We have $m_1 = 50.0 \, g = 0.050 \, kg$, $L_1 = 12.0 \, cm = 0.120 \, m$, $m_2 = 100.0 \, g = 0.100 \, kg$, and $L_2 = 13.5 \, cm = 0.135 \, m$.
Let $L_0$ be the unstretched length of the spring and $k$ be the spring constant.
The force exerted by the spring is
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