An object of mass m and speed vo strikes a rigid uniform rod of length l and mass mr that is hanging by a frictionless pivot from the ceiling. Immediately after striking the rod, the object continues forward but its speed decreases to vo/2. The moment of inertia of the rod about its center of mass is ML2/12 . You may express your answer in terms of m, mr, g and l. Answer all the following in terms of the given quantities and any physical constants.(Submit a file with a maximum size of 1 MB.)a. For what value of vo will the rod just touch the ceiling on its first swing?b. For what ratio of mr/m will the collision be elastic?

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 -