Among the safety features on elevator cages are spring$-$loaded brake pads which grip the guide rail if the elevator cable should break. Suppose that an elevator cage of $2100$ kg has two such pads, arranged to press against opposite sides of the guide rail, each with a force of $9\mathrm{.}00104$ N$.$ The friction coefficient for the brake pads sliding on the guide rail is $0\mathrm{.}15.$ Assume that the elevator cage is falling freely with an initial speed of $10\mathrm{.}3$ m$/$s when the brake pads come into action.$($a$)$ How long will the elevator cage take to stop? Incorrect: Your answer is incorrect. s$($b$)$ How far will it travel? Correct: Your answer is correct. m$($c$)$ How much energy is dissipated by friction?