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It is true that the particles in the air around an object exert forces on it Air actually exerts a huge force, but in most cases, it exerts a balanced force on all sides, and therefore it has no net effect Can you think of any experiences that help to prove that air exerts a force When you stick a suction cup on a smooth wall or table, you remove air from the inside of it The suction cup is difficult to remove because of the net force of the air on the outside So far, you have neglected the force of air on an object moving through the air In actuality, when an object moves through any fluid, such as air or water, the fluid exerts a drag force on the moving object in the direction opposite to its motion A drag force is the force exerted by a fluid on the object moving through the fluid This force is dependent on the motion of the object, the properties of the object, and the properties of the fluid that the object is moving through For example, as the speed of the object increases, so does the magnitude of the drag force The size and shape of the object also affects the drag force The drag force is also affected by the properties of the fluid, such as its viscosity and temperature

An air-track glider passes through a photoelectric gate at an initial speed of 025 m/s As it passes through the gate, a constant force of 040 N is applied to the glider in the same direction as its motion The glider has a mass of 050 kg 1 What is the acceleration of the glider 2 It takes the glider 13 s to pass through a second gate What is the distance

other end of the string passes over a resistance-free pulley and is attached to a hanging mass, m How big is m

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If you drop a table-tennis ball, as in Figure 4-10, it has very little velocity at the start, and thus only a small drag force The downward force of gravity is much stronger than the upward drag force, so Fd v there is a downward acceleration As the ball s Fd velocity increases, so does the drag force Soon, the Fg drag force equals the force of gravity When this Fg happens, there is no net force, and so there is no acceleration The constant velocity that is reached when the drag force equals the force of gravity is called the terminal velocity When light objects with large surface areas are falling, the drag force has a substantial effect on their motion, and they quickly reach terminal velocity Heavier, more-compact objects are not affected as much by the drag force For example, the terminal velocity of a table-tennis ball in air is 9 m/s, that of a basketball is 20 m/s, and that of a baseball is 42 m/s Competitive skiers increase their terminal velocities by decreasing the drag force on them They hold their bodies in an egg shape and wear smooth clothing and streamlined helmets Sky divers can increase or decrease their terminal velocity by changing their body orientation and shape A horizontal, spread-eagle shape produces the slowest terminal velocity, about 60 m/s Because a parachute changes the shape of the sky diver when it opens, a sky diver becomes part of a very large object with a correspondingly large drag force and a terminal velocity of about 5 m/s

How about that! Of course, it s not completely identical. Even ignoring the change from square brackets to parentheses, there are lots of other syntax changes when declaring classes, methods, and so on, often stemming from Nu s origins as a Lisp-based language. However, in general there s a lot here that s immediately recognizable to an Objective-C developer. Apart from the language itself, Nu also includes a command-line shell (nush), a makelike tool (nuke), and more. These tools add up to a package that lets you fire up a shell, and do some ad-hoc scripting using the Cocoa classes you know and love. You can interact with live objects, and take an exploratory approach to the Cocoa frameworks. Head on over to http://programming.nu to download it and see more about this interesting crossover between Cocoa and Lisp.

Figure 4-10 The drag force on an object increases as its velocity increases When the drag force increases to the point that it equals the force of gravity, the object will no longer be accelerated

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