waec model questions vol1 2021 physics

Objective Question 6

Question 6 WAEC_MODEL_QUESTIONS_VOL1 • 2021
A 2.0‑kg block is placed at the top of a smooth 5.00‑m long incline that makes an angle of 30° with the horizontal. The block is released from rest and slides down, compressing a horizontal spring of spring constant 800 N m⁻¹ fixed at the foot of the incline. The spring is compressed by 0.10 m before the block comes to rest. The kinetic friction coefficient μ_k between the block and the incline is unknown. (a) Determine μ_k. (b) Find the average power delivered by the block to the spring during the compression phase.
Answer Options
A. μ_k = 0.45 (dimensionless); average power ≈ 1.20×10^2 W
B. μ_k = 0.60 (dimensionless); average power ≈ 1.50×10^2 W
Correct Answer C. μ_k = 0.53 (dimensionless); average power ≈ 1.34×10^2 W
D. μ_k = 0.38 (dimensionless); average power ≈ 1.05×10^2 W
Correct Answer
C

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