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Rat rod vs Lambor

Tuesday, June 7, 2016

Better Safe Than Sorry

What was the challenge?

The main idea of this project was to use the physics concepts that we have learned in class to design and understand the safety mechanisms in cars. Such as, brakes, seat belts, air bags, frontal crumple zones or by simply using vehicle mass. To show our understanding of these concepts, we were told to build a safe car by incorporating these safety mechanisms, by using some of the materials provided (spaghetti, tape, cotton, clay, dough, aluminium foil, a passenger compartment, etc) and by following guidelines that prohibits you from using certain material in certain parts of the car. The problem that we were faced with here is that there would be a raw egg inside the car to act like a passenger. And when designing the car, students were only allowed to use one safety mechanism in their vehicle.The goal of this was to protect the egg from breaking after traveling down an approximately a ramp of 48 centimeters in altitude.


How did you choose to approach the challenge?

To deal with this challenge, my partner and I decided to create a frontal crumple zone, in other words a bumper, that will absorb the impact of the crash effectively,and stop the forces from impacting the egg itself. We did this by using certain amounts of materials such as cardboard, tape, plastic box as our passenger compartment, and scissors. We tried to design the car as simple as possible so that the mass of the car will be lighter, therefore the car won't be able to gain much speed while it speeds down the ramp.





Our design was like a spring inspired bumper as we folded the cardboard in order for it to look and act like  spring, so in the end, our design practically looked like a car with a gigantic spring for its bumper. The reason why we designed the bumper as a spring like shape was because we thought that as the impact of the force will start pressing the spring, the spring will shrink and start reducing the amount of force from the crash that will reach the egg as it takes a certain amount of force to pressurize the spring. Thus, our car was basically an egg and a plastic box with a huge spring in front of it. 


Here is our final design:



How did you test and evaluate your design?

To test and evaluate whether our design would be a successful in protecting the egg or not, we followed the procedures given to us. It told us to use a track that fit the car's wheels and to test the crash with a ramp with the altitude of 48 cms. For each trial, we timed how long it took the car to finally crash into the wall and how long the car traveled, in order to calculate its velocity. We also recorded if there was any harm done to the egg or not. Here is the following raw data we collected:

Car's mass: 186.2 g for the plastic box and material and 1000 g for the metal car. Therefore the total mass of the car was 1186.2 g.


Trial Number
Time (s)
Distance (m)
Success? (yes or no)
1
0.8
1.21
Yes
2
0.9
1.21
Yes
3
0.8
1.21
Yes


Trial
Speed (m/s)
1
1.21/0.8 = 1.51
2
1.21/0.9 = 1.31
3
1.21/0.8 = 1.51


From our results, we evaluated our design of the car to be fairly successful, as we had a 100% success rate in saving the egg from the crash. And as the egg did not break even once from the all the trials, we were so confident that we decided to test the car from a steeper angle to test if whether the procedure or materials that they have provided for us were actually valid for test like this. Here is a video below that will show you that the egg still didn't break even after we have tried the test from a steeper higher ramp.




In this trial, the egg again does not seem to break. But now, the real question that we have to start asking at this point is " Is it our design that is saving the egg or is the plastic box that we used strong enough to protect the egg?". After we have asked other groups about their results, almost of them said that their eggs didn't break. Therefore, I think that the passenger compartment of the car itself is enough to be able to protect the egg from cracking from a crash. So, something that I would want to change in our procedure is to make the car use a less sturdier passenger compartment because this would help conduct more valid tests as we would be able to test the full potential of our designs. Another suggestion that I want to make for the procedure is to lengthen the length of the track as the longer the track is, the more force and speed the car will be able to gain. In addition, they would supposedly be traveling at a higher speed, meaning a stronger collision that could potentially damage the egg if the design wasn't very well thought of. In conclusion, I believe that our design for our car was fairly successful, however as the passenger compartment of the car was actually protecting the egg, the effectiveness of our design couldn't be tested in a reliable way.  

Monday, April 18, 2016

Declarations of the rights of man vs the bill of rights

Personally, the "Declarations of the Rights of Man". Not only does the "Declarations of the Rights of Man" provide the rights to man, but it promotes equality as well. I feel like the "Declarations of the Rights of Man" is something that focuses more on the men instead of a certain group, since at first the Bill of Rights is something that targets the anti-federalists, in order for them to accept the constitution, but I feel that in the "Declarations of the Rights of Man" there is no catch, thus making it more reliable and solvable. The only problem is that the tyrant Robespierre trashed this rule and sought out to pertain his power, and so the freedom and equality thing did not work out in the end. Also I feel like the "Declarations of the Rights of Man" is more fit, since France was overgrowing a change of government and in the same time trying to fight a war, it was trying to take care of two babies at once, two problems, and it was not any easier to take care of creating a new government than to fight a war.

Friday, April 15, 2016

math blog

1. I input the winning team's score on L1 and the losing team's score on L2 and the Superbowl number on L3.



2.
The mean of the winning team is 30 points and the average score of the losing team is 16.
3.
The median of the loser's score is 17
and the first quartile is 10 and the third quartile is 21
the minimum value is 3
and the maximum value is 31


first quartile 23
third quartile 35
Min: 16

Med: 30.5

Max: 55



4.
std for the winners is 9.5
std for the losers is 6.7

this means that the loser's plot points are less spread out than the winner's

5.
There is no correlation between the scores. As the R value is 0.15 there is no correlation at all.

6. 
The r value if this linear equation is 0.15 which means that there is no correlation between the plotted points. But according to the equation 1.2+27= 28.2 therefore it is 28



Thursday, March 17, 2016

Socials blog

I think that the constitution allowed slavery to continue as they were afraid that the slaves might harm their society after being released and they were also worried about the loss of revenue. This causes the Constitution to be a wobbly start for a new country as it contradicts itself. As it states that all men are born equal, nevertheless they do not attempt on stopping slavery. I disagree with this decision as it is hard to believe that the Founding Fathers of America did not recognize slavery as a problem. Therefore I come to believe that they decided to ignore this problem because they were afraid of the negative consequences.

Thursday, March 3, 2016

Math Final Barbie Blog

In our final jump, the barbie doll was 3/2 foot away from the ground, therefore we failed to give our doll a thrilling experience. The reason why this happened is because our graphs weren't accurate, as we did not use a solid method of coming up with them and instead we guessed and checked our graphs. Moreover, it was a mistake to have chosen quadratic graphs to represent this situation as quadratic graphs have exponential properties but our rubber bands do not stretch infinitely. Furthermore, last time we plotted our trials/points in different equations, therefore there weren't enough trials per meter to make a mathematical graph.

So our group decided to redo our project and start from scratch.

Here is our data chart which was created by test jumping our barbie from various heights and finding out the amount elastics needed for that certain jump.

Here are some of our trial videos:
video



Height
Elastics used
1.75 m
11
1.92 m
14
2.60 m
18
3.25 m
20
4.17 m
31
5.20 m
37


Using this data, our group decided to use a computer program called geogebra to come up with a linear equation for the jumps. We decided to use a linear equation this time as we learned that quadratic equations didn't work as they included exponential properties and the rubber bands that we used for these jumps didn't. And another error that we made in the past was that the points that we got the the graph did not entirely represent a quadratic equation.

To get the equation we inserted this in our geogebra spreadsheet to plot the points.
The y axis represents the height of the jump and the x axis represents the amount of elastics needed for that jump.

Screen Shot 2016-03-03 at 4.18.01 PM.png

Here is the process on how we managed to find our equation:

1. Open the spreadsheet in geogebra, and then type in the x, y, and the points. (Warning, "X" and "Y" have to be in quotations so it is not identified as a variable.)2. Then, in the input box at the bottom, type in "cellrange[C2,C7]" as the points that I would be using to make the best-fit line starts from the C column in the spreadsheet, from the 2nd row to the 7th row.

3. Then click on the input box, type in "fitpoly[list1, 1]" as I need to make the best-fit line for list 1, the points of C2 - C7, and 1 because I needed a straight line.

Screen Shot 2016-03-03 at 7.09.39 PM.png

This is the equation that we came up with:

y = 0.13x+0.28

Now that I got this equation, I believe that if we had applied this equation for our final jump, we would have gotten a better result, giving the barbie a more thrilling experience.

To prove that this equation is the right equation, our group did another final jump which went successfully the barbie doll did not touch the ground by about 10 cm which is better than the final jump that we did before which had a gap of 3/2 feet.



According to our equation, for our barbie to jump 5.94 meters, the we should use 43 rubber bands. We
based our jump on this information and managed to get a much more thrilling jump by making the barbie not touch the ground by a couple of inches. In conclusion, if we had not used a quadratic equation in the first place and used a more mathematical way of getting an equation for this project, we would have been more successful overall. 

Reflection:

Overall, I believe that this project had a very positive effect on my learning as it has taught me how to use linear equations in real life, moreover it has also improved my problem solving skills by a lot as we had to deal with many problems while finishing this project. We faced problems such as, not being able to come up with a equation manually therefore we had to use programs such as geogebra to get a more accurate graph that serves our purpose in a better manner. I really want to thank my teacher Mr. Okness for giving me an opportunity to show my understanding in math in a real life situation which I never did before. 

Tuesday, February 23, 2016

Science reflection blog

I think that this project really helped me learn more about my personal interests. I was able to connect our food,nutrition and fitness unit to surviving in the wild. I think that by doing a project like this, will help students dig deeper into a topic, thus learning deeper contexts and to also learn more about what they are interested in. I also find that this types of projects will motivate students to learn more about a scientific topic and gain more interest in science. I really think that if we did another project like this for our next unit, I will be able to understand the deeper side of our unit.

Tuesday, February 16, 2016

Math blogpost 2

In the second lesson of our preparation for the final jump, our group has decided that we should make different graphs for different heights, as the momentum of the object falling down will increase if it is thrown from a greater height. There are a number of graphs that I could have made to represent the amount of elastics needed for each jump. Our group chose to make a quadratic equation for each meter. The reason why we did this is because the shape of a quadratic graph reflects the shape of the jump. In other words, if the barbie jumps from a higher height, she will gain more momentum therefore will use the full potential of the elastics, making it use less elastics per units in the jump in general.

Another option that we thought about was a Gauss graph to show the maximum stretch of an elastic. But we thought that it was unrealistic because it is not guaranteed that the each elastic is going to be used to it's maximum stretch because from some heights, the barbie will not be able to carry out the momentum.

Here is our graph for under 2 meters
y=x^2-4

The explanation for this graph is in my first post

And for 4 meters it is:

y=6/7(x-9)^2
Our group came up with this graph by testing the amount of elastics needed for a jump in the height of 4.15 meters, 4.52 metes and also 4.92 meters. The results were that we needed 31 elastics for 4.15 meters, 32 for 4.52 metes and 33 for 4.92 meters. We tried to plug in these numbers in a matrix calculator to figure out the pattern but as we really don't know how to use one, a few minor errors occurred. So that there were some irrational numbers in the equation that we got. We converted the irrational numbers into numbers which we can understand and came up with this equation.

For 5 meters it is:
y=(x-14)^2


For us to get the equation of this graph, we followed the same steps as the one for 4 meters. The only problem was that we could only get differing heights for 5 meters. Which were 38 elastics for 5.75 meters, 37 elastics for 5.29 meters. We could only get these trials for 5 meters because if we added more, the barbie would hit the floor and if we added less the jump would enter the 4 meter range. Therefore, we predicted that as the barbie is falling under the same controlled variables, we predicted that we should assume that the graph would look somewhat similar. 

Thursday, February 4, 2016

Is democracy better suited for some countries?

Montesquieu once said that a democracy might not always be the best form of government for some regions of the world. I strongly agree with his statement because a democracy can be rather hard to run if the general population is uneducated and are easily manipulable. Uneducated and unprivileged people are rather easy to manipulate and if this is the case in a country, a democracy wouldn't really be effective because a political figure might abuse his power and still make the population believe in his lies. Therefore, a democracy in a country like this will not last long and will be soon replaced with a government in which only seeks out for the benefits of themselves. Moreover, in some cultures people do not value the opinion of every individual but the opinion of a leader, and if their belief systems are built up this way, the people are not going to be aware of the fundamentals of voting. Resulting into an ineffective government. The best case scenario for a situation like this is to hope for a good leader who would look into the well-being of the population rather than his own self interest.

Wednesday, February 3, 2016

Math barbie project #1

Our wonderful math teacher, Mr. Ockness came up with the idea to improve our familiarity with quadratic equations by making us investigate bungee jumping. This project is about bungee jumping a Barbie doll from a given height and making the jump as thrilling as possible by getting the doll close to the ground. The approach that our group is going to take on this project is to find a pattern such as how much the length of the jump increases. In other words, we are currently trying to find the slope of the graph. Here are some statistics that might help us run realistic trials and determine the pattern of the quadratic equation.

Barbie weight: 89.1 g
Barbie height: 30 cm
Length of rubber band (not stretched): 7.5 cm

In our first trial, we jumped the barbie from a height of 1.92 meters found out that it will take 14 rubber bands for the barbie to jump and almost hit the ground by 2 cm. By only judging by this trial, the x intercept of the quadratic equation is only 0 as it is a multiple root equation also the maximum value for the graph is 192, a quadratic equation with a positive slope is usually not able to have a maximum value. But in this case, as the maximum height of the jump is 192 cm, the Barbie doll will not be able to bounce up and go in to heights beyond that. Cause if it did, it would either be that Mr. Ocksness bought some extremely high quality rubber bands, or that our project has just defied the laws of physics.

The graph that I could come up with by only taking this trial into consideration is this:
( up to this point, we really don't know what x and y really stands for but this graph is just a reflection of what happened)
1.


The first graph that I came up with is a curve that goes down and back up exactly where it came from and therefore is identical to the y axis. I have marked the x intercept which is (0,2) and the maximum value of y (0,192). I don't think this graph is entirely correct as  this graph was purely made by looking into only one trial and as we haven't really found a pattern yet, we don't have any guesses of the slope of the graph and that is why there is no visible curve to it.

2.

The second graph is also just an estimation/hypothesis judging by the statistics of the first trial. The equation of the graph is y=x^2 the reason why I estimate that the graph would look something like this is because I figured out the 14^2 is 196 and as 196 is extremely close to 192 cm I figured out that the real quadratic equation could look like something like this. What y stands for in this equation is the height of the jump, and what x stands for is the amount of elastics. Another thing that proves that this graph might be something like the real one is that if u input 192 into the value of y, 192=x^2 the value of x will turn out to be 13.88 which is pretty close to 14. And I think that for the graph to be exactly target, I think that I can adjust the 0.12 difference in value by adding a y intercept of -4
And if I do that the graph would look like this;


by looking at it in such a big scale, the y intercept of -4 does not make such a big difference, but if we plug the x and y values in to the equation of y=x^2-4, the values match out perfectly. And as we now have some sort of hypothesis that is on the right track, we are able to test this equation in different heights and make certain adjustments for our final project.


Plans for next class:

1. do two more trials in different heights
2. test out how gravity works in different heights
3. make adjustments to our current equation

Here is a video of our first trial:

video



















Friday, January 29, 2016

portuguese blog

video
Eu acho que a minha fluência do meu texto poderia ter sido melhor, porque eu acho que houve algumas partes prolixos do meu texto e por isso eu tinha que gaguejar para obter tudo certo durante a leitura de meu texto. Na minha opinião, algumas partes do texto não eram claras, porque eu acho que minhas idéias não foram exibidos bem. E o vocabulário no meu texto não foi muito bem utilizado porque eu estava muito focado em escrever uma boa história do que o meu estilo de escrita como um todo. Além disso, eu acho que o meu texto poderia ser mais organizado porque quando eu me ouviu a leitura do texto, percebi que havia algumas partes do texto em que eu não conseguia entender por causa da má organização.

Existem muitos fatores do texto que eu acho que eu poderia melhorar para a minha próxima vez. Em primeiro lugar, gostaria de usar algumas palavras melhores que ajudariam a melhorar o texto na sua compreensão. Em segundo lugar, gostaria de tentar organizar meu texto melhor para o meu texto não ser que prolixo. Por último, gostaria de melhorar minha fluência do meu texto, porque eu acho que algumas partes do meu texto não é realmente fluente.