## To determine the work done by a force, you can use the formula:

Work = Force x Displacement x cos(theta)

Here, "Force" refers to the magnitude of the force applied, "Displacement" refers to the distance the object is moved in the direction of the force, and "theta" refers to the angle between the force and the displacement.

In this case, the angle is given as 146 degrees. The cosine of 146 degrees is negative (-0.9135). Since the angle is obtuse, the cosine value is negative.

Since the question doesn't provide the magnitude of the force or the displacement, we cannot determine the work done exactly. However, we can determine the sign of the work done based on the given information.

If the angle between the force and the displacement is obtuse (between 90 and 180 degrees), the work done will be negative. This is because the force is acting in the opposite direction of the displacement.

Therefore, the correct answer is D) negative.