To calculate the work done, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) \]
Where:
- \( \text{Force} \) is the applied force (in newtons),
- \( \text{Distance} \) is the distance over which the force is applied (in meters),
- \( \theta \) is the angle between the force and the direction of motion (in degrees or radians).
In this case, the force is applied along the ramp. Assuming that the force is parallel to the direction of movement (which is often the case when dealing with problems like this), we can say that \( \theta = 0^\circ \) (and \( \cos(0) = 1 \)).
Given:
- Force (F) = 98 N
- Distance (d) = 4 m
- \( \theta = 0^\circ \) (force is parallel to the ramp),
Now we can calculate the work done:
\[ \text{Work} = 98 , \text{N} \times 4 , \text{m} \times \cos(0^\circ) \]
\[ \text{Work} = 98 , \text{N} \times 4 , \text{m} \times 1 \]
\[ \text{Work} = 392 , \text{Joules} \]
Thus, the work done is 392 Joules.