Question Detail
Question
In Example 8(b), with kinetic friction (μ_k = 0.5), what is the maximum spring compression x_c?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Using W_nc = ΔKE + ΔPE. Work by friction = -μ_k mg x_c. So -μ_k mg x_c = (0 + ½kx_c²) - (½mv_A² + 0). This leads to a quadratic: ½kx_c² + μ_k mg x_c - ½mv_A² = 0. Solving yields x_c = 0.093 m.
Hint
Friction does negative work, so less energy is available to compress the spring.