Block of mass lies on a rough horizontal table

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Block AA of mass 4 kg4\,\text{kg} lies on a rough horizontal table. The coefficient of kinetic friction between the block and the table is 0.250.25. It is joined by a light, inextensible string passing over a smooth pulley to block BB of mass 3 kg3\,\text{kg}, which hangs freely. (a) Draw the free-body diagram for each block just after release. (b) Calculate the magnitude and direction of the acceleration of the system. (c) Find the tension in the string. (d) Compute the work done by the tension on block AA during the first 3.0 s3.0\,\text{s} of motion starting from rest.

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