Block P of mass rests on a rough incline

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Block P of mass 4.0 kg4.0\,\text{kg} rests on a 30∘30^{\circ} rough incline. It is connected by a light string that passes over a frictionless pulley at the top of the incline to a vertically hanging block Q of mass 1.0 kg1.0\,\text{kg}. The coefficient of kinetic friction between block P and the incline is 0.200.20. The system is released from rest, and block P moves down the slope. Take g=9.8 m/s2g=9.8\,\text{m/s}^2. What is the magnitude of the acceleration of the system? (a) 1.96 m/s21.96\,\text{m/s}^2 (b) 0.60 m/s20.60\,\text{m/s}^2 (c) 3.3 m/s23.3\,\text{m/s}^2 (d) 0.39 m/s20.39\,\text{m/s}^2

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