To find the acceleration of the box, we can use Newton's second law of motion, which states:
\[ F = ma \]
where:
- \( F \) is the net force acting on the object,
- \( m \) is the mass of the object,
- \( a \) is the acceleration of the object.
In this case:
- The force (\( F \)) applied to the box is 100 N (eastward).
- The mass (\( m \)) of the box is 5 kg.
We can rearrange the equation to solve for acceleration (\( a \)):
\[ a = \frac{F}{m} \]
Substituting the known values:
\[ a = \frac{100 , \text{N}}{5 , \text{kg}} = 20 , \text{m/s}^2 \]
Therefore, the acceleration of the box is \( 20 , \text{m/s}^2 \) eastward.
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