The effect of height on percent
rebounds of dropped balls:
Introduction | Procedure | Picture | Data | Graphs
| Errors | Conclusion | Return to research
Isabel Juliana and Connor Bruno
Background: When a ball is dropped, the height
that it rebounds in never as high as the initial height because the kinetic
energy lost when the ball hits the ground. The ball sometimes makes an audible
sound and typically produces heat on impact, which causes it to lose kinetic
energy. Making the height it rebounds to less than the height it started at.
However, the amount of kinetic energy a ball has is slightly dependent on the
amount of potential energy it starts with, which could be affected by the
initial height of the ball.
Statement of question: The question that we chose to
investigate is does the height that you drop various different balls from have
an effect on the percent that the ball rebounds?
Variables:
Independent:
The height the ball is dropped from
Dependent: The
height the ball rebounds to/percent rebounds
Controlled:
Person dropping the ball. Camera is in the same spot.
Hypothesis: We believe that the percentage of
initial height a ball rebounds to will decrease as the initial height
decreases. This is because there is more potential energy the height up the
ball gets so the rebound has the potential to be greater.
Procedure:
First we
selected balls that are going to be dropped; we chose a red playground ball, a
blue racquetball and a softball. To measure the height we then made a backdrop
to drop the balls in front of, in the form of a huge ruler, we did a max of ten
feet with line for every foot. Then we set up a video camera filming in slow
motion and proceeded to drop all the balls from five different heights each and
each height twice. Once we had filmed all the drops, we did video analysis to
find the height that each ball rebounded. With that data we found the
percentage by putting height rebound over initial height.
Initial Height Vs. Rebound height
ball |
height (ft) |
rebound (ft) |
Percent (%) |
red playground |
10 |
6.371 |
0.6371 |
|
10 |
6.366 |
0.6366 |
|
8 |
5.414 |
0.67675 |
|
8 |
5.337 |
0.667125 |
|
6 |
4.027 |
0.6711666667 |
|
6 |
3.93 |
0.655 |
|
4 |
2.724 |
0.681 |
|
4 |
2.736 |
0.684 |
|
2 |
1.255 |
0.6275 |
|
2 |
1.304 |
0.652 |
softball |
10 |
3.171 |
0.3171 |
|
10 |
3.155 |
0.3155 |
|
8 |
2.571 |
0.321375 |
|
8 |
2.607 |
0.325875 |
|
6 |
1.946 |
0.3243333333 |
|
6 |
2.028 |
0.338 |
|
4 |
1.274 |
0.3185 |
|
4 |
1.261 |
0.31525 |
|
2 |
0.6778 |
0.3389 |
|
2 |
0.7008 |
0.3504 |
blue racquetball |
10 |
6.507 |
0.6507 |
|
10 |
6.393 |
0.6393 |
|
8 |
5.325 |
0.665625 |
|
8 |
5.334 |
0.66675 |
|
6 |
4.108 |
0.6846666667 |
|
6 |
4.211 |
0.7018333333 |
|
4 |
2.836 |
0.709 |
|
4 |
2.877 |
0.71925 |
|
2 |
1.497 |
0.7485 |
|
2 |
1.404 |
0.702 |
Uncertainty= (Max%
-Min %) /2
Red playground
ball uncertainty: .03%
Blue
racquetball: .05%
Softball: .01%
After examining
our data, we concluded that the percent of the initial height a ball rebounds
is directly affected by the initial height. As seen in the graphs above the
percent the ball rebounds to increases as the initial height decreases. It is
not a large effect, but the trend can be seen across all three balls and as the
height increases.
This experiment
and results could have been more supported if we had done more trials and had a
more stable camera setup for video recording making video analysis more
reliable. Another potential limitation could have been having a person dropping
the ball, we had the same person drop the ball and tried to drop them all the
same but there is always a potential for human error. Overall, we are pleased
with the results we got and find them fairly reliable for what we were trying
to learn and establish.
https://www.youtube.com/watch?v=ds7-VU4VrSo- This website really makes me think that bouncy balls can be very cheap and very effective
https://www.youtube.com/watch?v=pZlYl0l2lFs- This website is helpful to know how many types of ball bounce.
http://scienceline.ucsb.edu/getkey.php?key=2513- This website really gets into how balls bounce. Very helpful.
https://www.livestrong.com/article/147292-why-do-balls-bounce-differently/- This website is helpful in understanding how different ball bounce differently.
http://www.exploratorium.edu/baseball/activities/bouncing-balls.html- This website gives a great visual on how the balls change shape when bouncing.