Q3 Extra Credit: Blocks Sliding in a Bowl

 Name:
Date:
Block: ACP Introductory Physics | Mr. Kafka Q3 Extra Credit: Blocks Sliding in a Bowl This is a Quarter 3 extra credit assignment. This extra credit assignment may award you three points towards your quarter exam grade, which counts 30% towards your final quarter grade. Trust me, that’s a LOT of credit! Directions: ​
Answer the following question, showing and explaining all steps in your solution process. If your solution is incomplete, your solution will be returned to you with no credit assigned. However, you can submit your solution as many times before the end of the third quarter as you like until you receive credit. Please include your previous solution(s) with any updated submissions. This is an ​
individual​
extra credit problem. You are ​
NOT ​
allowed to collaborate with peers on this assignment. However, you may use me as much as a resource as you’d like. Please write up your solution on a separate sheet of paper. Problem. ​
You have two blocks arranged in a large hemispherical bowl as shown in the diagram labeled “initial situation.” The bowl is of radius 1 m and the upper block has a mass 2 kg , whereas the lower block has a mass of 1 kg . The interior of the hemispherical bowl is frictionless and both blocks begin stationary. When the upper block slides down the bowl, it hits the lower block and sticks to it. Both of the blocks then rise up on the other side of the bowl, as shown in the diagram labeled “final situation.” Your task is to determine how high they rise on the other side of the bowl (this is labeled with a y in the diagram). ​
Hint: ​
The solution requires that you use BOTH conservation of momentum AND conservation of energy.