F = MA 2011 # 14 (Creating a uniform sound)

In summary, the conversation discusses a conceptual question regarding the spacing of objects in relation to time and acceleration. The solution involves using a parabolic function, specifically s=1/2 a t^2, to determine which arrangement of objects results in a uniform sound. The conversation also mentions the importance of experimentation and critical thinking in reaching a conclusion.
  • #1
SignaturePF
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Homework Statement


See:
https://aapt.org/physicsteam/2012/upload/exam1-2011-1-3-answers_1.pdf
Number 14


Homework Equations


None that come to mind


The Attempt at a Solution


I think this is a conceptual question where each needs to be more proportionally spread apart because it takes longer to reach the next object after colliding with the one before it.
 
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  • #2
You could work it in reverse imagine you are accelerating upward and use the s=1/2 a t^2

And so every second you are following a t^2 path which if you recall is something like:

1,3,5,7 separation between points which is 1,4,9,16
 
  • #3
What is a t^2 path - where did you get those numbers (1,3,5,7) from?
 
  • #4
have you ever plotted y=x^2 with x=0,1,2,3,4 and get y=0,1,4,9,16 then if you take the differences between each point you get 1,3,5,7 right?
 
  • #5
Yes but how does that relate to this question? And why would you take the difference?
 
  • #6
SignaturePF said:
Yes but how does that relate to this question? And why would you take the difference?

If you look at the spacing of pointsfor D they follow the 1,3,5,7 sequence or if you number the points from the bottom you get 1,4,9,16 so right there you know you have a parabolic function.

In contrast E tries to fool you as the points are spaced at 1,4,9,16 so might conclude that E is the answer.

and A isn't spaced as a parabola and is backwards
and B is evenly spaced so that's not a parabola
and C is spaced like A but still isn't a parabola
 
  • #7
And how does a parobolic function signify that the sound is uniform?
 
  • #8
when things fall the follow s=1/2 a t^2 equation right? and that's a parabolic equation in t.
 
  • #9
Ok so that makes sense as to why its uniform?
 
  • #10
so what's left is for you to think about it a bit. You could even do the experiment and listen to the sound.
 
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FAQ: F = MA 2011 # 14 (Creating a uniform sound)

What does F = MA mean?

F = MA is a formula that represents Newton's second law of motion, which states that the force (F) applied to an object is equal to the mass (M) of the object multiplied by its acceleration (A).

How is F = MA used to create a uniform sound?

In the context of sound, F = MA can be used to explain how sound waves are created and travel through a medium. The force (F) applied to an object, such as a string or air molecule, causes it to vibrate and produce a sound. The mass (M) of the object determines the frequency of the sound, while the acceleration (A) determines the amplitude or loudness of the sound.

Can F = MA be applied to all types of sound?

Yes, F = MA can be applied to all types of sound, including both audible and inaudible sounds. However, the specific values of force, mass, and acceleration may vary depending on the medium and object producing the sound.

How does F = MA relate to musical instruments?

F = MA plays a crucial role in the production of sound in musical instruments. The force of a musician's fingers or breath on the instrument causes it to vibrate, while the mass and shape of the instrument determines the frequency and quality of the sound produced.

Is F = MA a universal law?

Yes, F = MA is considered a universal law because it applies to all objects and phenomena in the physical world. It is a fundamental principle in physics and is used to explain many natural phenomena, including the creation of sound.

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