derive the dimensional equation of work done in MLT system of units

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In the MLT system of units (which stands for mass, length, and time), the dimensional equation for work done can be derived as follows:

Work done is defined as the force applied to an object multiplied by the distance over which the force is applied. The dimensional equation for force is [F] = MLT^-2, and the dimensional equation for distance is [d] = L. Therefore, the dimensional equation for work done is:

[W] = [F] * [d] = (MLT^-2) * L = ML^2T^-2

This means that work is expressed in units of mass times length squared per time squared in the MLT system. For example, in the International System of Units (SI), the unit of work is the joule (J), which is defined as the work done when a force of one newton (N) is applied to an object over a distance of one meter (m). In the MLT system, the unit of work would be something like kilograms times meters squared per seconds squared (kg*m^2/s^2).