
Launching Ourselves to Knowledge
Woodz Co. assigned us an assignment in which we had to apply our concept of energy transfer and projectile motion. In parks all around Bucktown, little kids were using elastic energy in the form of rubber bands and springs to hurt one another. As a way to discipline the children, we, the Syndicate, had to help Woodz Co. stop the kids from being so destructive. In order to do this, we were assigned the task of figuring out how the children position their springs in order to launch them a certain distance.
In order to determine how the children launch their springs, we needed an understanding of kinetic energy, gravitational potential energy, and eleastic potential energy. Through the law of conservation of energy, we knew that as an object increases its height, it increases the amount of gravitational potential energy it has. Furthermore, as an object loses height, its kinetic energy is transformed into potential energy; given that none of it is lost as waste heat. Furthermore, elastic potential energy is also converted into kinetic energy.
In this assignment, we will have to figure out a k value for the spring and figure out the distance we need to pull it back in order to launch it a given distance at a given angle. In order to do this, we have been assigned to create a ramp which can be moved to several different angles, a range from 15 degrees to 45 degrees.
Using concepts of elastic energy, gravitational potential energy, and kinetic energy, the Syndicate will use a ramp and a given distance, in addition to a launch angle in order to determine how far back one needs to pull back a spring in order to launch it a certain distance. We hope our results can help Woodz Co. discipline these ungrateful, spoiled children.
Materials:
-Spring
-Meter Stick
-Retort stand
-Weights
-Ramp
-String
-Hinge
-Wooden plank
Procedure:
The Ramp Procedure:
· A wooden plank was cut in half
· The hinge was placed on one side of one of the wooden plank and screwed in
· The other side of the hinge was screwed to the second half of the wooden plank
Target Procedure:
· The retort stand was assembled
· The metre stick was clamped on to one end of the test tube clamp
· The spring was hung onto the retort stand
· The initial length of the spring was recorded
· A mass was attached to the end of the spring
· The new length of the spring was measured and recorded
· Using the data, a graph was created and the spring constant was determined
· The angle of the ramp, the horizontal distance where the target is placed and the height at which the target is placed was chosen from 3 different envelopes by each members
· Using the information above, the distance at which the string is pulled till was calculated
· One of the end of the spring was tied with a string and was attached to the nail at front
· Some practice shots were made to get familiarized with the spring
· The string was pulled back to the calculated displacement and was fired
Recorded the observations
Observations:

We used the following physics calculations to derive our 'x' value

We made the first graph incorrectly while trying to determine our spring constant, it was not until later, we realized that we had switched around our axes.


We used the following physics calculations to derive our 'x' value

Set-up of task
Analysis and Discussion:
Analysis:
Our horizontal displacement, angle, and components to calculate vertical displacement was provided. The spring's mass could have been measured. Thus, by using the equation we derived, we determined our 'x' value to be 3 cm, or 0.03m. Initially, however, we were getting a value close to 0.6 m or 60 cm. This is because we were using the wrong spring constant. However, when doing the actual launch, we messed up, what we thought was 3 cm, was actually, around 4.5; therefore, we missed the bucket. However, after pulling the spring back, 3 cm, our spring launched a lot closer to the actual target.
This lab was highly dependent on instrumental accuracy. That is to say, that in this lab, the lack of precise instruments could have caused various errors. First, in order to measure the angle at which to place the ramp, a small protractor was used. This could have caused various errors because the 'x' value was dependent on the angle at which the spring was launched. Furthermore, in order to measure the horizontal and vertical displacement, a meter stick was used. A meter stick is not so precise and since we were dealing with a task that required extreme accuracy, we needed to have precise measurements; therefore, the slightest measuring error could have made the largest difference. Finally, the initial launch was a choke. During the initial launch, an idiot moment took place. Two marks were made on the ramp, 1st where there was absolutely no chance of hitting the target, and second, was the 3.3 cm line which started from the edge of the spring. During the choke, the spring was pulled back to the spot where there was absolutely no chance of hitting the target, We succumbed to the pressure; however, we re-did the shot and got a much better result.
Discussion:
At first, we thought the equation we derived was incorrect; however, we were wrong because the main reason for our flop initial launch was the 'choke' moment. After trying again, without choking, the spring was much closer to its target which in turn, led us to believe that the equation we derived was correct. As a result, we were able to determine the equation between, the angle of launch, projectile motion, and conservation of energy. First, we re-inforced the idea that the larger and stronger a spring, the greater its spring constant will be. In addition, we learned that elastic energy is converted into kinetic energy and with kinetic energy, objects have the ability to stay in motion; similarly, the spring lost elastic energy, gained kinetic energy, and as a result, it followed the path of a projectile, projectile motion. We realized that this concept could further help us combat future weapons young, rowdy Bucktown children can lay their hands on, namely, slingshots. Slingshots also use elastic energy and kinetic energy, in addition to projectile motion in order to launch an object.
Although, we were low-budget, Woodz Co. most likely used better equipment, such as scanners and online angle determining applications in order to verify our findings through this experiment. Furthermore, Woodz Co. would most likely get an expert physics wood worker to make the ramp because that way, they would not have to encounter problems that we did working with low-budget materials.
Reflections
Parth: Project Manager
Parmveer: Project Documenter
Project Webmaster
Jasmit: Project Facilitator
Project Timekeeper
Gurjot: Pictures
Project Timekeeper
Group:
Although this was projected to be a difficult task, simple manipulation of equations would prove otherwise. However, this task also required some skill, spring launching skill. Although initially, our group struggled with the spring launching skills, we were able to will our way out of the slump and learn how to explosively launch a spring. Furthermore, budget was not a problem, using left-over wood from SRK's Catapult project, and hinges that were previously used on a child-safety door, we were able to create a decently working ramp. However, we used the bad wood to make this ramp. This could have been a problem because the bad wood was extremely weak, so weak that it was possible to break it just by bending it (if you were strong like the Syndicate); however, it did not break and as a result, it worked well in launching the spring. In conclusion, everyone worked well, and as a result, we were able to help Woodz Co in disciplining the rowdy, hoodlum kids roaming around in the parks of Bucktown. We were also prepared to help stop these kids even when they started using slingshots, because we are defenders of Bucktown and we are the Syndicate, an organization dedicated to making Bucktown a place where all can thrive and live through love.
Jasmit:
I enjoy working as the timekeeper, initially, I did not think that I could pull it off; however, after various roles as timekeeper, I feel that it is a relatively easy role. In addition, I was also the facilitator for this project, since I was the facilitator, I kept the group calm. For example, when we were first getting the 'x' value as 60 cm, I immediately discovered that something was wrong. I knew that the measurements could not have been wrong because 60 cm was way too large of a value, so bad measurements were not at fault; therefore, I suggested that the 'k' value was incorrect. After looking at our graph again, I realized that the x and y axes were switched, what should have been on the x was on y and vice versa. In conclusion, I felt humble helping Woodz Co. I felt like quite the difference maker after disciplining the little Bucktown children and inspiring them to create a fun society. Where launching springs and hitting people with slingshots without consent is morally wrong. It would be a lot better if the kids were to pick up a ball or even some shoes, and wrestle or play ball.
Parmveer:
For this task I was away both of the days. But this didn't bring me down. Jasmit provided me with data and helped me understand the task. With Jasmits help I understood the task and to help him back I helped him the calculation.