Question Detail
Question
A 3-kg block is pulled up a frictionless inclined plane by a 30 N force parallel to the incline. If the plane is inclined at 35° to the horizontal, calculate the work done in Joules by the 30 N force as the block moves a distance of 3m up the incline. (acceleration due to gravity, g = 10 ms⁻²)
Correct Answer
Option C is the correct answer.
Detailed Explanation
Work done by a constant force is given by W = F × d × cos θ. Since the force is parallel to the incline, θ = 0°, so cos 0° = 1. Therefore, W = 30 N × 3 m = 90 J.
Hint
Work done by a force parallel to displacement is simply force × distance.