Therefore the height that it reaches is less high. 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. To find out what affects the height to which a ball bounces. Course of Theoretical Physics : Mechanics (Course of Theoretical Physics), Engineering Mechanics Dynamics (11th Edition). This is why it. The more energy that the ball possessed before being dropped, the more energy was converted into KE while the ball fell. The total energy of the system remains the same; the potential energy changes to kinetic energy, but no energy is lost. The experiment was conducted well however as the utmost efforts were brought into place to avoid parallax error and it was ensured as far as possible that factors that affected how high the ball bounced, excluding the height, were kept constant throughout the experiment. h1will start at 2m and then move down in intervals of 10cm to 10cm. Our dependent variable was. Use the pencil and ruler to connect the incoming and outgoing trajectories of the marble to the point where the marble bounced off the wood. We use the conservation of energy. It is always good to have an explanation for choosing any hypothesis. As the ball flattening upon impact with the floor is not visible as it happens so quickly it would be almost impossible to measure the size of the ball on impact with the floor. So if we double the air pressure, we will get double bounce height. The ball has reached its terminal velocity and cannot fall any faster (unless dropped in a vacuum). Bouncing Ball Example: Experiment, Formula, Force, Motion It bounces off, changing the direction of motion and again reaching its maximum height. Bouncing Ball Experiment 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. Apparatus:Clamp stand, meter rule 2, table tennis ball, desk. Why? The energy that the ball hits the floor with is kinetic energy. A ball falls from 8 metres and rebounds to 52 percent of its previous height. The force that causes a ball to bounce is the reaction force described by Newton's third law of motion. Specifically, you are tasked to determine: B.) The first graph is a displacement vs time graph. Taking an average of several results creates a measurement in the middle of the variation created by the experiment, which is the result that is closest to the height that would be recorded for the balls bounce if it were measured in an experiment that was totally accurate. If you did not observe a consistent, reproducible trend in your series of experimental runs there may be experimental errors affecting your results. Several balls, medium-sized super balls, hollow rubber balls, solid rubber balls, tennis balls, golf balls, baseballs, and whatever other types of balls are available. What purpose does a control serve? The same square of tiling will be used throughout the experiment so that inconsistencies between different floor tiles do not affect results. A ball that is dropped in air however is subjected to air resistance which affects the height to which it bounces. Ball_Bounce - West Virginia University 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. The bounce of a dropped ball has a direct relation with the release height. Studying tables and graphs, we can see trends that tell us how different variables cause our observations. Measuring the height to which the ball bounced on subsequent bounces would be interesting, seeing if h. The variation between results was obtained by taking the minimum result away from the maximum result. The first stage is where the ball bounces from the surface of the ground. Variables - The Tennis ball experiment Try to find more information from physics or mechanics books. An increase in h1, assuming g and m stay constant, results in an increase in m g h1 which results in an increase in GPE. If you get more than one value, calculate and record the average. Choose one of the variables you listed in #4, and design an experiment to test it. Is a bouncing ball an example of simple harmonic motion? List three. As in both cases the main form of energy is GPE it follows that the higher the ball is dropped from, the higher the ball will bounce. Your bibliography must contain sources that are available to you (at your school or local library). Using the slope and graph, we can estimate that the ball would bounce to 0.75 m if dropped from 1.5 m and bounce to 1 m if dropped from 2 m. It is difficult to say with certainty that a ball dropped from 100 m would bounce to 50 m. That is because the heights we dropped the tennis ball from were all under 1 m, and at a much greater distance there may be other factors that would contribute to the bounce height. 1. This will be repeated five times, possibly more (for accuracy), for each height and the top and bottom results will be discounted. For each run, a different amount of change in the variable is used. 30% of the energy that the ball hits the floor wit is lost. By the time the ball comes briefly to a stop, most of its missing energy has been stored in its dented surface. The change in direction when the ball reaches the ground causes a momentary acceleration as seen in the acceleration graph (as acceleration). No, the bouncing ball example is not an example of simple harmonic motion. Using the trends in your experimental data and your experimental observations, try to answer your original questions. Research questions therefore always refer to two variables, and the relationship between them. An investigation of the factors that influence the bounce height of a tennis ball when dropped onto the floor could consider the drop height and the type of surface the ball is dropped onto. The investigation could try to answer these research questions: GPE=Mass (kg) Gravitational Field Strength (N/Kg) Height (m). Bouncing Ball Lab - Warren County Public Schools Changes in air pressure could have affected results as could changes in temperature however changes in these two factors would have been small; air pressure would not have changed enough to affect the results in the hour period in which the experiment was conducted, and although the rooms temperature may have increased by a degree or two, due to body heat, over the course of the period temperature was not a major factor that affected the height to which the ball bounced and would not have significantly affected the results. h2= The distance between the bottom of the ball at the top of its arc after bouncing and the ground. WebA bouncing ball in an ideal scenario will continue this oscillatory motion. This did not happen in my experiment however. Since v2 = 2gh, the CoR = v/v = sqrt(h/h) where h is the height of the bounce and h is the height from which the ball is dropped. Is the measurement method questionable or unreliable? Calculating the coefficient to restitution of ball hitting the floor: The coefficient to restitution can be found out from a graph of h1against h2. Many questions are related. 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). Hence the final answer is: \(\text{Total distance} = 2 \cdot S_n = 2 \cdot 9.6 m= 19.2m\). What Effects the Bounce of a Dropped Ball Bouncing Ball Experiment Our simple experiment is to drop a ping pong ball weighed at 3 grams from a height of 1 metre then 90cm, 80cm, 70cm, Thus a typical ball bounces to 60% of its original height because it stores and returns 60% of the energy it had before the bounce. The last term is also known as the nth term of a geometric progression; n is the number of terms and a is the first term while Sn is the sum of the terms in the sequence as shown in the equation below. What is the dependent variable in the bouncing ball experiment? The motion of the ball can be described using velocity, displacement, and acceleration graphs, or geometric sequences. It is also good to calculate the coefficient of restitution of your ball using the formula CoR = v/v = sqrt(h/h).