Final answer:
The work done by a force of 6.07 N acting through a distance of 10.7 m in the direction of the force is 64.949 Joules.
Step-by-step explanation:
The work done by a force is calculated using the formula:
Work (W) = Force (F) × Distance (d) × cos(θ)
Where θ is the angle between the direction of force and the direction of motion. If the force is applied in the direction of motion, θ = 0, and the cosine term is equal to 1.
In this scenario, since the 6.07 N force is acting through a distance of 10.7 m in the direction of the force, the work done is:
W = 6.07 N × 10.7 m × cos(0°)
With cos(0°) = 1, the work done simplifies to:
W = 6.07 N × 10.7 m
W = 64.949 J
Thus, the work done by the force is 64.949 Joules.