1. The gure below shows a block of mass m (Block 1) that is attached to one end of an ideal spring of force constant k and natural length L The block IS pushed so that it compresses the spring to 3/4 of its natural length and is then released from rest. Just as the spring has extended to its natural length L, the attached block collides with another block (also of mass m) at rest on the edge of the frictionless. table. When Block 1 collides with Block 2, half of its kinetic energy is lost to heat; the other half of Block 1's kinetic energy at impact is divided between Block 1 and Block 2. The collision sends Block 2 over the edge of the table, where it falls a vertical distance H, landing at a horizontal distance R from the edge. (a) (b) (C) (d) (e) What is the acceleration of Block 1 at the moment it's released from rest from its initial position? Write your answer in terms of k, L, and m. If V1 is the velocity of Block 1 just before impact, show that the velocity of Block 1 just after impact is %vi. Determine the amplitude of the oscillations of Block 1 after Block 2 has left the table. Write your answer in terms of L only. Determine the period of the oscillations of Block 1 after the collision, writing your answer in terms of To, the period of the oscillations that Block 1 would have had if it did not collide with Block 2. Find an expression for R in terms of H, k, L, m, and g