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32 You are helping to repair a roof by loading equipment into a bucket that workers hoist to the rooftop If the rope is guaranteed not to break as long as the tension does not exceed 450 N and you fill the bucket until it has a mass of 42 kg, what is the greatest acceleration that the workers can give the bucket as they pull it to the roof 33 Diego and Mika are trying to fix a tire on Diego s car, but they are having trouble getting the tire loose When they pull together, Mika with a force of 23 N and Diego with a force of 31 N, they just barely get the tire to budge What is the magnitude of the strength of the force between the tire and the wheel

Figure 4-16 The normal force on an object is not always equal to its weight In (a) the normal force is equal to the object s weight In (b) the normal force is less than the object s weight In (c) the normal force is greater than the object s weight

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Any time two objects are in contact, they each exert a force on each other Think about a box sitting on a table There is a downward force due to the gravitational attraction of Earth There also is an upward force that the table exerts on the box This force must exist, because the box is in equilibrium The normal force is the perpendicular contact force exerted by a surface on another object The normal force always is perpendicular to the plane of contact between two objects, but is it always equal to the weight of an object as in Figure 4-16a What if you tied a string to the box and pulled up on it a little bit, but not enough to move the box, as shown in Figure 4-16b When you apply Newton s second law to the box, you see that FN Fstring on box Fg ma 0, which rearranges to FN Fg Fstring on box You can see that in this case, the normal force exerted by the table on the box is less than the box s weight, Fg Similarly, if you pushed down on the box on the table as shown in Figure 4-16c, the normal force would be more than the box s weight Finding the normal force will be important in the next chapter, when you begin dealing with resistance

34 Force Hold a book motionless in your hand in the air Identify each force and its interaction pair on the book 35 Force Lower the book from problem 34 at increasing speed Do any of the forces or their interaction-pair partners change Explain 36 Tension A block hangs from the ceiling by a massless rope A second block is attached to the first block and hangs below it on another piece of massless rope If each of the two blocks has a mass of 50 kg, what is the tension in each rope

In Cocoa Touch on the iPhone, the Foundation framework is about the same, but the AppKit is gone, and UIKit has taken its place Many of the fundamentals of UIKit are similar to AppKit, with a few twists to make it work easily on a small, accelerometer-enabled, touch-screen device Each application has a single UIWindow where all drawing occurs, and that UIWindow contains a hierarchy of UIView subclasses (such as UIButton, UITextField, and the like) Although AppKit s only native user input methods are mouse and keyboard, UIKit also provides similar event-based input for handling multiple onscreen touches as well as movement of the device In some other ways, UIKit is sort of AppKit 20 Apple took the opportunity to toss out some baggage in the form of APIs and classes that may have seemed like a good idea a decade or two ago, but now seem unnecessary.

37 Tension If the bottom block in problem 36 has a mass of 30 kg and the tension in the top rope is 630 N, calculate the tension in the bottom rope and the mass of the top block 38 Normal Force Poloma hands a 13-kg box to 61-kg Stephanie, who stands on a platform What is the normal force exerted by the platform on Stephanie 39 Critical Thinking A curtain prevents two tug-ofwar teams from seeing each other One team ties its end of the rope to a tree If the other team pulls with a 500-N force, what is the tension Explain

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