Solve the Problem $\mathrm { d }$ , That a Spring Is Compressed from Its Natural, Uncompressed

question 185

Multiple Choice

Solve the problem.
-The number of centimeters, $\mathrm { d }$ , that a spring is compressed from its natural, uncompressed position is given by the formula $\mathrm { d } = \sqrt { \frac { 2 \mathrm {~W} } { \mathrm { k } } }$ , where $\mathrm { W }$ is the number of joules of work done to move the spring and $\mathrm { k }$ is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 3 centimeters if it has a spring constant of $0.2$ .

• A) \(\mathrm { W } = \frac { \mathrm { d } ^ { 2 } \mathrm { k } } { 2 } ; 0.9\) joules
• B) \(\mathrm { W } = \frac { \mathrm { d } ^ { 2 } \mathrm { k } ^ { 2 } } { 4 } ; 0.1\) joules
• C) \(W = \frac { 2 d ^ { 2 } } { k } ; 90\) joules
• D) \(\mathrm { W } = 2 \mathrm {~d} ^ { 2 } \mathrm { k } ; 3.6\) joules

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