Solve the each part of given question:
Question: A spring with spring constant k = 40 N/m and unstretched length of L0 = 1.7 is attached to the ceiling. A block of mass m = 2.5 kg is hung gently on the end of the spring.
Part A: How far does the spring stretch?
Part B: Now the block is pulled down until the total amount the spring is stretched is twice the amount found in the above question. The block is then pushed upward with an initial speed vi = 2.9 m/sec. What is the maximum speed of the block?
Please show your results in detailed calculations.