question_answer

                                      A light body and a heavy body have the same kinetic energy. Which one will have the greater momentum?            

Answer:

                Kinetic energy, \[K=\frac{1}{2}m{{\upsilon }^{2}}=\frac{{{(m\upsilon )}^{2}}}{2m}=\frac{{{p}^{2}}}{2m}\] or            \[p=\sqrt{2mK}\]             i.e., \[p\propto \sqrt{m}\] Thus the heavier body has a greater momentum than the lighter one.