To find the acceleration of the object, we can apply Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. This relationship is expressed with the formula:
\[ F = m \cdot a \]
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).
Given:
- \( F = 5 , \text{N} \)
- \( m = 0.5 , \text{kg} \)
We can rearrange the formula to solve for acceleration \( a \):
\[ a = \frac{F}{m} \]
Now substituting the values:
\[ a = \frac{5 , \text{N}}{0.5 , \text{kg}} = 10 , \text{m/s}^2 \]
Therefore, the acceleration of the 0.5 kg object when subjected to a 5 N force is \( 10 , \text{m/s}^2 \).