Data:
Original length of spring 76.5cm ±0.3
Data Processing:
Calculating the Average
Average time of 20g ±1 = (3.73s ± 0.3 + 3.30s ± 0.3 + 3.69s ± 0.3 + 3.43s ± 0.3)/4 = 3.54s ±0.3
Average time of 40g ±2 = (4.59s ± 0.3 + 4.59s ± 0.3 + 4.45s ± 0.3 + 4.66s ± 0.3)/4 = 4.57s ±0.3
Average time of 100g ±1 = (6.84s ± 0.3 + 6.88s ± 0.3 + 6.70s ± 0.3 + 6.85s ± 0.3)/4 = 6.82s ±0.3
Average time of 200g ±1 = (9.32s ± 0.3 + 9.57s ± 0.3 + 9.80s ± 0.3 + 9.78s ± 0.3)/4 = 9.62s ±0.3
Average time of 300g ±2 = (11.88s ±0.3 + 11.87s ± 0.3 + 11.89s ± 0.3 + 11.81s ± 0.3)/4 = 11.86s ±0.3
Calculating K
k = 9.8*0.02kg/0.015m = 13.07
k = 9.8*0.04kg/0.037m = 10.59
k = 9.8*0.1kg/0.11m = 8.91
k = 9.8*0.2kg/0.23m = 8.52
k = 9.8*0.3kg/0.34 = 8.64
Average of K = (13.07 + 10.59 +8.91 + 8.52 + 8.64)/5 = 9.95
Calculating the T
T of 20g ±1 =
T of 40g ±2 =
T of 100g ±1 =
T of 200g ±1 =
T of 300g ±2 =
Conclusion
There were some weaknesses with the experiment also as well there was also some limitations which could have caused some errors. One of the errors I noticed which drastically changed the K value was that the first two are way different then the other three values. The first two are different because when we were measuring the time for the first two we would let it go up a little and then let it go and also would start the time right away which cause the error. The other three K values when obtained had already a lot of energy released which lead to a limitation. When I got the two values which are way bigger I knew right away that the three K values that are similar had lost a lot of energy compared to the other two. Another thing that I noticed was that the spring would not go straight up and down but would seem like moving side to side and then also going up and down. Overall I think that there were some errors like the K value we could have done the first two again like the same way I did the rest. But there are some things that I cannot control like its moving left to right while also moving up and down.