A spring of negligible mass and force constant k = 430 N/m is hung vertically, and a 0.270 kg pan is suspended from its lower end. A butcher drops a 2.1 kg steak onto the pan from a height of 0.40 m. The steak makes a totally inelastic collision with the pan and sets the system into vertical SHM. What are:
a. the speed of the pan and steak immediately after the collision
b. the amplitude of the subsequent motion
c. the period of that motion