The momentum of the second object is 125 kg m/s
Explanation:
The momentum of an object is given by
[tex]p=mv[/tex]
where
m is the mass of the object
v is its velocity
For the object in this problem,
[tex]p = 250 kg m/s[/tex]
And its mass is m and its velocity is v.
The second object has a mass of [tex]m' = \frac{m}{2}[/tex] and same velocity v, so its momentum is
[tex]p'=m'v = (\frac{m}{2})v=\frac{1}{2}(mv)=\frac{1}{2}p[/tex]
So, the second object has a momentum that is half of the momentum of the first object, therefore it is:
[tex]p'=\frac{1}{2}(250)=125 kg m/s[/tex]
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