At a grocery store, a spring scale (spring constant 450 N/m) hangs near the produce section. The spring hangs vertically with a .25 kg pan suspended from its lower end. Jenna drops a 2.2 kg bag of oranges from a height of 30.0 cm above the pan. The pan and oranges are oscillating in simple harmonic motion.
A) What is the velocity of the pan immediately after the oranges land on the pan? Assume a perfectly inelastic collision.
B) How far is the new equilibrium point of the pan (with oranges) below its position before the oranges were dropped on it?
C) What is the amplitude of the oscillations?
D) What is the frequency of the oscillations?