1. (8 points) A block of mass m is released from rest at the top of a frictionless chute a height h above the ground, as shown in the diagram below. A block of mass 2m is at rest at the bottom of the chute, on the ground. The block of mass m collides with and sticks to the block of mass 2m. h 2m (a) Determine the speed of the block with mass m at the bottom of the chute, before it collides with the block of mass 2m. Show all steps of all work and express your final answer in terms of the given variables (m, h) and g. (b) Determine the blocks' combined speed after the collision. Express your answer in terms of the given variables (m, h) and g. (Hint: you will need to use your answer from (a) to fully solve this part of the problem). (c) If the surface of the chute was rough instead of frictionless, would momentum be conserved during the collision? Why or why not