Introduction In this lab, we are measuring the ranges R of the ball as the function of the heights, H, that the ball is dropped from. I will use these data to determined the relationship between the height and the range.
Procedure We divided this experiment into three parts. In the part one, the object was to observe the scatter in data. To do this, we set up the equipment: the bounce plate is 20 cm above the table ,the drop plate 20 cm above the bounce plate, a piece of carbon paper over a large piece of newsprint. After all of the equipment were set, we dropped the ball through the drop plate, bounced off the bounce plate and hit on the papers. Then, we measure the horizontal distance that the ball landed from the bounce plate. …show more content…
There two methods we used were 1) dropping the ball by free hand , 2) putting a magnet under the ball , and then, dropping the ball by pulling out the magnet. So, we did the part one process in both of these two methods. Then, we use the ruler to measure the standard deviation: we got the mean 12 (2/3 of total points) points , measure the length of their distance and divided this number by two. The final answer will their standard deviation. I found that the best method with smallest amount of error was method one ( free hand), because it has the smaller standard deviation (1.9 cm) compare to the other method …show more content…
The data is shown in the second page of the worksheet. This table will be attached at the end of the report. As the height was increase every 5 cm, we have calculated the range increase 1-6cm.
First, we may calculate the time taken for ball dropped. I’d like to use 30cm’s data as my example.
T= √(2H/g) g is 9.8m/s2 30cm=0.3m t=√(2*0.3/9.8)=0.25s Then, we may find the distance that the ball traveled in the horizontal direction.
R= Xf-X0, where initial distance is 0, and the Xf is 36.2 cm, so, the total distance traveled is 36.2 cm
In this case, we may try to find the final range of the ball dropped in the 30cm.
R=2√Hh=0.25*√2gh=65.9cm
So, the range of ball when dropped in the 30cm will be 65.9cm
Repeat these steps, we may find the range of 25cm, 20cm, 15cm, 10cm and 5cm will be 54.8cm, 46.1cm, 30.0cm, 24.3 and 11.8cm.
Discussion and Conclusions We found the standard deviation is decreased when the height of a ball decreased. So, we can say there has the direct proportion between the range and height of a ball. This means that the graph of range versus height was nearly same compare to the range we calculated above. My data have the correct functional dependence of the height. The slope is 4.2, which can make the √h and R be a straight line. The slope is also correct. I will attach my graph paper below the lab
Procedure We divided this experiment into three parts. In the part one, the object was to observe the scatter in data. To do this, we set up the equipment: the bounce plate is 20 cm above the table ,the drop plate 20 cm above the bounce plate, a piece of carbon paper over a large piece of newsprint. After all of the equipment were set, we dropped the ball through the drop plate, bounced off the bounce plate and hit on the papers. Then, we measure the horizontal distance that the ball landed from the bounce plate. …show more content…
There two methods we used were 1) dropping the ball by free hand , 2) putting a magnet under the ball , and then, dropping the ball by pulling out the magnet. So, we did the part one process in both of these two methods. Then, we use the ruler to measure the standard deviation: we got the mean 12 (2/3 of total points) points , measure the length of their distance and divided this number by two. The final answer will their standard deviation. I found that the best method with smallest amount of error was method one ( free hand), because it has the smaller standard deviation (1.9 cm) compare to the other method …show more content…
The data is shown in the second page of the worksheet. This table will be attached at the end of the report. As the height was increase every 5 cm, we have calculated the range increase 1-6cm.
First, we may calculate the time taken for ball dropped. I’d like to use 30cm’s data as my example.
T= √(2H/g) g is 9.8m/s2 30cm=0.3m t=√(2*0.3/9.8)=0.25s Then, we may find the distance that the ball traveled in the horizontal direction.
R= Xf-X0, where initial distance is 0, and the Xf is 36.2 cm, so, the total distance traveled is 36.2 cm
In this case, we may try to find the final range of the ball dropped in the 30cm.
R=2√Hh=0.25*√2gh=65.9cm
So, the range of ball when dropped in the 30cm will be 65.9cm
Repeat these steps, we may find the range of 25cm, 20cm, 15cm, 10cm and 5cm will be 54.8cm, 46.1cm, 30.0cm, 24.3 and 11.8cm.
Discussion and Conclusions We found the standard deviation is decreased when the height of a ball decreased. So, we can say there has the direct proportion between the range and height of a ball. This means that the graph of range versus height was nearly same compare to the range we calculated above. My data have the correct functional dependence of the height. The slope is 4.2, which can make the √h and R be a straight line. The slope is also correct. I will attach my graph paper below the lab