In SI units, momentum $p$ is defined as $p=mv$. What is the SI unit of momentum?

• A. $N\cdot m$
• B. $kg\cdot \frac{s}{m}$
• C. $kg\cdot \frac{m^2}{s^2}$
• D. $kg\cdot \frac{m}{s}$

Answer: (D)

Verified step by step guidance

1. Recall the definition of momentum in physics: momentum \(p\) is given by the product of mass \(m\) and velocity \(v\), so \(p = m \times v\).
2. Identify the SI unit of mass \(m\), which is the kilogram (kg).
3. Identify the SI unit of velocity \(v\), which is meters per second (m/s).
4. Since momentum is mass times velocity, multiply their units: \(\text{kg} \times \frac{\text{m}}{\text{s}}\).
5. Conclude that the SI unit of momentum is kilogram meter per second, written as \(\text{kg} \cdot \frac{\text{m}}{\text{s}}\).