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

Recognize the use and syntax of Java and HTML comments.

Demonstrate the practical integration of Java applets within web pages.

Understand the semantics and functionality of URLs and how they relate to the web.

Familiarize with the creation and usage of Java applets and HTML pages through practical examples.

---

Definitions:

Marginal Revenue

The extra revenue generated by the sale of an additional unit of a product or service.

Competitive Industry

An industry structure with many firms competing against each other offering similar products or services, leading to lower prices and innovation.

Marginal Revenue

The additional income received from selling one more unit of a good or service; this is crucial for businesses in determining how many units to produce.

Average Revenue

The total revenue generated by a firm divided by the quantity of goods or services sold, indicating the average amount of money made per unit.