In this part, you move the pendulum arm out of the way and you shoot the ball horizontally several times from a desktop. You mark the places on the floor that it hits but using a sheet of carbon paper on top of white paper on the floor. The carbon paper leaves a small black spot on the white paper every time the ball hits. Use the average position of a cluster of points (usually accurate within +/- 3cm or better). A. Derive the equation for the initial velocity vo of the ball in terms of X (total displacement in horizontal direction), Y (total drop in height) and g. (use kinematics) VO =
B. You measure the distance the ball drops to be Y=97.8 cm (+/- 0.2 cm) Here you have already taken into account the size of the ball, so it's the amount the center of mass drops. You measure X to be 220 cm (+/- 2 cm). Calculate the initial velocity of the ball using the equation above. Vo = cm/s
C. The independent values of vo in parts 1 and 2 should be similar. Take the average here and use this for the rest of the lab for the value of vo. Fill in the +/- to span the range of your 2 value of vo. Average ve +/- cm/s