5. Work and Energy: An elastic ball of radius r can be crudely approximated by a set of6 equally spaced points, connected to their nearest neighbors by identical springs with spring constant k. arranged to form an octahedron. Consider squishing the Whom its top, splaying the sides outward to a width w. a. Solve for the new height ofthe W after being squished. in terms of its width w and rest radius r. Show your work. it: By what percentage will the diameter have increased when the Wis completely squished at? Show your work. %Increose = Show that the elastic potential energy stored in the Why squishing it from its top is given by the gsLaiou k U: = W (W4 6rw3 + 221'2w2 20r3w + 12!\") . As the ball has mass, it will weigh down on itself and squish out just sitting on a table. Explain how you could solve for how much the ball squishes in this case. no not actually do this calculation it's quite difcult. (Hint: look at the gravitational potential before and after squishing}