Conservation of Momentum

 

Conservation of Momentum: Crash Lessons

Purpose:

To show and prove the conservation of momentum:  For a collision occurring between two objects, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision. That is, the momentum lost by one object is equal to the momentum gained by the other object.

Background:

Momentum is a physical quantity that determines the motion of a moving object. In effect, momentum measures how hard it is to stop a particular object’s motion. For example, it is easier to stop a fly moving at 6 m/h than a car moving at the same speed. However, it is easier to stop a car moving at 6 m/h than a car moving at 60 m/h. These examples illustrate momentum and the factors upon which it depends, that is velocity and mass. The momentum of an object at any given time is equal to:

p=mv

In addition to the above, momentum is a vector quantity, which means it has a direction (right, left, up, down, etc).

What we have said so far , though, applies for one object only. As we have been taught from countless movies and T.V. shows is that objects are meant to collide. Following a similar trace of thinking Physicists found the so-called law of conservation of momentum. This law states that in a given system, the total momentum of the system remains the same unless a force is applied in the system. For instance, let’s say we have two cars on two ends of a road and the one is moving at a speed of 10 m/h towards the other car, which is stationary (v=0 m/h). Before the collision takes place we can calculate the total momentum of the system, which will be equal to the sum of the two momenta of the cars. If both cars weigh 1000 pounds, then

pa=mava=1000*10=10000 kg*m*h-1 and

pb=mbvb=1000*0=0kg*m*h-1

So the total momentum of the system before the collision is

Totalpi=pa+pb =10000+0=10000 kg*m*h-1.

Let’s say that when the two cars collide, both of them are moving with a velocity of 5m/h. If we repeat the calculations for the system then we will see that

pa=mava =1000*5=5000 kg*m*h-1 and

pb=mbvb =1000*5=5000 kg*m*h-1 . Then the total momentum of the system after the collision is

Totalpf=pa+pb =5000 +5000=10000.

 

Therefore, we can see that the momentum of the system did not change after the collision. From the above formula we can derive the velocity of an object after a collision, or the mass of an object, or anything that is relevant for that matter. In our experiments we tried to prove the law of the conservation of momentum when two carts are colliding. We calculated the total momentum of a system before a collision and after it and determined whether the momentum of the system remained the same or not, thus (hopefully)proving or disproving the law of conservation of momentum.

Procedure:

Setup: For this experiment you will need the following materials: Horizontal car ramp, two toy cars, masses, nxt processor, and motion sensors.

Data collection: Set up the horizontal car ramp and motion sensors (there should be two sensors on each end of the ramp). Measure the mass of each cart. Each sensor should record the velocity of a cart. Place a cart in the middle of the ramp and place a cart at the end of the ramp. One person should be in charge of pushing the cars for the collision and the other two should be responsible for starting and stopping the motion sensors. Once everyone is ready, push the cart at the beginning of the ramp towards the stationary cart in the middle of the ramp (it doesn’t matter how hard you push it but it is better not to push it very hard because the cars could fly off the track and injure a fellow group member!). When you push it, the member controlling the motion sensor of that end should start recording and right before the carts collide they should stop recording. Then, the second member of the group should initiate the second motion sensor . The computer should have recorded the data and placed it onto an excel file for your group. Repeat the process two more times and then find the average of the velocity measurements. From that you can derive the momenta of the carts before and after the collision. Finally add some masses on one of the carts and do the experiments again. You should do the process with 3 different mass setups and each mass setup should be repeated thrice, adding up to a total of 9 experiments.

Theoretical: Using the NXT software find the momentum of the system before the collision. The momentum of the system after the collision should be equal to the one before the collision, so use that as a measuring device.

Data:

When we carried out the experiment we collected the data below:

Sensor at the End Sensor at the Start
Mass1=500 Mass2= 900 Mass1=500 Mass2= 900
Velocity Momentum Experiment Number Velocity Momentum Experiment Number
-6.349206 -8.518517933 1 24.25107 11.303302 1
-5.494505 23.206751
-6.410256 20.361991
average -6.084655667 Average 22.606604
Mass1=500 and Mass2=500 Mass1=500 and Mass2=500
Velocity Momentum Experiment Number Velocity Momentum Experiment Number
-10.50175 -13.1795 2 17.507 13.8303165 2
-12.820513 27.431421
-16.216216 38.043478
average -13.179493 Average 27.660633
Mass1=900 Mass2=500 Mass1=900 Mass2=500
Velocity Momentum Experiment Number Velocity Momentum Experiment Number
-11.71459 -20.84826567 3 22.072937 26.1902565 3
-15.011547 28.53067
-17.948718 36.697248
average -14.89161833 Average 29.100285

 

 

 

 

 

 

 

 

 

 

 

 

Then we calculated the absolute momentum for both motion sensor measurements and for all experiments to produce the table below. Three columns make up the chart; the first column, is meant to represent the results of the absolute momentum after the carts collisions. The second column’s data represents the absolute momentum before the collisions. And the last column, connotes what experiment was repeated (1,2 or 3):

After obtaining our data, the group decided to graph the numbers in order to get a visual representation of the absolute momentum collisions. The graph below  shows both data collisions in the same graph, and it’s easier to grasp the similarity of the curves that are given. This similarity in the curves tell us that momentum was conserved but the existence of errors made it impossible to produce identical curves.

Analysis:

Does the experiment prove the conservation of momentum theory?

From our data we can see that the momentum of the two sides is almost the same, which points to the fact that momentum is conserved.

What variables could have skewed the results collected?

In our case friction was the primary source of error. due to the fact that we used a track, when the cars collide they have twice the amount of fiction they have when they are on their own. Therefore, there is an external force acting on the system which is why momentum is not conserved.

How does mass affect the results?

When the two carts collide, they stick together. When that happens their masses are added. As a result the force of gravity, which is the product of mass and acceleration increases. Therefore, the force acting on the system is greater than before, thus skewing our results.

Can you suggest things that might improve the experiment or the accuracy of the results?

If we used a frictionless track, there would be no external force acting on the system, so we would get the results we expected.

 

Conclusion:

In our hypothesis we expected momentum to be conserved. The experiments we conducted showed a pattern that indicates to the fact that momentum is conserved. Even though the existence of friction skews our results, we can still see why and how momentum is conserved.

Experiences:

Anestis Luarasis:

I believe that the experiments we conducted were successful, and they showed that momentum was conserved. The team cooperated adequately and were highly productive. If there was one thing i would  change it would be the track. Otherwise everything was fine.

Nurta Ibrahim:

I loved all my team members they all took the time to put this wonderful experiment together. They even took their own time out to work on the blogs and doing the whole experiment. I couldn’t have asked for better members than the ones i have worked with. The only issue was that the data was skewed due to the existence of friction from the track.

Darwin Huang:

Overall this project was a great experience for me. I made new friends and even learned something new. The members in the group were never mean and we had lots of fun when we were devising our outline and plan. One thing i would change about the project is get a frictionless track because it complicated our project results by a pretty big factor. Otherwise it was great.

Cristian Koch :

This project was a great opportunity for working as a team. Over the last few weeks the members and I worked hard and managed to accomplish a successful experiment. The experiment had me learn about the physical quantity that determines the motion of a moving object, momentum. I can conclude that the experiment was a success and not only had it taught me new things but also improved my work ethics with others.

Ramon Morales Pozo:

This was a very interesting experiment. We proved the conservation of momentum, and we found a way to prove it which I find was very creative and informative at the same time. Overall, I enjoyed the project, and I was glad to have such good teammates.

Outline

After a rather painful two hours of meeting, our team decided how the experiment will be carried out.

Materials:

1 track, 2 carts, 2 motion sensors, some masses, computer and interface software.

Procedure:

We are going to place the two carts on the track. On each cart we will place some masses to avoid having them go too fast. We will measure the mass of each cart(with the added masses). Then, we will place two motions sensors,each on the end of our track. Finally, we will push one cart towards the other cart(which is stationary) to make them collide. Our motion sensors will determine the velocities of the two carts. Then, using the formula p=m*v, we will determine the momentum of each cart during the whole process. We hope they will will be the same in value. Finally, we will repeat this process 5 different times, each time changing the mass on the carts.

Wish us luck!

Boom!

Last week, we met to divide the class in four groups with each group being responsible for devising an experiment.  The most striking and noteworthy group was that of Anestis, Nurta, Cristian and Ramon(who was absent due to the fact that he was in the hospital after rescuing a kitty cat from the tires of a car). Oh and Darwin joined the group too…

What we did:

Well, after we formally introduced ourselves we started thinking about potential projects. Of course, Nurta, being the crazy girl that she is, suggested we make an experiment that has”explosions or collisions or something cool!”. Having no other choice we started searching for such experiments and after rejecting making a hydrogen bomb we decided we would have two things collide and then observe the interaction between the two.

And?

Then, we wondered “What happens when two objects collide?” And this question prompted us to do an experiment on the conservation of momentum during the collision of two objects.

Process:

As i said we are going to design an experiment where an object collides with another object. We will measure the velocity of the first object, determine its momentum and then do the same thing for the second object after they have collided. Hopefully, the two momenta will be equal to each other, though opposite in direction.

How does the experiment relate to the class?

Well,  the class is called sustainability and energy and momentum is related to velocity and  in extent kinetic energy).

 

Shake, bake and generate(electricity)

In this week’s experiment we dealt with the way that generators and turbines function to produce electricity. The lab that we did captured the process of electrical energy production.

Hypothesis:

In our lab we wanted to show that the more a turbine spins(or moves), the more voltage it will generate. This assumption is based on the fact that the spinning turbine which has a copper foil in the middle and is surrounded by magnets, turns mechanical energy to electrical energy. Of course, the more this process is repeated, the more electricity will be produced so we expected that the more we moved the coil the more voltage it would produce.

Procedure:
In this experiment, we had a flashlight that worked on shakes, which means that as it was shook it produced energy to power the bulb. In our experiment we shaked the flashlight 2 times per second(60 shakes in 30 seconds), 1,5 times per second(45 shakes per 30 s), 1 time per second(30 times per 30 s), half a time per second(15 times per 30 s) and 0 times. Here, we connected the flashlight to our NXT device to measure its voltage and see whether it depended on the shaking of the light. Next, we put together the data in an excel file to produce clearer results.

Data:

In the table above we can see the measurements for each number of shakes. The first thing one can spot is the existence of some negative values, which in this case indicate the direction of the voltage. What we did to eliminate the difference in direction was to calculate the sum of the squares for each column and then we took that one step further by finding the square root of the sum of the squares to get only positive values for voltage.

In the tables below you will see the sum of the squares of the columns vs the number of shakes and the sum of the columns vs the number of shakes. From the latter table we also composed our graph of the situation.

 

Data Analysis:

From the above data we can see that as we increase the number of shakes we are also increasing the Voltage produced. Of course, the relationship between the two is definitely not linear(as we can see from our graph, it looks more like it is an exponential function of the form x^k, where k is a constant).

Conclusion:

Our hypothesis in the beginning was that the more we shook the flashlight, the more voltage we would produce due to the theory of electromagnetic induction. As we saw in this experiment, our hypothesis was completely verified, as the amount of Voltage produced increased as the number of shakes increased. From our graph we were also able to estimate the form of the relationship of the two which is probably something like V=x^k, where k is some constant, V is the voltage and x is the number of shakes.  A way to improve the results would be by using integration, through which we could have found the exact relationship of the function, but this was not the scope of the experiment. Another way to improve the accuracy of our results would have been to have a machine shake the flashlight the amount of times we wanted, so as to avoid the human error we introduced in this series of experiments. Finally, the use of more measurements could help define the relationship between our variables even better. All in all though, this was a largely successful experiment that managed to verify our initial hypothesis.

 

MIT Nuclear Reactor

Last week the awe-inspiring class of Seminar for Freshman visited the MIT Nuclear Reactor. Needless to say, that both the reactor and the class were equally impressive. But let’s get to the reactor first.

What is it?

The MIT Nuclear Reactor is a facility where nuclear fission is achieved along with other experimental facilities. The main operation of the reactor though is the production of neutrons primarily for experimental purposes. As i mentioned earlier in the nuclear reactor, the process of fission takes place. Fission is the process in which a radioactive element(usually uranium) is bombed with neutrons that break its nucleus into more nucleii while releasing more neutrons.(and forming a chained reaction process)

In the MIT Reactor this chained reaction is limited and controlled by six shin blades made of boron. Boron is an element that has the ability to absorb neutrons without releasing any, thus stopping the chained reaction. In addition to the control rods, the Reactor is also made up of a moderator coolant(water in this case) that cools the core enough to avoid overheating. For the specific information on the reactor and the way it is arranged refer to the site: http://web.mit.edu/nrl/www/reactor/reactor.htm

What is it used for:

From the above information one can see that the MIT Reactor is not used to produce energy or create bombs. It is used for experiments and research projects, that currently consist of : In-core experiments group,  Boron Neutron Capture Therapy, Trace Element Analysis, Neutron Scattering and Spectroscopy, Neutron Radiography and Silicon Dopping. Below i will elaborate more on the most prominent of those research facilities.

In-Core Experiments:

“The In-Core Experiments (ICE) group performs a variety of corrosion, chemistry, and materials-related experiments in pressurized water reactor (PWR), boiling water reactor (BWR), and other environments.”

Boron Neutron Capture Therapy:

Is a form of cancer therapy that uses a compound containing borons that concentrates on tumors. Aftet Boron has concentrated on the tumor site, a neutron beam is applied on the site, which makes the boron atoms split into lithum nucleii and alpha particles. The release of these particles greatly damages the cells at which they are located, which in this case are the cancer cells(for a more in-depth explanation go to: http://web.mit.edu/nrl/www/bnct/info/description/description.html). This treatment is mainly used as a substitute for chemotherapy in cases of brain cancer and can provide a few additional months of life to terminal cancer cases. Despite the promise of this therapy, the MIT nuclear reactor has not been able to run the BNCT area for the past 5 years, due to a lack of qualified staff interested in the position.

Neutron Radiography:

Neutron Radiography is an imaging technique that utilizes the thermal energy of neutrons. Its applications vary from arts to aircraft engines. The one in MIT,though is primarily used to test the performance of fuel cells. This technique is preferred over X-ray scans, CAT scans, etc due to the fact that it can go in more depth and also it does less damage due to the fact that it is a non-penetrative imaging technique.

Silicon Doping:

Silicon doping is the process of introducing various impurities to silicon(or any semi-conductor) to change its electrical properties. The MIT reactor uses a process called Neutron Transmutation Doping(NTD). In NTD, the silicon sample is placed close to the reactor(that is emitting neutrons) and as a result is bombarded by neutrons. Those neutrons manage to uniformly produce more phosphorus atoms, thus making the doping more strongly n-type.  Also, NTD doping is the main source of income for the MIT reactor, due to the fact that it is not producing energy.

Conclusion:

The MIT reactor seemed huge even though in reactor criteria, it is considered small , which prompts one to think of the magnificence of this structure. Not only did it appear strong and safe, but it also seemed like a glimmer of hope for our energy production needs. Our first contact with the reactor was nothing short of spectacular and further convinced me that nuclear energy is the future.

Once again for more references and information on the MIT nuclear reactor, visit the MIT nuclear reactor page at http://web.mit.edu/nrl/www/index.html

References for images: http://www.wpclipart.com/medical/treatment/Boron_neutron_capture_therapy.png

http://www.trtr.org/Links/Image11.jpg

http://web.mit.edu/museum/150/items/reactorcloudy.jpg

 

Photovoltaic Cells Experiment

In this week’s class we conducted a series of experiments concerning photovoltaic cells. We actually had two parts in our experimentation; Part 1 was an experiment to determine whether the distance of the source of light from the photovoltaic cell affects the power the cell produces. The second part was an experiment tp determine whether the power output of the cell depended on the kind of light emitted by the source, which we moderated through the use of some filters.

Distance Difference:

Hypothesis:

Our hypothesis for this series of experiments was the the larger the distance of the source from the cell, the less power it would produce due to the fact that it would receive less energy(since light would be emitted in more directions.

Procedure:

We set up the cell in the desired distance from the light source(the distances used in this series were 0,4,8 and 12 inches away from the light source.)The cell was connected to our computer and gave us readings of the power it produced. Then, after the data was put in excel we determined the average of each distance-reading.

Data:

From the above table we produced another table for the average distances against Voltage, which we used to make a graph of the readings we received.

Data Analysis:

As we can see from the above data, our hypothesis was completely verified since increasing the distance from the source decreased the power output. Furthermore, the graph produced shows a negative exponential(since the graph is not linear) relationship between the distance and the voltage output. If i had to guess i would say that the function would be of the form of y=1/x or y=1/x^2. However, more data is needed to determine the exact relationship between the two variables.

Conclusion:

As we saw from the above information our hypothesis was verified and the power output of the cell decreases as its distance from the light source increases. All in all, even though we calculated some average values in our experiments, i do not think that they hurt the accuracy of our results significantly which makes the experiment a success as far as i am concerned. An area that we could have improved would have been the holding of the cell(which we did manually by hand) so as to negate the effects of our unsteady hands. As i said though, the effect of this error is insignificant and does not interfere with our results.

Filter Difference:

Hypothesis:

In this series of experiments our hypothesis was that the different filters applied on the light source would change the power output of the cell. This is due to the fact that each filter absorbs waves of its own frequency, which means the light that escapes the filter will have slightly different energy levels depending on the color of the filter.

Procedure:

In this experiment we placed the cell right in front of the light source(we wanted to keep the distance the same and the zero distance was the easiest to implement). Then we put a filter between the light source and our cell. We did the same process for four different filters(pink, yellow, blue, orange).

Data:

From the above table we produced another table of averages for power output with which we plotted a graph.

Data Analysis:

From the above information we can see that the filter color does change the power output of the cell, which is in concordance with our hypothesis. We can see that each filter color produces a different frequency for the cell to absorb, thus changing its energy output accordingly.

Conclusion:

The above information indicates that our hypothesis was valid, since filter colors change the produced energy of the cell according to the frequency they absorb. As with the previous series of experiments, the average values we produced did not hamper our results, which again shows the validity of the data obtained. All in all, i cannot think of any ways to improve our accuracy other than the use of more filters to determine the exact relationship of the filter colors and the power output.

Tom’s Mystic Devices

This week we were given a presentation by an engineer extraodinaire called Tom Vales, who showed us three relatively unknown devices; the Stirling Engine, the Peltier Device and the Mendocino Motor.

Stirling Engine:

A stirling engine is a heat engine operating on the continuous compression and expansion of a gas. The stirling engine is made up of a chamber that has a hot side heated by an external source and a cold side. Inside the chamber we can find the gas of choice(usually air, helium or hydrogen) and the displacer which is connected to a flywheel. Outside the chamber there is a piston andthe aforementioned flywheel that are also connected to each other. The way the stirling engine works is the following; Initially the displacer is at the bottom of the chamber. As heat is applied in the chamber, the kinetic energy of the molecules of the gas increases which means that in a fixed volume the pressure rises. The increase in pressure then moves the piston upwards. As the piston moves up the flywheel turns. The turning of the flywheel pushes the displacer downwards, thus moving the gas from the hot side to the cold side. As the gas reaches the cold side of the chamber the kinetic energy decreases and in extent the pressure in the chamber. This makes the piston move down, which makes the flywheel turn again(on the opposite direction this time). The flywheel again moves the displacer, but this time it moves it upwards, which transfers the gas to the hot part of the chamber and thus starting the circle all over again.The stirling engine is extremely quit and efficient which makes it very promising, especially if you consider the fact that they can be powered by any heat source. Despite this fact though, Stirling engines have not been used widely due to the cost in building one.(the sides of the chamber have to withstand heat and also the larger the chamber the more effective it is). In addition to this, it takes a while for the engine to start running or for it change its motion in any way, thus making the Stirling engine a good option in some occasions but not an alternative to internal combustion engines(for now at least).For the further information you can look at http://auto.howstuffworks.com/stirling-engine.htm and Ms. Kiki’s explanation of it:

Peltier Device:

The peltier device is a device that is based on the Peltier effect, which was discovered (surprisingly) by someone called Peltier. The Peltier effect of thermoelectric effect is the concept that when a current is applied on two dissimilar metals, one of them gets hot and the other gets cold. Also, the reverse version of this concept exists, which states that when a hot metal and another cold metal come into contact they create a current(this is called the Seebeck  effect found by someone called Seebeck). The effect of the peltier cooling is used in fridges where the cool side is put in the fridge to cool things inside it. A more detailed explanation of the effect can be found here: http://www.activecool.com/technotes/thermoelectric.html. Also, it has been noted that the Seebeck effect could be used for production of electrical energy, but that might be a little too impractical currently. One reason is that for the effect to generate a good amount of electricity the temperature gradient needs to be very big, which is usually hard to accomplish or too expensive. Of course the possibility of using earth’s resources could be a solution to this problem, if, for instance, we used the hot volcanoes and icy waters of the ocean. However, such a solution is too expensive and probably impossible(since i just thought about it). All in all, the peltier device is yet another cool device.

Mendocino Motor:

The mendocino motor is a device created in Mendocino california. Its premise is pretty simple. Light makes a rotor spin. Pretty simple huh? The more detailed explanation of the mendocino motor is the following; Light is cast on a rotor that has solar cells attached to it, which we know create an electric current. The rotor is built around a stick(anything can be used, even a pen). Also, the rotor has a magnet on it and is then put on the magnetic field of repulsing magnets to make it float(its magnet is repulsed my the other magnets, which makes it move away from them, that is upwards). Then, light is shed on the rotor, which produces an electric current due to the solar cells. The current produced then creates a magnetic field due to that weird electro-magnetic relationship, which makes the rotor turn to the next solar cell. Then, the process is repeated. Even though is device is sub-zero cool, it has not been able to be produced for various reasons.The primary reason for that is that we have not been able to take advantage of the rotating rotor due to the fact that it is floating, which means we have only been able to get very low power outputs. However, if this motor is utilized rightly it can provide a super electrical producer, since it could produce electrical energy from the solar cells(photovoltaic effect) and from the rotating rotor(mechanical to electrical energy).Further information on the mendocino motor can be found here: http://www.chessplayingrobot.com/id4.html. A video on the process of this device and how it was build can be found here(the video is made up of parts provided by none other than our very own Tom Vales):

Conclusion:

The three devices described above could be the future of humanity if we invest in them. They all have massive potential that we need to take advantage of. Then, we might stand a chance in this cruel world. The end of the world in 2012 might not even happen. Nah i am kidding. It will happen. Still these devices are cool so invest in them world, invest while you still can!

Energy Experiment!!!!

Mass-Acceleration Experiment:
Hypothesis:

In this series of experiments we tried to determine the relationship between the mass of an object and its acceleration. Based on Newton’s second law of motion we know that F=m*a, where F is the force exerted on an object, a is its acceleration and m is its mass.  From this equivalence we know that a=F/m, which means that mass and acceleration are inversely proportional. Thus, our hypothesis is that the more the mass increases the less the acceleration of the object will be.

Procedure:

In this experiments, we tied a mass to a string that was pulled up by a motor. By using the NXT program we kept the power of the motor constant and changed the mass of the object every time. The results for the power, speed, time and acceleration were produced by the NXT program.

Data:

 

In the table above the colored columns signify the important variables in our experiment. In this case, the speed and time of the object are used to determine the acceleration, which is denoted in the red column entitled(surprisingly) acceleration.

Data Analysis:

Our hypothesis in the beginning was that mass and acceleration are inversely proportional and our table seems to verify our hypothesis. As we can see the acceleration of the object decreases as its mass increases. Also, the graph below seems to reinforce our hypothesis.

Conclusion:

Our hypothesis stated that the two variables were inversely proportional to each other, which was verified by our results (look at Table 1 and Graph 1). However, the relationship between the two variables was of the form y=m/x, which is does not produce a linear function between y and x. Even though, that seems to be the result for our graph that is not the case, due to the fact that the change of the acceleration is not constant. In the beginning the change is 39.1-35.24= 3.8, then it becomes 44.3-39.1=5.2 and then 50.02-44.3=5.72. Since, the difference between its acceleration is not constant the gradient of the graph is not constant either, which means the graph cannot be linear. The fact that it appears linear though is an indication of the fact that we needed to carry out more experiments to fully confirm our hypothesis.

 

Acceleration-Power Experiment:

Hypothesis:

In this series of experiments we wanted to determine the relationship between the power exerted on an object and the acceleration of that object. Based on Newton’s Second Law of Motion we know that F=m*a. Also, we know that power is P=F*Δx/Δt where P is power, F is force, Δx is the displacement of an object and Δt is the difference in time. Since the Power is directly proportional to the force, we expect it to be directional proportional to anything the force is proportional to. Therefore, our hypothesis is that Power and acceleration are directly proportional and their relationship is linear.

Procedure:

This series of experiments had an identical setup to the previous one, with just one difference. This time, the mass of the object was kept constant and the power exerted on it was changed with the NXT program.

Data:

In the table above we can see the acceleration in the red column and the Power percentage used by the NXT motor.

Data Analysis:

From the table we can see that as the power of the motor pulling up the object increases, so does the acceleration of the object. The relationship between the two seems to be directly proportional and probably linear. We can also create a graph for the above data to visualize the relationship between the two variables.

Knowing that the relationship of the two variables is linear, we can determine the gradient of the line which is equal to m=Δy/Δx= (89.98-10.3)/(100-50)=1.59. This gradient should give us the value of Δx*m/Δt, since P=a* Δx*m/Δt.

 

Conclusion:
Our hypothesis stated that the power exerted on an object would be directly proportional to the acceleration of the object and thus produce a linear function. As we can see from our results the acceleration of an object is definitely directly proportional to the power applied to it. This was verified by the results of table 2 and Graph 2. Even though, the graph we produced did not produce a perfectly linear line, we can attribute that to some errors that took place in our experiment. The first and foremost error was that we had to manually stop the object’s ascend, which means we manually affected the estimated time (through which the acceleration was calculated). Therefore, our natural human error(please don’t kill us for it) affected the acceleration itself and prevented us from obtaining a linear graph. Also, we know that our results were random due to the fact that the difference in the acceleration does not follow any sort of pattern, rather it seems to change randomly(unlike in the mass-acceleration experiments. Ultimately, we can assume that our hypothesis was verified as our results were quite close to what they should have been in reality.

Power Percentage-Power Output

Hypothesis:

In these calculations we were trying to determine the relationship between the power percentage levels of the motor and the final power output. Since, all other variables remained the same we expected these two variables to be directly proportional and in some way the same quantity(apparently they are both called POWER).

Data:

Data Analysis:

The above table shows the results of the two variables and illustrates their relationship. As we can see, the two variables appear directly proportional and their graph(below) seems to verify this point. Also, since the relationship between the two variables is linear we can find the gradient for function, which is m=Δy/Δx= (0.34-0.12)/(100-50)=0.0044.

Conclusion:

In the beginning we hypothesized that the power levels and the power output would be directly proportional to each other and produce a linear function. Our data seems to have verified our hypothesis, since the results indicate proportionality and the graph produced is a linear one with a positive slope.

Discharge-Mass:

Hypothesis:

In this experiment we were trying to determine the relationship of the battery discharge and the mass, when the power is kept constant. Since, the battery discharge is the energy spent, we expected it to be directly proportional to the mass of the object. The energy equation for kinetic energy is E=1/2*m*v*v, so the energy and the mass are directly proportional, and the more the mass the more energy will be spent by the battery.

Data:

Data Analysis:

The results above produce the following graph.

Conclusion:

Our hypothesis in the beginning was that Energy(discharge) would be directly proportional to mass. However, our results are not in agreement with our hypothesis. In fact, our results do not seems to indicate any sort of relationship between the two, which means that they were either they were seriously inaccurate or physics is entirely wrong. Due to the fact, that the latter case seems too improbable (not impossible though), we can conclude that our results for this experiment were wrong and produced nothing less than nonsense.

Pandemics!

What is a pandemic?

A pandemic is an infectious disease that spreads through large human populations and across various regions. The name pandemic is a derivative of the Greek roots pan(all) and demos(people) and it signifies the vast domain it infects. A pandemic is different from other diseases simply from the number of people it infects and the fact that it is infectious. For instance, cancer is widespread and sometimes fatal but, it is not infectious, thus it is not a pandemic.

Then what disease is a pandemic?

The most prevalent pandemic is HIV/AIDS. Since its onset, the HIV virus has spread in the entire world and has killed more than 2 million people this year alone. Also, more recently the H1N1 virus was categorized as a pandemic(information about the H1N1 pandemic can be found in the following link:http://www.flu.gov/individualfamily/about/h1n1/)

How do these pandemics occur?

Even though the sources of pandemics usually vary, the common denominator for all of them is a process called antigenic shift. During this process, already existing viruses get modified in various ways and create new combinations of proteins in the surface of the virus.(for further information:http://www.flucentre.org/knowledge-centre/pandemic-flu/how-do-pandemics-occur) These new permutations manage to infiltrate the immune system and then spread in other hosts (usually through respiratory processes such as sneezing or coughing).

Why should pandemics worry me?

You might get infected and die.

How can we prevent them?

Even though vaccines and cures are continuously produced for pandemics  they are produced after the pandemic has taken place which means that until a cure is found people will keep on getting infected.  Therefore, the best policy to stop pandemics from spreading is the most apparent one; prevention.

This video provides a brief outline of the course of a pandemic and then suggests ways of coping with it.

Environmental Aspect:

As the information above indicates, viruses originate from other animals or sources other than humans. Due to the fact that our involvement with the environment has increased the past years, we have become more susceptible to viruses. Our over-producing societies have turned the entire world into a big farm that we are cultivating and usually farmers get infected by their farms. From birds, to pigs or flowers, our extreme usage of the earth has produced more dangerous and infectious diseases. And if that was not enough, the climate changes that seem to be taking place, have given pandemics further impetus.

The article below elaborates further into this issue and shows the increasingly dangerous nature of pandemics.

http://www.independent.co.uk/news/science/deadly-animal-diseases-poised-to-infect-humans-1856777.html

In conclusion:

Pandemics are as dangerous for humans as they are infectious. They have the potential to kill millions of humans and if they mutate just right, they could even kill billions of us. For the past 20 years or so, we have been aggravating the problem and increasing our chances of being infected. Further research needs to be done in order to help fight pandemics and of course protective measures should be taken to decrease their offset. A healthier planet means a healthier human race, so all we have to do is keep our environment healthy.And never, ever (this is the most important piece of advice in this blog) make out with other species, not only is it unhealthy,but it also looks pretty bad.

Robotics Activity Blog

What We Did:

In class we constructed the NXT System and gave our little robot directions to move forward. We repeated this process three times, each time using different power on the wheels. We measured the distance the robot moved for each power usage and then compared to the actual distance it moved that we got from the NXT program. Also, we recorded the number of turns the wheels did  and the time for each power usage.

Results:

From the table we can get the results we acquired for the experiments we carried out.

How are degrees and number of turns linked?

We know that each turn is 360 degrees, which means that the number of turns represents how many times the wheels have turned 360 degrees.

How is the distance related to the number of turns?

The distance is directly proportional to the number of turns of the wheels;the more(or less) the turns, the more(or less) will be the distance covered.

In fact by knowing this we can even find a formula for the two variables. That formula is Distance=(1.8*10^-4)*numberof turns

Recorded Distance Vs Actual Distance:

From the table we can clearly see that the distance we recorded was not the same as the actual distance. From our results we can calculate the percentage error that our measurements had. When the power was set at 75, the percentage error was 4.48%. When the power was 85 the percentage error was 2.72%. Finally, when the power was set at 100 the percentage error was 3.48%. We can understand that our measurements were off by approximately 3.5% on average from the actual measurements. The cause for the discrepancy we recorded is three-fold. When the car was moving, it would move  slightly after stopping due to inertia. As a result, we had to estimate the spot it stopped at and apparently our estimates were not 100% accurate. The other factor that played a role in the discrepancies was that we were using a ruler, which has a set limit of accuracy and that limited our estimates further. Finally, the fact that the wheels were not turning at the same rate(the table shows that the degrees varied with each wheel) indicates that the car was not moving in a straight line. Since we were recording the straight line that the car moved in, we did not get the actual distance, which in this case was a sort of a hypotenuse.(while our line was the line opposite the hypotenuse that is smaller than the hypotenuse.) This fact also explains why our results were always less than the actual distance. If you are finding it hard to visualize the problem then the amazingly cool represantation that i created using paint might help.

Ultimately, it was another fun class that taught us again that computers are better than us.