Two blocks of masses and are connected by a light

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

Problem

Two blocks of masses

6\,\text{kg}

and

4\,\text{kg}

are connected by a light, inextensible string that passes over a smooth, frictionless pulley. The

6\,\text{kg}

block hangs freely, while the

4\,\text{kg}

block rests on a horizontal table where the coefficient of kinetic friction is

0.25

. Take

g = 9.8\,\text{m s}^{-2}

. (i) Draw separate free-body diagrams for each block. (ii) Calculate the acceleration of the system. (iii) Find the tension in the string.