Their final combined speed is 5 m/s
Explanation:
We can solve this problem by using the law of conservation of momentum. In fact, in absence of external forces (no friction), the total momentum of the system person+object must be conserved before and after the collision. Therefore we can write
where:
is the mass of the person
is the initial velocity of the person
is the mass of the object
is the initial velocity of the object
is the final combined velocity of the person+object
Re-arranging the equation and substituting the values, we find the final speed:
So, their final speed is 5 m/s.
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