To calculate the work done on the box, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
where:
- Work is measured in Joules (J),
- Force is measured in Newtons (N),
- 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 is applied along the ramp, which means that the angle \(\theta\) is 0 degrees (assuming the force is parallel to the ramp). Therefore, \(\cos(0) = 1\).
The force applied is 98 N, and the distance over the ramp is 4 m.
\[ \text{Work} = 98 , \text{N} \times 4 , \text{m} \times \cos(0) = 98 , \text{N} \times 4 , \text{m} = 392 , \text{J} \]
So, the work done is 392 Joules.
The correct response is: 392 Joules