PART 1: Hooke’s Law data....what is your spring constant? PART 1: Hooke’s Law da
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PART 1: Hooke’s Law data....what is your spring constant? PART 1: Hooke’s Law data....what is your spring constant? PART 1: Hooke’s Law data....what is your spring constant? Part 1: Hooke's Law Data Table 1 Hooke's Law Data Mass (kg) Force N)Displacement 0.050±0.002 O. 100±0.002 0.150+0.002 0.200±0.002 0.250+0.002 0.300+0.002 0.350+0.002 0.400+0.002 0.450±0.002 0.1 02±0.005 0.1 9940.005 0.296±0.005 0.405+0.005 0.502±0.005 0.590±0.005 0.701 ±0.005 0.805 ±0.005 0.894+0.005 0.988+0.005 0.500 0.002 Attach a graph either hand drawn on graph paper or computer drawn (MUST HAVE ERROR BARS), showing your best fit line. What is your spring constant?Explanation / Answer
Assuming that the mass is suspended vertically, the only two forces acting are the downward force W=mg and the restoring force from the spring given by: |F| = kx
so, for equilibrium, mg = kx
=> k = F/x
where Force F = mg
take g = 9.8 m/s2.
from the data above, this gives the spring's constant to be approximately k = 4.9 N/m. Plot mg vs displacement x to get the linear plot. The slope of this graph will give the spring's constant k.
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