Physics

Problem

A block of mass

2\,\text{kg}

is suspended from a rigid ceiling by two light springs connected in series. The first spring has a stiffness constant

k_{1} = 400\,\text{N/m}

. The system oscillates vertically with a time period of

1.0\,\text{s}

. Calculate the stiffness constant of the second spring (

k_{2}

). Take

\pi^{2} \approx 10