$1.$ A $1\mathrm{.}1-$m$-$long spring with a spring constant of $62$ N$/$m is hanging from the ceiling. It is initially in its equilibrium position. A $0\mathrm{.}82-$kg mass is attached to the end of the spring and released. The mass bounces up and down as it is hanging from the spring. What is the period of this oscillation? Give your answer in seconds

$2.$ Find the period of the simple harmonic motion of a $12-$kg mass connected to a $10-$m$-$long spring with a spring constant of $79$ N$/$m$.$ Assume that the mass is sliding horizontally on a frictionless surface in a room on the surface of the earth. Give your answer in seconds