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12 A runner moving at a speed of 88 m/s rounds a bend with a radius of 25 m What is the centripetal acceleration of the runner, and what agent exerts force on the runner 13 A car racing on a flat track travels at 22 m/s around a curve with a 56-m radius Find the car s centripetal acceleration What minimum coefficient of static friction between the tires and road is necessary for the car to round the curve without slipping 14 An airplane traveling at 201 m/s makes a turn What is the smallest radius of the circular path (in km) that the pilot can make and keep the centripetal acceleration under 50 m/s2 15 A 45-kg merry-go-round worker stands on the ride s platform 63 m from the center If her speed as she goes around the circle is 41 m/s, what is the force of friction necessary to keep her from falling off the platform

We ll use these classes to create a simple application that pretends to be a sort of database application. The user will be able to edit and create some objects by using some simple GUI controls, but the results of the editing won t be saved in any way (that s where the pretending comes in). In later chapters, you ll learn how to use Core Data to save your objects to disk, but for now, we re going to focus on the GUI.

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If a car makes a sharp left turn, a passenger on the right side might be thrown against the right door Is there an outward force on the passenger Consider a similar situation If a car in which you are riding stops suddenly, you will be thrown forward into your safety belt Is there a forward force on you No, because according to Newton s first law, you will continue moving with the same velocity unless there is a net force acting on you The safety belt applies the force that accelerates you to a stop Figure 6-8 shows a car turning to the left as viewed from above A passenger in the car would continue to move straight ahead if it were not for the force of the door acting in the direction of the acceleration; that is, toward the center of the circle Thus, there is no outward force on the passenger The socalled centrifugal, or outward force, is a fictitious, nonexistent force Newton s laws are able to explain motion in both straight lines and circles

Figure 6-8 The passenger would move forward in a straight line if the car did not exert an inward force

16 Uniform Circular Motion What is the direction of the force that acts on the clothes in the spin cycle of a washing machine What exerts the force 17 Free-Body Diagram You are sitting in the backseat of a car going around a curve to the right Sketch motion and free-body diagrams to answer the following questions a What is the direction of your acceleration b What is the direction of the net force that is acting on you c What exerts this force 18 Centripetal Force If a 400-g stone is whirled horizontally on the end of a 060-m string at a speed of 22 m/s, what is the tension in the string

19 Centripetal Acceleration A newspaper article states that when turning a corner, a driver must be careful to balance the centripetal and centrifugal forces to keep from skidding Write a letter to the editor that critiques this article 20 Centripetal Force A bowling ball has a mass of 73 kg If you move it around a circle with a radius of 075 m at a speed of 25 m/s, what force would you have to exert on it 21 Critical Thinking Because of Earth s daily rotation, you always move with uniform circular motion What is the agent that supplies the force that accelerates you How does this motion affect your apparent weight

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with Core Data in your code. Figure 11 1 shows what the ColorMix application will look like when we re all done.

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