In the context of impulse and momentum, momentum is defined as $p=mv$. If an object's momentum changes, what quantity (or quantities) could have changed?

• A. Only the mass $m$ can change.
• B. Either the mass $m$, the velocity $v$, or both can change.
• C. Only the velocity $v$ can change.
• D. Neither $m$ nor $v$ can change; only time can change.

Answer: (B)

Verified step by step guidance

1. Recall the definition of momentum: \(p = m \times v\), where \(m\) is the mass and \(v\) is the velocity of the object.
2. Understand that momentum depends on both mass and velocity, so any change in momentum must come from a change in either mass, velocity, or both.
3. Consider that mass \(m\) can change if the object gains or loses mass (for example, a rocket burning fuel).
4. Consider that velocity \(v\) can change if the object speeds up, slows down, or changes direction.
5. Therefore, if an object's momentum changes, it means either the mass \(m\), the velocity \(v\), or both have changed.