To find the acceleration of an object when a force is applied to it, you can use Newton's second law of motion, which states that:
\[ F = m \cdot a \]
Where:
- \( F \) is the force applied (in newtons),
- \( m \) is the mass of the object (in kilograms),
- \( a \) is the acceleration (in meters per second squared).
We can rearrange this formula to solve for acceleration:
\[ a = \frac{F}{m} \]
Given:
- \( F = 6.75 , \text{N} \)
- \( m = 32 , \text{kg} \)
Now, substitute the values into the formula:
\[ a = \frac{6.75 , \text{N}}{32 , \text{kg}} \]
Now calculating:
\[ a = 0.2109375 , \text{m/s}^2 \]
Rounding this to two decimal places gives:
\[ a \approx 0.21 , \text{m/s}^2 \]
Therefore, the correct response is:
0.21 m/s² (or 0.21 meters per second squared).