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
lutik1710 [3]
4 years ago
9

Find the fundamental frequency and the next three frequencies that could cause standing-wave patterns on a string that is 30.0 m

long, has a mass per length of 9.00 - 10#3 kg/m, and is stretched to a tension of 20.0 N.
Physics
1 answer:
maksim [4K]4 years ago
6 0

Answer:

0.786 Hz, 1.572 Hz, 2.358 Hz, 3.144 Hz

Explanation:

The fundamental frequency of a standing wave on a string is given by

f=\frac{1}{2L}\sqrt{\frac{T}{\mu}}

where

L is the length of the string

T is the tension in the string

\mu is the mass per unit length

For the string in the problem,

L = 30.0 m

\mu=9.00\cdot 10^{-3} kg/m

T = 20.0 N

Substituting into the equation, we find the fundamental frequency:

f=\frac{1}{2(30.0)}\sqrt{\frac{20.0}{(9.00\cdot 10^{-3}}}=0.786 Hz

The next frequencies (harmonics) are given by

f_n = nf

with n being an integer number and f being the fundamental frequency.

So we get:

f_2 = 2 (0.786 Hz)=1.572 Hz

f_3 = 3 (0.786 Hz)=2.358 Hz

f_4 = 4 (0.786 Hz)=3.144 Hz

You might be interested in
Which forces are acting on the student and the skateboard in the instant in which they are pushing off the wall? (Select all tha
diamong [38]
E all of the answers above correlate to the student and his skateboard
7 0
2 years ago
Read 2 more answers
Which of the following types of electromagnetic radiation has the lowest energy?
Fofino [41]

UV rays have the lowest energy, (highest wavelengths)

8 0
2 years ago
First, water evaporates from the ocean to the atmosphere, then ____________. put each step in the correct order.
oksian1 [2.3K]
<span>First, water evaporates from the ocean to the atmosphere, then... put each step in the correct order.
</span>Second- atmospheric circulation advects the water.
Third- water condensates to form clouds.
Fourth- precipitation falls from clouds to the land.
Fifth- some water stored as snow or ice.
Sixth- water either ±ows along the surface in rivers and lakes or infiltrates the ground.
Seventh- water returns to the ocean.
3 0
3 years ago
8. Fig. 4.1 shows a heavy ball B of weight W suspended from a fixed beam by two ropes P and Q.
mart [117]

Answer:

The resultant tension of the two ropes is approximately 42.4 N

The length of the line representing the resultant tension is approximately 8.48 cm

Please find included  with the answer the scale drawing created with Microsoft Word

Explanation:

The given parameters are;

The tension in rope P, T_P = 30 N

The tension in rope Q, T_Q = 30 N

The angle the rope, 'P', makes with the horizontal = 45°

The angle the rope, 'Q', makes with the horizontal = 45°

The scale factor of the scale diagram, S.F. = 5.0 N/cm

By the resolution of forces at equilibrium, we have;

The sum of the vertical forces, \Sigma F_y = T_P_y + T_Q_y + W = 0

∴ W = -(T_P_y + T_Q_y)

W = -(30 × sin(45°) + 30 × sin(45°)) = -42.4264068712

The weight of the heavy ball, W ≈ 42.4 N acting downwards

The sum of the horizontal forces, \Sigma F_x = T_P_x + T_Q_x  = 0

The length of the resultant force, W = W/(S.F.) ≈ 42.4 N/(5.0 N/cm) = 8.48 cm

The drawing of the vectors using the scale factor of 5.0 N/cm is created using Microsoft Word is included

3 0
3 years ago
Example of nuclear fission and nuclear fusion​
EleoNora [17]

Answer:

In fission, energy is gained by splitting apart heavy atoms, for example uranium, into smaller atoms such as iodine, caesium, strontium, xenon and barium, to name just a few. However, fusion is combining light atoms, for example two hydrogen isotopes, deuterium and tritium, to form the heavier helium.

Explanation:

I hope this helped you

(Sorry If it didn't)

4 0
3 years ago
Other questions:
  • GIVING BRAINLIEST TO BEST ANSWER PLEASE HELP<br><br>describe subatomic particles.
    15·1 answer
  • From the illustration of the potassium atom, fill in the periodic table selection.
    14·1 answer
  • In this section of a circuit, a current of 2.6 A flows across R1. What is the potential difference V between point x and point y
    5·1 answer
  • Which type of wave experiences a change in speed when entering a new medium?
    13·2 answers
  • Which of these is an advantage of parallel circuits over series circuits?
    14·1 answer
  • A half-full recycling bin has mass 3.0 kg and is pushed up a 40.0^\circ40.0 ​∘ ​​ incline with constant speed under the action o
    10·1 answer
  • A skateboarder is traveling at a velocity of 8 m/s. She slows down and comes to a stop in 4 seconds. Calculate the skater’s acce
    14·1 answer
  • 3. Two bullets have masses of 0.003 kg and 0.006 kg, respectively. Both are fired with a speed of 40.0 m/s.
    6·1 answer
  • Calculate the acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds.
    11·1 answer
  • Complete the following sentence. Pressure in a liquid depends on the __________ of the liquid.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!