Verified answer

From Hooke's Law: F = kx

The force on the spring is the weight of the object, 13.2*9.8 = 129 N

x = 5.93 cm =0.0593 m

129 = (0.0593)x

x = 2181 N/m

Spring constant (k) is normally measured in N/m so you need to convert the mass to force.

So, k = 13.2 x 9.81 / (5.93/100) = 2184 N/m

The 13.2 kg mass produces a force F= m*g on the spring

F= (13.2 kg)(9.8 m/sec^2) = 129.4 Newton

The spring constant k is found from

F = k*(5.93 cm)

k = 129.4 N/5.93 cm = 21.8 N/cm

13.2/5.93 = 2.226