By Hooke's law, the spring exerts a restoring force with magnitude F when compressed by a distance x according to
F = kx
where k is the spring constant. Solve for k :
k = F / x = (108.0 N) / (0.0191 m) = 5654.45 N/m
Now solve for F when x = 0.0440 m :
F = (5654.45 N/m) (0.0440 m) = 248.796 N ≈ 249 N
