Solve the Problem $d$ , That a Spring Is Compressed from Its Natural, Uncompressed

question 289

Multiple Choice

Solve the problem.
-The number of centimeters, $d$ , that a spring is compressed from its natural, uncompressed position is given by the formula $\mathrm { d } = \sqrt { \frac { 2 W } { k } }$ , where $W$ is the number of joules of work done to move the spring and $k$ is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 8 centimeters if it has a spring constant of $0.6$ .

• A) \(W = \frac { 2 \mathrm {~d} ^ { 2 } } { \mathrm { k } } ; 213.3\) joules
• B) \(W = \frac { \mathrm { d } ^ { 2 } \mathrm { k } } { 2 } ; 19.2\) joules
• C) \(W = \frac { \mathrm { d } ^ { 2 } \mathrm { k } ^ { 2 } } { 4 } ; 5.8\) joules
• D) \(W = 2 \mathrm {~d} ^ { 2 } \mathrm { k } ; 76.8\) joules

---

Definitions:

Ticker Symbol

A unique series of letters assigned to a publicly traded company or its securities for identification purposes on the stock market.

Stock's

A stock represents a share in the ownership of a company, reflecting a claim on the company's assets and earnings.

Exchange-Listed

A security or financial instrument that is authorized for trading on an official securities exchange.

Capital Gains Yield

The rise in price of an investment or asset, expressed as a percentage of the investment's purchase price.