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Let the x-variable denote the position of the right end of the spring (Figure 825), with x = 0 the rest position The left end of the spring is pinned down Imagine that the spring is being stretched to the right We know that the force exerted by the spring has the form F ( x) = kx , with k a negative constant (since the spring will pull to the left) Also F ( 05) = 10 It follows that k = 20, so that F ( x) = 20x Now the work done in moving the spring from position x to position x + x will be about ( 20x) x (the sign is + since we will pull the spring to the right---against the pull of the spring) Thus the total work done in

Don t be intimidated by statements like this They are common in professionally written C# programs and are easy to understand if you break them down into their parts In words,

5:

this statement says add to sum the value of sum plus i, then increment i Thus, it is the same as this sequence of statements:

1/3 1/3

sum = sum + i; i++;

Often the variable that controls a for loop is needed only for the purposes of the loop and is not used elsewhere When this is the case, it is possible to declare the variable inside the initialization portion of the for For example, the following program computes both the summation and the factorial of the numbers 1 through 5 It declares its loop control variable i inside the for:

// Declare loop control variable inside the for using System; class ForVar { static void Main() { int sum = 0; int fact = 1; // Compute the factorial of the numbers 1 through 5 for(int i = 1; i <= 5; i++) { sum += i; // i is known throughout the loop fact *= i; } // But, i is not known here ConsoleWriteLine("Sum is " + sum); ConsoleWriteLine("Factorial is " + fact); } }

How about a graphic designer in an advertising agency The job requires that the designer come up with new ideas and clever approaches, work happily on tight deadlines, and socialize with clients Did you recognize the Optimist An Optimist is creative, social, and works well under pressure If you re writing an E-mail to remind the graphic designer to ll out his or her health bene t update form, you should use language targeting the Optimist and highlight the bene t of lling it out promptly and not having to think about it again How about a senior executive The job requires the ability to focus on the goal of raising shareholder value above all else, quick and con dent decision making, and problem solving Did you recognize the Producer A Producer is goal and bottom-line oriented, and is motivated by getting things done If you re trying to solicit money for a nonprofit organization from a Producer, for example, it makes sense to highlight the bottom-line bene t of the nonpro t group How about someone working alone in a laboratory evaluating slides of blood samples and recording the results in a ledger Did you recognize that a Data Collector is likely to love that job It s task and fact oriented, procedural, and rational Thus if you re writing a newsletter article trying to motivate a lab technician to adhere to a new safety policy, you d want to use words that speak directly to a Data Collector by focusing on the details of the new policy Take a look at Table 11 Do you see how the recommended words and phrases match each personality The words and phrases are intended to help you begin the process of targeting different people They are not intended to be a complete listing but rather to serve as a guide Not only will the words and phrases in Table 11 help you motivate people, they will also help you motivate groups This exibility is critical when your communication needs to reach multiple audience segments or a broad base where it s impossible to identify personality, or when you know all personality types will be represented members of your community, visitors to your website, or all employees, for example It s a very common dilemma that either you can t gure out a person s personality typeor there s a mixture and you are uncertain which type to target For example, let s say that your company is trying to encourage all employees to use their personal digital assistant (PDA) The company has provided training on using the new PDA; now you need to send an E-mail to all employees reminding them of the bene ts.