Bowling...

__**//Bowling://**__ **//Amber P. and Audrey R.//**


 * //Goal://**
 * //What is the optimal surface in GBS to bowl on? In other words, how does the friction on each of the various surfaces affect the ability to roll the ball the fastest while keeping a constant amount of applied force?//**

//**__Procedure:__**// 1) To find the mass of the bowling ball, we converted 7lbs. to kg, which is demonstrated by 0.45359237 kilograms x 7 pounds=3.17515kg 2) We drew a force diagram, with the mass of the bowling ball in the center. We used the mass to find the force of gravity by multiplying 3.17515 by 9.8 which gave us 31.1164 N. 3) We know that the normal force, the upward direction, is the same, so that is also 31.3364 N. 4) In order to find the force of friction, we used the formula FD=Vf-(1/2)MVi2. 5) Because the ball does not stop after 4.45 m, the distance we've been recording, we cannot use a final velocity of 0 and thus need a second velocity calculation at the end of the video to determine the change we need for our equation. 6) We took a video of the ball traveling on our various surfaces (tile, carpet, a more bumpy carpet, and field house track) so that we can determine the initial velocity and final velocity of the ball as it gets farther from the origin. 7)Once the video was uploaded to Logger Pro, we were able to track the distance of the ball with a marked point every 5-clicks of fast-forwarding, thus letting it find the slope of the ball in the x direction which is the velocity. 8)Afterwards, we measured a "reference point" (Such as one locker, when we rolled the ball on the hallway carpet) and put it into Logger Pro so that it can calculate the total distance traveled and the time it took to do so. Since V=d/t, we have our change in velocity for each video. 8) Using the formula FD=Vf-(1/2)MVi2, we were able to find the friction of each surface. 9) The surface with the most amount of friction would be the worst to bowl on, while the surface with the least friction would be our optimum bowling surface in GBS.

__//**Data:**//__ //Formulas:// //FD=Vf-(1/2)MVi2// //d= v/t// //M= 3.17415 kg// Vi: 129.69 cm/s Vf: 44.81 cm/s Ti: 1.7s Tf: 4.7 s total time:3 s d: 14.94 cm Ff: 14.87N Vi: 78.77 cm/s Vf: 60.40 cm/s Ti: 1.43 s Tf: 3.63 s Total Time: 2.2 s d: 27.45 cm Ff:13.88 N
 * Carpet 1 Locker:**
 * Carpet 2 Door:**

Vi: 130.33 cm/s Vf: 91.754 cm/s Ti: 1.63 s Tf: 4.87 s Total time: 3.24s d: 28.32 cm Ff: 6.278N Vi: 129.25 cm/s Vf: 91.98 cm/s Ti: 3.03s Tf: 5.03s Total Time: 2.0s d: 45.99 cm Ff:1.73 N
 * Field House Track:**
 * Tile Classroom:**

//**__Conclusion:__**// In order to find our optimum surface, we calculated the mass of the bowling ball, an initial and final velocity in each trial, the time that went by, and the distance the ball travelled. We didn’t wait for the ball to stop; we just found a second point to use as a later velocity (The difference is that if we waited for it to stop, we would have a constant Vf of 0 but a varying distance. If we just took a later point in the video, we could call it our Vf as long as we know the distance in between our 2 points. The latter of the options in more efficient, so that’s what we did.) We plugged all of these numbers in to the equation we used to solve for friction: FD=Vf-(1/2)MVi2. We found out that the friction for the carpet in the hallways, the bumpy carpet by some of the doors, the field house track, and the classroom floor were14.87N,13.88N ,6.278N, and 1.73N, respectively. Since classroom floor has the smallest amount of friction, it will be the optimum bowling surface in GBS because the ball will roll the fastest while keeping a constant amount of applied force.