To calculate the work done by the force, we can use the formula for work:
\[ \text{Work} (W) = \text{Force} (F) \times \text{Distance} (d) \times \cos(\theta) \]
where:
- \( W \) is the work done,
- \( F \) is the force applied,
- \( d \) is the distance over which the force is applied,
- \( \theta \) is the angle between the force and the direction of motion.
In this case, we have:
- \( F = 10 , \text{N} \) (the horizontal force applied),
- \( d = 20 , \text{m} \) (the distance over which the force is applied),
- Since the force is in the same direction as the motion, \( \theta = 0^\circ \).
Now, we can plug in the values:
\[ \cos(0^\circ) = 1 \] \[ W = 10 , \text{N} \times 20 , \text{m} \times 1 \] \[ W = 200 , \text{J} \]
Therefore, the work done by the force is 200 Joules.