I. explain each reasoning in the ff case:

(a) If the momentum of a single point object is equal to zero, must the object's kinetic energy also be zero?

(b) If the momentum of a pair of point objects is equal to zero, must the kinetic energy of those objects also be zero? (c) If the kinetic energy of a pair of point objects is equal to zero, must the momentum of those objects also be zero?

2. Since for a particle the kinetic energy is given by K = mv2/2 and the momentum by P = mv, it is easy to show that K = p 2 /2m. How, then, is it possible to have an event during which the total momentum of the system is constant but the total kinetic energy changes?