Question

How fast must a 10 kg object be traveling to have the SAME momentum as a 2kg object at 8 m/s?

Answer 1

Recall that the momentum is given by

$p=m\cdot v$

Where m is the mass and v is the velocity.

$p=2\cdot8=16\;\;\frac{kg\cdot m}{s}$

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.

$\begin{gathered} p=m\cdot v \\ 16=10\cdot v \\ v=\frac{16}{10} \\ v=1.6\;\frac{m}{s} \end{gathered}$

Therefore, the object must be traveling at 1.6 m/s to have the same momentum as the other object.