Final answer:
To calculate the work done over a path, the force along that path is typically needed. Without this information, one must either use the relationship between work and potential energy or seek additional data for an accurate calculation.
Step-by-step explanation:
To calculate the work done without directly using force, one must consider the parameters given in the question. In the case of the cubic path y = (0.25 m-2)x3 between points A (0, 0) and B (2 m, 2 m), it is essential to know the force acting along this path or to utilize the relationship between work and potential energy if it applies.
Since the question originates from a physics context, work is generally calculated by the formula W = Fd cos θ, where W is the work done, F is the magnitude of the force, d is the displacement, and θ is the angle between the force and the displacement vector.
If the force is not specified, you may be working with a theoretical scenario where the work is derived from other quantities such as potential energy.
For example, in the context of gravitational potential energy, work is related to the change in potential energy of an object being moved in a gravitational field.
However, without the value of the force or a context that specifies the system's energy transformation, it is impossible to calculate the work done accurately.
Therefore, additional information or clarification on the problem is required to proceed.