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spring with a spring constant of 35 N/m How far must the spring be compressed to store 15 J of energy

on the left is the original pulse moving toward the right The center pulse is a reflected pulse; the pulse on the right is a transmitted pulse Describe the rigidity of the boundaries at A, B, C, and D

his chapter covers a lot of different topics, ranging from using MySQL to working with PHP sessions, and from basic security measures to handling cookies Although at first sight these topics may not seem too closely related, they actually are because they re mostly to do with the processing, storage, and recall of data The three MySQL plug-ins provide a means of creating a database to hold various details about a user, the facility to add new users, and a plug-in to verify a user against their username and password; while the PHP session plug-ins provide the ability to hold a user s details across multiple instances of the same or different web pages or PHP programs Finally, the cookie plug-ins provide similar functionality to the session variables, except that you can set cookies to live for a shorter or longer time than the current session Along the way you ll also learn how to roll your own variations of these plug-ins, or how to extract the basic functionality from them to create totally new functions

the graph in Figure 14-21 a What is the spring constant of the spring b What is the energy stored in the spring when it is stretched to a length of 050 m

B Force (N)

120 80 40

Length (m)

There are a few things to mention One, you don t need the braces ({ }) delimiters when you use the colon (:) range operator Two, the colon operator (:) means you only have to type or drag the start point and end point and not the intermediate point You might have many intermediate members, so this method saves a lot of work

Figure 14-21

This plug-in saves a user s details in a MySQL database If the data table used doesn t already exist, it even creates it for you so there s minimum setup required So why MySQL Well, so far in this book I ve concentrated on using flat text files for storing data on the server This is a quite adequate solution for small applications and utilities, and it saves on having to configure and maintain a database such as MySQL Indeed, had I gone the database route (or if you ve been experimenting with the plug-ins), you d probably have dozens of databases residing within MySQL Instead, you should only have a collection of text files, which you can simply delete when you don t want them any more However, the time comes when the benefits of using a database begin to outweigh those of not doing so, and this plug-in, which allows thousands of users and several fields per user, is such a case Yes, I could have used a text file and split all records at line breaks, separating out the fields with a special token But the code required to support such a system would never run as fast or be as flexible as using a database Figure 9-1 shows this plug-in in action with a user being added twice to the database, the duplicate checking ensuring that the second insertion is ignored

signal is sent straight down from a ship at a point just below the water surface, and 180 s later, the reflected signal is detected How deep is the water

142 Wave Properties 75 Building Motion The Sears Tower in Chicago,

shown in Figure 14-22, sways back and forth in the wind with a frequency of about 012 Hz What is its period of vibration

a swim They estimate that 30 m separates a trough and an adjacent crest of each surface wave on the lake They count 12 crests that pass by the raft in 200 s Calculate how fast the waves are moving

FIGURE 9-1