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magine that a train is speeding down a railroad track at 80 km/h when suddenly the engineer sees a truck stalled at a railroad crossing ahead The engineer applies the brakes to try to stop the train before it crashes into the truck Because the brakes cause an acceleration in the direction opposite the train s velocity, the train will slow down Imagine that, in this case, the engineer is able to stop the train just before it crashes into the truck But what if instead of moving at 80 km/h the train had been moving at 100 km/h What would have to happen for the train to avoid hitting the truck The acceleration provided by the train s brakes would have to be greater because the engineer still has the same distance in which to stop the train Similarly, if the train was going 80 km/h but had been much closer to the truck when the engineer started to apply the brake, the acceleration also would need to be greater because the train would need to stop in less time

Define force Apply Newton s second law to solve problems Explain the meaning of Newton s first law

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What happened to make the train slow down A force is a push or pull exerted on an object Forces can cause objects to speed up, slow down, or change direction as they move When an engineer applies the brakes, the brakes exert a force on the wheels and cause the train to slow down Based on the definitions of velocity and acceleration, this can be restated as follows: a force exerted on an object causes that object s velocity to change; that is, a force causes an acceleration Consider a textbook resting on a table How can you cause it to move Two possibilites are that you can push on it or you can pull on it The push or pull is a force that you exert on the textbook If you push harder on an object, you have a greater effect on its motion The direction in which the force is exerted also matters if you push the book to the right, the book moves in a different direction from the direction it would move if you pushed it to the left The symbol F is a vector and represents the size and direction of a force, while F represents only the magnitude When considering how a force affects motion, it is important to identify the object of interest This object is called the system Everything around the object that exerts forces on it is called the external world In the case of the book in Figure 4-1, the book is the system Your hand and gravity are parts of the external world that can interact with the book by pushing or pulling on it and potentially causing its motion to change

Figure 4-1 The book is the system The table, the hand, and Earth s mass (through gravity) all exert forces on the book

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On the Ruby front, there are a couple of ways to bridge to Objective-C. For several years, a project called RubyCocoa has been available that works similarly to PyObjC in many ways. However, RubyCocoa seems to have stagnated, with most forward momentum having shifted to a newer project called MacRuby. This Apple-sponsored project aims to bring Ruby syntax to Cocoa in a whole different way. Instead of bridging between similar classes, MacRuby takes a different approach, basically jettisoning all the existing Ruby standard library classes, and using the Cocoa equivalents instead, often giving them new methods whose names match their equivalents in the Ruby world. This means that experienced Ruby developers who jump on a MacRuby project may find that lots of their favorite classes and methods are missing or subtly different. One interesting difference between MacRuby and both PyObjC and RubyCocoa is that MacRuby goes the extra mile to make method calls feel similar to the way they do in Objective-C, while still working within Ruby syntax. This works is by a smart use of Ruby s keyed arguments, using the name of the Ruby method being called, and the argument keys, to look for a matching Objective-C method. Returning to our previous example:

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