972 Two bodies of masses ma and my undergo a perfectly elastic collision that is central (head-on). Both are moving in opposite directions along the same straight line before collision with velocities VAl and VBI. (Call all v's +) (a) Find the velocity of each body after the collision, in terms of the masses and the velocities given. (b) For the special case in which B is at rest before collision, find the ratio kinetic energy of _ B_after _ collision K = in terms of (mA/mB). kinetic_energy _of _ A_before_collision (c) Let r stand for the ratio (mA/MB). Find the value of r that's makes K(r) a maximum. What does my have to be (in terms of mA) for the maximum transfer of kinetic energy in the collision? (Would you have guessed this without working it out?). Notice why much more energy is transferred when an electron collides with another electron than when an electron collides with an atom ("Interacts" would be a little more accurate than "collides.") Can you see what a graph of K(r) vs. r looks like