When a 0.067 kg metal ball was dropped from rest, the average acceleration due to gravity (g) was 7.33 m/s2(Appendix A Table 1) and the time was recorded as well as the displacement. The kinematic equation of motion for displacement, g=2(x-vot) /t2(Appendix A, figure 1), was used to solve for acceleration. The variable g represents the acceleration of gravity in free fall, x represents the total distance traveled by the ball, t represents time, and vo represents the initial velocity of the ball. The ball was was dropped slightly above the photogate, therefore the exact initial velocity of the ball was not 0 m/s at xi. The initial velocity at xi was estimated by dividing the diameter of the metal ball by the time it took for the ball to pass …show more content…
To determine the acceleration of the ball, the equation g = 7(v2)/10h was derived (Appendix B figure 1) using conservation of energy principles. The variable v represents the final velocity of the ball at the bottom of the ramp and h represents the height of the ball at rest above the table. In measuring the velocity of the ball and height of the ramp there were inaccuracies that could have affected the calculated accelerations for the ball. The accuracy of the height measurement was limited by the meter stick because a meter stick is only accurate to +/- 0.001 m. With a height of 0.070 m, the meter stick would have contributed a significant measurement tolerance. Additionally, friction was not included in conservation of energy calculations. In rolling down the ramp, part of the ball's initial potential energy was converted to heat energy due to friction. Because the loss of energy due to friction was not accounted for in the derived equation, an average acceleration of 7.21 m/s2 differs slightly from the actual acceleration due to gravity that the ball experienced. Additionally, conservation of energy principals do not account for the effects of air resistance on the metal ball. Therefore the actual acceleration of the ball due to gravity would have differed slightly from 7.21m/s2. The accepted value for …show more content…
To determine the acceleration of the pendulum, the equation for the period of a pendulum was used. Acceleration was derived so that g = L / (T / 2)2 (Appendix C Figure 1). The variable L represents the length of the pendulum to the center of mass, T represents the period of the pendulum, or the time of a full swing, and g represents the pendulum’s acceleration due to Earth’s gravity. In measuring the length of the pendulum, measuring tolerances occurred. The length of the pendulum was found to be 0.450 m, however because a meter stick was used, this measurement is inaccurate by +/- 0.001 m. Furthermore, L represents the distance to the center of mass of the pendulum. L was measured as the distance from the top of the string to the center of the pendulum mass. The string’s mass was considered negligible in calculations for L, but because it had a small mass, the center of mass was not exactly at the center of the pendulum weight. This added additional measurement errors and inaccuracies in the calculations for finding g. Air resistance, which is affected by surface area, drag, and velocity, was not accounted for in the calculations. However, the effects of air resistance are negligible because of the small surface area, drag, and velocity of the pendulum. Due to these sources of error, the average acceleration for
Once in the gym, Rachel set up the popper with the small wooden ball, Jonah again holding the meter stick nearby. I again recorded a video of the ball’s flight but from a greater distance. The group then watched the video in slow-motion and determined the peak of the ball. The height was determined by setting up a proportion; for example, if the meter stick was about .005m tall on the video, and the ball flew to a height of about 0.02m on the video, then the ball flew to a height of 4.00m. This method removed much of the precision of the measurements: the group could not see the ball well from the distance at which the videos were taken and the measurements of the meter stick and height on the videos were estimated rather than truly measured. Despite lack of control over the values, here are the values we recorded for each ball, adjusted to 3 sig
Moving along, to the second experiment, “How does force affect your game?” concludes that using a 10 pound ball applying strong force provides a velocity (m/s) of 3.2, a result of 25 (J) for the kinetic energy, and 5 bowling points
There were many opportunities for error within this lab due to the procedure the group decided to follow. However, the percentage error was not very significant, with a 1.12% to 6.71% difference between the actual and predicted velocity. The slight difference between the percentages could have been a result of parallax, instrument resolution, environmental factors, and the lack of trials. Once major source of error was the group’s decision to bypass collecting many data trials in the interest in time. This may have introduced biased sample fallacy into the conclusion because there were only two trials per a flying toy and which was little evidence to support the statements made about the relationship between velocity, acceleration, and circular motion. For the next lab, the group plans to conduct at least three trails and then use the average to avoid this bias. Environmental errors present during this lab included classmates walking into the flying toy while the group was collecting data,
An experiment was set up with the goal to prove a hypothesis created, which stated that the mass of a marble would not have any effect in the acceleration of that specific marble as it moves down a ramp. During the testing of the hypothesis, the data collected demonstrated that the acceleration of three different marbles with different masses were nearly identical, which reinforced and proved the hypothesis. Acceleration is the rate at which the velocity of an object changes, and velocity is the speed of an object in a specific direction. To test the hypothesis, a marble had to be released right behind a photogate on a ramp, which was placed on the tenth hold. As a consequence, it was impossible for the marble’s time to be recorded with an
An object that has rotational equilibrium, or is balances, has a net torque of 0. The torque of an object is directly proportional to the distance from the applied force to the pivot point, the applied force and its angle; and the formula is T=F*d*sinθ. In this laboratory, we unbalanced and balanced a meter stick by hanging different masses from different distance of the pivot point. In addition, the mass of the meter stick was found using the torque formula.
This great invention had to have a lot of thought put into it because precautions must be made to assure that the pendulum is not acted upon by any outside forces besides gravity. Constructing a mini pendulum for an experiment is very hard to do because of the precise measurements that must be made to ensure the ratios are correct and that it will swing where it is supposed to swing. For example, to start the pendulum moving, it is usually held at an angle by a string, and then burned to release the pendulum. Letting go from one 's hands, or cutting the string, could give the pendulum momentum that is not right in a particular direction creating a variable and inaccurate results. A heavy pendulum on a long, rigid wire will continue going for long periods of time, but air resistance will eventually cause the motion to lessen and stop. Museums usually use an electromagnetic drive to keep the pendulum moving. This provides additional energy to the pendulum but doesn’t affect its direction of motion.
Galileo discovered, if you drop two objects of the same mass from the same height, they will hit the ground simultaneously, as Earth's gravitational pull on all objects is with the same force (9.807 m/s²). Knowing this, the mass of a pendulum will not affect the length of the period. If I drop a pendulum from a higher angle it should have more potential energy and move faster than if I dropped it at a lower angle making the period shorter, right? Well, yes and no. In this case, the bob is moving faster, but it's a longer distance to travel. So the pendulum will move faster but because it is a farther distance to go these factors will even out making the period the same length no matter the drop angle. The book and video specifically mentioned the length is the single factor that will change the period and speed of the pendulum. This can be proved because the bob has a farther distance to go without going any slower or faster. The actual speed isn't varying but due to the farther distance, it takes longer to complete one cycle. From this information, I can conclude some pendulums swing faster than others due to the length of the pendulum and nothing
The air pressure inside a basketball has the biggest affect on bounce. The purpose of conducting this experiment is to determine if a basketball with a greater air pressure (psi) inside the basketball will bounce higher. The hypothesis for this experiment is 'If air pressure is decreased inside the basketball, then the bounce height will decrease as well'. I have participated in numerous inflatable ball sport activities and from personal experience this has enabled me to make an opinion on the results of the experiment, which is expressed in the hypothesis. A video camera was set up on a tripod, this was the main means of collecting the information by recording the bounce of the basketball after being released from a height of 2.7 meters in front of a measuring stick. The experiment was commenced with the basketball inflated to 12 psi and then the psi was decreased by one unit until the basket ball was measuring zero psi. It was essential that at each level of psi the basketball was dropped three times to gather an average resulting in more reliable data. When conducting this experiment the findings revealed the hypothesis was proven correct. When the basketball had the greatest amount of psi (12) it bounced the highest with a average height of 186.7cm. When the basketball had the least amount of psi (zero) it bounced the lowest height of 16.7cm. The results of this experiment provide valuable information to basketball players as it identifies that having the right
When the experiment is undertaken the distance from the ramp to the landing position of the ball is recorded (value d in diagram 1). This means that the formula, Xv= X1+Vvt +12at2 can be used to find the vertical component, however, (t) time is required for this formula. Using the equation v=dtthe time can be found.
A pendulum is a bob suspended by a string from a fixed point and behaves in an oscillating manner. When released from an angle away from its equilibrium, it swings side-to-side in a periodic motion. The time it takes to complete one full swing is considered the period and the purpose of this investigation is to discover the effect of the string length on the period of the pendulum. This will be accomplished by recording and analyzing data with the use of data tables and graphs.
Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave? ! Does the object accelerate, or is the speed constant? !
ball’s acceleration (a) depends on the applied force (F) divided by the object’s mass (m) (The
Kassandra Whiteford Dr. Ruzhitskaya Foucault Pendulum Experiment 1-30-18 Support of Foucault’s Pendulum The Foucault’s Pendulum was named after French Physicist Leon Foucault (Sommeria). He created the experiment to prove that the Earth is in a constant state of rotation. The experiment was simple, a Pendulum was created with a weight on the end of a wire which was attached to a fixed point on the ceiling, once set in motion it continued to move and slowly rotated its position.
The pendulum was pulled to about 15 cm from the motion detector. In case of the mass on a spring, the mass was pulled till just a few inches away from the motion detector.
A simple pendulum consists of a mass that is attached to a string of length ‘L’ that is fixed to a point, in this case, a cork suspended by a clamp stand. This allows the mass to be suspended vertically downwards and allows it to be displayed at an angle that it swings. A period ‘T’ of oscillation is the time required for one complete swing. For this to happen ideally its mass must swing from an angle that is