A95.00 kg man on ice skates catches a moving ball at 18 m/s. the man is initially at rest. the man and ball move together after the collision. the ball's mass is 0.14 kg. what is the final velocity?

We can use conservation of momentum of the ball-man system.

mv + mv = mv

the total momentum of the two objects before the collision is the same as the total momentum of the two objects after the collision

(95)(0) + (0.14)(18) = (95 + 0.14)Vfinal

0 + 2.52 = 95.14Vf

divide by 95.14 on both sides

Final velocity = 0.0265m/s in the direction the ball was initially travelling