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Now we get into the somewhat hairier issue of string encodings. As we ve mentioned earlier, NSString provides functionality for reading a string from a file and making a guess at which string encoding it should use. This may be right most of the time, but sometimes it can be useful to see the contents of a string through a different set of goggles, so to speak. It may be enlightening, for instance, to see how a modern UTF8 document may appear if viewed in an archaic application on some other platform that doesn t have any concept of string encodings, and always uses the one and only string encoding available to it. We start off by defining the encodingNames method. This method will provide a list of encoding names to the popup button in our GUI, and will also serve as an internal lookup mechanism for mapping between encoding names and their code-level representation, the NSStringEncoding type. For keys, this dictionary uses the numeric value of each encoding wrapped in an NSString. You might think that it would make more sense, given the numeric nature of these values, to wrap them in NSNumber objects instead, and you d be right except for one small catch: if you re using an NSDictionary in a key-value observer context, such as Cocoa Bindings, you have to use strings as keys! Because we re using this dictionary to populate an object via Cocoa Bindings, that s what we re doing.

6 Five people are playing tug-of-war Anders and Alyson pull to the right with 45 N and 35 N, respectively Calid and Marisol pull to the left with 53 N and 38 N, respectively With what force and in what direction does Benito pull if the game is tied

9 Erika is on an elevator and presses the button to go down When the elevator first starts moving, it has an acceleration of 25 m/s2 downward Erika and the elevator have a combined mass of 1250 kg a Draw a free-body diagram for the elevator b What is the tension in the cable that provides the upward force on the elevator car

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10 Ngan has a weight of 3145 N on Mars and a weight of 8330 N on Earth a What is Ngan s mass on Mars b What is the acceleration due to gravity on Mars, gMars 11 Alex is on the wrestling team and has a mass of 853 kg Being a whiz at physics, he realizes that he is over the 8300-N cutoff for his weight class If he can convince the trainers to measure his weight in the elevator, what must be the acceleration of the elevator so that he just makes his weight class 12 During a space launch, an astronaut typically undergoes an acceleration of 3 gs, which means he experiences an acceleration that is three times that of gravity alone What would be the apparent weight of a 205-kg astronaut that experiences a 3-g liftoff 13 Alfonso and Sarah like to go sky diving together Alfonso has a mass of 88 kg, and Sarah has a mass of 66 kg While in free fall together, Alfonso pushes Sarah horizontally with a force of 123 N a What is Alfonso s horizontal acceleration b What is Sarah s horizontal acceleration

14 A 725-g bullet is fired from a gun The muzzle velocity of the bullet is 223 m/s Assume that the bullet accelerates at a constant rate along the barrel of the gun before it emerges with constant speed The barrel of the gun is 0203 m long What average force does the bullet exert on the gun 15 A 152-kg police battering ram exerts an average force of 125 N on a 100-kg door a What is the average acceleration of the door b What is the average acceleration of the battering ram 16 As a demonstration, a physics teacher attaches a 75-kg object to the ceiling by a nearly massless string This object then supports a 25-kg object below it by another piece of string Finally, another piece of string hangs off the bottom of the lower object to be pulled with ever increasing force until the string breaks somewhere The string will break when the tension reaches 156 N a Which length of string will break first b What is the maximum downward force the physics teacher can apply before the string breaks

17 A 100-kg object is held up by a string that will break when the tension exceeds 100 102 N At what upward acceleration will the string break

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