Solve the Problem $T$ " Handle to the Free End of the Spring

Solve the problem.
-A simple exercise machine can be constructed by mounting a stiff spring securely to a wall and attaching a " $T$ " handle to the free end of the spring. The arms can be exercised simply by pulling the "T" handle towards the torso. For a particular spring, the stretch distance is related to the work exerted by the equation $x = \sqrt { \frac { 2 W } { 85000 } }$ , where $W$ is the work exerted in joules and $x$ is the stretch distance in cm. How far will you stretch the spring if you exert 606 joules of work? Round your answer to three decimal places.

A) $0.084 \mathrm {~cm}$
B) $0.127 \mathrm {~cm}$
C) $0.119 \mathrm {~cm}$
D) $0.014 \mathrm {~cm}$