What is the force which produces an acceleration of 1 m/`s^(2)` in a body of mass 1 kg?

Answer

To solve the problem of finding the force that produces an acceleration of 1 m/s² in a body of mass 1 kg, we can use Newton's second law of motion. Here are the steps to arrive at the solution:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Mass (m) = 1 kg
- Acceleration (a) = 1 m/s²

2. **Use Newton's Second Law of Motion**:
- According to Newton's second law, the force (F) acting on an object is given by the formula:
\[ F = m \times a \]
where:
- \( F \) is the force in Newtons (N),
- \( m \) is the mass in kilograms (kg),
- \( a \) is the acceleration in meters per second squared (m/s²).

3. **Substitute the Values into the Formula**:
- Plug in the values of mass and acceleration into the formula:
\[ F = 1 \, \text{kg} \times 1 \, \text{m/s}² \]

4. **Calculate the Force**:
- Perform the multiplication:
\[ F = 1 \, \text{N} \]

5. **Conclusion**:
- The force that produces an acceleration of 1 m/s² in a body of mass 1 kg is **1 Newton (N)**.

### Final Answer:
The force is **1 Newton (N)**.