Recall that the momentum is given by
![p=m\cdot v](https://img.qammunity.org/2023/formulas/physics/college/brxf8xclaund3mdzlc40kj6km8v2wo6d0c.png)
Where m is the mass and v is the velocity.
![p=2\cdot8=16\;\;(kg\cdot m)/(s)](https://img.qammunity.org/2023/formulas/physics/college/ybsq9sm8lxqo7b4qsddds73j1vtgnwnzqt.png)
So, the momentum of the object is 16 kg m/s.
Now, we need to equate this momentum to find the velocity of the other object.
![\begin{gathered} p=m\cdot v \\ 16=10\cdot v \\ v=(16)/(10) \\ v=1.6\;(m)/(s) \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/ora461g3cv5by11r4stefven3pscetk55p.png)
Therefore, the object must be traveling at 1.6 m/s to have the same momentum as the other object.