Physics

Problem

A light string passes over a frictionless pulley. One end is attached to a mass

m = 4\,\text{kg}

. The other end is connected to a spring of stiffness

k = 200\,\text{N/m}

, which is anchored to the floor. A second spring of stiffness

k = 200\,\text{N/m}

is inserted in the middle of the vertical string segment holding the mass. Calculate the total extension of the spring elements in equilibrium. Take

g = 10\,\text{m/s}^{2}