Problem 4 [50] Using the generated positions, calculate and print the total potential energy of the system An easily implemented (but not the most efficient) way of calculating this energy is: total2 i-1 where is the potential energy of the zth particle. This quantity is calculated by considering all of the potential interactions the ith particle has with every other particle BC where dij is the distance between the th and jth particle ald A, B, and C are constants Use A-1, B-2, C-10 Approach: Iterate over each body (i). Within that loop, iterate over every other body (j) Calculate the distance between i and J (dij). Use that distance to calculate j. Surn all those for the ith body to find -Sum all those to find 111 Note that a particle cannot interact with itself, so i should be skipped Problem 4 [50] Using the generated positions, calculate and print the total potential energy of the system An easily implemented (but not the most efficient) way of calculating this energy is: total2 i-1 where is the potential energy of the zth particle. This quantity is calculated by considering all of the potential interactions the ith particle has with every other particle BC where dij is the distance between the th and jth particle ald A, B, and C are constants Use A-1, B-2, C-10 Approach: Iterate over each body (i). Within that loop, iterate over every other body (j) Calculate the distance between i and J (dij). Use that distance to calculate j. Surn all those for the ith body to find -Sum all those to find 111 Note that a particle cannot interact with itself, so i should be skipped