Derive the unit of force using the second law of motion. A force of `5N` produces an acceleration of `8m s^(-2)` on a mass `m_(1)` and an acceleration of `24m s^(-2)` on a mass `m_(2)`. What acceleration would the same force provide if both the masses are tied together?

Explanation

To derive the unit of force using the second law of motion and solve the given problem, we can follow these steps:

### Step 1: Understand Newton's Second Law of Motion
Newton's Second Law states that the force (F) acting on an object is equal to the mass (m) of the object multiplied by the acceleration (a) produced. This can be expressed mathematically as:
\[ F = m \cdot a \]

### Step 2: Define the unit of force
To derive the unit of force, we can use the standard units of mass and acceleration. The SI unit of mass is kilograms (kg) and the SI unit of acceleration is meters per second squared (m/s²). Therefore, the unit of force can be derived as:
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