1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elena-14-01-66 [18.8K]
3 years ago
8

You have a string with a mass of 0.0123 kg.0.0123 kg. You stretch the string with a force of 8.37 N,8.37 N, giving it a length o

f 1.81 m.1.81 m. Then, you vibrate the string transversely at precisely the frequency that corresponds to its fourth normal mode; that is, at its fourth harmonic. What is the wavelength ????4λ4 of the standing wave you create in the string? What is the frequency f4?
Physics
1 answer:
Elza [17]3 years ago
4 0

Answer:

v= 35.09m/s

f= 38.77Hz

Explanation:

Length 'L' = 1.81 m

Now, First off the fourth harmonic of a string with two nodes is given by:

L=2λ

1.81=2λ

λ= 1.81/2 =>0.905 m

Wave speed on a strecthed string is:

v=√(Ft/(m/l))

v= √(8.37)/(0.0123/1.81)

v= 35.09m/s

Next is to determine frequency i,e

v=λf or f =v/λ

f= 35.09/0.905

f= 38.77Hz

You might be interested in
A 50.0-kg block is being pulled up a 16.0° slope by a force of 250 n that is parallel to the slope. the coefficient of kinetic
Drupady [299]
When dealing with multiple forces acting on a body, it is advisable to draw a free-body diagram like that shown in the picture. There are four forces acting on the box: weight (W) pointing straight down, normal force perpendicular to the slope denoted as Fn, force used to push the box upwards along the slope and the frictional force acting opposite to the direction of motion of the box denoted as Ff. Frictional force is equal to coefficient of kinetic friction (μk) multiplied with Fn.

∑Fy = Fn - mgcos30° = 0
           Fn = (50)(9.81)(cos 16) = 471.5 N

When in motion, the net force is equal to mass times acceleration according to Newton's 2nd Law of Motion:

Fnet = F - μk*Fn - mgsin30° = ma
          250 - (0.2)(471.5 N) - (50)(sin 16°) = (50)(a)
          a = 2.84 m/s²

8 0
3 years ago
The best description of personality traits we have today is
Anettt [7]
Openness to experience, Neuroticism, agreeableness, Extroversion, Conscientiousness
3 0
2 years ago
Which type of rock can only form below earths surface?
Inessa [10]

Answer: Igneous it forms because of magma but magma is under the earths surface so its Igneous

Explanation:

7 0
1 year ago
Read 2 more answers
In a given system of units the ratio of the unit of volume to that of area gives the unit of​
ch4aika [34]

Answer:

length

Explanation:

SI unit of volume = m^3

SI unit of area = m^2

volume unit / Area unit = m^3 / m^2

i.e, unit of length

8 0
2 years ago
A tube 1.20 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.350 m long and has a mass o
Ksju [112]

Answer:

71.4583 Hz

67.9064 N

Explanation:

L = Length of tube = 1.2 m

l = Length of wire = 0.35 m

m = Mass of wire = 9.5 g

v = Speed of sound in air = 343 m/s

The fundamental frequency of the tube (closed at one end) is given by

f=\frac{v}{4L}\\\Rightarrow f=\frac{343}{4\times 1.2}\\\Rightarrow f=71.4583\ Hz

The fundamental frequency of the wire and tube is equal so he fundamental frequency of the wire is 71.4583 Hz

The linear density of the wire is

\mu=\frac{m}{l}\\\Rightarrow \mu=\frac{9.5\times 10^{-3}}{0.35}\\\Rightarrow \mu=0.02714\ kg/m

The fundamental frequency of the wire is given by

f=\frac{1}{2l}\sqrt{\frac{T}{\mu}}\\\Rightarrow f^2=\frac{1}{4l^2}\frac{T}{\mu}\\\Rightarrow T=f^2\mu 4l^2\\\Rightarrow T=71.4583^2\times 0.02714\times 4\times 0.35^2\\\Rightarrow T=67.9064\ N

The tension in the wire is 67.9064 N

7 0
2 years ago
Other questions:
  • The warmest layer of Earth's atmosphere is the ___.
    7·1 answer
  • Roseanne heated a solution in a beaker as part of a laboratory experiment on energy transfer. After a while, she noticed the liq
    9·1 answer
  • 10. The electron dot diagram for the element Ne would have ​
    13·1 answer
  • On the moon the surface temperature ranges from 379 K during the day to 1.04 x 102 K at night. Convert these temperatures to the
    13·1 answer
  • You can report sexual harassment to:
    13·1 answer
  • How many atoms of hydrogen are in vitamin B
    8·1 answer
  • For a particular scientific experiment, it is important to be completely isolated from any magnetic field, including the earth's
    12·1 answer
  • Answer fast !!!!!!! pleaseee
    5·2 answers
  • Which of the following is true of ligand gated sodium ion channels neurons?
    7·1 answer
  • Entropy is how quickly things get messy.<br> O A. True<br> OB. False<br><br><br><br> Answer : False
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!