Answer:
Both objects have the same magnitude of momentum.
Explanation:
If an object of mass [tex]m[/tex] is moving at a velocity of [tex]v[/tex], the momentum of that object would be [tex]m\, v[/tex].
The [tex]100\; {\rm g}[/tex] ([tex]0.1\; {\rm kg}[/tex]) object is moving at a speed of [tex]1\; {\rm m\cdot s^{-1}}[/tex]. The magnitude of the momentum of this object would be [tex]0.1\; {\rm kg} \times 1\; {\rm m\cdot s^{-1}} = 0.1\; {\rm kg \cdot m \cdot s^{-1}}[/tex].
Similarly, the momentum of the [tex]1\; {\rm g}[/tex] ([tex]10^{-3}\; {\rm kg}[/tex]) object moving at a speed of [tex]100\; {\rm m\cdot s^{-1}}[/tex] would be [tex]10^{-3}\; {\rm kg} \times 100\; {\rm m\cdot s^{-1}} = 0.1\; {\rm kg \cdot m \cdot s^{-1}}[/tex].
Hence, the magnitude of momentum is the same for the two objects.
