To calculate the work done, we need to use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- \(\text{Force}\) is the force applied,
- \(\text{Distance}\) is the distance over which the force is applied,
- \(\theta\) is the angle between the force and the direction of motion.
In this case, the force of 98 Newtons is applied along the ramp, and since we are lifting the box against gravity, the angle \(\theta\) is 0 degrees (meaning the force applied and distance moved are in the same direction). Therefore, \(\cos(0) = 1\).
The distance over which the force is applied is the length of the ramp, which is 4 meters.
Now, plug in the values:
\[ \text{Work} = 98 , \text{N} \times 4 , \text{m} \times \cos(0) = 98 , \text{N} \times 4 , \text{m} \times 1 = 392 , \text{Joules} \]
The correct answer is:
392 Joules.