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].


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Answer:

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what is the difference between food and money?​

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Answer:

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2 ways in which the effects of friction can be minimised in the experiment​

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Answer:

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Explanation:

hope it helps

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Answer:

The "solid force"? ... The direction of the force always seems to be coming out of the solid surface. A direction which is perpendicular to the plane of a surface is said to be normal. The force that a solid surface exerts on anything in the normal direction is called the normal force.

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Answer:

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Answers

B) The transfer of energy from the hydrosphere to the atmosphere

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Answers

Answer:

has more energy, has a greater amplitude, has a higher frequency

Explanation:

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Answers

Answer:

C. Distance 90 feet Displacement 0 feet

Sounds that reflect off of hard surfaces can create an echo.
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Answer: True

Explanation:

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Answer:

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Explanation:

Materials such as wood, stone, and metals are opaque to visible light.

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Answer:

Explanation:

Coding is all about logic, since I do not have the actual problem from the website I will guide you on how to solve this.

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Answer:

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THERE YOU GOOO!!!!!!!!!!!!!!

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Answer:

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step by step explenation

Una caja con medicina es lanzada desde un avión localizado a una distancia vertical de 340 m por encima de un río. Si el avión lleva una velocidad horizontal de 70 m/s¿Qué distancia horizontal recorrerá la caja con medicina antes de caer al río?

Answers

Answer:

La distancia horizontal que recorrerá la caja con medicina antes de caer al río es 583.1 metros.

Explanation:

Una caja con medicina es lanzada desde un avión localizado a una distancia vertical de 340 m por encima de un río.  Este movimiento posee una composición en dos dimensiones: uno horizontal sin aceleración, y el otro vertical con aceleración constante debido a la gravedad.  Por lo que se trata de un movimiento rectilíneo uniforme (MRU) en su trayectoria horizontal o eje horizontal (es decir, su velocidad es constante) y un movimiento uniformemente variado (MRUV) en su trayectoria vertical o en el eje vertical (es decir, su aceleración es constante).

En este caso, son conocidos los datos, considerando el sistema de referencia de la imagen:

Vy = 0 m/s (trayectoria vertical) Vx = 70m/s (velocidad horizontal)  hi = 340 m (altura inicial) g = -9,8 m/s² hf = 0 m (altura final. Cuando la caja de medicina cae al río, su altura será 0 m)

En el caso del MRUV, la posición puede calcularse mediante la expresión:

Posición final= Posición inicial + Velocidad inicial*t + [tex]\frac{1}{2}[/tex]*a*t²

donde a es la aceleración y t el tiempo transcurrido.

En este caso, reemplazando los datos conocidos, teniendo en cuenta que el MRUV sucede en la trayectoria vertical y que la aceleración es el valor de la gravedad:

0 m= 340 m + 0 m/s*t + [tex]\frac{1}{2}[/tex]* (-9.8 m/s²)* t²

Resolviendo:

-340 m= [tex]\frac{1}{2}[/tex]* (-9.8 m/s²)* t²

[tex]\frac{-340 m}{\frac{1}{2} *(9.8\frac{m}{s^{2} } )} =t^{2}[/tex]

69.39 s²= t²

t= √69.39 s²

t= 8.33 s

La posición en MRU se obtiene mediante:

Posición final= Posición inicial + velocidad* tiempo

Con los datos conocidos y el tiempo calculado previamente, es posible calcular la distancia horizontal que recorrerá la caja con medicina antes de caer al río, siendo la posición inicial en x igual a cero:

Posición final= 0 m + 70m/s* 8.33 s

Posición final= 583.1 m

La distancia horizontal que recorrerá la caja con medicina antes de caer al río es 583.1 metros.

Veremos que la distancia horizontal que recorre la caja es 583.1 metros.

¿Como encontrar la distanca horizontal recorrida?

Recordar que la velocidad vertical y horizontal son independientes.

Aqui, lo primero que debemos hacer es encontrar el tiempo que la caja tarda en llegar al suelo.

Para ello usamos la ecuación de movimiento vertical:

p(t) = (-4.9 m/s^2)*t^2 + v*t + h

Donde el primer termino representa la gravedad, el segundo la velocidad inicial (que es cero en este caso) y el tercero la altura inicial, que es 340m.

p(t) = (-4.9 m/s^2)*t^2 + 340m

La caja llegara al suelo cuando la función de arriba sea igual a cero:

(-4.9 m/s^2)*t^2 + 340m = 0

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Es decir, la caja tarda 8.33 segundos en llegar al suelo.

Esto significa que la caja se va a mover horizontalmente durante 8.33 segundos con una velocidad de 70m/s (la que tenía el avion). Es decir, la distancia horizontal que se mueve la caja es :

D = 8.33s*(70m/s) = 583.1 m

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/25316464

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Answers

Answer:

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Explanation:

Force Equation

F=ma

Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration. We use Newtons, kilograms, and meters per second squared as our default units, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour per second, millimeters per second2, etc.) could certainly be used as well - the calculation is the same regardless.

Solve

F = m * a

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F = 987600 N

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Answers

Answer:

D. The tea loses heat to the spoon causing the spoon to become warmer

Explanation:

When the silver spoon at a lower temperature than the tea, is added to the tea, it makes thermal contact. Hence, the heat transfer starts between the two until the equilibrium is reached. We know that the heat transfer takes place from the body with a higher temperature to a body with a lower temperature. As a result, the body with higher temperature loses heat and its temperature lowers down. While the body with a lower temperature gains heat and its temperature rises.

Therefore, the correct option is:

D. The tea loses heat to the spoon causing the spoon to become warmer

NO LINKS PLEASE. brainly to the best answer.
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Answer:

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Explanation:

Suppose you are working on green house, which light you would
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Answer:

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Explanation:

Answer:

HPS lighting or LED light

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smh

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Question 4
1 pts
If you have a voltage of 120 volts entering your house and a light bulb with
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Answers

Answer:

D. 75 watts

Explanation:

brainliest please? i've just answered 3 of your questions and they were all correct! :) i hope i helped!

Answer:

(D) =75 WATTS

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Answer:

head

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