Advanced Newton's LawsHardQuestion 5445
Question
A body moves up an incline (angle θ) with deceleration a. The coefficient of kinetic friction μₖ is:
- A(a−g sinθ)/(g cosθ)Correct
- B(a+g sinθ)/(g cosθ)
- C(g sinθ − a)/(g cosθ)
- Dg cosθ/(a+g sinθ)
Correct answer
(a−g sinθ)/(g cosθ)
Explanation
Going up: net deceleration a = g sinθ + μₖg cosθ. So μₖ = (a−g sinθ)/(g cosθ).