03 Kinematics (2D) - Lab Report(3)
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Kinematics in Two Dimensions – Lab Report
Name:_____________________________
Section #: _____
_____________________________
_____________________________
Complete the “Calculations” document before you begin.
Measure the height of the launch position (the
symbol) above the table.
y
= ______ cm
Part 1: Vertical Launch
CAUTION:
Only use the first launch position (“short range”).
Using the “high range”
launch position will cause the ball to hit the ceiling.
If the ball hits the ceiling, you
may not be allowed to complete the lab!
Rotate the launcher so that it is pointing straight up (the onboard protractor should read
90 degrees).
Fire the ball and measure the maximum height
above the launch position
the ball attains.
(
Friendly reminder: this is NOT the height from the top of the
table.
)
Repeat this process 5 times.
Record this information below.
Run
Height (cm)
Run
Height (cm)
1
4
2
5
3
6
Determine the mean height above the launcher and the statistical uncertainty of your
measurement.
Height = ______ ± ______ cm
How did you calculate the statistical uncertainty?
Determine the initial launch velocity of the ball using the formula from
Part 1
of your
“Calculations” document.
(
Be careful about the units
.)
v
0
= _________ m/s
1
Part 2: Horizontal Launch
CAUTION:
Only use the first launch position (“short range”).
Otherwise, your results
will be wildly inconsistent and you will do poorly on the last section of the lab.
Rotate the launcher so that it is pointing horizontally (the onboard protractor should read
0 degrees).
Fire the ball and measure the distance between
the base of the launcher
below the launch point
and where the ball hits the table.
It may be helpful to use
something like a book bag as a backstop to keep the ball from rolling off the table.
Repeat this process 5 times.
Record the distance of your horizontal launch trials.
Don’t forget,
this is the horizontal
distance from the launch position,
NOT
the distance from the base of the launcher
.
Run
Distance (cm)
Run
Distance (cm)
1
4
2
5
3
6
Determine the mean distance from the launcher and the statistical uncertainty of your
measurement.
Distance = ______ ± ______ cm
Determine the time the ball will remain in the air using the formula from
Part 2
of your
“Calculations” document.
(Careful about the units.)
Do NOT use the value of
v
0
from
Part 1.
t
= _______ s
Determine the initial launch velocity of the ball using the formula from
Part 2
of your
“Calculations” document.
(Careful about the units)
v
0
= _______ m/s
2
Part 3: Comparing Results
You should now have two different measurements of the initial launch velocity of the
ball.
The percent difference is computed as follows:
percent
difference
=
|
measured value 1- measured value 2
|
0.5
×(
measured value 1
+
measured value 2
)
×
100%
Determine the percent difference of your measurements.
Also determine the average of
the two measurements (show your work for both calculations).
If your percent
difference is larger than 5%, let your professor know.
% error = ______
v
avg
= ______ m/s
Part 4: Shootin’ For All the Marbles!!!
Ask your professor to pick an angle at which to set your launcher.
Then measure the
height of the table.
(Remember, the launch height will be the height of the table plus the
height of the launcher!!!)
Angle = _____°
(Assigned by the professor)
Table height = _______ cm
Launch height = _______ cm
Aim your launcher over the edge of the table.
Do NOT fire your launcher!!!
Firing the
launcher before being instructed to do so will result in failing this section of the lab or
being assigned a new angle.
1.
Draw a diagram of the situation, clearly labeling
v
0
,
d
,
h
,
θ
, and your
origin.
2.
Use your knowledge of vectors to break the initial velocity into x- and y-
components.
Draw a diagram of the initial
v
0
vector and show your work.
Use
your average velocity from Part 3 as
v
0
.
v
0
x
= ______ m/s
v
0
y
= ______ m/s
3
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