What is the unit of force ?

Options

A. Newton
B. Pascal
C. Newton/metre
D. metre/second

Answer

### Step-by-Step Solution:

1. **Understanding Force**:
- Force is defined as the product of mass and acceleration. This relationship is given by Newton's second law of motion, which states that \( F = m \cdot a \), where \( F \) is the force, \( m \) is the mass of the object, and \( a \) is the acceleration.

2. **Identifying Units**:
- The SI unit of mass is kilograms (kg).
- The SI unit of acceleration is meters per second squared (m/s²).

3. **Calculating the Unit of Force**:
- To find the unit of force, we multiply the unit of mass by the unit of acceleration:
\[ \text{Unit of Force} = \text{Unit of Mass} \times \text{Unit of Acceleration} = \text{kg} \times \text{m/s}^2 \]
- This results in:
\[ \text{Unit of Force} = \text{kg} \cdot \text{m/s}^2 \]

4. **Naming the Unit**:
- The unit kg·m/s² is commonly referred to as a Newton (N). Therefore, we can conclude that:
\[ 1 \text{ Newton} = 1 \text{ kg} \cdot \text{m/s}^2 \]

5. **Final Answer**:
- The unit of force is Newton (N).