A $30\mathrm{.}0$ kg

mass is traveling to the right with a speed of $2\mathrm{.}00$ m$/$s

on a smooth horizontal surface when it collides with and sticks to a second $30\mathrm{.}0$ kg

mass that is initially at rest but is attached to one end of a light, horizontal spring with force constant $160\mathrm{.}0$ N$/$m

$.$ The other end of the spring is fixed to a wall to the right of the second mass.

Part A

Find the frequency of the subsequent oscillations.

A$=..$

Part B

Find the amplitude of the subsequent oscillations.

T$=..$

Part C

Find the period of the subsequent oscillations.

T$=..$

Part D

How long does it take the system to return the first time to the position it had immediately after the collision?

t$=..$