Their final velocity is 3.6 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum. In fact, in absence of external forces, the total momentum of the system (Jose+Jeff) must be conserved before and after the collision. Therefore we can write:
where:
is the mass of Jose
is the initial velocity of Jose
is the mass of Jeff
is the initial velocity of Jeff, which is standing
is the final combined velocity
Re-arranging the equation and solving for v, we find their final velocity:
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