A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 375-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 1.80 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.75 Hz. Ignoring any reflections of sound in the room and using 343 m/s for the speed of sound, determine the amplitude (in m) of the simple harmonic motion.

Answers

Answer 1

Answer:

[tex]0.361\ \text{m}[/tex]

Explanation:

[tex]f_s[/tex] = Frequency of source = 375 Hz

[tex]\Delta f[/tex] = Difference between the maximum and minimum sound frequencies = 2.75 Hz

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

T = Time period = 1.8 s

[tex]v_m[/tex] = Maximum speed of the microphone

We have the relation

[tex]\Delta f=2f_s\dfrac{v_m}{v}\\\Rightarrow v_m=\dfrac{\Delta fv}{2f_s}\\\Rightarrow v_m=\dfrac{2.75\times 343}{2\times 375}\\\Rightarrow v_m=1.26\ \text{m/s}[/tex]

Amplitude is given by

[tex]A=\dfrac{v_mT}{2\pi}\\\Rightarrow A=\dfrac{1.26\times 1.8}{2\pi}\\\Rightarrow A=0.361\ \text{m}[/tex]

The amplitude of the simple harmonic motion is [tex]0.361\ \text{m}[/tex].


Related Questions

The small piston of a hydraulic lift has an area of 0.20 m2. A car weighing 1200 N sits on a rack mounted on the large piston. The large piston has an area of 0.90 m2. What is the mechanical advantage of the hydraulic lift?

Answers

Answer:

4.5

Explanation:

Given the following

Weight of the car = 1200N (Load)

Let us get the effort by using the formula;

F1/A1 = F2/A2

Substitute the given values

1200/0.9 = F2/0.2

Cross multiply

0.9F2 = 1200 * 0.2

0.9F2 = 240

F2 = 240/0.9

F2 = 266.67N

Hence the effort is 266.67N

Mechanical Advntage = Load/Effort

MA = 1200/266.67

MA = 4.5

Hence he mechanical advantage of the hydraulic lift is 4.5

How are radio waves modified to send information?

Answers

Answer:

Radio waves can be modified by their amplitude or frequency in order to transmit sound or data.

Explanation:

Hope this helped!!!

Luna and Angela are competitors in a running competition. Both are leading the race and enter at the same time the last 30 meters. Angela enters the final segment runnning at 4 m/s and "applies" an acceleration of 2 m/s2 while Luna enters the final segment at 3m/s but "applies " an acceleration of 3 m/s2. (a) Who finishes the race first? (Do the calculations) (b) Who is running faster at the end of the race?

Answers

Answer:

(a) Luna

(b) Luna

Explanation:

(b)

The final speed can be found by using the third equation of motion:

[tex]2as = v_f^2 - v_i^2\\[/tex]

where,

a = acceleration

s = distance covered

vf = final speed

vi = initial speed

For Angela:

a = 2 m/s²

s = 30 m

vi = 4 m/s

vf = v_fa

therefore,

[tex]2(2\ m/s^2)(30\ m) = (v_{fa})^2 - (4\ m/s)^2\\v_{fa}^2 = 120 m^2/s^2 + 16\ m^2/s^2\\v_{fa} = 11.66\ m/s\\[/tex]

For Luna:

a = 3 m/s²

s = 30 m

vi = 3 m/s

vf = v_fl

therefore,

[tex]2(3\ m/s^2)(30\ m) = (v_{fa})^2 - (3\ m/s)^2\\v_{fa}^2 = 180 m^2/s^2 + 9\ m^2/s^2\\v_{fa} = 13.74\ m/s\\[/tex]

Therefore, Luna will be running faster at the end of the race.

(b)

To calculate the time of completion we will use the first equation of motion:

[tex]v_f = v_i + at[/tex]

FOR ANGELA:

[tex]11.66\ m/s = 4\ m/s + (2\ m/s^2)t_a\\t_a = \frac{7.66\ m/s}{2\ m/s^2}\\\\t_a = 3.83\ s[/tex]

FOR LUNA:

[tex]13.74\ m/s = 3\ m/s + (3\ m/s^2)t_l\\t_l = \frac{10.74\ m/s}{3\ m/s^2}\\\\t_l = 3.58\ s[/tex]

Hence, LUNA finishes the race first.

the body acts on a force of 3N with the shoulder 20 cm. What is her moment?​

Answers

Answer:

0.6Nm

Explanation

Given

Force = 3N

Distance = 20cm = 0.2m

Moment = Force * perpendicular distance

Substitute

Moment = 3N  * 0.2

Moment = 0.6Nm

Hence her moment is 0.6Nm

How many degrees equal π in radians? How many revolutions (turns) equal π radians? ​

Answers

Answer:

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ 57.295779513082320876 degrees.

Explanation:

An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.19 m apart are powered by the same function generator producing sine waves at 1,163 Hz frequency. Assume that the speed of sound is 340 m/s. A student walks along a line 12.5 m away and parallel to the line from one speaker to the other speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is the distance between the central maximum and the first maximum (loud) position along this line in m

Answers

Answer:

3.04 m

Explanation:

The interference by diffraction of waves is noticeable only when the dimension of the opening through which the wave is passing through is comparable to the wavelength of the passing wave.

It is given that :

Distance between two speakers, d = 1.19 m

Speed of sound,  v = 340 m/s

The frequency is f = 1163 Hz

Distance the student walk along the line of the speaker, D = 12.5 m

We know the wavelength of the sound produced by the speakers is given by :

[tex]$\lambda=\frac{v}{f}$[/tex]

  [tex]$=\frac{340}{1163}$[/tex]

  = 0.29 m

Now the distance between the central maximum and the first maximum position is given by :

[tex]$y=\frac{\lambda D}{d}$[/tex]

  [tex]$=\frac{0.29 \times 12.5}{1.19}$[/tex]

 = 3.04 m

7. The diagram shows a mercury manometer used to measure the pressure of gas in a container.
Atmospheric pressure is 76 cm of mercury.
gas
mercury
20cm
12 cm
What is the pressure of the gas?
56 cm of mercury
68 cm of mercury
C
84 cm of mercury
96 cm of mercury​

Answers

Answer: I didnt understand it sorrryryyyyyyy

Explanation:

Amy pulls a spring with a spring constant k = 100 stretching it from its rest length of 0.10 m to 0.2

Answers

Answer:

Elastic potential energy  E = 0.5 J

Explanation:

Let us assume we have to find the elastic potential energy stored in the spring.

Given: k = 100

change in the length of the spring x = 0.2-0.1 = 0.1 m

Elastic potential energy

E = [tex]\frac{1}{2} kx^2[/tex]

plugging the values we get

[tex]E = 0.5\times100\times0.1^2\\=0.5 J[/tex]

Hence, Elastic potential energy  E = 0.5 J

Amy pulls a spring with a spring constant k = 100 N/m, stretching it from its rest length of 0.10 m to 0.20 m.

What is the elastic potential energy stored in the spring?

Answer: 0.5 J

How many cups of water should you drink in a day?

Answers

Answer:

about 2.7liters for women and 3.7liters for men

Explanation:

When ___ attacks the surface of a metal, it becomes tarnished.​

Answers

Answer:corrosion (i believe)

Explanation:

Answer

Mix baking soda and salt with hot water and cover everything with it. The proportions are not crucial, but about 1 tablespoon of salt and 1 tablespoon of baking soda to 3 dl water should do the trick. Lightly tarnished objects should clean up in a few minutes, and you just rinse them of and dry them.

Explanation:

A 905 kg test car travels around a 3.25 km circular track. if the magnitude of the force that maintains the car's circular motion is 2140 N, what is the car's tangential speed?

Answers

Link provided in other answer is a SCAM, don’t click on the link !!!!

what are conspiracy theories?​

Answers

Answer:

They are theories which have a really dark twist or meaning behind the whole theory, some conspiracy theories can also lead to a cliffhanger.

5. What is the frequency of a sound wave when the speed of the sound is 340 m/s and has a wavelength of 1.21 m? 263 Hz 281 Hz O 328 Hz O 346 Hz​

Answers

Answer:

281 Hz

Explanation:

I am so so sorry if this is wrong. But good luck and have a good day

A 100 N force is applied to move an object a horizontal distance of 5 meters at constant speed in 10 seconds. How much power is done?

Answers

Answer:

50 W

Explanation:

Given :

Force applied = 100 NDistance covered = 5 metresTime = 10 seconds

To find :

Power

Solution :

For calculating power, we first need to know about the work done.

[tex] \bf \boxed{Work = Force \times displacement} [/tex]

Now, substituting values in the above formula;

Work = 100 × 5

= 500 Nm or 500 J

We know that,

[tex]\bf \boxed{Power=\dfrac{Work\:done}{Time\: taken}}[/tex]

Substituting values in above formula;

Power = 500/ 10

= 50 Nm/s or 50 W

Hence, power = 50 W .

What do scientists use satellites for?
(there is no science colum)

Answers

Answer:

NASA satellites help scientists study Earth and space. Satellites looking toward Earth provide information about clouds, oceans, land and ice. They also measure gases in the atmosphere, such as ozone and carbon dioxide, and the amount of energy that Earth absorbs and emits. And satellites monitor wildfires, volcanoes and their smoke.

Explanation:

Hope this helps! :) have a great day.

1. GPS

2. Internet

3. Weather forecast

4. Observation

5. Experiments

6. Discovery

The magnetic field of a bar magnet Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Always points from north to south, whether we look outside the magnet or inside the magnet. b Always points from south to north, whether we look outside the magnet or inside the magnet. c Points from north to south outside the magnet, but south to north inside the magnet. d Points from south to north outside the magnet, but north to south inside the magnet.

Answers

Answer:

A: Always points from north to south, whether we look outside the magnet or inside the magnet

Explanation:

When we freely suspend a bar magnet, it's magnetic field will always rest in the north to south direction due to the fact that the Earth's magnetic south pole usually lies in the direction of the geographic north while the Earth's magnetic north pole usually lies in the direction of the geographic south.

Now, we all know that in magnets, like poles will repel and unlike poles will attract. What this now means is that the magnet will always point from the north to the south direction.

In the example of a hammer hitting a nail, which is hit harder? the nail, the hammer, or they both hit equally?

Answers

Answer:

both hit qaulity

Explanation:

Newton's Third Law says that every interaction involves two forces - in this case (1) hammer pushes nail, and (2) nail pushes hammer. When a hammer hits a nail, Newton's Third Law says that the force that the hammer exerts on the nail is exactly the same size as the force the nail exerts on the hammer.

Boxers wear gloves that are padded to lessen the force of a punch. Calculate the force exerted by a boxing glove on an opponent's face, if the glove and face compress 8.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. Give your answer in Newtons, do not include the unit in your answer.

Answers

Answer:

F = 4117.64

Explanation:

First, we will calculate the acceleration of the hand, by using the third equation of motion:

[tex]2as = v_f^2 - v_i^2\\[/tex]

where,

a = acceleration = ?

s = distance covered = compression = 8.5 cm = 0.085 m

vf = final speed = 0 m/s

vi = iniial speed = 10 m/s

Therefore,

[tex]2a(0.085\ m) = (0\ m/s)^2-(10\ m/s)^2\\a = - 588.23\ m/s^2[/tex]

negative sign hows deceleration.

Now, we will calculate the force exerted by the hand:

[tex]F = ma = (7\ kg)(588.23\ m/s^2)\\[/tex]

F = 4117.64 N

Explain one inference scientists made about the interior of the Earth based on seismic waves. Use the words S & P waves in your answer. Use the word refract/bend in your answer

Answers

Answer:

"An earthquake radiates P and S waves in all directions and the interaction of the P and S waves with Earth's surface and shallow structure produces surface waves. Near an earthquake the shaking is large and dominated by shear-waves and short-period surface waves."  please rephrase this in your own words.

Explanation:

Im not sure if this helps but credits to: eqseis.geosc.psu.edu › Notes › waves_and_interior

The smaller the mass of an object, the _____ its inertia

Answers

Answer:

larger

Explanation:

just trust me

The smaller the mass of an object, the smaller its inertia, because the inertia of any object is directly proportional to the mass of the object

What is inertia?

The ability of an object to resist changes in motion is known as inertia. The amount of inertia is directly related to an object's mass; in fact, as we frequently observe, the heavier an object is, the harder it is to change its direction of motion.

A straightforward illustration: While it is relatively simple to stop a tennis ball that has been thrown in our direction, we are aware that it is more difficult to stop a large truck that is moving in the same direction at the same speed. This is because the truck has a much higher mass than the tennis ball and a higher moment of inertia. As a result, inertia rises as mass does.

Since the inertia of any object is directly proportional to its mass, the smaller its mass, the less inertia it will have.

Learn more about Inertia from here

https://brainly.com/question/1358512

#SPJ5

Q1) Calculate the gravitational force between two large trucks, each with a mass of 6500 kg, if
they are parked next to each other separated by a distance of 0.5 m Ignore all other
gravitational forces.

Answers

Answer:

F = 0.0112 N

Explanation:

Given that,

Masses, [tex]m_1=m_2=6500\ kg[/tex]

The distance between masses, d = 0.5 m

We need to find the gravitational force between two large trucks. The formula for the gravitational forces is given by :

[tex]F=G\dfrac{m^2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{6500^2}{(0.5)^2}\\\\F=0.0112\ N[/tex]

So, the required force between masses is equal to 0.0112 N.

Consider again the civilization described in the previous question. (They live on a planet orbiting 10 AU from a close binary star system that consists of a 15 MSun red giant star and a 10 MSun black hole surrounded by an accretion disk.) Through a bizarre (and scientifically unexplainable) fluctuation in the space-time continuum, a copy of a book from that civilization arrives on your desk; it is entitled Iguoonos: How We Evolved. In the first chapter, you learn that these beings evolved from organisms that lived 5 billion years ago. Which of the following statements should you expect to find as you continue to read this book?
A. Their immediate ancestors were chimpanzees.
B. As a result of traumatic experiences to their evolutionary ancestors, they dislike television.
C. They evolved on a different planet in a different star system, and moved to their current location.
D. They evolved from primitive wormlike creatures that had 13 legs, 4 eyes, and bald heads, thus explaining why such critters are now considered a spectacular delicacy.
E. They believe that the presence of two stars in their system was critical to their evolution.

Answers

Fysbsts dydbdysj dudgts offhand fidydh jdgdhd

A 12kg aluminum box is sliding along a horizontal steel surface while experiencing a rightward applied force of 60N. The box has a displacement of 20m. What is the Net Force acting on the box? *

A.)60N
B.)117.72N
C.)4.67 N
D.)-55.33N

Answers

The answer would be D sorry if wrong

A 10cm3 sample of copper has a density of 897g/cm3. What is the mass of the sample?

Answers

Question:-

A 10cm³ sample of copper has a density of 897g/cm³. What is the mass of the sample ?

Answer:-

Given:-

Density of sample of copper is 897g/cm³.

Volume of sample of copper is 10cm³.

To Find:-

The mass of the sample.

Solution:-

We know,

[tex] { \boxed{\bf{\rm \red {Mass \: = \: Density \: × \: Volume}}}} [/tex]

So, Mass = 897g/cm³ × 10cm³

Mass = 8970 g

The mass of the sample is 8970 g. [Answer]

Choose the correct answer?

Answers

Answer:

B

Explanation:

How was our galaxy formed?

Answers

Answer:

according to big bang theory our galaxy was formed 13billion years ago and then made the stars and galaxies we see today. ... The universe began as a very hot, small, and dense superforce (the mix of the four fundamental forces), with no stars, atoms, form, or structure (called a "singularity).

When setting your schedule, it is sometimes necessary to tell people "No." Please select the best answer from the choices provided. t or f​

Answers

Answer:

True Edg2020

Explanation:

Answer: true

Explanation:

because I say so :P

Suppose you needed to push a 1,500-N sofa up a frictionless ramp with a 30° angle. How much force would you have to apply to the sofa?Show your work below.

Answers

Answer:

1299N

Explanation:

GIven data

Weight W= 1500N

Angle Ф= 30°

The applied force up the frictionless ramp is gotten by applying the formula below

F= WcosФ

substitute

F=1500 cos 30

F = 1500*0.8660

F= 1299N

Hence the applied force is 1299N

What force is caused by tiny collisions, called microwelds, on surfaces that
are stuck together?
A. heat
B. energy
C. air resistance
D. friction

Answers

Answer:

D. Friction

Explanation:

"Friction is caused by microwelds that form between two surfaces. Microwelds are stronger when the two surfaces are pushed together with a greater force." - ( Module 3 • Forces and Newton’s Laws) quoted

hope this helps and is right. p.s. i really need brainliest :)

Answer:

Friction

Explanation:

Took The Test

True or False: There are many different types of leukocytes.


True


False

Answers



the answer is a.) true


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