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# Expression for Final Speed: Two Block Collision

APPH12-OR7O8F

Two blocks have masses of $M$ and $2M$ and collide on a frictionless horizontal counter. The motion of the blocks before the collision is shown in the above diagram.

If the blocks stick together after the collision, which one of the following is a correct expression for the speed of that moving two-block combination?

A

${ { v }_{ o } }/{ 3 }$

B

$2{ v }_{ o }$

C

${ { v }_{ o } }/{ 3M }$

D

$3{ v }_{ o }$