Two astronauts (each with mass 100 kg) are drifting together through space. they are connected to each other by a rope 5 m in length, and are moving in circles about a point halfway between them (i. e. their center of mass). each astronaut has a speed of 2 m/s. they then pull on the rope, shortening the distance between them to 1 m. you can simplify the system by treating the astronauts as particles, and assuming the rope has negligible mass. then solve the following; set up steps 3-7 separately for each part (you can use the same picture for all parts). a. what are the initial angular momentum and rotational energy of the system? b. what are the final angular momentum and rotational energy of the system? (hint: what is the new velocity of each c. how much work was done by the astronauts in shortening the rope?