Transcript Intro to Physics Trimester Project

Roller Coaster Project
Kelsey Morris,Eugene Hamzezadeh,Jayce
Patton,Mariah Mayhugh
Video
Our Roller
Coaster!!!!
Objectives:
Our objective was to create the worlds longest
rollercoaster as a scale model.
Background facts and figures
The longest rollercoaster the Steel Dragon: 8,133 feet
This rollercoaster is: 9,000 feet
That is….2.7432km
We ran this several times and it’s average time is 34.12 seconds.
The mass of one minecraft train car is 100kg.
Scale Model
Time= 34 seconds (solve for x to figure out actual distance of model roller
coaster to create a scale)
x = xo + vot + ½ at2
Knowns:
½(9.8m/s^2)
x= ????
+ 1/2(96.04)
x0=0
v0=0
t= 34 sec
a= 9.8 m/s^2
x = 0 + 0(34) +
x = 34
x = 34 + 48.02
x = 82.02
Linear
Linear Section 1:
Rise over Run=¼
1*34=34m/s
Gravity=9.8m/s
y=1/4x
Linear Section 2:
Rise over Run=-1
-1*36= -36
Gravity=9.8m/s
y=-x+20
Parabola
y = a(x-h)2+k
y=a(x-48)2+30
1=a(9-48)2+30
1=a(-1521)+30
-29=a(-1521)
-29/-1521=a
a=0.02
y=0.02(x-48)2+30
Static and Kinetic Friction
(Disclaimer There is no friction in minecraft so we used the average friction of a real
roller coaster which is 0.8 for Kinetic and 0.16 for Static)
Static:
F ≤ Mus*Fn
F≤0.16*1960
F≤313.6N
Kinetic:
F=Mᶙ*Fn
F=0.8*1960
F=1156N
G-Force
The g-force acting on an object under acceleration.
Fg=ma
Fg=100kg(0.3) The g-force acting on an object under acceleration
Fg=30G’s
may be downwards, for example when cresting a sharp
hill on a roller coaster. If there are no other external
forces than gravity, the g-force in a rocket is the thrust
per unit mass.
A human body can withstand high amounts of g force for a short amount of time, but if
left to suffer throuh more than the body can withstand Some effects of G-force are
broken bones and tamages tissue.So our rolercoaster is safe because, our g-force is
30G’s.
The Loop
Accelerationacceleration= gravity✖momentum/radius^2
Ffric = ukFn
Fkineniticfric = .12*100kg*9.8m/s = 117.6 N
Ffric = usFn
Fstaticfric = .7*100kg*9.8m/s >= 686 N
a=GM/r^2
a=9.8(m)/
MomentumM=mass*velocity
100kg*4.54m/s
454m/s
Power (going up first hill) - P = W/t
Radius: 6 meters
Period (T) : 2 sec.
EF = m*a
EF = 100kg*9.8m/s
EF = 980 N
Speed/Velocity
It has the highest speed/velocity during the
freefall because there is no friction during the
freefall.
Speed is just how fast your going, while velocity
is how fast and in what direction aka vector.
Calculations for Freefall
KE=½ mv^2 = 0.5*100*9.8^2= 4802J
P(power)= P=W/t=19,600/2=9,800
P(momentum)=m*v=100*9.8m=980 kg*m/s
Acceleration=Gravity=9.8m/s
G-Force. Mass = 100kg.
F = ma 100kg*9.8m/s
980N
x = 48
Average Speed
Rate=Distance/Time
Linear Sections- 34.12m/s
Hill- 34.12 m/s
Free Fall- 9.8m/s
Energy & Momentum Questions
The conservation of energy theory applies to our rollercoaster because our
rollercoaster keeps using its energy to continue down the track. If it didn’t our
rollercoaster would stop. Energy is conserved during all the downhill section.
The conservation of momentum theory applies to our rollercoaster
because our momentum is conserved and only some of it is lost due to friction.
Energy is conserved during the uphill section of the parabola.
We knew because our rollercoaster cart’s mass was 100 kilograms which
with the slope downhill was enough to keep the cart going, all the way up the
the parabola. Because of our downhill slopes, it generates enough force to
push it all the way up the hills, and over the loops evening everything out.
Newtons Laws
Our roller coaster adheres to Newton’s first law because an object in motion tends to stay in motion,
so our coaster tends to stay in motion once started.
Newton’s second law states that the more mass an object has the more force it
takes to make it move. Our rollercoaster adheres to that because it take a lot of velocity to make it go
up a hill.
Newtons Third Law
Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The
statement means that in every interaction, there is a pair of forces acting on the two interacting
objects. The size of the forces on the first object equals the size of the force on the second object. So
in this case of the roller coaster, when going up a hill, it need’s power to maintain speed...otherwise all
the weight will pull the cart backwards. The gravity downward needs power for it to be pushed upward.
Self-Reflection and Team Evaluation
Mariah ~ I felt like all team members contributed, and my team worked very well together. I enjoyed
making the presentation. The math wasn’t my favorite but working with my friends made me happy :)
Kelsey ~ I agree that this group was successful we all made sure that we were on task! When I was
crowded by distraction Eugene, Mariah, and Jayce helped me get on task.
Jayce ~I believe we all put effort into the assignment and tried our hardest and did all we could.
Eugene ~ I felt like we all helped each other stay on task and all contributed equally to the project.
In Conclusion, everyone did his or her part in the project! We had a great time working together and
get along most of the time. Every group member did their part and overall, it was successful.
Mariah’s Slide
I contributed much of the math/pre-physics
calculations, as well as input for ideas. I did
fulfill my role and the team worked well
together. I enjoyed watching the coaster and
working on the coaster, however I did not enjoy
the calculations. I think teachers should make it
a simpler project.
Eugene ~ I felt like we all helped each other
stay on task and all contributed equally to the
project. I believe that our group did work
together well and contributed to the final
product. I liked Building the rollercoaster. Next
time I would make a bigger rollercoaster. I think
that the teachers shouldn't ask about electricity.
Thats not in our unit.
Kelsey’s Slide
I checked over work, and did most of the
designing in our presentation! When I was
unable to work with my group because I was
doing another class, they organized it and gave
me a section to do. We all helped each other
keep on task! Overall it was very successful.
Jayce’s Slide
I worked as best as I could but I had other
classes.I tried my best to help the group and
get the project finished. And they helped me
keep on track. And I did awesome on the
parabola page.
Sources
ThrillRide! Photo Shoppe
Desmos Graphing Calculator
Nasa.Gov
Wordpress
Maroon Weekly
Coaster At Sunset wallpapers HD free
The Loop-Da-Loop