Question Detail
Question
In Example 9, what is the expression derived for the coefficient of kinetic friction μ_k?
Correct Answer
Option B is the correct answer.
Detailed Explanation
Applying the work-energy theorem for non-conservative forces to the system, the work done by friction (-μ_k m₁ g h) equals the change in mechanical energy (0 - m₂gh - ½kh²). Solving for μ_k yields μ_k = (m₂g + ½kh) / (m₁g).
Hint
The loss in mechanical energy (gravitational PE of m₂ and spring PE) is due to the work done by friction.