An unstretched spring is 11.0 cm long. When you hang an 590 g weight from it, it stretches to a length of 14.0 cm. what is the force constant in (N/m) of this spring? what is the total mass must you hang from the spring to stretch it to a total length of 18cm?

Answer 1

x = 14-11 = 3 cm = .03 m
F = m g = .59kg * 9.81 = 5.79 N
k = F/x = 5.79/.03 = 193 n/m

F = 193 (.18-.11) = 13.5 N
m = F/g = 13.5/9.81 = 1.38 kg = 1380 g