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LESSON 5
I
I
NVESTIGATING
NVESTIGATING
V
V
ARIABLES
ARIABLES
IN
IN
A
A
L
L
OOP
OOP
S
S
YSTEM
YSTEM
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4. Ask the students to record their findings by:
a. Constructing a line graph of their data. The mass of the ball should be recorded on the x-axis
and the speed needed to keep it in the loop on the y-axis.
b. Writing a paragraph about the shape of the graph of their data.
Whole Class
5. Each group should be given the opportunity to share and discuss the shape of their line graphs
with the rest of the class.
6. They should discuss what conditions, if any, could be changed on a roller coaster so that the
coaster car does not have to go as fast in order to go through the loop. Students should also
discuss other factors that impact a coaster car traveling through a loop.
REVIEW
The key concepts to be reviewed in this lesson involve the components of the formula for
determining speed, as well as calculating the force needed to keep the ball on the track to make
it through the loop.
ASSESSMENT
Students will calculate the force needed for a ball, with a different mass, (provided by the teacher,)
to complete the loop.
Science notebooks/journals.
WEB SITES
http://www.glenbrook.k12.il.us/gbssci/phys/mmedia/circmot/rcd.html
This web site has an animation about the forces needed to have a roller coaster go through a loop.
http://www.pen.k12.va.us/Pav/Science/Physics/book/LoopDesign/home.html
Another web site describing the loop in a roller coaster.
http://www.funderstanding.com/k12/coaster/
This web site allows students to change the shape of a “coaster” to see what happens.
Am usement Par k Ex perienc e
C = mv
2
r
Where:
C=the minimum force needed to keep the ball in the loop
r=radius of the loop
m=mass of the ball
Note: C is the minimum force needed to keep the ball in the loop since it is assumed that the
pressure from the track is zero. Students calculated this force in Step 2c above.
c. Find the radius from the center of the loop (or circle) to the track at the top of the loop.
This must be measured in meters.
d. Calculate the speed needed to keep each of the balls on the track/in the loop by solving for v
i
n the following formula:
33


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