A student hangs various masses from a spring and records the resulting distance

Question

A student hangs various masses from a spring and records the resulting distance the spring has stretched. She then uses her data to construct the graph shown in the figure, which plots the mass hung from the spring as a function of the distance the mass caused the spring to stretch beyond its unstretched length

A student hangs various masses from a spring and records the resulting distance the spring has stretched. She then uses her data to construct the graph shown in the figure, which plots the mass hung from the spring as a function of the distance the mass caused the spring to stretch beyond its unstretched length Does this spring obey Hooke's law? What is the force constant of the spring, in N/m? By how much will the spring have stretched if you hang a 2.20kg mass from it, assuming that it continues to obey Hooke's law?

Explanation / Answer

A) yes
B) K = F2-F1/(x2-x1) = (0.5-0)*9.8/(0.2-0) = 0.5*9.8/0.2 = 24.5 N/m
c)

x = F/k = m*g/k = 2.2*9.8/24.5 = 0.88 m = 88 cm

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