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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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
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
0.007084
0.184
0.007188
0.181
0.008981
0.186
0.007254
0.179
0.007074
0.184
0.007066
0.184
0.00704
0.183
0.007063
0.184
Angle of
inclination @
0.648
0.65
0.646
0.653
0.703
0.67
0.627
0.61
0.665
Photogate
sensor
76cm
Ay
Ax
Transcribed Image Text: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 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 0.007084 0.184 0.007188 0.181 0.008981 0.186 0.007254 0.179 0.007074 0.184 0.007066 0.184 0.00704 0.183 0.007063 0.184 Angle of inclination @ 0.648 0.65 0.646 0.653 0.703 0.67 0.627 0.61 0.665 Photogate sensor 76cm Ay Ax
P
Take your ten photogate time measurements, and convert them to speed values using the ball diameter.
For the ten speed values, calculate a mean and a standard deviation.
2) Show the calculation of your inclined plane angle.
3
Use your mean measured speed, your inclined plane angle, your measured Ay, and your knowledge of
the equations of projectile motion to make a prediction of the expected Ax. Show the details of this
calculation in your report.
For your ten Ax measurements, calculate a mean and a standard deviation.
5
Compare the measured Ax to the predicted Ax. Give a percent error and discuss the degree of agreement
or discrepancy. Discuss possible reasons for the discrepancy.
Transcribed Image Text:P Take your ten photogate time measurements, and convert them to speed values using the ball diameter. For the ten speed values, calculate a mean and a standard deviation. 2) Show the calculation of your inclined plane angle. 3 Use your mean measured speed, your inclined plane angle, your measured Ay, and your knowledge of the equations of projectile motion to make a prediction of the expected Ax. Show the details of this calculation in your report. For your ten Ax measurements, calculate a mean and a standard deviation. 5 Compare the measured Ax to the predicted Ax. Give a percent error and discuss the degree of agreement or discrepancy. Discuss possible reasons for the discrepancy.
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