Question

A 0.77 kg mass attached to an ideal spring oscillates horizontally with a period of 0.74 s and amplitude of 0.58 m. What is the spring constant? 

Answer 1

1) Write the expression for the period of oscillations:

$$T=2\pi\sqrt\dfrac mk.$$

2) Express the spring constant $k$ and calculate its value:

$$k=\dfrac{4\pi^2m}{T^2}=55.5\text{ N/m}.$$