To calculate the work done, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
In this scenario, the force is applied along the ramp, and we need to determine the distance over which the force is applied. The ramp has a length of 4 meters.
Here, the angle \(\theta\) is critical. Since the force is applied along the ramp, we consider the angle related to the horizontal component of the force and the ramp length. However, if the entire force applied is used to move the box up the ramp, we can simplify the calculation assuming all the force is effective in moving the box up the ramp.
Thus, substituting the known values:
- Force = 98 N
- Distance along the ramp = 4 m
We calculate the work done as follows:
\[ \text{Work} = \text{Force} \times \text{Distance} = 98 , \text{N} \times 4 , \text{m} = 392 , \text{J} \]
Therefore, the answer is:
392 Joules