A string has mass 5.0 grams, and is stretched with 180 N of tension. A wave travels on this string with frequency 260 Hz and wavelength 0.60 m. Determine the length of the string.

Answers

Answer 1

Answer:

3.68×10¯⁶ m

Explanation:

The following data were obtained from the question:

Mass (m) = 5 g

Tension (T) = 180 N

Frequency (f) = 260 Hz

Wavelength (λ) = 0.60 m.

Length (L) =?

Next, we shall determine the period of the wave. This can be obtained as follow:

Period is simply defined as the time taken to complete 1 oscillation. Mathematically, it is represented as:

Period (T) = 1/frequency (f)

T = 1/f

Thus, with the above formula, the period of the wave can be obtained as shown below:

Frequency (f) = 260 Hz

Period (T) =?

T = 1/f

T = 1/260

T = 3.85×10¯³ s

Finally, we shall determine the length of the string as follow:

Period (T) = 3.85×10¯³ s

Acceleration due to gravity (g) = 9.8 m/s²

Pi (π) = 3.14

Length (L) =?

T = 2π√(L/g)

3.85×10¯³ = 2 × 3.14 × √(L/9.8)

3.85×10¯³ = 6.28 × √(L/9.8)

Divide both side by 6.28

3.85×10¯³ / 6.28 = √(L/9.8)

Take the square of both side

(3.85×10¯³ / 6.28)² = L/9.8

Cross multiply

L = (3.85×10¯³ / 6.28)² × 9.8

L = 3.68×10¯⁶ m

Therefore, the length of the string is 3.68×10¯⁶ m


Related Questions

(4) A stainless steel storage tank contains 5 kg of carbon dioxide gas and 7 kg of argon gas. How many kmoles are in the tank?

Answers

Answer:

0.2886 Kmoles

Explanation:

Number of moles is calculated by dividing mass of element/molecular mass of element

Mass of Carbon Di oxide = 5000 g or 5 kg

Molecular mass of CO2 = 12 + 16×2 = 44 g

No of moles = 5000/44 = 113.6 moles = 0.1136 Kmoles

Mass of argon = 7Kg or 7000 kg

Molecular mass of Argon(Ar) = 40g

No of moles = 7000/40 = 175 moles = 0.175 Kmoles

Total Kmoles = 0.175+0.1136=0.2886 Kmoles

A 7.52nC charge is located 1.65m from a 4.10nC point charge.a) Find the magnitude of the force that the -2.5 nC charge exerts on the -8.0 nC charge.b) Is the force attractive or repulsive?

Answers

Answer:

a. [tex]1.019 \times 10^{-7} N[/tex]

b. Repulsive force

Explanation:

The computation is shown below:

a. The magnitude of the force is

Given that

Charge = 7.52nc

Location = 1.65m

Point charge = 4.10nC

Based on the above information,

As we know that

[tex]F= \frac{kqQ}{r^2} \\\\= \frac{9\times10^{9} \times 7.52 \times 10^{-9} \times 4.1 \times 10^{-9}}{1.652} \\\\= 1.019 \times 10^{-7} N[/tex]

b. Now as it can be seen that both contains the positive charges so this represents the repulsive force and the same is to be considered

Suppose you are asked to compute the tangent of 5.00 meters. Is this possible? Why or why not?

Answers

Answer:

Generally it is only possible  to compute the tangent of angle in their various unit but because 5 meter is not an angle then it is impossible  to compute the tangent of 5 meters.

Explanation:

Which of these statements partially defines law?

Answers

Answer: I dont see the option choices

Explanation:

Which law of motion is this an example of?
Newton's 1st Law of Motion
Newton's 2nd Law of Motion
Newton's 3rd Law of Motion​

Answers

I think it is 2nd law of motion cuz it use mass to push

The microwaves in a certain microwave oven have a wavelength of 12.2 cm. How wide must this oven be so that it will contain five antinodal planes of the electric field along its width in the standing wave pattern?
Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, what would have to be the frequency of the microwaves for there still to be five antinodal planes of the electric field along the width of the oven?

Answers

Answer:

a

 [tex]l = 0.305 \  m[/tex]

b

  [tex]f = 3.0*10^{11} \  Hz[/tex]

Explanation:

From the question we are told that

  The  wavelength is  [tex]\lambda  =  12.2 \  cm  = 0.122 \  m[/tex]

  The  number of antinodal planes of the electric field considered is n  =  5

The  width is mathematically represented as

       [tex]l  =  \frac{ n \lambda}{2}[/tex]

       [tex]l = \frac{5 * 0.122 }{ 2}[/tex]

      [tex]l = 0.305 \  m[/tex]

Generally the  frequency the errors was made is  mathematically represented as

   [tex]f =  \frac{c}{\lamda_k}[/tex]

Here c is the speed of light with value  [tex]c =  3.0*10^{8} \  m/s[/tex]

     [tex]\lambda_k[/tex] is the wavelength of the microwave has to be in order for there still to be five antinodal planes of the electric field along the width of the oven, which is mathematically represented as

     [tex]\lambda_k  =  \frac{ \lambda *  \frac{0.04}{2} }{n/2}[/tex]

      [tex]\lambda_k  =  \frac{0.122*0.02}{5/2}[/tex]

So

   [tex]f =  \frac{3.0*10^{8}}{0.000976}[/tex]

    [tex]f = 3.0*10^{11} \  Hz[/tex]

   

       


[tex]11 \times 4[/tex]

Answers

Answer:

44 is right answer

Explanation:

Step 1 :

11+11+11+11+11

step 2:

=22+22

step 3:

=44

hope it helped you:)

Thanks!

11x4=44 just do 1x4 and 1x4 then but them together

A clock mechanism at rest has a period of exactly 1 second. When this clock is observed while moving with a speed of 0.80 c, what is its period?

Answers

Answer:

1.67 s

Explanation:

Since the clock is moving at relativistic speed, the period dilates. So, we use the equation

t = t₀/√[1 - (v/c)²].

Given that t = the period of the clock = 1 s and v = speed of the clock = 0.80c, substituting these values into t, we have

t = t₀/√[1 - (v/c)²]

t = 1/√[1 - (0.8c/c)²]

t = 1/√[1 - (0.8)²]

t = 1/√[1 - 0.64]

t = 1/√0.36

t = 1/0.6

t = 1.67 s

So the period of the clock when it is observed while moving with a speed of 0.8c is 1.67 s

differences between Constant velocity and constant acceleration

Answers

Answer:

Traveling with a constant velocity means you're going at the same speed in the same direction continuously. If you have a constant velocity, this means you have zero acceleration. ... If you travel with a constant acceleration, your velocity is always changing, but it's changing by a consistent amount each second.

A metre rule balances when the 50 cm mark is directly above a pivot. State where in the rule its centre of mass is located?

Answers

Answer:

The ruler's center of mass is located on the vertical line defined by the 50 cm mark.

Explanation:

Recall that in order to have equilibrium as that described by this example, the net Torque in the ruler should be zero. which means in our case that the weight due to the right half of the ruler, should equal in absolute value of the weight of the left side of the ruler, thus defining where the ruler's center of mass is.

Since this happens at the mark 50 cm, then the center of mass of the ruler is located somewhere inside the ruler somewhere above where the pivot is located (50 cm mark)

A physics student runs along a line tangent to the edge of a motionless merry-go-round and jumps on at the very outside. The merry-go-round has the shape of a uniform disk.
A) Make an angular momentum chart to help you keep track of what is and is not changing. Consider the two objects, the student and merry-go-round, with the total angular momentum of these two objects conserved. Must the student have angular momentum before jumping on the merry-go-round?
B) Is linear momentum conserved in this interaction if you just consider the merry-go-round and the student?

Answers

Answer:

We know that angular momentum is mvr

So that of the students initially will be

A1= mvr

and the final of the student and the merrygo round will be

A2= (1/2Mr²+mr)omega

So

Angular velocity (omega)= mvr/(1/2Mr²+mr)

This is the final angular velocity of the system so yea the student must have angular momentum before jumping on the merry-go-round

B. Because of directional changes at every edge of the Merry go round that result in changes in velocity, this results in changes in momentum too thus linear momentum is not conserved

What mirror diameter gives 0.1 arc second resolution for infrared radiation of wavelength 2 micrometers?

Answers

Answer:

The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

[tex]resolution=0.25\times\dfrac{wavelength}{diameter}[/tex]

[tex]diameter =0.25\times\dfrac{wavelength}{resolution}[/tex]

Put the value into the formula

[tex]diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}[/tex]

[tex]diameter = 0.000005\ m[/tex]

[tex]diameter = 5\times10^{-6}\ m[/tex]

Hence, The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

The sun appears to move through the background stars. This apparent motion would not exist if:_________.
a) the moon did not orbit the earth
b) the earth did not orbit the sun
c) the earth did not turn on its axis once a day

Answers

Answer:

b) the earth did not orbit the sun

Explanation:

The sun appears to move through the background stars due to parallax . Parallax is a phenomenon when the near object appears to move faster than the distant object . If we travel in a train , the near object like electric poles on rail track or trees and fields nearby appear to move faster against the distant background .

Hence when the earth moves around the sun , the sun appears to move against the background the stars which are far away . Had earth remained stationary at a place on its orbit around the sun , the sun would have appeared stationary against the background the   stars .

The position-time equation for a certain train is
2.9m + (8.8m/s)t + (2.4m/s2)+2

What is it’s acceleration?

Answers

Answer:

[tex]a=4.8m/s^2[/tex]

Explanation:

Hello,

In this case, since the acceleration in terms of position is defined as its second derivative:

[tex]a=\frac{d^2x(t)}{dt^2}=\frac{d^2}{dt^2}(2.9+8.8t+2.4t^2)[/tex]

The purpose here is derive x(t) twice as follows:

[tex]a=\frac{d^2x(t)}{dt^2}=\frac{d}{dt}(8.8+2*2.4*t)\\ \\a=4.8m/s^2[/tex]

Thus, the acceleration turns out 4.8 meters per squared seconds.

Best regards.

A communications satellite orbiting the earth has solar panels that completely absorb all sunlight incident upon them. The total area A of the panels is 10m2.1) The intensity of the sun's radiation incident upon the earth is about I=1.4kW/m2. Suppose this is the value for the intensity of sunlight incident upon the satellite's solar panels. What is the total solar power P absorbed by the panels?Express your answer numerically in kilowatts to two significant figures.2) What is the total force F on the panels exerted by radiation pressure from the sunlight?Express the total force numerically, to two significant figures, in units of newtons.

Answers

Answer:

0.000047N

Explanation:

We know that

intensity (I) = P/ A

Where

P= power

A= Area

So lets say that the power absorbed

Will be = Intensity x Area

Which Is = 1.4 x 10^3 x(10)

So

14000 Watt = 14 kWatt

However we know that radiation pressure is equal to

time-averaged intensity all over the speed of light in free space

So

P = (1.4 x 1000)/c

But

F= P x A

So

((1.4 x 1000)/(3 x1 0^8)) x 10

Which is

=0.000046666N

To two SIG figures we have

=0.000047 N

(a) The total solar power P absorbed by the panels is 14 kW.

(b) The total force F on the panels exerted by radiation pressure from the sunlight is [tex]4.7 \times 10^{-5} \ N[/tex].

The given parameters;

area of the panel, A = 10 m²intensity of the sun radiation, I = 1.4 kW/m^2

The total solar power P absorbed by the panels is calculated as follows;

[tex]P = I A\\\\P = (1.4 \ kW /m^2 ) \times 10\ m^2\\\\P = 14 \ kW[/tex]

The total force F on the panels exerted by radiation pressure from the sunlight is calculated as follows;

[tex]Pressure, P = \frac{I}{c} \\\\Force, F = PA\\\\F = (\frac{I}{c} )A\\\\F = \frac{IA}{c} \\\\F = \frac{(1.4 \times 10^3) \times (10)}{3\times 10^8} \\\\F = 4.7 \times 10^{-5} \ N[/tex]

Learn more about power of incident light here: https://brainly.com/question/14258601

change-22^0f to kelvin?​

Answers

Answer:

The formula is kelvin = (tempature in farenheit-32) ÷ 1.8 +273.15

So it will be (-22-32) ÷ 1.8 +273.15= 243.15 kelvin

Answer:

T(K) = (T(°F) + 459.67)× 5/9

answer is 243.15

Suppose the U.S. national debt is about $15 trillion. If payments were made at the rate of $1,500 per second, how many years would it take to pay off the debt, assuming no interest were charged? Note: Before doing these calculations, try to guess at the answers. You may be very surprised. yr (b) A dollar bill is about 15.5 cm long. How many dollar bills attached end to end would it take to reach the Moon? The Earth-Moon distance is 3.84 108 m. dollar bills

Answers

Answer:

This question has already been answered.

Explanation:

https://brainly.com/question/13542582

An airplane flies east with a velocity of 150 km/h. It encounters a tail wind of 30 km/h. How fast is the airplane traveling? (convert answer in m/s)

Answers

Answer:

50 m/s

Explanation:

Hi.

just for little clarification, I'd explain what a tail wind is, if you don't mind.

A tail wind is a wind that moves in the direction of the aircraft. If an aircraft is moving in a direction northwards, then a tail wind is also a wind moving northwards.

Now to the question, the airplane is flying at, 150 km/h with a tail wind of 30 km/h.

The airplane's speed is then,

150 + 30 = 180 km/h

And to convert to m/s, we have

180 km/h = 180 * 1000/3600 m/s

180 km/h = 50 m/s

A catapult launches a large stone from ground level at a speed of 45.2 m/s at an angle of 57.0° with the horizontal. The stone returns to ground level shortly thereafter.
(a) How long is it in the air
s
(b) What maximum height does the stone reach? (Neglect air friction.)
Im

Answers

Answer:

a

 [tex]T  =7.7 \ s [/tex]

b

   [tex]  s = 73.3 \  m [/tex]

Explanation:

From the question we are told that

   The speed is  [tex]u =  45.2  \  m/s[/tex]

   The angle is  [tex]\theta  = 57 .0^o[/tex]    

   

Generally the velocity of the stone in the y-axis is mathematically evaluated as

        [tex]v_y  = v * sin(\theta )[/tex]

=>     [tex]v_y  =  45.2  * sin(57 )[/tex]

=>      [tex]v_y  = 37.9 \  m/s [/tex]

Now  the time taken for the first flight is mathematically represented as

        [tex]t =  \frac{v_y}{g}[/tex]

=>      [tex]t =  \frac{37.9}{9.8}[/tex]

=>      [tex]t = 3.87 \  s [/tex]

The time taken for the total flight is mathematically represented as

           [tex]T  =  2 * t[/tex]

               [tex]T  =  2 * 3.87[/tex]

           [tex]T  =7.7 \ s [/tex]

From the equation of kinematics we have that  

      [tex]v^2  =  v_y^2  + 2gs[/tex]

At maximum heigth v =  0

      [tex]  =  37.9 ^2  + 2 *( -9.8) * s[/tex] The  negative sign is because it is moving against gravity to attain the maximum height

So

        [tex]  s = 73.3 \  m [/tex]

       

The time a projectile is in the air and the maximum height reached is required.

The projectile is in the air for 7.73 s.

The maximum height reached by the projectile is 73.24 m.

u = Initial velocity = 45.2 m/s

[tex]\theta[/tex] = Angle of inclination = [tex]57^{\circ}[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

Time of flight is given by

[tex]t=\dfrac{2u\sin\theta}{g}\\\Rightarrow t=\dfrac{2\times 45.2\sin 57^{\circ}}{9.81}\\\Rightarrow t=7.73\ \text{s}[/tex]

Maximum height is given by

[tex]h=\dfrac{u^2\sin^2\theta}{2g}\\\Rightarrow h=\dfrac{45.2^2\sin^257^{\circ}}{2\times 9.81}\\\Rightarrow h=73.24\ \text{m}[/tex]

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How much ice at a temperature of -22.3 ∘C must be dropped into the water so that the final temperature of the system will be 30.0 ∘C ?How much ice at a temperature of -22.3 ∘C must be dropped into the water so that the final temperature of the system will be 30.0 ∘C ?

Answers

Answer:

111.6 g or 0.112 kg

Explanation:

specific heat of liquid water = 4190 J/kg⋅K

specific heat of ice = 2100 J/kg⋅K

heat of fusion for water = 3.34*10^5 J/kg

You didn't state the mass of the beaker, so, I will be assuming that the mass is negligible.

Assuming that the mass of ice required is m kg

Then the heat gained by the ice to attain zero degree will be

= m * 22.3 * 2100

= 46830m J

The heat gained by the ice to melt

= m * 3.34*10⁵ J

= 334000m J

The heat gained by water at zero degree to warm up to 30° =

m * 4190 * 30 = 125700m J

Total heat gained = 506530m J

Note: You didn't state the mass of the water and it's temperature, so I will be assuming that the mass of water is 0.3 kg, and it's temperature was 75° C

The heat lost by hot water to cool up to 30°

= .3 * 4190 * (75 - 30)

= 1257 * 45

= 56565 J

Using the relation, Heat lost = heat gained

506530m = 56565

m = 56565 / 506530 kg

m = 0.112 kg or 111.6 g

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A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of 0.700 m2 . At the window, the electric field of the wave has an rms value 0.0400 V/m .
How much energy does this wave carry through the window during a 30.0-s commercial?
Express your answer with the appropriate units.

Answers

Answer:

The  value is  [tex]E =  8.9 *10^{-5} \  J[/tex]

Explanation:

From the question we are told that

   The  area is  [tex]A =  0.700 \  m^2[/tex]

   The  root mean square value  is [tex]E_{rms} =  0.0400 \  V/m[/tex]

   The time taken is [tex]t =  30.0 \  s[/tex]

Generally the energy is mathematically represented as

     [tex]E =  c *  \sepsilon_o *  A  *  t  * E_{rms}^2[/tex]

=>    [tex]E =  3.0*10^{8} *  8.85*10^{-12} *  0.700 *  30 * (0.04)^2[/tex]

=>     [tex]E =  8.9 *10^{-5} \  J[/tex]

     

If a space probe moves 20 m in 4 s, how fast is it moving?

Answers

Answer:

Speed =distance/time.

=20/4

=5m/s.

Formula: s = d/t

s = speed

d = distance

t = time

Solve using the values we are given.

s = 20/4

s = 5m/s

best of Luck!

A typical atom has a diameter of about 1.32 x 10-10 m.
A) What is this in inches?
B) How many atoms are there along a 21.0cm line?

Answers

Answer:

A) The value of the diameter in inches is 5.19685 × 10⁻⁹ inches

B)  There are 1,590,909,091 atoms on a 21.0cm line

Explanation:

A) To determine what its diameter is in inches

We will convert 1.32 × 10⁻¹⁰ m to inches

First convert this to centimeters (cm)

1.32 × 10⁻¹⁰m = 1.32 × 10⁻¹⁰ × 10² cm

=  1.32 × 10⁻⁸cm

Now, since 1 inch = 2.54 cm

∴ 1 cm = [tex]\frac{1}{2.54}[/tex] inches

If  1 cm = [tex]\frac{1}{2.54}[/tex] inches

Then 1.32 × 10⁻⁸ cm will be

1.32 × 10⁻⁸ × [tex]\frac{1}{2.54}[/tex] inches

= 5.19685 × 10⁻⁹ inches

This is the value of the diameter in inches

B) For the number of atoms on a 21.0cm line

The diameter of 1 atom is 1.32 × 10⁻¹⁰m

1.32 × 10⁻¹⁰m = 1.32 × 10⁻⁸cm

Hence, on a 21.0 cm line, we will have

(21.0 / 1.32 × 10⁻⁸) atoms

= 1590909091 atoms

Hence, there are 1,590,909,091 atoms on a 21.0cm line

the pressure of a gas is 100.0kpa and its volume is 500.0ml if the volume increase to 1000.0ml what is the new pressure of the gas

Answers

50Kpa

Explanation:

P1V1 = P2V2

Where;

P1= 100. P2= ?

V1 = 500. V2 = 1000

100 × 500 = P2 × 1000

50000 = 1000P2

50000/1000 = P2

50 = P2

P2 = 50Kpa

The current through a 0.2-H inductor is i(t) = 10te–5t A. What is the energy stored in the inductor?

Answers

Answer:

E = 10t^2e^-10t Joules

Explanation:

Given that the current through a 0.2-H inductor is i(t) = 10te–5t A.

The energy E stored in the inductor can be expressed as

E = 1/2Ll^2

Substitutes the inductor L and the current I into the formula

E = 1/2 × 0.2 × ( 10te^-5t )^2

E = 0.1 × 100t^2e^-10t

E = 10t^2e^-10t Joules

Therefore, the energy stored in the inductor is 10t^2e^-10t Joules

What does the law of universal gravitation describe? The motion of the planets around the sun The observation that matter cannot be created or destroyed The observation that all objects that have mass attract each other The amount of force acting on an object being equal to its mass times its acceleration

Answers

Answer: The observation that all objects that have mass attract each other

yes its The observation that all objects that have mass attract each other

While on a visit to Minnesota ("Land of 10,000 Lakes"), you sign up to take an excursion around one of the larger lakes. When you go to the dock where the 1500-kg boat is tied, you find that the boat is bobbing up and down in the waves, executing simple harmonic motion with amplitude 20 cm. The boat takes 3.5 s to make one complete up-and-down cycle. When the boat is at its highest point, its deck is at the same height as the stationary dock. As you watch the boat bob up and down, you (mass 60 kg) begin to feel a bit woozy, due in part to the previous night’s dinner of lutefisk. As a result, you refuse to board the boat unless the level of the boat’s deck is within 10 cm of the dock level. Required:How much time do you have to board the boat comfortably during each cycle of up-and-down motion?

Answers

Answer:

0. 3 s

Explanation:

The motion of the boat is up and down in simple harmonic with amplitude of 20 cm . Time period of oscillation T = 3.5 s and top extreme  point  is at level with the boarding dock .

The traveller has to wait until the boat reaches middle point ( 1o cm . )  that is half  its equilibrium position of oscillation .

Time period is 3.5 s . During its oscillation from extreme top position to its half of the equilibrium position , that is 10 cm below the stationary dock ,  time taken by boat

t = T / 12 = 3.5 /12  = .3  s .

Man shall have to wait for a period of 0.3 s

Ans 0. 3 s .

A mass is tied to a spring and begins vibrating periodically the distance between its highest and lowest position is 48cm what is the amplitude of the vibrating?

Answers

Answer 24cm

Explanation:

The amplitude of vibration of the spring is "24 cm"

The periodic vibrating body's motion follows a sinusoidal path. This sinusoidal path is illustrated in the attached picture.

From the picture, it can be clearly seen that the amplitude of the periodic vibration motion is the distance from its mean position to the highest point.

Since the distance of both the highest and the lowest points from the mean position is the same. Therefore, the distance between the lowest and the highest point must be equal to two times the amplitude of the wave.

[tex]Distance\ between\ highest\ and\ lowest\ point = 2(Amplitude)\\\\Amplitude = \frac{Distance\ between\ highest\ and\ lowest\ point}{2}\\\\Amplitude = \frac{48\ cm}{2}\\\\[/tex]

Amplitude = 24 cm

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The work done when a force moves a body through a distance of 15m is 1800j. What is the value of the force applied

Answers

Answer:

120

Work :

W = Fd (work = force x distance)

Force :

F = W/d

Distance :

d = W/F

Create a list of three questions that are good science questions.

Answers

Answer:

what is speed

how to tell what speed an objeckt is moveing

vlocity

Explanation:

Other Questions
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