kg`ms^(-1)` is the SI unit of

Options

A. impulse
B. force
C. angular velocity
D. None of these

Answer

To solve the question regarding the SI unit of kg·m/s, we will analyze each option provided and determine which physical quantity corresponds to this unit.

### Step-by-Step Solution:

1. **Understanding the Given Unit**:
The unit in question is kg·m/s. This can be interpreted as kilograms multiplied by meters per second.

2. **Analyzing Option 1: Impulse**:
- Impulse is defined as the product of force and time.
- The formula for impulse (J) is given by:
\[ J = F \cdot t \]
- The unit of force (F) is Newton (N), which is equivalent to kg·m/s². Therefore, the unit of impulse can be derived as:
\[ J = (kg \cdot m/s^2) \cdot s = kg \cdot m/s \]
- This matches the given unit (kg·m/s).

3. **Analyzing Option 2: Force**:
- The unit of force is Newton (N), which is defined as:
\[ F = m \cdot a \]
- Here, mass (m) is in kilograms (kg) and acceleration (a) is in meters per second squared (m/s²). Thus, the unit of force is:
\[ N = kg \cdot m/s^2 \]
- This does not match the given unit of kg·m/s.

4. **Analyzing Option 3: Angular Velocity**:
- Angular velocity (ω) is defined as the rate of change of angular displacement:
\[ ω = \frac{d\theta}{dt} \]
- The unit of angular displacement (θ) is radians (rad), and time (t) is in seconds (s). Therefore, the unit of angular velocity is:
\[ ω = rad/s \]
- This also does not match the given unit of kg·m/s.

5. **Conclusion**:
- Since the only option that corresponds to the unit kg·m/s is impulse, we conclude that the answer is:
\[ \text{Option 1: Impulse} \]

### Final Answer:
The SI unit of kg·m/s is **Impulse**.