Two massive spheres of mass = 800 and = 2.5 are suspended by wires of negligible mass, which are attached to the ceiling as shown in the figure below. The smaller sphere is then raised from a height ℎ = 15 , in relation to its relaxing position, and released. When it reaches the lowest part of its trajectory, it collides with the largest sphere, which, in turn, is over a height . If the restitution coefficient of the system is = 0.65, determine the value of considering a central impact.

An  atom  (ours, not carroll's) consists of a positively charged  nucleus, surrounded by one or more negatively charged particles called  electrons. the positive charges equal the negative charges, so the atom has no overall charge; it is electrically neutral. most of an atom's mass is in its nucleus; the mass of an electron is only 1/1836 the mass of the lightest nucleus, that of hydrogen. although the nucleus is heavy, it is quite small compared with the overall size of an atom. the radius of a typical atom is around 0.1 to 0.25 nanometres (nm), whereas the radius of a nucleus is about 10-6  nm.  *  if an atom were enlarged to the size of the earth, its nucleus would be only 200 feet in diameter and could easily rest inside a small football stadium.read more on -