1: Sheldon Cooper and his girlfriend Amy Farrah Fowler are playing a game of bouncing balls. They each have a ball with a mass of 2 kg. (neglect air friction below) (a) Sheldon releases his ball from a height of 1 meter above the floor. Each time the ball bounces it looses 5 Joules of energy due to the interaction withthe floor. Calculate the maximum height of the ball after two bounces. (b) After how many interactions with the floor, the ball will no longer bounce back up? (e)Amy is standing in a room with a different (more sticky) floor where the ball looses 7 Joules each time it bounces. She must release her ball from the same initial height of 1m. At what speed must Amy throw the ball up in order to achieve the same maximum height after two bounces as Sheldon?s ball did in part (a)