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Measuring &quot;g&quot; by freefall

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Introduction

Calculating ‘g’ by freefall

Design

In this experiment, the independent will be height. I will choose a range of heights to make sure that the ‘g’ force is similar from all heights. The dependent is going to be time

To keep the experiment as fair as possible, I will try to keep the shape of the plasticine. This is necessary because the shape will determine the amount of air resistance on plasticine. For example if the plasticine is flat there will be a lot of air resistance due to the large surface area. However if it is a sphere, there will be less air resistance then the flat one. I will also try to keep the mass of the plasticine the same at all times. This is necessary because the mass will determine the speed on the plasticine in a small height. It should be fine in tall heights as air resistance will come into play.

Middle

±0.21

7.41

±5.71

2

0.34

±0.23

11.8

±8.14

3

0.48

±0.28

12.5

±7.25

4

0.58

±0.31

13.8

±7.27

5

0.69

±0.33

14.5

±6.99

6

1.08

±0.41

11.1

±4.27

7

1.32

±0.46

10.6

±3.68

8

1.59

±0.50

10.1

±3.21

9

1.66

±0.51

10.8

±3.35

Conclusion and Evaluation

Conclusion

According to my results the height and the time aren’t directly proportional. However I think they should be proportional. I think my results are not proportional because there are systematic errors in the experiment .c

 Height, h (m) Gravity(m/s2) Uncertainty(m/s2) 1 7.41 ±2.1 2 11.8 ±1.3 3 12.5 ±2.9 4 13.8 ±2.6 5 14.5 ±2.8 6 11.1 ±3.2 7 10.6 ±1.1 8 10.1 ±0.5 9 10.8 ±0.3

I think that the values of the systematic errors are too high. The reason for this is the standard value for reaction time (0.2s). The values of the results were really small. Therefore the 0.2 was a really big percentage of it. Because of this the uncertainties were really high. If I didn’t use the 0.2 and just used the range from my results, the uncertainties would be much lower.

Conclusion

I think some of my results were quite accurate and a few were quite precise. However there were a lot of data that wasn’t  precise at all. Out of the 9 heights, only 3 were precise in which only two were accurate too(8m and 9m).

To make my experiment more precise and accurate more hi-tech equipment is needed such as using lasers to help me time accurately. To make it more accurate I would also try to make to eperiment with bigger heights. This will make the results more accurate because there will be more reaction time. I think  To make more precise I would need to coduct this equipment in a place where there is no air resistance. However this is not possiable in a school as the technology needed to this is too expensive. Another way of improving the precision is to get rid of the anomalous result and redo the equipment.

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