Comparison of the Speed of Sound and
the Speed of Light
- Your task is to complete the following essay using the needed data
and information collected from whatever source may be at your disposal
in room 416.
-
- It was a dark and stormy night...(solve the mystery presented to you
by the strange visitor to your office of detectives. This mystery is [How
long would it take sound to travel from the sun to each of the planets
(if it could pass through the almost 'mediumless' distances of space) and
how does that compare with the time necessary for light to travel those
same distances?]...and then perhaps this was all my imagination working
overtime...
-
- Classes will decide on the favorite essays and they will be published
at this site.
Sarah, Courtney, and Kristina
-
TIME'S MYSTERY
- It was a dark and stormy night . . . My partner
and I were sitting around the office playing 'Go Fish'. My name's Sarah
....., private eye. My partner, Annie, was just about to pick a card when
a knock came on the door. "Come in." I called.
-
- In walked the most mysterious man I had ever
seen. He had dark brooding eyes and black disheveled hair, He held in his
hand a black top hat, He gave the impression that he hadn't slept in weeks.
"I need your help." He said. It was more a plea than any thing
else.
"What's the problem?" I asked, carelessly tossing a card aside.
"Well, you see, I don't quite know, that's the thing." He turned
toward the door as if to leave but instead took a deep breath and turned
back. He opened his mouth to say something, but closed it again.
"Then why did you come here?" my partner asked slowly.
"It's these dreams" he replied, now intent on studying his shoes.
Out of the corner of my eye, I could see Annie's eyebrows raise and the
corners of her mouth start to quirk upward, I shot her a glance then said,
"Please continue."
"Like I said, it's these strange dreams I've been having over and
over again." He started to pace the length of the room. "It's
gotten so bad, that I'm afraid to go to sleep, and I just lie awake thinking
about them, and I just have to know!" He stopped pacing.
"Don't you think a sleep therapist would be more appropriate?"
Annie said wryly.
"No!," he shot back frantically, He started to pace again. "In
these dreams, I see a man standing on the corner of a street asking people
if they know what 'it' is, They always nod yes, but when he gets to me,
I ask him what 'it' is. He says, 'why the time it would take light and
sound to travel from the sun to each of the planets, of course!' Then he
goes on to the next person. He won't tell me anything else. I don't know
why but I need to find out, But wherever I look, the answer's not there.
That's why I've come here. Can you help me?" He stopped pacing to
look hopefully at me.
How could I say no?
"We'll try," I said finally. "Come back in twenty-four hours
and we'll have your answers."
The man looked considerably relieved as he turned to walk out the door.
"Wait!" I called after him. "I don't have your name."
"Richard Johnson," he called back, and then he was gone.
"They get stranger and stranger every day," Annie muttered.
I sighed then grabbed my coat from off a chair. "Come on, we've got
work to do."
Our first stop was the local library, Even as we walked in, I knew something
was wrong, The place was mainly deserted. Usually it was busy. The librarian
was no help either. She turned quite pale when we told her of our plight
and mentioned Richard Johnson's name. Then she told us she couldn't help
us, Couldn't or wouldn't? I thought.
Finally, we wended our way back to a part of the library I hadn't seen
before. There Annie spotted an old leather bound book resting on a podium
against the wall. On the cover, in gold print, were the words: THE BOOK
OF KNOWLEDGE. Annie flipped the book open and as if the words were highlighted,
our gaze was drawn to a certain paragraph that read, 'The speed of light
travels at 300,000 km/s but the speed of sound travels at 332 m/s.' I took
out my handy notepad and pen, jotted down the numbers, then turned to Annie.
"Where to now?" she asked.
After questioning a very uncooperative source, we then proceeded to the
science laboratory on 42nd Street. But when we knocked on the door, we
were denied admittance by a very stout man with a big bushy beard. When
the door was closed in our face for the third time, I turned to my partner
and said, "Well you know what we have to do now."
"Does this mean I have to get my lock picking kit out again?,"
Annie asked.
Around midnight, Annie and I were sneaking around the laboratory, after
Annie had skillfully picked the lock open. We headed straight for the main
computer, I sat down and opened the hard drive file and found the document
I was looking for. The document was encrypted well, but was no match for
my skill, I decoded it in no time. We found the page containing the distances
from the sun to each of the planets, It was the last piece to this strange
and twisted puzzle.
Once back in the office, we tried to make sense of the information. The
distance from the sun to each planet was written in scientific notation,
so by converting the speed of light and sound to scientific notation, I
was ready to calculate.
First, I took the distance to mercury, 5.79 x 10(lO)s, and divided it by
the speed of sound, 3,32 x 10(2) m/s and got 1.74 x 10(8) s. I repeated
the steps except I used the speed of light instead of the speed of sound.
I calculated it for all the other planets in the same fashion, our results
were:
-
- Distance from sun to: Time for sound: Time
for light:
Mercury- 5.79xl0(lO)m 1.74xlO(8)s 1.93xlO(2)s
- Venus- 1.08xlO(11)m 3.3xlO(8)s 3.6xlO(2)s
- Earth- 1.5xlO(11)m 4.5xlO(8)s 5xlO(2)s
- mars- 2.28xlO(11)m 6.9xlO(8)s 7.6xlO(2)s
- Jupiter- 7.78xlO(11)m 2.34xlO(9)s 2.59xlO(3)s
- Saturn- 1.43xlO(l2)m 4.3xlO(9)s 4.29xlC(3)s
- Uranus- 2.87xlO(l2)m 8.6xlO(9)s 9.5x1O(3)s
- Neptune- 4.5xlO(l2)m 1.35xlO(lO)s 1.5xlO(4)s
- Pluto- 5.91xlO(l2)m 1.78xlO(10)s 1.97xlC(4)s
Exactly 24 hours from the first encounter, Richard Johnson came back. The
first thing I noticed was that he was wearing the same clothes held worn
the day before in exactly the same fashion, Except today he was a little
paler. He took his hat off and set it down on a nearby chair. "Did
you find it?," He asked hopefully.
"Yes, we found it." Sarah said, handing the paper to him.
He gave a sigh of relief, and a ghost of a smile past over his lips. "Thank
you, thank you so much!" he exclaimed. "How will I ever repay
you?"
"Don't worry about it, it's on us," I replied with a smile. I
could see my partners eyebrows lift, but she said nothing.
When Richard left, I noticed his hat was still on the chair, I went out
into the hallway, but he was already gone. Annie picked up the hat then
walked over to where I stood. "Hey, look," she said. In the brim
of the hat was written, Richard Johnson, 213 Herald's Avenue.
"I guess that's where he lives. Well, off we go!" I said, walking
down the hall with Annie close behind.
Fifteen minutes later we stood before an apartment complex, we walked into
the lobby, and I went to the front desk and rang the little bell. An immaculately
tailored receptionist came to us.
"May I help you, ladies?" he asked, eying us suspiciously.
"Yes. Does a certain Mr. Richard Johnson live here?"
"Mr. J-Johnson?" the man stammered.
"Yes, Mr. Johnson."
"He hasn't lived here since a year ago today."
"Oh, did he move?" I inquired.
"No, he's dead."
Annie's mouth dropped open.I was not so easily astounded. "There must
be some mistake."
"Did he have dark eyes and black hair?"
"That's the one. He always rambled on about planets and dreams. He
was a peculiar sort, he was," the man finished.
"Oh d-dear, Well I think we should be g-going now. Have a nice day!"
I called as Annie and I hurried out the door and onto the vacant street.
Neither of us said anything as we walked slowly home. Was the receptionist
telling the truth? If so, who was the man who came to us just yesterday?
Why did I have that gut feeling it wasn't appropriate to charge him for
our services? was the fact that he lived on 'Herald' Avenue just a coincidence,
or was Richard Johnson some kind of interplanetary traveler whose cosmic
clock had gone out of whack? An angel perhaps...or then again maybe it's
just my imagination.
-
- Sarah
- (To e-mail Sarah with your response to
her essay, click here.)
It was a dark and stormy night, and I was shuffling through a stack of
papers on my desk. Business had slowed down since I failed to find the robber
of the McKinley estate, and I yearned for a client. A clap of thunder shook
the office building, and almost instantly, my office went black. I backed
up my office chair and fumbled around in my filing cabinet for an extra
candle and some matches, There were footsteps outside my door, and a click
of the doorknob as someone (or something) stepped in my office.
"Need a light?" A masculine voice seemed angelic in the darkness
of my office. A lighter clicked, and at once, my office was illuminated
with the light of a candle.
His attractive face was tan with a square jaw, He was unshaven, and through
the stubble I could see years of pain and worrying upon his young face.
"The name's Smith," He took off his hat and seated himself
in the leather chair '-, front of my desk, "and I need your help."
Finally a case. I stood up and took the candle to my desk, "How
can I help you Mr. Smith? Was it robbery? Homicide? UFO sighting? Kidnap-"
"Actually, Detective Black, I was needing your assistance in a little
science matter. If sound could travel through space to all the nine planets,
what would it be like compared to that of light? I know it's a little bit
of an odd case, but I need it for a term project. I was hoping you could
help me."
The pencil I was holding went to the floor and my mouth went along with
it. I stood up and glared at his sky blue eyes. "Do you call this a
joke young man? This is a serious business, and I don't have time for childish
games. If you are joking about this, I demand that you get out of my office.
NOW!"
He remained in his seat. "Ma'am, I didn't mean to aggravate you.
This is no joke. I really need your help, 'Will you take my case? If you
need to sleep on it, I can wait until tomorrow, but then I really need your
decision." He stood up and replaced his worn hat. I handed him my business
card, and at that point the lights came back on,
"Here. Call me tomorrow, and I'll tell you my decision. Good night."
I got up and showed him to the door and watched him walk down the hall.
-----------------------------------------------------------------------------------------------------
Early the next morning, my office phone rang. It was Mr. Smith, and I
told him I could take the case. We agreed to meet at the local library to
do research on the subject. At 10:00 a.m. sharp, we were both seated at
a corner table in the library. There were piles of books, encyclopedias,
and dictionaries all around us.
"The first thing we have to do is figure out the distance from each
planet to the sun. You take Pluto, Neptune, Uranus, and Saturn, and I'll
take Jupiter, Mars, Earth, Venuss, and Mercury, OK?" I instructed my
client as where to start.
So we started. Fiften minutes later we had all of the distances from
each planet to the sun. We recorded them down in a chart that organized
Mr. Smith had arranged for us, Our next task remained at large. We figured
that a little lunch could help, so we walked two blocks to a little corner
cafe on 13th and West Hill streets.
While eating his turkey sandwich, Smith suddenly called out a jumble
of sentences. 'Schpeed ofz liteje, ands sounfs!'
I stared at him like he had a foreign disease until he swallowed his
food and repeated himself.
"I said find the speed of sound and light! That's our next step!"
I could see his lace light up at his new discovery, and I felt mine fall
at the lack to. I was failing as a detective. I guess he must have noticed
my lack of enthusiasm too, because I saw concern across his face. He got
up and put a ten dollar bill on the table, and walked out of the cafe.
------------------------------------------------------------------------
Back at the library, Mr. Smith as already at work. He had searched through
our resources looking for the speed of sound and light. He had found them,
and very quickly at that. He wrote them down and showed them to me first
thing when I alked in the library. 300,000 km/s is the speed of light, and
332 m/s is the speed of sound. I had once again failed at my job. Why couldn't
he realize that this was my job?
"Scientific notation." His voice sounded gruff from behind
an encyclopedia.
"Euh?" I put my book down.
"Scientific notation is our next step. We have to change the speed
of light to meters per second, and then we have to take the distance from
the sun and put it in scientific notation. Then divide it." He sounded
ashamed or embarrassed about his discoveries, and for a second I was mad
too, but then I was proud of him. "We do that for both speed and sound.
I think we should put it all together in one chart, and it would be easier
to read."
So we did. Our chart looked something like this.
- Distance from sun to: Time for sound: Time
for light:
- Mercury- 5.79xl0(lO)m 1.74xlO(8)s 1.93xlO(2)s
- Venus- 1.08xlO(11)m 3.3xlO(8)s 3.6xlO(2)s
- Earth- 1.5xlO(11)m 4.5xlO(8)s 5xlO(2)s
- mars- 2.28xlO(11)m 6.9xlO(8)s 7.6xlO(2)s
- Jupiter- 7.78xlO(11)m 2.34xlO(9)s 2.59xlO(3)s
- Saturn- 1.43xlO(l2)m 4.3xlO(9)s 4.29xlC(3)s
- Uranus- 2.87xlO(l2)m 8.6xlO(9)s 9.5x1O(3)s
- Neptune- 4.5xlO(l2)m 1.35xlO(lO)s 1.5xlO(4)s
- Pluto- 5.91xlO(l2)m 1.78xlO(10)s 1.97xlC(4)s
When we had arranged the information into a chart, my client looked at
me with a grin on his face that nothing could compare to.
"Detective Black? We have done a superb job with my case, and I
thank you for your help." He stood up and gathered his papers.
"Wh-what about the answer?" I stood up and gapped at him?"
"Oh the coparison? Easy. It's impossible; sound can't travel through
space because there aren't any mediums, But if it could, light would still
go much faster. Millions of times faster."
And then he reached in his shirt pocket and pulled out a business card,
handed it to me, and then walked away. As he walked out the library door
with a stack of papers in his arms, I read his business card -- Sherlock
Holmes- Private eye ...
...But then again, maybe it was only my imagination.
- Courtney
- (To e-mail Courtney with your response
to her essay, click here.)
It was a dark and stormy night and a man walked in drenched with rain
water and sobbing in tears. Then he took off his mask and revealed a horrible
sight. It was an alien. He missed his ship and he has to get in contact
with his alien family in ten days or he would die. We asked him how he missed
it and where he was from. All he said was in his world there is nine days
in their week and for every day they traveled to a different country because
their ship can fly as fast as the speed of light.
- Distance from sun to: Time for light:
- Mercury- 5.79xl0(lO)m 1.93xlO(2)s
- Venus- 1.08xlO(11)m 3.6xlO(2)s
- Earth- 1.5xlO(11)m 5xlO(2)s
- mars- 2.28xlO(11)m 7.6xlO(2)s
- Jupiter- 7.78xlO(11)m 2.59xlO(3)s
- Saturn- 1.43xlO(l2)m 4.29xlC(3)s
- Uranus- 2.87xlO(l2)m 9.5x1O(3)s
- Neptune- 4.5xlO(l2)m 1.5xlO(4)s
- Pluto- 5.91xlO(l2)m 1.97xl0(4)s
We go into a conversation and all of a sudden he let out a loud horrendous
screech. We plugged our ears immediately. We then asked him how we could
get in contact with his family and when he said, "By the screeching
noise I just made." We asked when and where did he want to make this
sound. He said, "At the top of the highest building."
So we took him there. Then he let out the loud horrendous sound. We didn't
know how long it would take, but this is what we thought.
- Distance from sun to: Time for sound
- Mercury- 5.79xl0(lO)m 1.74xlO(8)s
- Venus- 1.08xlO(11)m 3.3xlO(8)s
- Earth- 1.5xlO(11)m 4.5xlO(8)s
- mars- 2.28xlO(11)m 6.9xlO(8)s
- Jupiter- 7.78xlO(11)m 2.34xlO(9)s
- Saturn- 1.43xlO(l2)m 4.3xlO(9)s
- Uranus- 2.87xlO(l2)m 8.6xlO(9)s
- Neptune- 4.5xlO(l2)m 1.35xlO(lO)s
- Pluto- 5.91xlO(l2)m 1.78xlO(10)s
Then it came. The glowing ship. In 60 seconds he was gone, but then again,
maybe all this was just my imagination working overtime.
- Kristina
- (To e-mail Kristina with your response
to her essay, click here.)
Melissa and Chris
This activity directly relates to the Harrison
School Improvement Action Plan.
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to Dr. Brown's Physical Science Page