 + 2)

          F = 59 N

         

          F <65 N

as the force with which it pulls the bag less than the breaking force the bag DOES NOT BREAK

The components of a vector are:

A:Each equal to half the magnitude of the vector.

B:Independent of the orientation of the vector.

C:Perpendicular

D:None of the previous​

Answers

C : perpendicular

The component of a vector are perpendicular

explain the following observation referring to the appropriate process of heat transfer in each case


two cups of tea are poured at the same time . they are left for 10 minutes . one of the cups has a metal teaspoon left in it . the tea in this Cup is cooler than the tea in the other Cup at the end of the 10 minute period



Please answer correctly
Please help me!
Will give the brainliest!​

Answers

If the two cups are the same/equal in all regards the spoon makes the difference in heat loss. Metal spoon is a good conductor, heat conducts up the spoon handle. Radiant and convection losses occur in the surrounding air. Metal becomes a “heat sink”.

Spoon will feel warmer to the touch than a pottery or foam cup that is not a good conductor.

El Burj Khalifa es la torre más alta de Dubai y mide 821 m. Si se deja caer una moneda desde lo alto de la torre, ¿cuál es la magnitud de la velocidad con la que choca con el suelo?

Answers

Answer:

Vf = 126,85 m/s

Explanation:

En este caso, vamos a asumir que la velocidad inicial de la moneda cuando se deja caer es cero, puesto que no nos lo indican. Al ser la velocidad inicial cero, lo unico que influye en la velocidad de la moneda es la gravedad y la altura, por ende, la siguiente formula nos ayudará a calcularla:

Vf² = Vo² - 2gh   (1)

Pero como la velocidad inicial es cero, y si también asumimos que la dirección de bajada será nuestro eje positivo, entonces:

Vf² = 2gh   (2)

Ahora solo nos queda, reemplazar los valores de altura que es 821 m, y la aceleración de gravedad que es 9.8 m/s² y resolvemos la velocidad:

Vf² = 2 * 9,8 * 821

Vf = √16091,6

Vf = 126,85 m/s

Esta debería ser la velocidad con que llega al suelo.

Exitos

La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.

Si despreciamos los efectos de la viscosidad del aire y la aceleración de Coriolis, entonces el movimiento de la moneda se describe por el movimiento de caída libre, es decir, un movimiento uniforme acelerado debido a la gravedad terrestre. La velocidad final de la moneda es determinada por la siguiente ecuación cinemática:

[tex]v = \sqrt{v_{o}^{2}+2\cdot a\cdot h}[/tex] (1)

Donde:

[tex]v_{o}[/tex] - Velocidad inicial, en metros por segundo.[tex]a[/tex] - Aceleración, en metros por segundo al cuadrado.[tex]h[/tex] - Altura, en metros.[tex]v[/tex] - Velocidad final, en metros por segundo.

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]h = 821\,m[/tex], entonces la velocidad final de la moneda es:

[tex]v = \sqrt{\left(0\,\frac{m}{s} \right)^{2}+2\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (821\,m)}[/tex]

[tex]v\approx 126.898\,\frac{m}{s}[/tex]

La magnitud de la velocidad con la que choca con el suelo es aproximadamente 126.898 metros por segundo.

Invitamos cordialmente a ver esta pregunta sobre el movimiento en caída libre: https://brainly.com/question/16899214

A box of books weighing 315 N is shoved across the floor by a force of 477 N exerted downward at an angle of 35° below the horizontal. If the coefficient of kinetic friction between the box and the floor is 0.58, how long does it take to move the box 4.20 m starting from rest?

Answers

Answer:

It takes 1.14 s to move the box 4.20 m.

Explanation:

Using Newton's second law we have:

[tex]Fcos(35)-F_{f}=ma[/tex]

[tex]Fcos(35)-\mu mg=ma[/tex]

F is the force exerted and m the mass of the books

[tex]Fcos(35)-\mu mg=ma[/tex]

[tex]477cos(35)-(0.58*315)=\frac{315}{9.81}a[/tex]

So, the books accelerate at:

[tex]a=6.48\: m/s^{2}[/tex]

We know that the initial velocity is zero, so using the kinematic position equation, we have:

[tex]x=\frac{1}{2}at^{2}[/tex]

So, we just need to solve the equation for t.

[tex]4.2=\frac{1}{2}6.48t^{2}[/tex]

[tex]t=\sqrt{\frac{2*4.2}{6.48}}[/tex]

Taking the positive value of t:

[tex]t=1.14\: s[/tex]

Therefore, it takes 1.14 s to move the box 4.20 m.

I hope it helps you!

................produce pollen, which contains the male sex cells, or sperm.

Answers

Answer:

Anther....

My answers

The colors of various main sequence stars are shown below.

Which list correctly ranks these stars in order of increasing temperature?

Answers

Answer:

The answer is B.

Barnard’s star, Sun, Altair, Achernar

Explanation:

Remember the brighter the star the higher the temperature, Red being the oldest of the stars orange middle age, white stars ( getting to its ends can be also a dwarf star), and blue star being the youngest of the stars Also blue is the hottest star

Answer:

B

Explanation:

any two ways to reduce sound pollution

Answers

Answer:

use earplugs

stay away from noisy areas

lower the volume

Plz help me!!!!!!!! I will give you brainliest

Answers

Hi Kyle Jenner is cute

Which type of coolant(s) usually is (are) used to remove heat from a nuclear reactor core?
a.
water only
c.
liquid sodium or water
b.
liquid sodium only
d.
CFCs

Answers

Answer:

(B). Liquid sodium or water

Explanation:

I don't know how to explain this But hope it right!

If I'm wrong I'm sorry

If I'm right Thank you and (brainliest plz)

The density of an object can be found using
(A) Pascal's Law
(B)Hooke's Law
(C)Archimedes' Principle
(D)Principle of floatation

Answers

Principle of floatation.

Which of the following is an example of positive potential energy with reference to the floor? PLS HELP

Answers

Answer:

A

Explanation:

potential energy is usually at rest at the highest point in comparason to the ground

An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter

Answers

Answer:

b

Explanation:

because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air

hope this helps

please mark it brainliest

What is the current in a circuit that has a resistance of 75Ω and a voltage drop of 120V across the cell? (I'll give brainliest!)

Answers

Resistance  =  (voltage) divided by (current)

                                             =  (120 V)  /  (0.5 Amp)

                                             =          240 ohms .

disordered eating is often __________.

A.

an eating disorder that affects numerous teens

B.

caused by eating irregularly over short periods

C.

a precursor for developing a disorder, but not a disorder on its own

Answers

Answer:

B) caused by eating irregularly over short periods

Explanation:

Disordered eating refers to a range of irregular and unhealthy eating behaviors and attitudes toward food. Disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own

Disordered eating refers to a range of irregular eating behaviors and attitudes towards food that may not meet the full diagnostic criteria for an eating disorder but still involve disturbances in eating patterns, body image, and weight. It can include behaviors such as restrictive eating, binge eating, purging, or excessive exercise.

While disordered eating shares similarities with eating disorders, it is considered a precursor or warning sign that someone may be at risk of developing a diagnosable eating disorder, such as anorexia nervosa, bulimia nervosa, or binge eating disorder. Disordered eating patterns can often progress and become more severe if left untreated, potentially leading to the development of an eating disorder.

Thereofre, disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own.

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3. The pressure at the bottom of the ocean is great enough to crush submarines with steel walls that are 10 centimeters thick. Suppose a submarine is at a depth of 1,000 meters. The weight of water above each square meter of the submarine is 9,800,000 newtons.

Answers

Answer:

just awnsered this one your awnser is the the second option

Answer:

answer one

Explanation:

Calculate the amount of charge necessary to exert a force of 35 N in an electric field of 300 N/C.

Question 6 options:
A. 0.117 C
B. 1.17 C
C. 2.12 N/C
D. 0.21 N/C

Answers

Answer:

The amount of charge is "0.117 C" i.e., option A.

Explanation:

The given values are:

Force,

[tex]\vec{F}[/tex] = 35 N

Electric field,

[tex]\vec{E}[/tex] = 300 N/C

Charge,

q = ?

As we know,

⇒  [tex]\vec{F}=q\vec{E}[/tex]

On substituting the given values in the above formula, we get

⇒  [tex]35=q\times 300[/tex]

⇒   [tex]q=\frac{35}{300}[/tex]

⇒   [tex]q=0.117 \ C[/tex]

what is terrestrial magnetism​

Answers

Answer:

it the phenomenon which deals with earth's magnetic condition

Two examples of energy transformations are shown. At left, a floor lamp plugged into a wall electrical outlet. At right, a wood fire. The energy transformations are similar because they both involve transformations that begin with chemical energy. begin with electrical energy. result in radiant energy. result in mechanical energy.

Answers

Answer: C, result in radiant energy

Explanation:

Answer:

The answer is C; result in radiant energy.

Explanation:

Just took the test and got it right ;)

Oscillations of electricity and magnetism create ________________________ waves, which include visible light waves.

Answers

Explanation:

radio waves, which include visible light waves.

Storm water picks up pollutants off of these types of surfaces because they are not able to absorb rainfall

Answers

Answer:

True.

Explanation:

Rainwater cannot be absorbed by some surfaces. This prevents these water from infiltrating and traveling through this area, taking with it the potential pollutants that it may present, such as sediment, remains of fertilizers, bacteria, animal waste, pesticides, metals, among others. This causes a process that we can call Diffuse Pollution and can cover large areas and even bodies of water.

A line with a negative slope on a distance-time graph means the object is?​

Answers

Answer:negative slope or gradient I think

Explanation:

a line with any negative slope on a distance time graph means that the object is moving at a constant speed (if the line is straight) but in the reverse discretion.

Semi–conductors are materials that

Answers

Semi-conductors are materials that have conductivity between that of a conductor and a non-conductor (insulator).

Example: Silicon

Look at the equation below. What units are used for W? Give the full name, not the symbol.
Enter your answer
W = m x g

Answers

Answer:

the watt is a unit of power

The symbol W denotes the work done and m is the mass and g is the acceleration due to gravity. If m is in Kg and g has a unit of m/s². Then the unit Kg m/s² is equal to one joule J. That is the unit of work done.

What is work done?

Work done in physics is the dot product of force and displacement. Work done of one joule is equal to the force of one newton, exerted by an object of mass m and acceleration a.

Thus we have F = Ma.

If the acceleration is replaced by acceleration due to gravity g, then force of one Newton is mg, that is the product of mass and acceleration. Force is an external agent act on a body to change its state from rest or motion.

If the force applied causes a displacement of the object, then a work is done on the body. Let the mass is taken in Kg and acceleration due to gravity is in m/s², then one newton  is  Kg m/s² is equal to one joule J. Hence, W has the unit of Kg m/s² or J.

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Which one illustrates it?
A) III
B) II
C) I
D) IV

Answers

Circuit diagram number II

I) R=(4*8)/(4+8)=8/3 Ω

II) R=4+((4*4)/(4+4))= 6 Ω

III) R= 4/3 Ω

IV) the same as I: 8/3 Ω

Which planet has the least gravitational pull?

Answers

Answer:

Mercury

Explanation:

How does energy in the form of light photon travel through the many layers of the Sun?

Answers

Answer:Particles of light form from atoms undergoing nuclear fusion in the sun's innermost layer known as the core. The light then flows through the sun's interior for millennia, slowly bubbling up like water in a boiling pot. ... The view starts in the core of the sun where atoms fuse together to create light and energy.

Explanation: hope i helped

Light travels through the layers of the sun as particles called photons.

The sun is the principal source of energy in the universe. Energy from the sun is trapped by green plants and used in the process of photosynthesis.

Light travels through the layers of the sun as particles. These particles of light are called photons and they pass through the various layers of the sun.

Learn more about photons: https://brainly.com/question/24309591

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