Answer
The period of the oscillations is $~~0.686~s$
Work Step by Step
We can find the period of the oscillations:
$T = 2\pi~\sqrt{\frac{m}{k}}$
$T = 2\pi~\sqrt{\frac{(14.0~N/9.8~m/s^2)}{120~N/m}}$
$T = 0.686~s$
The period of the oscillations is $~~0.686~s$