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
Ratling [72]
3 years ago
12

You drop a stone down a well that is 19.60 m deep. How long is it before you hear the splash? The speed of sound in air is 343 m

/s and air resistance is negligible.
Physics
1 answer:
ki77a [65]3 years ago
3 0

So, the time needed before you hear the splash is approximately <u>2.06 s</u>.

<h3>Introduction</h3>

Hi ! In this question, I will help you. This question uses two principles, namely the time for an object to fall freely and the time for sound to propagate through air. When moving in free fall, the time required can be calculated by the following equation:

\sf{h = \frac{1}{2} \cdot g \cdot t^2}

\sf{\frac{2 \cdot h}{g} = t^2}

\boxed{\sf{\bold{t = \sqrt{\frac{2 \cdot h}{g}}}}}

With the following condition :

  • t = interval of the time (s)
  • h = height or any other displacement at vertical line (m)
  • g = acceleration of the gravity (m/s²)

Meanwhile, for sound propagation (without sound reflection), time propagates is the same as the quotient of distance by time. Or it can be formulated by :

\boxed{\sf{\bold{t = \frac{s}{v}}}}

With the following condition :

  • t = interval of the time (s)
  • s = shift or displacement (m)
  • v = velocity (m/s)

<h3>Problem Solving</h3>

We know that :

  • h = height or any other displacement at vertical line = 19.6 m
  • g = acceleration of the gravity = 9.8 m/s²
  • v = velocity = 343 m/s

What was asked :

  • \sf{\sum t} = ... s

Step by step :

  • Find the time when the object falls freely until it hits the water. Save value as \sf{\bold{t_1}}

\sf{t_1 = \sqrt{\frac{2 \cdot h}{g}}}

\sf{t_1 = \sqrt{\frac{2 \cdot \cancel{19.6} \:_2}{\cancel{9.8}}}}

\sf{t_1 = \sqrt{4}}

\sf{\bold{t_1 = 2 \: s}}

  • Find the time when the sound propagate through air. Save value as \sf{\bold{t_2}}

\sf{t_2 = \frac{h}{v}}

\sf{t_2 = \frac{19.6}{343}}

\sf{\bold{t_2 \approx 0.06 \: s}}

  • Find the total time \sf{\bold{\sum t}}

\sf{\sum t = t_1 + t_2}

\sf{\sum t \approx 2 + 0.06}

\boxed{\sf{\sum t \approx 2.06}}

<h3>Conclusion</h3>

So, the time needed before you hear the splash is approximately 2.06 s.

You might be interested in
One mole of titanium contains how many atoms?
Vladimir [108]

Answer:

\boxed {\boxed {\sf D. \ 6.02*10^{23} \ atoms}}

Explanation:

One mole of a substance contains the same amount of representative particles. These particles can be atoms, molecules, ions, or formula units. In this case, the particles are atoms of titanium.

Regardless of the particles, there will always be <u>6.02*10²³</u> (also known as Avogadro's Number) particles in one mole of a substance.

Therefore, the best answer for 1 mole of titanium is D. 6.02*10²³ atoms.

3 0
3 years ago
Read 2 more answers
I need 4 answers for Earth's layers and 4 answers for the Descriptions for Earth's layers graphic organizer.
Arada [10]
Ok well have a nice day
3 0
3 years ago
A battery charger is connected to a dead battery and delivers a current of 3.5 a for 4 hours, keeping the voltage across the bat
oksano4ka [1.4K]
The power delivered is equal to the product between the voltage V and the current I:
P=VI=(16 V)(3.5 A)=56 W

This power is delivered for a total time of t=4h=4 \cdot 3600 s = 14400 s, so the total energy delivered to the battery is
E=Pt = (56 W)(14400 s)=806400 J=806.4 kJ
5 0
3 years ago
Why do the planets appear in different locations in the night sky while the pattern of stars in a constellation stays the same?
Goshia [24]
I'm sure you've noticed that an airplane high in the sky, far away
from you, looks like it's moving very slowly.  At the same time,
somebody passing you on a skateboard whizzes past you at
high speed.  The farther away something is from you, the slower
it appears to move.

The nearest star outside the solar system is almost 32 thousand times
as far away from us as the farthest visible planet (Saturn) is, and all of the
other stars are farther than that. 

That's why you have to wait a few thousand years before you notice
that the shape of a constellation has changed.

To put it a slightly different way . . . Everything is in motion.  The motion is
more noticeable for nearby things, and less noticeable for farther-away things. 
Objects within our solar system are the only ones near enough so that a human
lifetime is a long enough period in which to notice the change in their position.
Even Pluto moves less then 1.5° against the 'background' stars in a whole year.

This all makes me feel small.  How about you ?
7 0
3 years ago
Read 2 more answers
Newton's First Law says that an object at rest will stay at rest, and an object in motion will stay in motion unless:
Verdich [7]

Answer: Acted on by equal forces in opposite direction

Explanation:

Newton's First Law says that every body continue in its state of rest or constant speed on a straight line unless being acted upon by an external force.

6 0
3 years ago
Other questions:
  • How does conduction occur?
    9·1 answer
  • Latitude and longitude are the two coordinates that determine a specific point on the Earth’s surface. How does knowing the loca
    6·1 answer
  • Locate the complete verbal phrase and identify its type.
    8·2 answers
  • Define projectile in your own .​
    14·2 answers
  • Entropy is the amount of heat a system releases. true or false?​
    12·2 answers
  • Calculate the gravitational potential energy of a 2 kg banana hanging 5
    7·1 answer
  • PLEASE HELP I WILL MARK BRAINIEST!!!!!!!!! POSSIBLE ANSWERS BELOW!
    7·1 answer
  • Walk in a straight line at a constant speed. Now turn left. Did you accelerate? Explain
    13·2 answers
  • A Person is carrying 6kg in one hand and 5kg in another.Calculate the resultant force applied by him​
    12·1 answer
  • If the roller coaster car in the above problem were moving with twice the speed(20m/s), then what would be its new kinetic energ
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!