A $2\mathrm{.}00-$kg object is attached to a spring and placed on a frictionless, horizontal surface. A horizontal force of $20\mathrm{.}0$ N is required to hold the object at rest when it is pulled $0\mathrm{.}200$ m from its equilibrium position $($the origin of the x axis$).$ The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. $($a$)$ Find the force constant of the spring. $(2$ marks$)($b$)$ Find the frequency of the oscillations. $(2$ marks$)($c$)$ Find the maximum speed of the object. $(2$ marks$)($d$)$ Find the maximum acceleration of the object. $(2$ marks$)($e$)$ Find the total energy of the oscillating system.