Problem 2 [20 points]: A block of mass my=m is released from rest in a smooth (frictionless) hemispherical bowl of radius R, from the R position shown in the figure. A second block of equal mass my=m is initially at rest at the bottom of the bowl. a) If the masses stick together when they collide (completely inelastically), how high above the bottom of the bowl will the masses go after colliding? Please be sure to explain all your reasoning (e.g. specifying which conservation law is used in each step) for full credit. b) Considering the two blocks as one system, calculate the ratio of the final energy after this completely inelastic collision to the initial energy before the collision. c) If instead the collision is elastic, do you expect the second mass my to rise to a height that is greater than, less than, or equal to the height found in part a)? Please explain your reasoning and calculate the height for full credit. d) If instead the collision is partially inelastic, and the second mass my rises to a height of R/2, do you expect the first mass m to rebound back up to a height that is greater than, less than, or equal to R/2? Please explain your reasoning for full credit