Physics

To solve this problem, we will use the principle of conservation of momentum. Since the two objects collide inelastically and stick together, the total momentum before the collision is equal to the total momentum after the collision.

 

The formula for momentum conservation is:

 

Where:

(mass of the first object)

(velocity of the first object)

(mass of the second object)

(velocity of the second object, negative because it is moving in the opposite direction)

is the final velocity of the combined mass after the collision.

 

Now, substitute the known values into the equation:

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