Three beetles stand on a grid. Two beetles have the same weight, W, and the third beetle weighs 2W. (a) The lighter beetles are located at (1.00, 0) and (0, 2.00), and the heavier beetle is at (3.00, 1.00). Find the coordinates of the center of gravity of the beetles. (b) If the heavy beetle moves to (1.00, 1.00), what is the new location of the center of gravity?