Verified answer

It will if:

*) The collision is head-on (not off-center)

*) The objects have identical masses

let u = initial velocity, v = final velocity

principle of conservation of energy:

momentum before collision = momentum after collision

m1u1 + m2u2 = m1v1 + m2v2

when their mass is identical, m1=m2=m

u1 + u2 = v1 + v2

u1 = 0 because it is stationary

u2 = v1 + v2 (v2 = 0)

u2 = v1

first object stationary, second object with velocity v collide with it, second object stop, first object moves with velocity v but opposite in direction.

So, the answer is YES. the stationary object move with the momentum of the object that collided with it (after collision), leaving the originally moving object stationary..

***if only their mass is same

if their mass is different, two object will either move together after collision or move apart. (situation: first object is stationary before collision)