Quick description In this lab you will study two-dimensional motion, specifically projectile motion. You will roll a ball down an inclined plane (a track with one end propped). The ball will fly off the end of the inclined plane and undergo projectile motion until it hits the ground. At the moment the ball is leaving the inclined plane, a photogate detector measures the time the ball takes to pass through the gate. Using the diameter f the ball and the photogate time, you can calculate the speed of the ball when it passed through the photogate. Based on the angle of the inclined plane, the initial speed for the projectile motion, and the distance the ball falls (Ay in figure), you should be able to predict the horizontal distance (Ax in figure) and compare it to your measured horizontal distance. 41cm Ball 121cm Inced Plane Angle of inclination @ Table Inclined plane angle = sin ^-1 (41cm/121 cm) = 19.81° Ball diameter = 0.013 m Delta Y= 76 cm=0.76 m Time (s) Velocity (m/s) Delta X (m) 0.00707 0.184 0.654 0.007186 0.181 0.648 0.007084 0.184 0.65 0.007188 0.181 0.646 0.008981 0.186 0.653 0.007254 0.179 0.703 0.007074 0.184 0.67 0.007066 0.184 0.627 0.00704 0.183 0.007063 0.184 0.61 0.665 Photogate sensor 76cm Ay Ax
Quick description In this lab you will study two-dimensional motion, specifically projectile motion. You will roll a ball down an inclined plane (a track with one end propped). The ball will fly off the end of the inclined plane and undergo projectile motion until it hits the ground. At the moment the ball is leaving the inclined plane, a photogate detector measures the time the ball takes to pass through the gate. Using the diameter f the ball and the photogate time, you can calculate the speed of the ball when it passed through the photogate. Based on the angle of the inclined plane, the initial speed for the projectile motion, and the distance the ball falls (Ay in figure), you should be able to predict the horizontal distance (Ax in figure) and compare it to your measured horizontal distance. 41cm Ball 121cm Inced Plane Angle of inclination @ Table Inclined plane angle = sin ^-1 (41cm/121 cm) = 19.81° Ball diameter = 0.013 m Delta Y= 76 cm=0.76 m Time (s) Velocity (m/s) Delta X (m) 0.00707 0.184 0.654 0.007186 0.181 0.648 0.007084 0.184 0.65 0.007188 0.181 0.646 0.008981 0.186 0.653 0.007254 0.179 0.703 0.007074 0.184 0.67 0.007066 0.184 0.627 0.00704 0.183 0.007063 0.184 0.61 0.665 Photogate sensor 76cm Ay Ax
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