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a distance h above the floor The coefficient of friction is 035 The box is 050 m high and 025 m wide Find the force that just tips the box

from a horizontal, pivoted pole, as shown in Figure 8-30 The pole is 210 m long and weighs 175 N The banner, which weighs 105 N, is suspended 180 m from the pivot point or axis of rotation What is the tension in the cable supporting the pole

the following objects up a flight of stairs: a large mirror, a dresser, and a television Evelyn is at the front end, and Gerald is at the bottom end Assume that both Evelyn and Gerald exert only upward forces a Draw a free-body diagram showing Gerald and Evelyn exerting the same force on the mirror b Draw a free-body diagram showing Gerald exerting more force on the bottom of the dresser

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Obviously, a user interface isn t much use if you can t get data in and out of it or change its appearance from code. In Cocoa, we use things called actions and outlets to interact with the user interfaces we design in Interface Builder. Actions are methods we write that can be executed directly as a result of user interaction, such as at the click of a button. Outlets are pointers to objects in our nib file. Outlets allow us to access objects in the nib from our code. Actions and outlets are typically contained in your controller classes (although they are sometimes used elsewhere).

c Where would the center of mass of the television have to be so that Gerald carries all the weight

250

a planet, it will be torn apart by tidal forces That is, the difference in the gravitational force on the part of the satellite nearest the planet and the part farthest from the planet is stronger than the forces holding the satellite together Do research on the Roche limit and determine how close the Moon would have to orbit Earth to be at the Roche limit

Remaining Nuclei as a Function of Time 10 3/4 1/2 1/4 0 1 2 3 4 5

Table 30-2

Half-Lives of Selected Isotopes Element Hydrogen Carbon Cobalt Iodine Lead Polonium Polonium Uranium Uranium Plutonium Plutonium Isotope

Outlets are Objective-C instance variables that are declared using a special keyword: IBOutlet. An outlet is really nothing more than an object pointer that can be linked to an object in your user interface. So, for example, your controller class might declare an outlet to an editable text field like this:

Half-Life 123 years 5730 years 30 years 807 days 106 hours 07 seconds 138 days 71 108 years 451 109 years

The half-lives of selected isotopes are shown in Table 30-2 If you know the original amount of a radioactive substance and its half-life, you can calculate the amount remaining after a given number of half-lives Half-Life remaining original

1 t 2

The amount of a radioactive isotope remaining in a sample equals the original amount times 1 to the t, where t is the 2 number of half-lives that have passed

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@property IBOutlet NSTextField *nameField;

Half-lives of radioactive isotopes are used to date objects The age of a sample of organic material can be found by measur285 years ing the amount of carbon-14 remaining , 379 105 years The age of Earth was calculated based on the decay of uranium into lead The decay rate, or number of decays per second, of a radioactive substance is called its activity Activity is proportional to the number of radioactive atoms present Therefore, the activity of a particular sample also is reduced by one-half in one half-life Consider 131 I, with a 53 half-life of 807 days If the activity of a certain sample of iodine-131 is 8 105 decays/s, then 807 days later, its activity will be 4 105 decays/s After another 807 days, its activity will be 2 105 decays/s The activity of a sample also is related to its half-life The shorter the half-life, the higher the activity Consequently, if you know the activity of a substance and the amount of that substance, you can determine its half-life The SI unit for decays per second is a Becquerel (Bq)

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