mm 1. 2. 3. Set up an incline by placing the wooden block under one end of the long board. Note or mark a starting position somewhere near the top of the incline. and an ending position somewhere near the bottom. Measure the distance from the first position to the second. Also measure the height of each position above the lab table. Record all of these. Release one of the four rolling objects from the starting position. Measure the time needed for it to roll to the second position. Repeat the rolling procedure to get a total of 5 times. Repeat the rolling and timing measurements for each of the rolling objects (a total of two spheres, one ring. one cylinder. Samgle Calculations Show a sample calculation for each step or the analysis. Use your own data. Analxsis 1. 2. 3. 4. 5. Calculate the average rolling time to: each of the 4 objects. Calculate the average velocity of each object from G s s/t. (Make one calculation for each object, using the avecfage tine.) Determine the final velocity of each from 'v a 2 V7. For each of the three shapes, substitute the appropriate rotational inertia formula into the energy conservation equa- tion. Solve each equation to find the final velocity. then put in values to determine the final velocity in each case. Calculate the percent of difference for each of the four cases. (Use the step 3 velocities as the correct values.) O ZOOM mm data . A Analzsis 1. Calculate the average rolling time for each of the 4 objects. 2. Calculate the average velocity of each object from '7 = s/t. (Make one calculation for each object. using the average time.) 3. Detemine the final velocity of each from 'v n 2 5. 4. For each of the three shapes. substitute the appropriate rotational inertia formula into the energy conservation equa tion. Solve each equation to find the final velocity, then put in values to determine the final velocity in each case. 5. Calculate the percent of difference for each or the four cases. (Use the step 3 velocities as the correct values.) Conclusions 1' "iw reasonable are the results? 2. What are some sources of error? 3. would the final speed be larger, smaller, or unchanged if one were to uaev a) a sphere with a larger diameter? h) a sphere with a large: mass? c) a hollow sphere instead of a solid one? :2