Nabban Tahsin Haque Squash ball Investigation Aim To investigate the way in which the temperature affects the bounce of squash balls. Hypothesis A squash ball is made of an elastic material. When a ball hits a wall, if it has perfect elasticity, it should be stretched to its elastic limit parallel to the wall when the kinetic energy of the ball has been transferred to elastic potential energy. If it has perfect elasticity, all kinetic energy will have been transferred to elastic potential energy and the ball should rebound at the same velocity. Because elasticity is not perfect in any ball, some energy is “lost”. By law of conservation of energy, some of the kinetic energy is converted to head and increases the temperature of the ball. Due to this some kinetic energy will have been lost and the ball should require more force to reach its elastic limit on the next hit. Considering the ball is hit at a constant force, the ball should bounce lower and will not bounce back to the height from which it is dropped.1 It will however increase the height up to which it bounces as it is heated. As the ball will be heated before it is bounced, the heat will increase the pressure within the ball as per the pressure law. This increased pressure will cause the ball to bounce higher as it will give added force to the pushback of the elastic potential energy. Variables Independent The temperature of the squash ball. Dependent The bounce of the squash ball. Controlled Height of release. Force with which it is released. Angle of release. Angle of Surface. Apparatus and Materials 6 Squash ball. Measuring tape. Thermometer. Water. Beaker. Bunsen burner. Match sticks Gauze Goggles Tripod Tongs 1 (Adrian Popa), http://www.madsci.org/posts/archives/aug98/901564971.Ph.r.html Nabban Tahsin Haque Method 1. Measure temperature of squash ball. 2. Drop squash ball from a height perpendicular to the surface of contact. The surface should be flat. 3. Measure how high the ball rebounds. 4. Increase the heat of the squash ball and measure temperature. 5. Drop it from the same height. 6. Measure height once more. 7. Repeat until a number of results have been collected. Results Height of Drop=185cm Temperature of Squash ball (C) 23 30 40 50 60 70 80 90 Data processing Average Bounce= Trial 1 28 32 38 48 57 61 68 82 Height of Bounce (cm) Trial 2 Trial 3 Trial 4 27 29 30 31 33 34 37 40 49 47 50 50 58 58 58 62 63 63 69 69 70 83 85 84 Trial 5 28 32 38 47 56 65 68 82 Trial1 Trial2 Trail3 Trial4 Trial5 5 Height of Drop=185cm Temperature of Squash ball (C) Height of Bounce (cm) 23 30 40 50 60 70 80 90 Trial 1 28 32 38 48 57 61 68 82 Trial 2 27 31 37 47 58 62 69 83 Trial 3 29 33 40 50 58 63 69 85 Trial 4 30 34 49 50 58 63 70 84 Trial 5 28 32 38 47 56 65 68 82 Average Height of Bounce (cm) 28.4 32.4 40.4 48.4 57.4 62.8 68.8 83.2 Data Analysis The results show that as the temperature seems to increase, so does the bounce of the ball, looking at averages only. Also, following the trend line of the graph, the bounce seems to increase at a consistent rate with a sudden ‘jump’ at the last 5 results, those for 90˚C which reduce the accuracy of the trend line. Nabban Tahsin Haque Conclusion In Conclusion my hypothesis does seem to be correct. As the temperature of the squash ball was increased the bounce also increased substantially, following a trend. The ball did not bounce back to the height of the drop, showing the ‘losses’ of energy present. The results are reasonably accurate as the trend line has an R2 value of R2 = 0.9896. Evaluation The experiment was not completely accurate. As we increased the temperature of the squash ball by immersing it in heated water, we did not know the exact temperature of the ball. Also we did not know how long we had to keep the ball in the water in order to make sure the ball reached the temperature of the water. Further more, as we dropped the ball, we did not know if the ball was dropped straight down without any external force, and due to the round shape of the ball and revolutions on it as it fell, there was some deviation in the bounce, making it difficult to tell the exact height of the rebound. Also, because we measured the height at the top of the bounce by eye with a ruler behind it, human error is present. The trend, however, can be used to prove the hypothesis for the test was performed multiple times and there was a substantial increase in the bounce for each temperature. One way to improve the experiment may be to heat the squash ball by leaving it for an obligatory amount of time in an environment constant at the required temperature. It may also help if we dropped the squash ball from a device such as a retort stand which is constantly at the height of the drop, removing the problems of human error in the force and height of the drop. Dropping the ball down a tube which minimizes friction and is see through with a height measure to the side would help minimize the problems of bounce deviation and the reading of the height.