Objects 1 has half the mass of object 2 and the objects move toward each other and experience an inelastic collision. if both objects do not move after the collision compare the velocity of both objects before the collision.

The comparison of the velocity of both objects before the collision is

According to the law of conservation of momentum, the momentum of a body before collision is equal to the momentum after collision. Mathematically;

Since both objects do not move after the collision, the equation becomes:

Also if Objects 1 has half the mass of object 2, then

Substitute into the formula above:

The comparison of the velocity of both objects before the collision is

Learn more here: link

Explanation:

Given

Object 1 is  of mass

Object 2 has mass of

They undergone inelastic collision and do not move after collision i.e. the collision is perfectly inelastic

Final momentum of both the object is zero

suppose and are the velocities of object 1 and 2 respectively then

i.e. velocity of object 1 is twice the velocity of object 2 but opposite to the direction of object 2