two objects, one less massive than the other, collide elastically and bounce back after the collision. if the two originally had velocities that were equal in size but opposite in direction, then which one will be moving slower after the collision?

Using conservation of momentum and elastic collision, we can find out that one with more mass will have less velocity after collision.According to the conservation of the momentum, total momentum before collision and total momentum after collision are same. that means, Before collision (m1v1 + m2v2) = after collision (m1v1+m2v2)Now according to the question, v1 = vand v2 = -vso total momentum before collision is = m1v - m2v= (m1-m2)vnow, after collision, v1 = -v2so total momentum after collision is = m1v1+m2v2So momentum conservations,(m1-m2)v  =  m1v1+m2v2Since it is elastic collision so,v + v1 = -v + v2v1 = v2 - 2vputting this value in above equation,(m1-m2)v = m1v2 - 2m1v + m2v2(m1 -m2 +2m1)v = (m1+m2)v2v2 = (3m1-m2)v / (m1+m2)so clearly if m2 will increase then v2 will decrease. Hence the heavier object will have less velocity or heavier object will be slower.To learn more about, conservation of momentum, visit herehttps://brainly.com/question/3920210#SPJ4