Work is calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- \(\text{Force}\) is the applied force,
- \(\text{Distance}\) is the distance moved,
- \(\theta\) is the angle between the force and the direction of motion.
Assuming the force is applied in the same direction as the movement of the box (which means \(\theta = 0\) degrees and \(\cos(0) = 1\)), the calculation simplifies to:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
Substituting the given values:
\[ \text{Work} = 10 , \text{N} \times 3 , \text{m} \] \[ \text{Work} = 30 , \text{J} \]
So, the amount of work done is 30 joules.