Final answer:
The work done by the force on the object as it moves from x = 0 to x = 6.00 m is 9 Joules.
Step-by-step explanation:
The work done by a force on an object can be calculated using the formula:
Work = Force x Displacement x cos(theta)
Since the force is constant in time, we can calculate the work done by multiplying the force by the displacement in the x-direction:
Work = 3 N x (6 m - 3 m) = 9 Nm = 9 J
Therefore, the work done by the force on the object as it moves from x = 0 to x = 6.00 m is 9 Joules.