What is the Depth of the Well?

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In summary, the conversation revolved around a problem involving a pebble being dropped into a well and the time it takes for the sound of the splash to be heard. The question posed was how deep the well is if the speed of sound is 343 m/s. The conversation also touched on solving quadratic equations and the importance of showing one's work when seeking help.
  • #1
blair2707
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A pebble is dropped into a well. It takes 15 seconds for the sound of the splash to be heard. If the speed of sound is 343 m/s how deep is the well?

Please Help!
 
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  • #2
There was another recent problem in a similar vein. Can you try searching for it ?

This problem involves solving a quadratic equation. Do you know how to do those ?
 
  • #3
Since it's posted in the College section,it would be a shame if he didn't... :tongue2:


Daniel.

PS.Post your work.
 
  • #4
True. It seems strange that there's such a high degree of overlap between the standard of problems posed in the other forum and this one.
 
  • #5
Hey guys I posted this hoping for some help not attitude towards my question, isn't that what this forum is for?
 
  • #7
blair2707 said:
Hey guys I posted this hoping for some help not attitude towards my question, isn't that what this forum is for?

This forum is indeed to help.Did u read the "sticky" on top of the list of threads??

Post your work...

Daniel.

PS.We won't do the problems for you...
 
  • #8
help

hint: 15 seconds is the time it takes for the pebble to fall + the time it takes for the sound to travel back up the well. Since t is a known in the equation, and the pebble falls the same height the splashing sound travels, the solution is obtainable through a quadratic function of x. You know t=15, a=g=9.8, v=343...
 

What is the concept of "Pebble falling into well"?

The concept of "Pebble falling into well" is a thought experiment used to demonstrate the effects of gravity on objects. It involves dropping a pebble into a vertical well and observing its motion as it falls towards the bottom.

What factors affect the speed of the pebble as it falls into the well?

The speed of the pebble as it falls into the well is affected by several factors, including the height of the well, the mass of the pebble, and the strength of gravity. Other factors such as air resistance and the shape of the well may also play a role.

How does the distance between the pebble and the bottom of the well change over time?

As the pebble falls into the well, the distance between the pebble and the bottom of the well decreases over time. This is because the pebble is accelerating due to the force of gravity and is moving closer to the bottom of the well with each passing second.

What happens to the pebble when it reaches the bottom of the well?

When the pebble reaches the bottom of the well, it will come to a stop. This is because the force of gravity is no longer acting on it and it has reached its maximum speed. The pebble will then remain at rest at the bottom of the well until another force acts upon it.

How does the mass of the pebble affect its motion as it falls into the well?

The mass of the pebble affects its motion as it falls into the well in two ways. First, a heavier pebble will experience a greater force of gravity and will therefore accelerate faster than a lighter pebble. Second, a heavier pebble will also have a greater inertia, making it more difficult to change its state of motion. This means that a heavier pebble may have a greater tendency to continue falling straight down into the well, without being affected by air resistance or other forces.

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