Question Detail
Question
A body of mass 4 kg is on a plane inclined at 60 degrees to the horizontal. If the coefficient of kinetic friction between the body and the surface is 0.13, calculate the acceleration with which the body moves down the plane.
Correct Answer
Option D is the correct answer.
Detailed Explanation
a = g(sin θ - μ cos θ) = 9.8(sin 60° - 0.13 cos 60°) = 9.8(0.866 - 0.13×0.5) = 9.8(0.866 - 0.065) = 9.8 × 0.801 = 7.85 m/s² ≈ 8.01 m/s² if using g=9.81.
Hint
a = g(sin θ - μ cos θ).