Question

How would I determine the k constant?

Table One Data

Total Suspended Mass

Displacement(m)

51.5

0.02

91.5

0.035

111.5

0.045

131.5

0.055

161.5

0.065

201.5

0.08

241.5

0.095

261.5    0.11

Spring constant found from table 1 data is k=

Table Two Data

Total Suspended Mass	Displacement(m)
61.5	0.01
101.5	0.03
121.5	0.04
141.5	0.05
161.5	0.055
181.5	0.065
221.5	0.084
241.5	0.095

Answer 1

According to the Hook's Law

m=kx

Here, m is the mass, k is spring constant and x is displacement.

Consider the first case of table 1:

m= 51.5 (as the unit of mass is not given so take it in gram) = 0.0515 kg, x= 0.02 m

Substistute the values:

0.0515 = k(0.02)

k=2.575

Consider the second case of table 1:

m= 91.5 (as the unit of mass is not given so take it in gram) = 0.0915 kg, x= 0.035 m

Substistute the values:

0.0915 = k(0.035)

k=2.614

Simillsrly rest values can be determined.

NOTE: if the all over K is needed then add the vales of all masses and all displacement of required table and then put the value of sum of masses at m and sum of displacement at x in hook's law.