The mass of a string is 20 g and it has a length of 3.2 m. Assuming that the tension in the string is 2.5 N, what will be the wavelength of a travelling wave that is created by a sinusoidal excitation of this string with a frequency of 20 Hz. Provide the wavelength in units of m. Please note: You do not include the units in your answer. Just write in the number.

Answers

Answer 1

Answer:

The wavelength of the wave is 1 m

Explanation:

Given;

mass of the string, m = 20 g = 0.02 kg

length of the string, L = 3.2 m

tension on the string, T = 2.5 N

the frequency of the wave, f = 20 Hz

The velocity of the wave is given by;

[tex]v = \sqrt\frac{T}{\mu} {}[/tex]

where;

μ is mass per unit length = 0.02 kg / 3.2 m

μ = 6.25 x 10⁻³ kg/m

[tex]v = \sqrt{\frac{T}{\mu} } \\\\v = \sqrt{\frac{2.5}{6.25*10^{-3}} } \\\\v = 20 \ m/s[/tex]

The wavelength of the wave is given by;

λ = v / f

λ = (20 m/s )/ (20 Hz)

λ = 1 m

Therefore, the wavelength of the wave is 1 m


Related Questions

The current in an electric hair dryer is 12A. How many electrons flow through the hair dryer in 5.2 min ?

Answers

"Ampere" means 1 coulomb of charge every second.

12A means 12 coulombs of charge every second.

5.2 minutes = (5.2) x (60 seconds) = 312 seconds

12A for 312 seconds means (12) x (312)  = 3,744 coulombs of charge

1 coulomb is the amount of charge carried by 6.24 x 10¹⁸ electrons .

So 12A for 312 seconds means (3,744) x (6.24 x 10¹⁸) electrons.

That's  2.336 x 10²² electrons .

or  23,360,000,000,000,000,000,000 electrons .

(rounded to the nearest 10 quintillion).  

If you push a book 1.5 m across a table using a constant force of 10.0 N, how much work do you
do on the book?

Answers

Answer:

The answer is

15.0 J

Explanation:

To calculate the work done by a body we use the formula

work done = force × distance

From the question

force = 10 N

distance covered = 1.5 m

So the work done is

work done = 10 × 1.5

We have the final answer as

15.0 J

Hope this helps you

The position of a particular particle as a function of is given by r=(8.5t i+5.6j-2tk )m (a) Determine the particle’s velocity and acceleration as a function of time.
(b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s.

Answers

Answer:

use google to find answer

Explanation:

69 69 69 69 69 69

The bird that migrates the farthest is the Arctic tern. Each year, the Arctic tern travels
32,000 km between the Arctic Ocean and the continent of Antarctica. Most of the
migration takes place within two four-month periods each year. Assume an Arctic
tern completes the second half of its annual migration distance in 122 days. Also
assume that during this time the tern flies directly north. If the tern flies the same
distance each day, what is its velocity in kilometers per day?

Answers

Answer: 131.14km per day

Explanation: since the second half of the terns migration takes 122 days we can assume that the full migration would take 244 days. using this we can divide the total distance by the total amount of days it takes (because speed = distance/time) which is 32,000/244, which would be 131.14

Which term describes the tendency of an object to resist changes in motion?
A) reaction
B) force
C) inertia
D) acceleration

Answers

That would be C) inertia

Answer:

inertia

Explanation:

Car wheel's slip in mud. why?

Answers

Answer:

Because its wet

Explanation:

the more you spin the car wheels the more slippery it gets

a battery-operated car moves forward as a result of which device?

Answers

Answer:

the wheels

Explanation:

Answer:

depends..

Explanation:

it can be Electromagnet or generator or a motor

why is force required to move an object

Answers

Answer:

Force is the push or pull exerted on an object to make it move.

Without force , an object will remain in it's position

Newton's first law of motion proves this. And it states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Explanation:

Newton's second law of motion describes how force is related to mass and acceleration, and this relationship is used to calculate force. In general, the greater the mass of the object, the greater the force needed to move that object.

If all other things remain equal, which of the following changes to a closed circuit
would result in increased resistance to the flow of electric current?
Reducing the temperature of the conductor
Reducing the thickness of the conductor
Replacing the conductor with a more conductive material
Reducing the length of the conductor

Answers

Answer:

the answer is b reducing the thickness of the conductor

Explanation:

The resistance to electric current increases as the cross-section of the conductor is reduced, as the conductor is lengthened, and as the conductor is heated. Replacing the conductor with a less-conductive material increases the resistance as well.

Answer:

Reducing the thickness of the conductor

Explanation:

A long, thin, insulated wire carries a current I1=1A out of the plane of the paper. The wire is surrounded by a long cylinder of radius a=12cm. The cylinder carries a current I2=9A that is unformly distributed over its cross section and flows into the plane of the paper.
Find the radius r at which the amgnetic field is zero.

Answers

Answer:

The magnetic field is zero at a radius r = 4 cm.

Explanation:

The magnetic field due to the wire is given by B₁ = μ₀I₁/2πr where I₁ = current in wire = 1 A and r = distance of point where magnetic field is zero from wire.

Now, since the current is uniformly distributed in the cross section of the cylinder, its current density is constant.

So, with current I₂ = 9 A flowing in the cylinder and radius, a = 12 cm. Let I' = current at radius r where the magnetic field is zero. So,

I'/πr² = I₂/πa²

I' = I₂r²/a²

Using Ampere's Law, the magnetic field B₂ at the distance r is given by

∫B.ds = μ₀I'

∫Bdscos0 = μ₀I' (since the magnetic field is parallel to the path)

B∫ds = μ₀I'   ∫ds  = 2πr

B2πr = μ₀I'

2Bπr = μ₀I₂r²/a²

B₂ = μ₀I₂r/2πa²

So, when the net magnetic field is zero, B₁ = B₂

So,  μ₀I₁/2πr = μ₀I₂r/2πa²

I₁/r = I₂r/a²

I₁/I₂ = r²/a²

r² = I₁/I₂a²

taking square root of both sides,

r = a√(I₁/I₂)

substituting the values of the variables, we have

r = 12√(1/9)

r = 12/3

r = 4 cm

The magnetic field is zero at a radius r = 4 cm.

ball is thrown vertically upward from an initial position 5m above the ground. At the same time, a cube is released from rest down aslippery incline, from an unknownheight. The two objects reach the ground at the same instant, and both have a final speed of 15m/s. What is the angle ofthe incline

Answers

Answer:

The value is [tex]\theta = 34.8 ^o[/tex]

Explanation:

Generally the time it takes the ball to move from maximum height to the ground is

[tex]t = \frac{v - u}{g}[/tex]

Here u= 0 m/s and v = 15 m/s

So

[tex]t = \frac{15 - 0}{9.8}[/tex]

=> [tex]t = 1.53 \ s [/tex]

Generally the maximum height traveled in time t is mathematically represented as

[tex]s = u * t + \frac{1}{2} * g * t^2[/tex]

=> [tex]s = 0 * 1.53 + \frac{1}{2} * 9.8 * 1.53^2[/tex]

=> [tex]s = 11.5 \ m [/tex]

The interval in distance between the maximum height and the initial position of the ball is

[tex]d = s - k[/tex]

Here k = 5 m (given)

[tex]d = 11.5 - 5[/tex]

[tex]d = 6.5 \ m [/tex]

Generally from the kinematic equation we have that

[tex]d = ut_1 + \frac{1}{2} g * t_1 ^2[/tex]

Here [tex] t_1 [/tex] is the time taken to travel through d

[tex]t_1 = \sqrt{ \frac{2 * d }{g} }[/tex]

=> [tex]t_1 = \sqrt{ \frac{2 * 6.5 }{9.8} }[/tex]

=> [tex]t_1 = 1.15 \ s [/tex]

Generally the total time for this fight is mathematically represented as

[tex]t_f = t + t_1[/tex]

=> [tex]t_f = 1.15 + 1.53[/tex]

=> [tex]t_f = 2.68 \ s [/tex]

Generally the vertical force exerted on the cube is mathematically represented as

[tex]F = m * g * sin (\theta )[/tex]

=> [tex] m * a = m * g * sin (\theta )[/tex]

=> [tex] a = g * sin (\theta )[/tex]

Now a is mathematically represented as

[tex]a = \frac{v - u }{t_f}[/tex]

=> [tex]a = \frac{15 - u }{2.68}[/tex]

=> [tex]a = 5.597 \ m/s^2[/tex]

So

[tex] 5.597 = 9.8 * sin (\theta )[/tex]

[tex]\theta = sin^{-1} [\frac{5.597}{9.8} ][/tex]

[tex]\theta = 34.8 ^o[/tex]

20. Convert 36 km/hr to m/s.

Answers

The answer would be 10

Which is a benefit of using synthetic polymers, such as nylon?
Synthetic polymers are lightweight.
O Synthetic polymers are produced in small
quantities.
Synthetic polymers are biodegradable.
Synthetic polymers are inexpensive to recycle.

Answers

Answer: Synthetic polymers are lightweight.

Explanation:

A  benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.

A polymer is a molecule composed of many repeating subunits.

Synthetic polymers are artificial polymers created by humans.

Most of the synthetic polymers are not biodegradable (unlike natural fibers such as cotton).

Synthetic polymers are classified according to their use into plastics, elastomers and synthetic fibers.

The advantages of synthetic polymers include: hard to break, being lightweight, and they last for a long time.

In conclusion, a benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.

Learn more in:

https://brainly.com/question/4047007?referrer=searchResults

Which of the following is not one of the emotional expressions that are universally recognized?
OA. Happiness
OB. Disgust
OC. Sadness
OD. Love
HELPP!

Answers

Answer:

B

Explanation:

The answer should be B.

A 6.0-μF air-filled capacitor is connected across a 100-V potential source (a battery). After the battery fully charges the capacitor, it is left connected and the capacitor is immersed in transformer oil, which has a dielectric constant of 4.5. How much additional charge flows from the battery onto the capacitor during this process? Group of answer choices

Answers

Answer:

Change in Q = 2.1x 10^-3 C

Explanation:

We are given that

The Initialcapacitance C1 = 6.0μF

Initial charge oncapacitor

Q1 = C1 V

= 6.00 x 10^-6 x 100

= 6.00 x 10^-4 C

So the Final capacitance C2 will be

= K x C1 = 4.5 x 6.00 x 10^-6

= 2.7 x 10^ -5 F

So to get Finalcharge

We use Q2 = C2 x V

= 2.7 x 10^ - 5 x 100

= 27 x 10^ -4 C

So Charge flown in thecapacitor is change in Q

Which is = Q2 - Q1

= 27 x 10^-4 - 6.0 x 10^ -4

Change in Q = 2.1x 10^-3 C

Enunciado: Una bola se lanza verticalmente de la parte superior de un edificio con una velocidad inicial de 25 m/s. La bola impacta al suelo en la base del edificio 7 segundos después de ser lanzada. (Marque la respuesta correcta)

¿Qué altura subió la bola (medida desde la parte superior del edificio)? a) 19.6 m b) 12.75 m c) 31.88 m d) 40 m e) 20 m

Answers

Responder:

Explicación:

Usaremos la ecuación de movimiento para determinar la altura de la bola medida desde la parte superior del edificio.

Usando la ecuación para obtener la altura de caída

S = ut + 1 / 2gt²

u es la velocidad inicial = 25 m / s

g es la aceleración debida a la gravedad = 9,81 m / s²

t es el tiempo = 7 segundos

S es la altura de la caída

S = 25 (7) +1/2 (9,81) × 7²

S = 175 + 4,905 (49)

S = 175 + 240,345

S = 415,35 m

Esto significa que la pelota se elevó a 415,35 m de altura

La altura vertical máxima alcanzada es de 31,88 m.

Tenemos la siguiente información de la pregunta;

Velocidad inicial = 25 m/s

Velocidad final = 0 m/s (a la altura máxima)

tiempo empleado = 3,5 minutos (el tiempo empleado para subir y bajar es igual).

Usando la ecuación;

v^2 = u^2 - 2gh

Dado que v = 0

u^2 = 2gh

h = tu^2/2g

h = (25)^2/2 *9.8

h = 31,88 m

Obtenga más información sobre las ecuaciones de movimiento: https://brainly.com/question/8898885

which is an example of a vector quantity
A.time
B.speed
C. acceleration
D. distance

Answers

Answer:

The answer to your question is C

Explanation:

acceleration is a vector quantity because it has both magnitude and direction

Which of the following is not a type of kinetic energy

Answers

Where is the picture

Problem 1: If a car is traveling at a speed of 28.0 m/s,
is it exceeding the speed limit of 55.0 mi/h?

Answers

Answer:

Yes, see explanation.

Explanation:

Hello,

In this case, considering that 1 hour equals 3600 seconds and 1 mile equals 1609.34 meters, the speed at which the car is moving is:

[tex]28.0\frac{m}{s} *\frac{1mi}{1609.34m}*\frac{3600s}{1h} \\ \\=62.63\frac{mi}{h}[/tex]

Thus, since the speed is greater than the limit we conclude it is exceeding the speed limit.

Regards.

A driver looks down at their speedometer and sees they are moving at 45 mph. This measurement would be a

Answers

Answer:

This measurement would be a measure of the speed of an object(the car ) in motion

Explanation:

A driver looks down at their speedometer and sees they are moving at 45 mph. This measurement would be about the speed of the car or about how fast the car is moving.

This means, the car is travelling the distance of 45 miles in every hour.

This measurement would also be about the instantenous speed of the car which is 45mph.

What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?

Answers

Answer:

a

 [tex]Q_e  =  -4.39 *10^{11}  \  C [/tex]

b

[tex]Q_p  =  + 2.395*10^{-8} \  C [/tex]

Explanation:

Generally the number of electron in the given mass is  mathematically evaluated as

        [tex]N_e =  \frac{2.5}{m_e }[/tex]

Here  m_e is the mass of electron with value [tex]m_e =  9.11 * 10^{-31} \  kg[/tex]

    =>  [tex]N_e =  \frac{2.5}{ 9.11 * 10^{-31} }[/tex]

       =>  [tex]N_e =2.74 *10^{30} \  electrons [/tex]

The total electric charge is mathematically represented as

       [tex]Q_e  =  N_e  *  e[/tex]

Here e is the charge on a single electron with value  [tex]e  =  1.60 *10^{-19}  \  C[/tex]

 So

          [tex]Q_e  =  -2.74 *10^{30}   *  1.60 *10^{-19} [/tex]

          [tex]Q_e  =  -4.39 *10^{11}  \  C [/tex]

The  negative sign is because we are considering electron

Generally the number of  protons in the given mass is  mathematically evaluated as

    [tex]N_p =  \frac{2.5}{m_p }[/tex]

Here  m_p is the mass of electron with value [tex]m_e =  1.67 * 10^{-27} \  kg[/tex]

    =>  [tex]N_p =  \frac{2.5}{ 1.67 * 10^{-27} }[/tex]

       =>  [tex]N_p =1.497 *10^{27} \  protons [/tex]

The total electric charge is mathematically represented as

       [tex]Q_p  = + N_p  *  e[/tex]

Here p is the charge on a single proton with value  [tex]p  =  1.60 *10^{-19}  \  C[/tex]

 So

          [tex]Q_p  =  +1.497 *10^{27}   *  1.60 *10^{-19} [/tex]

          [tex]Q_p  =  + 2.395*10^{-8} \  C [/tex]

Describing the Motion of an Object
SARE
Use the information from the graph to answer the
question.
What is the acceleration of the object?
m/s2
Velocity vs. Time
Velocity (m/s)
45
40
35
30
25
20
10
5
0
0
2
10
12
4. 6 8
Time (s)

Answers

Answer:

i actually dont know im so sorry but i will keep trying to find the answerr

The relatively high resistivity of dry skin, about 1 × 106 O·m, can safely limit the flow of current into deeper tissues of the body. Suppose an electrical worker places his palm on an instrument whose metal case is accidentally connected to a high voltage. The skin of the palm is about 1.5 mm thick. Estimate the area of skin on the worker’s palm that would contact a flat panel, then calculate the approximate resistance of the skin of the palm.

Answers

Answer:

The area is [tex]A = 0.015 \ m^2 [/tex]

The resistance is  [tex]R =  1.0 *10^{5} \ \Omega [/tex]

Explanation:

From the question we are told that

The relativity of dry skin is [tex]\rho = 1 * 10^6\ \Omega\cdot m[/tex]

The thickness of the skin is [tex]d = 1.5 \ mm = 1.5 *10^{-3} \ m[/tex]

Generally the area of a flat palm with length = 0.10 m and breath b = 0.15 m is mathematically represented as

[tex]A = d * L[/tex]

[tex]A = 0.10 * 0.15 [/tex]

[tex]A = 0.015 \ m^2 [/tex]

Generally the resistance is mathematically represented as

[tex]R = \frac{\rho * d}{ A }[/tex]

=>    [tex]R =  \frac{ 1.0 *10^{6} *   1.5*10^{-3}}{ 0.015  }[/tex]

=> [tex]R = 1.0 *10^{5} \ \Omega [/tex]

Two balls are thrown against a wall. Ball 1 has a much higher speed than ball 2.
Explain how the energy of the two balls is different.

Answers

Let both the balls have the same mass equals to m.

Let [tex]v_1[/tex] and [tex]v_2[/tex] be the speed of the ball1 and the ball2 respectively, such that

[tex]v_1>v_2\;\cdots(i)[/tex]

Assuming that both the balls are at the same level with respect to the ground, so let h be the height from the ground.

The total energy of ball1= Kinetic energy of ball1 + Potential energy of ball1. The Kinetic energy of any object moving with speed, [tex]v[/tex], is [tex]\frac 12 m v^2[/tex]

and the potential energy is due to the change in height is [tex]mgh[/tex] [where [tex]g[/tex] is the acceleration due to gravity]

So, the total energy of ball1,

[tex]=\frac 12 m v_1^2 + mgh\;\cdots(ii)[/tex]

and the total energy of ball1,

[tex]=\frac 12 m v_2^2 + mgh\;\cdots(iii)[/tex].

Here, the potential energy for both the balls are the same, but the kinetic energy of the ball1 is higher the ball2 as the ball1 have the higher speed, refer equation (i)

So, [tex]\frac 12 m v_1^2 >\frac 12 m v_2^2[/tex]

Now, from equations (ii) and (iii)

The total energy of ball1 hi higher than the total energy of ball2.

URGENT URGENT DUE SOON!!

Which statement describes a question that can guide the design of a
scientific investigation?
A. It asks about a cause-and-effect relationship between two
variables.
B. It asks about the preferred outcome of the investigation.
C. It asks about whether a controlled variable is necessary.
D. It asks about how the observations will be organized.

Answers

Answer:

A.

Explanation:

Im just guessing because it sounds like it describes a hypothesis the most and you said its urgent

a torch battery produces electricity from – energy​

Answers

Answer:

First, the batteries contain chemical energy, which is energy that is released during a chemical change. When chemical bonds are formed or broken, electrons are rearranged, and this movement of electrons produces chemical energy. Batteries can convert stored chemical energy into electrical energy.

chemical energy

An elevator held by a single cable is ascending but slowing down. Is the work done by tension positive, negative, or zero? What about the work done by gravity? Explain

Answers

Explanation:

1.) Work = Force*Distance

2.) The direction of motion lies in the same direction as the tension in the cable. So the work done by tension would be positive.

3.) The direction of the weight (due to gravity) would act opposite to the direction of motion of the elevator, so work done by gravity becomes negative.

Using the equation for for Newton's Second law, m=F/a solve the following problem. You have been given an object with a force of 10N and an acceleration of 2 m/s2, what is the mass?
Group of answer choices

1. 8g

2. 3g

3. 20g

4. 5g

Answers

Answer:

4. 5g

Explanation:

F=ma so, m=Fa. All you have to do is 10/2. Don't be confused by the units. Mass will normally be in grams.

Acceleration occurs when velocity changes. O True O False​

Answers

Answer:

True

Explanation:

Acceleration by definition is the change in velocity divided by the change in time.  Thus when the velocity changes, there must be an acceleration.

Translate the following sentence into an equation. "The distance traveled is the speed multiplied by the time." a) d = v * t a) d = v * t b) Δx = v * Δt c) v = d/t d) d=Δx*t

Answers

The correct answer is A) d = v * t

Explanation:

When writing an equation the goal is to represent the equality between different mathematical expressions or elements. Due to this, in an equation the symbol = is always used. Additionally, to translate a sentence into an equation, the variables should be represented using numbers or letters.

For example, in the sentence "The distance traveled is the speed multiplied by the time" there are three variables mentioned: distance, speed, and time. Also, these can be represented through the letters d (distance), v (speed or velocity), and t (time). Besides this, the sentence explains speed should be multiplied by time, which means it should be written as v × t or v * t and this is equivalent (=) to distance or t. According to this, the final equation would be d = v * t.

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