A block is connected by a light string over a frictionless pulley to a hanging mass

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

Problem

A 3.0 kg3.0\,\text{kg} block is connected by a light string over a frictionless pulley to a hanging mass mm. The block rests on an incline that makes an angle of 20∘20^{\circ} with the horizontal. The coefficient of kinetic friction between the block and the incline is 0.200.20. If the system is released from rest and is to move at constant speed, which value of mm is required? (Use g=9.8 m/s2g = 9.8\,\text{m/s}^2.) (a) 2.2 kg2.2\,\text{kg} (b) 1.0 kg1.0\,\text{kg} (c) 1.6 kg1.6\,\text{kg} (d) 2.8 kg2.8\,\text{kg}

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