Question

Which has the most momentum?

Answer 1

Answer:

Both objects have the same magnitude of momentum.

Explanation:

If an object of mass $m$ is moving at a velocity of $v$, the momentum of that object would be $m\, v$.

The $100\; {\rm g}$ ($0.1\; {\rm kg}$) object is moving at a speed of $1\; {\rm m\cdot s^{-1}}$. The magnitude of the momentum of this object would be $0.1\; {\rm kg} \times 1\; {\rm m\cdot s^{-1}} = 0.1\; {\rm kg \cdot m \cdot s^{-1}}$.

Similarly, the momentum of the $1\; {\rm g}$ ($10^{-3}\; {\rm kg}$) object moving at a speed of $100\; {\rm m\cdot s^{-1}}$ would be $10^{-3}\; {\rm kg} \times 100\; {\rm m\cdot s^{-1}} = 0.1\; {\rm kg \cdot m \cdot s^{-1}}$.

Hence, the magnitude of momentum is the same for the two objects.