Solve the Problem $x = \sqrt { \frac { 2 W } { 85000 } }$

Multiple Choice

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 $\mathrm { cm }$ . How far will you stretch the spring if you exert 638 joules of work? Round your answer to three decimal places.

A) $0.015 \mathrm {~cm}$
B) $0.087 \mathrm {~cm}$
C) $0.130 \mathrm {~cm}$
D) $0.123 \mathrm {~cm}$