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

question 623

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 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) \(0.014 \mathrm {~cm}\)

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Definitions:

Accurate Predictions

refers to forecasts or expectations that are precisely correct or very close to the actual outcomes or results.

Correlated Variables

Two variables that show a statistical relationship, where changes in one variable are associated with changes in the other.

Correlation Coefficient

A statistical measure that indicates the extent to which two variables change together.

Weak Relationship

Describes a connection or correlation between two variables or entities that shows minimal interdependence or association.