Answer to Question #4191 in Mechanics | Relativity for Nantu
Consider a ball of mass m1 moving with a velocity u1 collides elastically with a ball of mass m2 at rest.Show that the maximum energy transfer takes place when m1=m2.
The Energy transfer equation is
W=E2 - E1=m (u12)/2 - 0 = m (u12)/2.
The Momentum conservation law
m1u1 = m2u2+m1 u1'.
Thus, when masses are equal, the second ball begins to move with the speed u2=u1 - u1' .