A particle of mass m moving at speed v_{0} collides with a particle of mass M which is originally at rest. The fractional momentum transfer f is the absolute value of the final momentum of M divided by the initial momentum of m. The fractional energy transfer is the absolute value of the final kinetic energy of M divided by the initial kinetic energy of m. If the collision is perfectly elastic, under what condition will the fractional energy transfer between the two objects be a maximum?
Answer Choices
A. m / M \ll 1
B. 0.5<m / M<1
C. m=M
D. 1<m / M<2
E. m / M \gg 1