F1 = mg = (0.25)(10) = 2.5 N
Let L be the length of the unloaded spring.
x1 = (0.225 - L) m
k1 = F1/x1 = 2.5/(0.225 - L)
0.225k1 - k1L = 2.5
L = (0.225k1 - 2.5)/k1
A vertical spring has a length of 0.225 m when a 0.25 kg mass hangs from it, and a length of 0.75 m when a 1.975 kg mass hangs from it.
Find the spring constant k in N/m.
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