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# How does the period of the mass - spring system depend on the mass ?

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Introduction

﻿IB Physics Title: Mass Spring System Research Question: How does the period of the mass - spring system depend on the mass ? Hypothesis: Variables: Independent variable in this experiment was the mass. Dependent variable of this system is the Period. Control Variable of the system is the spring constant if the same spring was used and temperature is a also another controlled variable which can affect the system. Method: 1. Attach a spring to the clamp 2. select the different weights that you are going to be using in the experiment 3. make a table that can record three trial of each mass and also the amount of the spring stretches when the mass is hung from the spring. ...read more.

Middle

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 ...read more.

Conclusion

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. ...read more.

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