Two objects of different masses falling freely at the same height near the surface of the moon would ______.

The only factor affecting velocity in a free fall is the acceleration due to gravity. 

The mass of the body has no impact on the acceleration caused by gravity. As a result, both objects experience the same acceleration caused by the gravity of the Moon. Therefore, regardless of their masses, they will always move at the same speeds. The two will not experience the same force as force is dependent on mass and the mass of the body is different here.