A single experiment may contain many control variables. Grades: Preschool and K-2 Length of Lesson: Approximately 45 minutes Related Video: The Hawk Factor episode Learning Goals: Choose one of the variables you listed in #4, and design an experiment to test it. Data Table 2: Average Bounce Height at Each Height: Graph 1: Height of Ball drop versus Height of ball bounce: Our data indicates that the hypothesis was incorrect. Report DMCA Overview Height the ball bounced to (average of middle three) when dropped from: 10cm = 6.7 6.7 = 66% of 10 (to the nearest percent), 20cm = 14.0 14.0 = 70% of 20 (to the nearest percent), 30cm = 22.3 22.3 = 74% of 30 (to the nearest percent). Also it shows inaccuracies in the experiment as it shows that heights were recorded that exceeded the height that the ball would have reached had it been dropped in a vacuum. These polymers are tangled together and stretch upon impact. = The distance between the bottom of the ball before it is dropped and the ground. When the ball collides with the floor, the ball becomes deformed. Based on your gathered information, make an educated guess about what types of things affect the system you are working with. it seems the ball is experiencing an oscillatory motion. However if two results are recorded that do not fit the trend of other results nor are close to results recorded for that height then the experiments accuracy would be brought into doubt. It was difficult to get down to the exact level of the blue tack seeing as it meant lowering your entire upper body in the short amount of time taken for the ball to hit the floor and rebound again to get your eye level from h, (where the blue tack was stuck, approximately). Once the drag force equals the gravitational force all forces are equal and acceleration stops. Our lab group was able to determine the relationship between drop height and bounce height. Hypothesis. The Particular experiment is about : How does the drop height of a ball affects the bounce height of the ball. StudySmarter is commited to creating, free, high quality explainations, opening education to all. What does the motion of a bouncing ball look like? A bouncing ball follows a projectile motion which is moving near the surface of the earth in a curved path due to the effect of gravity. Try to find more information from physics or mechanics books. Therefore of the GPE that the ball possessed at the beginning some energy is given off as thermal energy. Without a control you cannot be sure that changing the variable causes your observations. Specifically, you are tasked to determine: B.) A series of experiments that includes a control is called a controlled experiment.. Also the mass of the ball affects the chances of the ball reaching its terminal velocity. A decrease in h1, assuming g and m stay constant, results in a decrease in m g h1which results in a decrease in GPE. When dropped on a solid surface, not even a super ball bounces back as high as its initial height, but some balls do bounce a lot better than others. In this experiment there are FOUR VARIABLES. Identify your study strength and weaknesses. These both support my prediction and show that my prediction was correct. That height fraction is equal to the fraction of energy that the ball successfully stored and returned during its bounce. Perform this test in a Gym or anywhere else where you have a hard surface and an accessible wall. This will be called the average of the middle three repeats. Preparation: Draw a ruler with high visibility on a roll of paper about 8 inches wide and 6 feet tall. The mass of the ball will affect the height the ball bounces to because it affects the balls starting energy. The difference between the predicted height and the actual height will provide evidence as to how air resistance affects the flight of the ball. Therefore the ball ends up with more GPE, , assuming g and m stay constant, results in an increase in m g h, , assuming g and m stay constant, results in a decrease in m g h, As the ball is accelerating due to gravity, at 9.81m/s. This can either be assumed and chosen, or it can be stated in a question.). C) Frozen tennis balls will not bounce as high. Because of these forces, both the ball and floor deform inward. The energy that the ball hits the floor with is kinetic energy. In air considerations have to be taken into account such as air resistance but even so the rough height to which it will bounce to can be predicted before dropping the ball. These are parts of the experiment that you try to keep constant throughout an experiment so that they won't interfere with your test. It pushes downward on the floor and the floor pushes upward on it. Repeat this test from 2 ft, 3 ft, and 1/2 ft. Do this test for each ball and record data. The experiment was conducted as the method (below) states. Also the facts that there were no anomalies and that all of the points were very close to the line of best fit show that the experiment was relatively accurate. It shows that heights were recorded that exceeded the height that the ball would have reached had it been dropped in a vacuum. \(E_{pot} = E_{kin} \cdot m \cdot g \cdot h = \frac{1}{2} \cdot m \cdot v^2\). The CoRs apply to balls dropped or thrown at a rigid wooden surface. It goes back to its initial vertical position after a period of time. They can be the hardest part of a project. Create the most beautiful study materials using our templates. 7. This means that the faster that the ball travels the larger the force of air resistance upon it. At the lowest point, the ball has its minimum potential energy, and the velocity changes from negative to positive. This means that not all the GPE is converted into KE as it would have been if the ball had been dropped in a vacuum. Balls: Terminal Speed and Coefficient of Restitution. The exact interval will be determined after the preliminary experiment, as will the number of heights that the ball will be dropped from. The only difference is that no experimental variables are changed. You may now be able to understand or verify things that you discovered when gathering information for the project. Kinetic energy is energy of motion. This proves that the higher h1the more h2will differ from the height that the ball would have reached had it been dropped in a vacuum. Instead, as the ball is still always loosing GPE so long as it is still falling, all GPE is converted into thermal energy. Questions lead to more questions, which lead to additional hypothesis that need to be tested. This will mean that I will have to have the interval between the different heights from which the ball is dropped from less than 20cm, probably at 10cm. List three. Also the difference between the force of air resistance acting upon a ball travelling at 1ms, and the force of air resistance acting upon a ball travelling at 2ms, is far smaller than the difference between the force of air resistance acting upon a ball travelling at 20ms, and the force of air resistance acting upon a ball travelling at 21ms, , the faster the velocity that the ball reaches. Both potential and kinetic energy have units of Joules (J). The format you use to write your bibliography may look like this: Are you ready for more advanced ball drop projects? The process of obtaining information by using the senses is called a/an. The more KE that the ball possessed as it hit the floor, the more that was transferred into elastic potential energy and back into KE. of the users don't pass the Bouncing Ball Example quiz! The surface onto which the ball is dropped will affect the height to which the ball bounces because for any two objects that collide, the properties of both determine the percentage of the kinetic energy either possesses approaching the collision that is conserved subsequent to the collision taking place (Coefficient to restitution) discounting the effects of air resistance. Stop procrastinating with our study reminders. My hypothesis is based on my observation of balls that are not well inflated. The ball has reached its terminal velocity and cannot fall any faster (unless dropped in a vacuum). Removing the maximum and minimum results and taking an average of the middle three results also provided more accurate results. While a value of 1 indicates a perfectly elastic collision, a value of 0 indicates a perfectly inelastic collision. Material that you may test are: Carpet, Rubber matte, ply wood, sponge, Styrofoam, another ball, . WebWhat is a control? Your challenge will be to find a way to determine your balls e, and the initial height of the ball when you first dropped it. You will then take your bounces and their respective time intervals to a spread sheet. External factors, i.e. For instance result 3 from 200cm was an anomaly but was not taken into account when taking the average of the middle three. The ball has reached its terminal velocity and cannot fall any faster (unless dropped in a vacuum). When the ball travels in the negative direction (downwards), the velocity can be assumed to be negative. Drag is a squared function of velocity and therefore as the ball drops drag increases a greater amount each second. This is because the experiment is a very short and simple one to carry out and if conducted efficiently can be completed easily within the time span allowed for collecting evidence. Using the geometric sequence for an infinite sequence and substituting the given values we get: \(S_{\infty} = 2 \cdot \frac{\alpha}{1-r} = 2 \cdot \frac{6m}{1-0.38} = 19.35 m\). You may need to calculate the average of bounce height. We have a new and improved The coefficient to restitution can be found out from a graph of, it follows the gradient of the graph change in h. . Materials:-Carbon Paper-Goggles-Golf Yes, as the ball receives a force from the ground due to collision, which causes the ball to bounce off the ground. Height will be the variable that we will vary. However the conditions were kept the same for each drop of the ball. Based on these trends, we can draw conclusions about the system under study. When the ball was dropped from the higher heights the ball began to show signs of reaching its terminal velocity before it reaches the ground. Is a bouncing ball an example of Newton's third law? 70% is retained. As velocity increases air resistance increases in proportion to the square of the velocity. Using the geometric sequence formula, the sum of the terms which are the heights of the ball after each bound: \(S_n = \frac{\alpha(1-r^n)}{1-r} = \frac{6m(1-0.38^5)}{1-0.38} = 9.6 m\). This calculation is shown in the data analysis section above. If the coefficient to restitution = 0.7, a ball dropping from h, in a vacuum would reach the height of 0.7 h, As velocity increases air resistance increases in proportion to the square of the velocity. This causes the amplitude of the height to reduce over time and eventually come to a stop due to friction forces like air resistance, which are assumed to be zero in an ideal scenario. Heres an example of an Excel spread sheet that analyzes whats going on: Heres a graph of energy vs. bounce from the spread sheet: Purpose: To determine how high a tennis ball will bounce when dropped from a specific height. WebThere are many different variables that would affect the bounce height of a ball. B) Using the conservation of energy, find the velocity of the ball before it hits the ground from a height of three metres. Set individual study goals and earn points reaching them. The surface onto which the ball is dropped upon will be kept the same. Measuring the height to which the ball bounced on subsequent bounces would be interesting, seeing if h. If the common ratio of the sequence is between 0 and 1, then the term r would approach zero. An average will then be taken. Aim:To find out what affects the height to which a ball bounces. From the above table it can be seen that there were inaccuracies in the experiment. The third stage is the point at which the ball is momentarily deformed, and bounces off the ground in an upward direction until it reaches its maximum height. In this experiment you will test the bounce of a dropped ball for different surface hardness. The higher h1, the faster the velocity that the ball reaches. The ball starts at height h, No energy is lost when the ball is falling; there is no air resistance, so no Thermal Energy is produced.
Naira Marley Twin Brother,
South Carolina High School Softball Scores,
Do Jack And Lisa Divorce On Heartland,
Articles C