TESTING THE BOUNCABILITY OF DIFFERENT SIZED BOUNCY BALLS Rishi Goswami Cary Academy ABSTRACT The purpose of the experiment was to see which sized bouncy ball bounces the highest: a small one, a medium-sized one, or a large one. It was hypothesized that the small bouncy ball would bounce the highest, since it would require the least amount kinetic energy to bounce high, since it had the least mass. Even though the low mass would cause it to gain less kinetic energy while falling, it was figured that this would be overpowered by the low amount of kinetic energy that was needed to make it bounce high. To perform the experiment, the three sizes of bouncy balls were dropped three times each, and the average bounce height of each bouncy ball was recorded. It turned out that the hypothesis was incorrect, as the medium-sized bouncy ball bounced the highest of the three sizes of balls. The small bouncy ball bounced the second highest, and the large bouncy ball bounced the lowest. The purpose of the second experiment that was performed was to see how the temperature of a bouncy ball affects the height it bounces. The ball that was kept at 15.6 degrees Celsius (the cold bouncy ball) bounced the highest, the ball that was kept at room temperature (22.4 degrees Celsius) bounced the second highest, and the ball that was kept at 40.6 degrees Celsius (the warm bouncy ball) bounced the lowest. INTRODUCTION The purpose of the experiment was to see what sized bouncy ball bounces the highest: a smaller one, a medium-sized one, or a larger one. The smaller bouncy ball had a diameter of 2.5 centimeters. It had a mass of 9.9 grams. It was pink, with stripes on it. It felt and looked elastic, which meant that it seemed like it would bounce well. The medium-sized bouncy ball had a diameter of 3.3 centimeters. It has a mass of 21.2 grams. It was green, and it also had stripes. It looked and felt elastic, too. The third, larger bouncy ball had a diameter of 4.0 centimeters. It had a mass of 42.1 grams. It was brown, and its inside was filled with a solid that seemed to make it look a little like a meteor. This ball also seemed to be very elastic. The first bouncy ball was made by a chemist in California named Norman Stingley. It was made in 1965, a time when Stingley spent his extra time experimenting with rubber. He compressed many pieces of synthetic rubber together while they were under approximately 3500 pounds of pressure per square inch. This experimenting resulted in a compressed rubber ball with an extreme resilience and high bounce. The momentum of an object changes based on its mass and velocity. It is calculated with the equation, p = m times v, where p is the momentum of the object, m is the mass of the object in kilograms, and v is the velocity of the object in meters per second. When one object hits another object, some or all of the momentum it had is transferred to the object it hit. For example, when a cue ball hits a billiard ball, the momentum the cue ball had before the collision is transferred to the billiard ball during the collision. After the collision, the billiard ball travels with the same momentum that the cue ball previously had. This is an example of the law of conservation of momentum, which states that whenever objects collide, the amount of mass stays the same. When a baseball hits a bat, the bat pushes the baseball away. In the same way, a ball bounces off of the floor when it falls because the floor pushes the ball up. Balls fall because they are pulled to the ground by gravity. While they are falling, they gain kinetic energy, or energy of motion. When the balls hit the floor, the kinetic energy that was earned deforms the ball from its original round shape to a new squashed shape. When the ball deforms, its molecules are stretched in some areas, and tightened in the others. As the molecules are moved around, they collide with and rub across one another. What happens after this depends on what the ball is made out of. If it is made out of putty, it will hit the floor and then flatten. Putty is inelastic, and therefore, it will not bounce. Now, if the ball is made out of rubber, which is made from long-chain polymer molecules, its lengthy molecules will be tangled together while in your hand. After the rubber ball falls and hits the floor, its molecules will stretch for a very small amount of time. Atomic motions within the molecules of rubber turn the molecules back into their original, round shape. This means that a rubber ball is elastic, because it turned back into its original shape. The rubber ball will then bounce back up using its kinetic energy it gained earlier. The remaining energy not used to make the ball move will be turned into warmth. Most things that bounce are sphere shaped, however things shaped like footballs can also bounce. Objects need equilibrium, or balance, to bounce. If each ball was to be dropped, then the ball with a diameter of 2.5 centimeters (the smallest one) would bounce the highest, because it would require the least force to bounce since it had the least mass. Even though it would gain less kinetic energy while falling since it had the least mass, it was figured that this would be overpowered by it not needing as much kinetic energy as the other two balls to bounce high. MATERIALS AND METHOD 1 small bouncy ball with a diameter of 2.5 centimeters 1 medium-sized bouncy ball with a diameter of 3.3 centimeters 1 large bouncy ball with a diameter of 4.0 centimeters 1 meter stick The control of the experiment was the medium-sized bouncy ball, because it was the size that children typically play with. The independent variable was the type of bouncy ball used for the experiment, and the dependent variable was how high each bouncy ball bounced. The constants of the experiment were the surface the balls were bounced on, the height they were dropped from, and the material they were made from. First, the medium-sized bouncy ball (that had a diameter of 3.3 centimeters) was held and then dropped from the top of a meter stick that was held up straight. The height that the bouncy ball bounced after it hit the ground was recorded. This was done 3 times, and then the average height that the ball bounced was found. This whole process of dropping the bouncy ball from a meter high and seeing and recording how high it bounced back up three times was repeated again, but the small bouncy ball (that had a diameter of 2.5 centimeters) was used instead of the medium-sized bouncy ball. Finally, this process was repeated one last time with the large bouncy ball (that had a diameter of 4.0 centimeters). A second experiment was performed to see how temperature affects the height a bouncy ball bounces. The control of the experiment was a green bouncy ball that was kept at room temperature. The independent variable was the temperature of the bouncy balls, and the dependent variable was how high they bounced. The constants of the experiment were the material used to make the bouncy balls, the size of the bouncy balls, and the surface the bouncy balls were bounced on. To perform the experiment, the three bouncy balls had to be at different temperatures. A green bouncy ball was kept at room temperature. A blue bouncy ball was kept in a bucket of ice for 15 minutes. A purple bouncy ball was kept in an incubator for 24 hours. The green ball that was kept at room temperature ended up having a temperature of 22.4 degrees Celsius. The blue bouncy ball that was kept in ice ended up having a temperature of 15.6 degrees Celsius. Finally, the purple bouncy ball that was put in the incubator ended up being 40.6 degrees Celsius. First, the green bouncy ball that was kept at room temperature was held and then dropped from the top of a meter stick 3 times onto a tiled floor. The height that it bounced back up after it hit the ground each time was recorded, and then its average bounce height was found. This whole process of dropping the ball from a meter high 3 times onto a tiled floor and seeing and recording how high it bounced after hitting the ground each time was done again, this time using the cold, blue bouncy ball. Finally, to finish the experiment, the process was repeated one last time with the warm, purple bouncy ball. Average Bounce Height (cm) RESULTS AND DISCUSSION 82 81 80 79 78 77 76 Small Medium Large Size of Bouncy Ball Figure 1: Average Bounce Height of Different Sizes of Bouncy Balls The medium-sized bouncy ball, or the control of the experiment, bounced the highest, with an average bounce height of 81.33 centimeters. In second place was the small bouncy ball, which bounced an average of 79.67 centimeters high. Finally, the large bouncy ball bounced the lowest, with an average bounce height of 78 centimeters. The highest that the medium-sized bouncy ball bounced was 82 centimeters, and the lowest it bounced was 80 centimeters. The highest that the small bouncy ball bounced was 80 centimeters, and the lowest it bounced was 79 centimeters. The highest that the large bouncy ball bounced was 80 centimeters, and the lowest it bounced was 75 centimeters. The control of the experiment (the medium-sized bouncy ball) bounced 1.66 centimeters higher than the small bouncy ball. It bounced 6.33 centimeters higher than the large bouncy ball. Therefore, the control of the experiment bounced higher than the other two bouncy balls, or the variables of the experiment. One thing that was noticed while experimenting was that the small and medium-sized bouncy balls did not make a very loud sound when they bounced, but the big bouncy ball did. Another thing that was noticed was that all of the balls bounced slightly to the side in all of their trials. Finally, it was found interesting that when the balls fell and Average Height Bounced (cm) bounced, they would rotate. 78.5 78 77.5 77 76.5 76 75.5 75 0 10 20 30 40 50 Temperature (degrees Celsius) Figure 2: Bounce Height of Different Temperatures of Bouncy Balls In the second experiment, there was an inverse relationship between the temperature of a bouncy ball and its bounce height. The bouncy ball that was kept at a temperature of 15.6 degrees Celsius bounced the highest, having an average bounce height of 78.33 centimeters. In second place was the ball that was kept at room temperature (22.4 degrees Celsius), which had an average bounce height of 76.33 centimeters. Finally, in last place was the ball that was kept at 40.6 degrees Celsius, which had an average bounce height of 75.33 centimeters. The highest that the green bouncy ball kept at room temperature bounced was 79 centimeters, and the lowest that it bounced was 74 centimeters. The highest that the blue bouncy ball kept at 15.6 degrees Celsius bounced was 79 centimeters, and the lowest that it bounced was 78 centimeters. Finally, the highest that the purple bouncy ball kept at 40.6 degrees Celsius bounced was 76 centimeters, and the lowest that it bounced was 75 centimeters. It was noticed while experimenting that the bouncy ball kept at a temperature of 15.6 degrees Celsius seemed to fall down faster than the other two bouncy balls. Also, the warm bouncy ball felt slightly softer than the bouncy ball kept at room temperature did, and the cold bouncy ball felt slightly harder than the bouncy ball kept at room temperature. CONCLUSIONS The hypothesis was found to be incorrect, as the medium-sized bouncy ball bounced higher than the smaller bouncy ball. The medium-sized bouncy ball must have bounced the highest because it gained a good amount of kinetic energy while falling, and it also did not need too much kinetic energy to bounce high. On the other hand, the large and small bouncy balls, although they either gained more kinetic energy or didn’t need as much kinetic energy to bounce high compared to the medium-sized bouncy ball (since they had either a higher or a lower mass), the large bouncy ball also needed more kinetic energy to bounce high, and the small bouncy ball did not gain a lot of kinetic energy while falling. These things offset the large and small bouncy balls’ advantages over the medium-sized bouncy ball. This experiment could be improved by using more bouncy balls of different sizes in between the ones used, to see if there are any sizes of bouncy balls that bounce even better than the medium-sized one that was used in this experiment. Another improvement could be to have someone hold the meter stick straight to make sure that it isn’t tilted, therefore making the results more accurate. Finally, a third experimental improvement could be to use balls that were all made by the same company to make the results more accurate. A future experiment could be to see which surface bouncy balls bounce best on. In the second experiment, there was nothing “mind-blowing” that was found. The only things that were noticed while experimenting that were not shown in the data were the things that were stated in the Results and Discussion section. REFERENCES Bloomfield, Louis. How Everything Works: Making Physics out of the Ordinary. Hoboken, NJ: Wiley, 2007. Print. Exploratorium. "Why Do Balls Bounce?" Exploratorium.edu. Exploratorium. Web. Accessed 1/28/14. Holt, Rinehart, and Winston. Forces, Motion, and Energy. Austin: Holt, Rinehart, and Winston, 2007. Medium. Kagan, Mya. "Why do balls bounce?" Whyzz.com. Whyzz, 2013. Web. Accessed 1/27/14. Wikipedia. "Bouncy ball." Wikipedia.org. Wikipedia, 21 Dec. 2013. Web. Accessed 1/27/14. Wikipedia. "Polybutadiene." Wikipedia.org. Wikipedia, 11 Oct. 2013. Web. Accessed 1/27/14.
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