Question Detail
Question
In Example 7(c), how far does the crate slide on the horizontal floor after the ramp?
Correct Answer
Option B is the correct answer.
Detailed Explanation
The initial kinetic energy at the bottom of the ramp (from part b) is dissipated by friction on the flat surface: ½mv_i² = f_k x = μ_k mg x. Solving for x: x = v_i² / (2μ_k g) = (2.7)² / (2×0.15×9.8) = 7.29 / 2.94 ≈ 2.5 m.
Hint
The work done by friction equals the kinetic energy the crate had.