A $0\mathrm{.}3-$kg mass is oscillating at the end of a spring on a horizontal frictionless table. The

spring has a spring constant of $400$ N$/$m and can be both compressed and stretched. The

spring is originally stretched $0\mathrm{.}16$ m from its equilibrium position and then released.

a$.$ What are the period and frequency of oscillation of the mass and spring system?

b$.$ What is the speed of the mass when it passes the equilibrium position after it is

released?

c$.$ What are the values of the potential energy, kinetic energy, and the speed of the

mass when it is $0\mathrm{.}08$ m from the equilibrium position? Is the speed larger or

smaller than the speed you found in part $($b$)?$