Can you please show me all the work, thank you.

total distance The image and one of the videos linked above show a 74.1 kilogram person bungee jumping from a bridge over a river. The bungee cord is securely fastened to them and they fall a distance of 8.96 meters before the bungee cord begins to stretch and slow them down until they eventually stop at the waterline down below the bridge. This rst portion of the fall is the length of the bungee cord which is denoted as "L" in the diagram and the stretch of the bungee cord is denoted as by in the diagram. In this scenario we will treat the bungee cord as a spring with a spring constant of 20.2 Newtons-per-meter. Our closed energy system for this scenario includes the person, bungee cord and the Earth. No external forces do work on our energy system in this scenario. In addition, we will approximate the bungee cord as perfectly elastic with no losses to thermal energy. 1.) What is the kinetic energy in our energy system at the instant the person steps off the platform ? 2.) What is the change in the gravitational potential energy of our system as the person falls the length of the bungee cord from the platform down to the point where the cord rst begins to stretch ? 3.) What is the kinetic energy in our energy system at the instant the person has fallen the length of the bungee cord but has not yet begun to stretch it ? 4.) What is the velocity of the person when they have fatten the length of the bungee cord but has not yet begun to stretch it? 5.) What is the bungee cord spring potential energy in our energy system at the instant the person has fallen \"L\" meters and rst begins to stretch it? 6.) What is the gravitational potential energy in our energy system at the instant the person is momentarily brought to rest at the waterline and the bungee cord is fully stretched ? 7.) What is the kinetic energy in our energy system at the instant the person is momentarily brought to rest at the waterline and the bungee cord spring is fuin stretched ? 8.) What is the stretch of the bungee cord spring at the instant the person is momentarily brought to rest at the waterline and the bungee cord is fully stretched ? 9.) What is the potential energy stored in the bungee cord spring at the instant the person is momentarily brought to rest at the waterline and the bungee cord is fully stretched ? 10.)What is the height of the person on the platform above the waterline before they stepped off ? 11.)What is the gravitationai potential energy present in our system before the person stepped off from their maximum height ? 12.)What is the total energy present in our system throughout this scenario