Concept:Distinguish carefully between scalar quantities (mass, speed, kinetic energy) and vector quantities (velocity, momentum).
Solution:- Momentum is a vector: \( \vec{P} = m\vec{v} \). It depends on both mass and the direction of velocity.
- The prompt says they have the same speed (scalar), but does NOT guarantee they are moving in the same direction.
- If one moves North and the other South, their momentums are opposite, despite identical speeds and masses.
- Therefore, their momentums CAN be different.
Why other options are incorrect:Option A falsely assumes same speed = same direction. Option C is wrong because Kinetic Energy (\( \frac{1}{2}mv^2 \)) is a scalar dependent ONLY on speed and mass, so their K.E. must be exactly identical, never different.
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