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Question Do planets in our solar system have circular orbits or do they travel in some other path Procedure 1 Use the data table to plot the orbit of Mercury using the scale 10 cm 1 AU Note that one astronomical unit, AU, is Earth s distance from the Sun 1 AU is equal to 15 108 km 2 Calculate the distance in cm for each distance measured in AU 3 Mark the center of your paper and draw a horizontal zero line and a vertical zero line going through it 4 Place your protractor on the horizontal line and center it on the center point Measure the degrees and place a mark 5 Place a ruler connecting the center and the angle measurement Mark the distance in centimeters for the corresponding angle You will need to place the protractor on the vertical zero line for certain angle measurements 6 Once you have marked all the data points, draw a line connecting them Analysis Describe the shape of Mercury s orbit Draw a line going through the Sun that represents the longest axis of the orbit, called the major axis Critical Thinking How does the orbit of Mercury compare to the orbit of comet Hale-Bopp, shown on page 170

( ) 4 61 122 172 209 239 266 295 330 350 d (AU) 035 031 032 038 043 046 047 044 040 037

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ince ancient times, the Sun, Moon, planets, and stars had been assumed to revolve around Earth Nicholas Copernicus, a Polish astronomer, noticed that the best available observations of the movements of planets and stars did not fully agree with the Earth-centered model The results of his many years of work were published in 1543, when Copernicus was on his deathbed His book showed that the motion of planets is much more easily understood by assuming that Earth and other planets revolve around the Sun Tycho Brahe was born a few years after the death of Copernicus As a boy of 14 in Denmark, Brahe observed an eclipse of the Sun on August 21, 1560, and vowed to become an astronomer Brahe studied astronomy as he traveled throughout Europe for five years He did not use telescopes Instead, he used huge instruments that he designed and built in his own shop on the Danish island of Hven He spent the next 20 years carefully recording the exact positions of the planets and stars Brahe concluded that the Sun and the Moon orbit Earth and that all other planets orbit the Sun

Relate Kepler s laws to the law of universal gravitation Calculate orbital speeds and periods Describe the importance of Cavendish s experiment

Figure 1 1-2 The kinetic energy after throwing or catching a ball is equal to the kinetic energy before plus the input work

Catching a ball What happens when you catch a ball Before hitting your hands or glove, the ball is moving, so it has kineticc energy In catching it, you exert a force on the ball in the direction opposite to its motion Therefore, you do negative work on it, causing it to stop Now that the ball is not moving, it has no kinetic energy This process and the bar graph that represents it are shown in Figure 11-2b Kinetic energy is always positive, so the initial kinetic energy of the ball is positive The work done on the ball is negative and the final kinetic energy is zero Again, the kinetic energy after the ball has stopped is equal to the sum of the initial kinetic energy plus the work done on the ball

Continuing going through the VillainTrackerAppDelegate s remaining outlets one by one, connecting each to the correct object in the window. You shouldn t encounter any surprises along the way; The only thing to watch out for is that when you re making a connection for an outlet whose type is represented more than once in the class declaration (for example, powersView and primaryMotivationView, both of which are pointers to an NSMatrix), make sure you click on the correct item in the contextual window after dragging. Figure 4 15 shows a view of Interface Builder running with the VillainTrackerAppDelegate selected, and displaying all its connections in the Connection Inspector.

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