1.Use a stopwatch or any other kind of clock to measure the duration
of a "beep". Share your results.
a. List the measured time intervals in order of
size, with the shortest first and the longest last.
b. If it seems appropriate, cross out the highest
and lowest or the two highest and two lowest.
c. The list shows that the measured time interval
was probably between ____ and ____ seconds.
2. When you filled in the blanks in 1d you were describing the result
of a measurement in "range" form. If a weather forecast
predicts that "three to five inches of rain will
fall tomorrow night", the prediction has been made in ______ form.
3. Whenever you give the value of a quantity in range form, you give
two different numbers.
-The smaller one is called the "smallest likely
value", or "SLV".
-The greater one is the "__________ likely value",
or "____".
a. The SLV of the forecasted rainfall in #2 was
given as ___ ____. (Write a number with units.)
b. The __ LV of the forcasted rainfall was also
given as ___ ____.
4. If my reaction time is always exactly 1.00 second, then I will always
start my clock ____ sec after the beep begins and will
always stop my clock _____ second after the beep
ends.
a. The difference between my recorded result and
the true time interval will be ____ _____.
b. If a person's reaction time is always the same
then that person's beep-timing results will always be __________. (too
big,
too small, correct, unpredictable)
-Does 4a contradict 4b? ___
c. Suppose your reaction time is always 0.100 second,
and mine is always 1.00 second: Will you and I get different results
in the beep-timing experiment?
___ -Does 4c agree with 4b? ___
5. Did everybody get the same result when they timed the beep in #1?
____
* a. What does that clue tell you about our reaction
times?
Please answer with a statement on the back of this
paper. It must be short, clear and simple.
b. Does your answer to 5a contradict your answers
to #4? ___ (If so, you will get credit for neither.)
6. Find a stack of paper roughly two centimeters thick. (A physics textbook
is useful here.)
a. Measure its thickness as precisely as you can
with a centimeter ruler: Thickness = ____ cm.
b. Determine the number of sheets of paper in that
stack: N = _____ sheets
c. Divide to determine the thickness of one page:
( ____ ___ ) ÷ ( ____ ) = ______ cm.
d. Convert that result to scientific notation. Don't
forget the units! __________ ___
7. A "micron" is a convenient UNIT for page thickness. One micron is
one millionth of a meter, or 10-6 meter. We also know
that one meter is equal to ____ centimeters. (Please
use scientific notation.)
a. Using S.N. again, one meter = ____ microns. One
cm. = ___ microns. 102 cm. = ___ microns.
b. To convert from centimeters to microns in scientific
notation you add ___ to the exponent.
8. The page thickness in 6d was ______ ____. (number with units) The
exponent in that number was ___. According to 7b,
we can convert the page thickness to microns by
adding ___ to that exponent. Please round off the result to the nearest
whole number. Page thickness = _______ microns
9. Make a little box on the number line below to indicate your page
thickness. Then share your result with the class and make
boxes for everyone else's results. If two or more
people get the same result, then stack the boxes. A set of repeated
measurements displayed in this fashion is called
a "histogram".
______________________________________________________________________________
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60 62 64 66 68 70 72 74 76
78 80 82 84 86
a. Express the page thickness in "range" form, with
units, as you did in 1d. (Use 1c, use the histogram.)
"Page thickness is probably between ____ and _____
_______s."
b. Pretend that the boxes represent weights on a
stick. There is a certain spot where you can support the stick so that
it
balances. Indicate the location
of that spot on the number line.
c. The balancing point is the same as the average
of the measured values. We shall also call it the "MLV", or "most likely
value" of the _________
_________. (Copy the NAME of the measured quantity from #8 or #9.)