Final answer:
The work done by the force of friction on the block on a rough inclined surface can be calculated using the formula: Work = μ x N x d x sin(θ), where μ is the coefficient of friction, N is the normal force, d is the distance, and θ is the angle of inclination.
Step-by-step explanation:
The work done by the force of friction on the block can be calculated using the formula:
Work = Force x Distance
In this case, the force of friction is equal to the product of the coefficient of friction (μ) and the normal force (N). The normal force can be calculated as the weight of the block multiplied by the cosine of the angle of the inclined surface. The distance traveled by the block can be determined using the formula for the displacement along an inclined surface:
Distance = d x sin(θ)
The final expression for the work done by the force of friction is:
Work = μ x N x d x sin(θ)