course Phy 121
Experiment 6Figure 1. Average horizontal velocities (in cm/s) vs. time (in s) and its uncertainties.
According to Figure 1, there does not seem to be much dependence of average horizontal velocities with that of time, causing it to be independent and therefore constant. However, in this experiment, the differences in horizontal velocities could have to do with random uncertainties during the experiment itself.
Figure 2. Final velocity on ramp (in cm/s) vs. average horizontal velocity (in cm/s) for 20 cm, 25 cm, 30 cm, 35 cm, 40 cm and 45 cm.
Unfortunately, according to Figure 2, the results do not represent that the average horizontal velocity as a constant is equal to that of the final velocity on the ramp. Since the final velocity on the ramp is a constant, it is understood that the horizontal velocity of the falling ball would also have a constant velocity. In this case, the slope should be zero, forming a straight line on a graph showing that both final velocities and average horizontal velocities are in fact constant. If the average horizontal velocity were to decrease, the straightness of the line would change and would no longer be straight, and the slope would therefore become negative. If the horizontal velocity were to increase, the straightness of the line would also change, however the slope would be positive. In the case of this particular experiment, it seems that the horizontal velocity increased, creating a positive slope. This could have to do with timing errors through different trials. Because of these uncertainties, it can cause the straightness of the line to not be straight, creating positive or negative slopes.
Data
Distance Fallen (cm) Horizontal Distance (cm)
10 6.4
20 9.1
40 13.9
80 20.7
Table 1. Distance ball fell (in cm) vs. horizontal distance on paper (in cm).
Distance Fallen (cm) Time (sec)
10 0.14
20 0.2
40 0.29
80 0.4
Table 2. Distance ball fell (in cm) vs. time it took for ball to fall distance (in se
Distance down ramp (in cm) Time (in sec) Average Velocity (in cm/s) Final Velocity (in cm/s)
20 0.72 27.8 55.6
25 0.74 33.8 67.6
30 0.82 36.6 73.2
35 0.91 38.9 77.8
40 0.95 42.1 84.2
45 1.01 44.6 89.2
Table 3. Distance ball was dropped from on ramp (in cm) to barrier, the time it took (in sec), the balls average velocity (in cm/s) and its final velocity on the ramp (in cm/s).
Distance for Falling Ball (in cm) Horizontal Distance (in cm) Time (in sec) Average Horizontal Velocity (cm/s)
20 9.1 0.2 45.5
25 9.5 0.23 41.3
30 11.2 0.25 44.8
35 11.9 0.27 44.1
40 13.9 0.29 47.9
45 14.4 0.3 47
Table 4. Distance ball was dropped from on the ramp (in cm), the horizontal distance the ball fell on the paper (in cm), the time it took the ball to fall (in sec) and the average horizontal velocity of the ball (in cm/s).
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