Transverse waves on a string have wave speed v=8.00 m/s, amplitude A=0.0700m, and direction, and at t=0 the x-0 end of the wavelength -0.320m. The waves travel in the -x string has its maximum upward displacement. a) Find the frequency, period and wave number of these waves b) Write a wave function describing the wave c) Find the transverse displacement of a particle at x=0.360m at time t=0.150 d) How much time must elapse from the instant in part (c) until the particle at x-0.360 m next has maximum upward displacement?

Answers

Answer 1

Answer:

a. frequency = 25 Hz, period = 0.04 s , wave number = 19.63 rad/m

b. y = (0.0700 m)sin[(19.63 rad/m)x - (157.08 rad/s)t]

c.  0.0496 m

d. 0.03 s

Explanation:

a. Frequency, f = v/λ where v = wave speed = 8.00 m/s and λ = wavelength = 0.320 m

f = v/λ = 8.00 m/s ÷ 0.320 m = 25 Hz

Period, T = 1/f = 1/25 = 0.04 s

Wave number k = 2π/λ = 2π/0.320 m = 19.63 rad-m⁻¹

b. Using y = Asin(kx - ωt) the equation of a wave

where y = displacement of the wave, A = amplitude of wave = 0.0700 m and ω = angular speed of wave = 2π/T = 2π/0.04 s = 157.08 rad/s

Substituting the variables into y, we have

y = (0.0700 m)sin[(19.63 rad/m)x - (157.08 rad/s)t]

c. When x = 0.360 m and t = 0.150 s, we substitute these into y to obtain

y = (0.0700 m)sin[(19.63 rad/m)x - (157.08 rad/s)t]

y = (0.0700 m)sin[(19.63 rad/m × 0.360 m) - (157.08 rad/s × 0.150 s)]

y = (0.0700 m)sin[(7.0668 rad) - (23.562 rad)]

y = (0.0700 m)sin[-16.4952 rad]

y = (0.0700 m) × 0.7084

y = 0.0496 m

d. For the particle at x = 0.360 m to reach its next maximum displacement, y = 0.0700 m at time t. So,

y = (0.0700 m)sin[(19.63 rad/m)x - (157.08 rad/s)t]

0.0700 m = (0.0700 m)sin[(19.63 rad/m × 0.360 m) - (157.08 rad/s)t]

0.0700 m = (0.0700 m)sin[(7.0668 rad - (157.08 rad/s)t]  

Dividing through by 0.0700 m, we have

1 = sin[(7.0668 rad - (157.08 rad/s)t]

sin⁻¹(1) = 7.0668 rad - (157.08 rad/s)t  

π/2 = 7.0668 rad - (157.08 rad/s)t

π/2 - 7.0668 rad = - (157.08 rad/s)t

-5.496 rad = - (157.08 rad/s)t

t = -5.496 rad/(-157.08 rad/s) = 0.03 s

Answer 2

The frequency of the wave is 25 Hz, the period is 0.04 s, and the wave number of the given wave is 19.63 rad/m.

(A) Frequency of the wave,

[tex]\bold {f = \dfrac v{\lambda}}[/tex]

where

v - speed = 8.00 m/s

λ - wavelength = 0.320 m

[tex]\bold {f = \dfrac {8.0 m/s }{0.32\ m} = 25\ Hz}[/tex]

Period of the wave,

[tex]\bold {T = \dfrac 1f = \dfrac 1{25 } = 0.04\ s }[/tex]

Wave number of the wave,

[tex]\bold {k = \dfrac {2\pi }{\lambda} = \dfrac {2\pi }{0.320} = 19.63\ rad\ m^{-1}}[/tex]

(B)

Wave function equation of a wave,

y = A sin (kx - ωt)

where

y - displacement of the wave

A = amplitude  = 0.0700 m

ω = angular speed  = 2π/T = 2π/0.04 s = 157.08 rad/s

Put the values in the formula,

y = (0.0700 m)sin[(19.63 rad/m)x - (157.08 rad/s)t]

(C) When x = 0.360 m and t = 0.150 s,

y = (0.0700 m)sin[(19.63 rad/m × 0.360 m) - (157.08 rad/s × 0.150 s)]

y = 0.0496 m

Therefore, the frequency of the wave is 25 Hz, the period is 0.04 s, and the wave number of the given wave is 19.63 rad/m.

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Related Questions

To which category does galaxy #4 belong? Why does it belong in this category?

Answers

Answer:

The Galaxy IV satellite belongs to the HS-601 model category. It was engineered by Hughes Space and Communications Company (HSC)

Explanation:

The Galaxy IV belong in this category because it is a communications satellite. It was built for direct television broadcasting, for private business networks and mobile communications.

Cheers!

quick question plz.........If force acting on a body of mass 40kg is doubled. By how much will be the acceleration change?

A. By a factor of 2

B. By a factor of 3

C. By a factor of 4

D. remains the same

Answers

Answer:

if i'm not mistaken the answer is A

The new acceleration will be increase by the factor of 2. Hence, option (A) is correct.

Given data:

The mass of body is, m = 40 kg.

We can use the Newton's second law to obtain the result of given problem. As per the Newton's second law, "The force applied by the given object is equal to the product of mass of object and the magnitude of acceleration of object". Then the expression is,

F = ma

a = F/m .....................................................................(1)

Here,

F is the force.

m is the mass.

a is the acceleration.

if the force acting in the mass of body of 40 kg is doubled. Then new acceleration will be,

F' = ma'

(2F) = ma'

2(F/m) = a'

From equation (1) we get,

a' = 2a

Thus, we can conclude that the new acceleration will be increase by the factor of 2. Hence, option (A) is correct.

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A ray of light traveling parallel to the principal axis of a concave mirror will be
reflected out through the mirror's
please help

Answers

Answer:

A ray of light traveling parallel to the principal axis of a concave mirror will be reflected out through the mirrors

Explanation: When a ray travelling parallel to the principle axis of a concave mirror then the light ray reflect out through the mirrors and passing through the focus.

Explanation:

Answer:

I hope this is the correct answer to your question, because ur question seems kinda wrong to me.

Explanation:

* when a ray of light traveling parallel to the principal axis of a concave mirror will be reflected out through the surface of the  mirror  and then passes through the focus .

What activity level should participants be in when exercising in their target heart rate zone

Answers

Answer:

La frecuencia cardíaca objetivo durante las actividades de intensidad moderada es aproximadamente del 50 al 70% de la frecuencia cardíaca máxima, mientras que durante la actividad física intensa es de, aproximadamente, entre el 70 y el 85% del valor máximo.

Indicar verdadero (V) o falso (F) con respecto al movimiento parabólico : la componente horizontal de la velocidad permanece constante. ( ) la componente vertical de la velocidad puede ser nula en un instante. ( )  La velocidad en todo momento es tangente a la trayectoria. ( )

Answers

Answer:

a) true, b) true, c) false

Explanation:

Este ejercicio de cinemática se pide revisar varias afirmaciones

a) Cierta.  La velocidad horizontales consta

b) cierto.  La velocidad vertical disminuye hasta llegar a cero en su altura máxima, la aceleración es negativa

C) False.   Si la velocidad es tangente a la trayectoria el movimiento debe ser circular, pero este movimiento es parabólico

Traduction

This exercise in kinematics asks you to review several statements

a) true. The horizontal speed consists

b) true. The vertical speed decreases until it reaches zero at its maximum height, the acceleration is negative

C) False. If the speed is tangent to the path, the movement must be circular, but this movement is parabolic.

With respect to parabolic motion:

the horizontal component of the velocity remains constant is Truethe vertical component of the velocity can be null in an instant is True since the velocity changes with time due to gravitation acceleration. At the highest point of the projectile trajectory, the vertical velocity becomes zero.Speed at all times is tangent to the trajectory is True. The parabolic path of the trajectory is because of the changing vertical velocity.

Con respecto al movimiento parabólico:

La componente horizontal de la velocidad permanece constante es True la componente vertical de la velocidad puede ser nula en un instante es True ya que la componente vertical de la velocidad cambia con el tiempo debido a la aceleración de la gravitación. En el punto más alto de la trayectoria del proyectil, la velocidad vertical se vuelve cero. La velocidad en todo momento es tangente a la trayectoria es Verdadera. La trayectoria parabólica de la trayectoria se debe a la velocidad vertical cambiante.

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A softball player moving 3.89 m/s
starts a slide, decelerating at -1.44 m/s2
for 4.80 m. How much time does the
slide take?

Answers

Answer:

0.119 s

Explanation:

Given that

[tex]U=3.89\ m/s\\a=-1.44\ m/s^2\\S=4.8\ m[/tex]

Lets take final speed of the softball after covering 4.8 m = V

We know that

[tex]V^2=U^2+2aS\\V^2=3.89^2-2\times 1.44\times 4.8\\V=3.7\ m/s[/tex]

Also We know that

[tex]V=U+at\\[/tex]

Putting the value of V ,U and a in the previous equation  We get

[tex]3.7=3.89-1.44\times t\\t=0.119\ s[/tex]

Therefore slide time will be 0.119 s

Answer:

1.9

Explanation:

I am on acellus and thats the right answer lol

HELLLP PLEASE || the graph below shows a conversion of energy for a skydive jumping out of a plane and landing safely on the ground. which energy is represented by line A? A) Potential B) Thermal C) Kinetic D) Total Energy

Answers

Answer: If i'm not mistaken I think it A) potential


Which property of argon is used in light bulbs?

Answers

Answer:

Argon belongs to zero group, i.e., is a noble gas and thus is inert. Hence it will not react with the hot filaments. Hence it is used in fluorescent and incandescent light bulbs to stop the oxygen in the light bulbs from corroding the hot tungsten filament.

Explanation:

Which refers to a measure of how acidic or basic a solution is? a]pH b]solubility c]reactiveness d]hardness

Answers

Answer:

Option(a) i.e" pH" is the correct answer to the given question .

Explanation:

The main objective of pH value is to determining whether the solution is the acidic or the basic solution.The pH is determining the solution whether it is basic or acidic with the help of there pH value .The range of the pH value is from 0 to 14 with the following parameter it determines whether the solution is basic ,acidic or the neutral solution  .

If pH value is 7 then it is neutral solution   .If pH value is greater then 7 then the solution is then it is basic solution .If the pH value is less then 7 then the solution is the Acidic solution .

All the other option are not determining that whether the solution is acidic or the basic solution that's why these are incorrect option .

Answer:

the answer is A pH

got it right 2020

Explanation:

At what point on a roller coaster is the kinetic energy increasing? As it is going down the hill. At the top of the hill. As it is climbing the hill. At the bottom of the hill.

Answers

Answer:

As it is going down the hill

Explanation:

Answer:

As it is going down the hill.

Which of the following represents the equation of motion of a steel ball thrown into a viscous liquid when it is moving with an acceleration a ?(A) W-V-U=ma (B)W-U=ma-V (C)W-U-V=0 (D)U-V=W

Answers

Answer: A

Explanation: When a steel ball is thrown into a viscous liquid, three forces will act on the ball.

1.) The viscous drag force V which is acting upward

2.) The buoyant force U which is acting upward and

3.) The weight of the ball W. Which is acting downward.

When it is moving with an acceleration a, the weight W will be greater than U and V

Since Force = ma.

The resultant vector force will be

W - V - U = ma

A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is 0.300 m. A damping force Fx=−bvxF



x



​



=−bv



x



​



acts on the egg, and the amplitude of the motion decreases to 0.100 m in 5.00 s. Calculate the magnitude of the damping constant b.

Answers

Answer:

The correct answer will be "0.022 kg/s".

Explanation:

The given values are:

Initial amplitude,

A₁ = 0.3 m

Final amplitude,

A₂ = 0.1 m

Mass of a egg,

m = 50.0 g i.e., 0.050 kg

Time,

t = 5 sec

As we know,

⇒  [tex]A_{2}=A_{1}e^{(-\frac{b}{2m})t}[/tex]

So that, the damping constant will be:

⇒  [tex]b=\frac{2m}{t} log \frac{A_{1}}{A_{2}}[/tex]

On putting the estimated values, we get

⇒  [tex]b=\frac{2\times 0.050}{5}log \frac{0.3}{0.1}[/tex]

⇒     [tex]=\frac{0.1}{5} log \frac{0.3}{0.1}[/tex]

⇒     [tex]=0.02 \ log 3[/tex]

⇒     [tex]=0.0219 \ kg/sec \ or \ 0.022 \ kg/s[/tex]

a book with a mass of 1.8 kg sits on a bookshelf. if it has a gravitational potential energy of 42 J, how high is the Shelf? The acceleration of the gravity is 9.8 m/s^2. A) 2.1 B) 2.4 C) 1.6 D) 0.9

Answers

Answer:

23 m

Explanation:

h = 42 J/1.8 kg = 23 m

The shelf is 2.4 m high.

What is the height of the shelf?

PE = mgh where m is the mass, g is gravity, and h is the height from which the object can potentially fall. We are given enough info here to solve for h. Filling in:

42 = 1.8(9.8)h and

and rounding to 2 sig fig's as we need:

h = 42 / (1.8)(9.8)

h = 2.4 m

The formula for potential energy depends on the force acting on the two objects. For the gravitational force, the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

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I NEED HELP PLEASE, THANKS! :)
A positively charged light metal ball is suspended between two oppositely charged metal plates on an insulating thread as shown below. After being charged once, the plates are disconnected from the battery. Describe the behavior of the ball.

Answers

Answer:

The ball will be attracted to the negatively charged plate. It'll touch and pick up some electrons from the plate so that the ball becomes negatively charged. Immediately the ball is repelled by the negative plate and is attracted to the positive plate. The ball gives up electrons to the positive plate so that it is positively charged and suddenly attracts to the negative plate again, flies over to it and picks up enough electrons to be repulsed by negative plate and again to the positive plate and that continues.

The behavior of the ball will be like a pendulum kind of motion swinging between the two charged plates.

The positive ball would go toward the negatively charged plate first. After which, it would lose the positive charge and becomes negatively charged. Due to the negative charge, it will repel the negatively charged plate and will start traveling towards the positive plate this time.  

   

The process would continue which will create a pendulum kind of motion for the charged light metal ball between the plates, and this will continue until either of the one the positive or the negative plate became neutral (discharged).

Hence, the behavior of the ball will be like a pendulum kind of motion swinging between the two charged plates.

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10). Three - fourth of the volume of a block which is floating in water extends above the surface
of the water. What is the density of the block?​

Answers

Answer:

Explanation:

Fill the graduated cylinder partially with water to a level where you can submerge the object and drop the sinker weight into the water. If you don't have a graduated cylinder to fit your object, put a cylinder in a basin, fill it to the top with water and measure the overflow into the basin. Your answer will be less accurate because of the number of times the water has been moved. Note the amount of displacement in milliliters (ml) caused by the sinker and string.

Measure the mass of your object (say a cork) on a balance scale in grams (g). Be sure the object is dry when it is measured. Record its weight. Attach the sinker with the string to the object. If you use a staple or pin, be sure to include that when you measure the displacement of the sinker in step one.

2. A wave on a rope has a wavelength of 2.0 m and a frequency of 2.0 Hz. What is the speed of the
wave?
step# 1
step#2
step#3​

Answers

Answer:

4 m/s or 4 meters per second.

Explanation:

In order to calculate the speed of wave, you multiply the wavelength in meters and the frequency of the Wave in Hertz. 2 times 2 equals 4. The wave speed is always in m/s considering that the wavelength is also in meters.

Which form of government shares goods and services equally, and the political power is disturbing among the people?

Answers

Answer:

Socialist

Explanation:

Answer: socialist

Explanation: A socialist form of government is where the goods and services are equally shared, and the political power is distributed among the people.

Consider a single slit that produces a first-order minimum at 16.5° when illuminated with monochromatic light. show answer No Attempt 50% Part (a) At what angle, in degrees, is the second-order minimum?

Answers

Answer:

[tex]\theta_2 = 34.61^0[/tex]

Explanation:

Path difference for the destructive interference of a single slit:

[tex]D sin \theta = n \lambda[/tex]

For the first - order minimum, n = 1, and [tex]\theta = \theta_1[/tex]

[tex]D sin \theta_1 = \lambda[/tex].........(1)

For the second - order minimum, n = 2,  and [tex]\theta = \theta_2[/tex]

[tex]D sin \theta_2 = 2 \lambda[/tex].........(2)

Dividing equation (2) by equation (1):

[tex]\frac{D sin \theta_2}{Dsin \theta_1} = \frac{2 \lambda}{\lambda} \\\frac{ sin \theta_2}{sin \theta_1} = 2 \\\theta_1 = 16.5^0\\\frac{ sin \theta_2}{sin 16.5} = 2\\sin \theta_2 = 2 sin 16.5\\sin \theta_2 = 0.568\\\theta_2 = sin^{-1} 0.568\\\theta_2 = 34.61^0[/tex]

A stone is dropped from a tower of height 3600cm.Find the velocity by which it strike the ground.Also,find the time taken to reach the ground.​

Answers

Answer:

Explanation:

Here h=36m, a=g=10m/s, u=0

Use s=ut+(1/2)at^2

36=0*t+(10t^2)/2

time=2.68 sec

As from the formula of final velovity, v=(2gh)^1/2

v=(2*10*36)^1/2

v=(720)^1/2

v=26.83………This is the final velocity

Answer:

Explanation:

s = vit + 1/2 gt*2

36 = 0 + 1/2 x 9.8 x t*2

t*2 = 7.34

t = 2.7sec

now,

2gs = vf*2 - vi*2

2 x 9.8 x 36 = vf*2 - 0

vf*2 = 705.6

vf = 26.5m/s

Garret, Melody and Tony start their school day with brand new pencils. By the end of the day, they want to see who used his or her pencil the most. They decide that the shortest pencil will be the most used, and the longest pencil would be the least used. How should the students determine which pencil was used the most?

Answers

HELLO MATE

HERE IS YOUR ANSWER

THEY SHOULD COMPARE THE LENGTH OF PENCILS WITH EACH OTHER .

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME ......

What are the four main reasons as to why, despite having an abundance of minerals and natural resources, Pakistan has been unable to realize its potential and has not been able to succeed like other countries having similar resources?



please answer me I am so much worry I will mark you as brainy and follow you also​

Answers

Answer:

GDP growth rate is low

Political instability

Lack of technical skills due to low literacy rate

Pressure from neighboring countries

Explanation:

Gross Domestic Product growth rate of Pakistan is much lower than many developed countries. The GDP growth rate for Pakistan is nearly 5% which is not even stable and it variate from plans. Due to which Pakistan is unable to use its available resources to the fullest. Also one of major issue is political instability in the country. After the loss of great leader Quaid e Azam Pakistan has not faced any loyal leader till date.

Noise pollution, health issues, lack of provision of basic necessities to many are few other factors which give rise to poor law and order situation in the country. Lack of availability of heavy machinery and poor infrastructure has contributed to the country decline. There is abundance of natural resources in the country but due to these issues the country is unable to deal with the challenges.

The pressures from neighboring countries have made the situation even worst. The heavy loan burden is restricting the country from development. The covenants imposed by the lenders have limited the country's ability to use its natural resources and become stable.

What does your body do with nutrients during the digestion process?

Answers

Answer:

the correct answer is

Explanation:

The small intestine absorbs most of the nutrients in your food,and your circulatory system passes them on to other parts of your body to store or use. Special cells helped absorbed nutrients cross the intestinal lining into your blood stream.

hope this works out!!!!

How far away is a RR Lyrae variable star if it has a period of 0.5 days and a brightness of 2.3 x 10^-11 W/m^2?

Answers

Answer:

The answer is d =10^6.43 Mpc

Explanation:

Solution

To calculate the absolute magnitude of the star, we apply or use the relation with the period

Mv = - [ 2.76 (log₁₀ (P) - 1.0)] -4.16

Here P =+ 0.5 days

Mv = - 0.569

To calculate m, we have the following relation given below:

Mₓ = - 2.5 Log₁₀ (Fₓ/Fₓ,0)

Fₓ,0 = 1 w/m² (This is assumed)

Fₓ = 2.3 * 10^-11 W/m^2 (Given)

Thus

Mₓ = - 2.5 Log₁₀ (2.3 * 10^ ⁻11

Mₓ = 26.595

Now, applying the formula we have the following given below:

d = ₁₀ ( Mₓ -Mv + 5)/5

d =₁₀ (26.595 - 0.569 +5)/5

d =10^6.43 Mpc

What is a small sacle industry?​

Answers

Small enterprises who manufacture goods or services with the help of relatively smaller machines and a few workers and employees

Si observamos un incremento de temperatura en un termómetro de 24 oC, ¿a cuántos grados Fahrenheit corresponde dicho incremento? ¿Y si el incremento de temperatura fuese de 24 K?

Answers

Responder:

24 ° C = 75.2 ° F 24K = -416.47 ° F

Explicación:

La fórmula se utiliza para convertir grados Celsius (° C) en grados Fahrenheit (° F).

x ° C = (y ° F - 32) × 5/9.

Convertir 24 ° C a Fahrenheit

24 = (y ° F - 32) × 5/9.

24 * 9 = 5 (y ° F-32)

216 = 5 años ° F-160

5 ° F = 216 + 160

5 ° F = 376

y ° F = 376/5

y ° F = 75.2

24 ° C = 75.2 ° F

Para convertir Kelvin a Fahrenheit, usaremos la expresión;

(K - 273.15) × 9/5 + 32

Dado K = 24kelvin

24K a ° F = (24− 273.15) × 9/5 + 32

= -249.15 (9/5) + 32

= -448.47 + 32

= -416.47 ° F

24K = = -416.47 ° F

The tissue of living organisms does not contain solid metal, like a copper wire or a zinc plate. However, electric current flows through nerves and muscles. How does current flow through living tissue?

Answers

Answer:

The human body contains certain elements such sodium, potassium, calcium, chlorine, and magnesium which possess specific electrical charges. These charged particles, called ions are obtained in our diet and are used by the body to generate electrical signals through their flow in and out of the cells.

Explanation:

The human body contains certain elements such sodium, potassium, calcium, chlorine, and magnesium which possess specific electrical charges. These charged particles, called ions are obtained in our diet and are used by the body to generate electricity by allowing them in or out of the cells. Thus, the flow of these ions through the body is the source of electricity in our bodies.

The cell membrane acts as a barrier separating these charges inside and outside the cells. Resting cells are negatively charged on the inside, while the outside environment is more positively charged. This is due to a difference in concentration  between positive ions e.g. Na⁺ and K⁺ , and negative ions e.g. Cl⁻, inside and outside the cell. This separation of charges sets up a potential difference across the membrane known as membrane potential.

The flow of ions in and out of the cell is regulated by special proteins called ion channels. When impulse is received from the brain or other sensory receptors, positive charges flow into the cell through open ion channels in a process known as depolarization of the cell membrane. The depolarization of the cell triggers further electrical currents that can turn into electrical pulses, called action potentials. These action potentials occur at nerves and muscle (neuromuscular) junctions and are responsible for the different external responses we give to stimulus, like blinking of the eye, muscle contractions, heartbeats as well thought processes etc. Certain hormones and chemicals known as neurotransmitters are also involved in this process e.g. epinephrine, norepinephrine.

I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)

Answers

Explanation:

1st- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. 

2nd- states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. (most important law)

3rd- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. (law of action/reaction)

a rollercoaster car is moving 19.8 m/s on flat ground when it’s hits the brakes. it decelerates at -3.77 m/s^2 over the next 45.8 m. how much time does it take?

Answers

Answer:

3.44 s

Explanation:

Given:

Δx = 45.8 m

v₀ = 19.8 m/s

a = -3.77 m/s²

Find: t

Δx = v₀ t + ½ at²

45.8 = 19.8 t + ½ (-3.77) t²

45.8 = 19.8 t − 1.885 t²

1.885 t² − 19.8 t + 45.8 = 0

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 19.8 ± √((-19.8)² − 4 (1.885) (45.8)) ] / 2(1.885)

t = [ 19.8 ± √(392.04 − 345.332) ] / 3.77

t = 3.44 or 7.06

The first time, 3.44 seconds, is correct.

The second time is the time it would take the car to return to 45.8 m if it continued decelerating after stopping.

Electrons are emitted form a certain metal with a maximum kinetic energy of 2 eV when 6-eV photons are inicident on its surface. What is the maximum kinetic energy of electrons emitted if photons of twice the wavelength are inicdent on this metal? Explain your answer

Answers

Answer:

The energy of the light is not higher than the work function. Then, the electrons are not emitted.

Explanation:

In order to calculate the maximum kinetic energy of the electrons for  photons of twice the wavelength of the light, you first calculate the wavelength of photons with energy of 6eV. You use the following formula:

[tex]E_p=h\frac{c}{\lambda}[/tex]      (1)

c: speed of light = 3*10^8 m/s

λ: wavelength of the light

h: Planck's constant  in eV.s = 4.135*10^-15 eV.s

E: energy of the photons = 6eV

You solve the equation (1) for λ:

[tex]\lambda=\frac{hc}{E}=\frac{(4.135*10^{-15}eV)(3*10^8m/s)}{6eV}\\\\\lambda=2.06*10^{-7}m[/tex]

Next, you calculate the energy of photons with twice the wavelength:

[tex]E_p'=h\frac{c}{2\lambda}=(4.135*10^{-15}eV)\frac{3*10^8m/s}{2(2.06*10^{-7}m)}\\\\E_p'=3.0eV[/tex]

Next, you calculate the work function of the metal by using the equation for the photo electric effect:

[tex]K=E_p-\Phi[/tex]       (2)

Ф: work function

Ep: energy of the photons = 6eV

K: kinetic energy of emitted electrons = 2eV

You solve for Ф:

[tex]\Phi=E_p-K=6eV-2eV=4eV[/tex]        (3)

Finally, you calculate the kinetic energy of the emitted electron by the metal when the light with energy Ep' is used:

[tex]K=E_P'-\Phi=3.0eV-4eV[/tex]

It is clear that for a light with energy 3.0eV has an energy lower than the work function of the metal, then, the electrons are not emmited by the metal

PLEASE ANSWER FOR BRAINLIEST!! A guitar string vibrates with a frequency of 4 kHz. What is the period of the waves in seconds?

Answers

Answer:

T = 0.00025 secs

Explanation:

Given:

Frequency = 4 kHz = 4000 Hz

Required:

Time Period = ?

Formula:

T = 1/f

Solution:

T = 1/4000

T = 0.00025 secs

Answer:

0.00025 seconds

Explanation:

Time period = 1 / frequency

= 1/4000

= 0.00025 seconds

Hope this helps, and please mark me brainliest if it does!

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