In order to collect all the data for this experiment. For this calculation use the accepted value of the acceleration due to gravity, g = -9.81 m/sec 2. Controlled variables include, but are not limited to, the mass of the tennis ball and gravity. A bouncing ball in an ideal scenario will continue this oscillatory motion. The ball loses potential energy as it falls and gains kinetic energy as it moves and gains velocity. It bounces in a semicircular trajectory, and obeys Newton's second law. PVector location // Location of shape PVector velocity. This example is not object-oriented See AccelerationWithVectors for an example of how to simulate motion using vectors in an object. Demonstration of using vectors to control motion of a body. The height of the apex is recorded in your table. The bouncing ball example is an example used to study projectile motion in mechanics. / Bouncing Ball with Vectors by Daniel Shiffman. Use the fact that the ball was originally released from rest off of the roof which was 5.14 meters above the ground. You are to calculate the coefficient of restitution for the third ball. In our lab, it can be calculated as the ratio of |v o| for the ball rising to the apex divided by |v f | for the ball falling from its initial release off the roof. The coefficient of restitution is a measure of the speed of separation to the speed of approach in a collision. Why did the ball not bounce back up to the height from which it was originally released? How should the ball’s impact velocity when it first strikes the ground at the start of the bounce compare to its final impact velocity when it strikes the ground at the conclusion of the bounce? Support your answer. For Trial 2, repeat steps 5 and 6 but drop the ball from a height of 50 cm. Drop the ball 4 more times from 40 cm, recording the bounce height each time, for a total of 5 drops. Record the bounce height in the data table. The motion of a falling object when the only force acting in it is gravity. For Trial 1, hold the ball at a height of 40 cm, drop the ball carefully and observe the bounce height. Which aspect of the data collection had the least precision: the timing or the ball's height measurement? Support your choice. This changes the direction of the ball and sends the tennis ball bouncing. Using your average experimental value for "g", calculate a percent error against the accepted value for the acceleration due to gravity at sea level, -9.81 m/sec 2. Where r and ω denote the radius and angular velocity of the ball, while R and Ω denote the radius and angular velocity the impacting surface (such as a baseball bat).What is your group's average experimental value for "g" based on all 5 trials? The gravitational force is directed downwards and is equal to F G = m g, Trajectory of a ball bouncing at an angle of 70° after impact without drag, with Stokes drag, and with Newton drag. The bounciness of balls has been a feature of sports as ancient as the Mesoamerican ballgame. To ensure fair play, many sports governing bodies set limits on the bounciness of their ball and forbid tampering with the ball's aerodynamic properties. The motion of a ball is generally described by projectile motion (which can be affected by gravity, drag, the Magnus effect, and buoyancy), while its impact is usually characterized through the coefficient of restitution (which can be affected by the nature of the ball, the nature of the impacting surface, the impact velocity, rotation, and local conditions such as temperature and pressure). However, the exact modelling of the behaviour is complex and of interest in sports engineering. Several aspects of a bouncing ball's behaviour serve as an introduction to mechanics in high school or undergraduate level physics courses. The physics of a bouncing ball concerns the physical behaviour of bouncing balls, particularly its motion before, during, and after impact against the surface of another body. The motion is not quite parabolic due to air resistance.
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