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15 km from the Sun s center If the masses of the Moon, Earth, and the Sun are 73 1022 kg, 60 1024 kg, and 20 1030 kg, respectively, find the ratio of the gravitational forces exerted by Earth and the Sun on the Moon 108

100-kg wooden toy boat at a constant velocity across a smooth glass surface on Earth What force would be required to pull the same wooden toy boat across the same glass surface on the planet Jupiter

38 108 m away from Earth Earth s mass is 597 1024 kg a Calculate the gravitational force of attraction between Earth and the Moon b Find Earth s gravitational field at the Moon

720 103-N spacecraft travels away from Earth What is the weight of the spacecraft at the following distances from Earth s surface a 638 103 km b 128 104 km

ne of the most interesting recent developments on the Web is the trend of providing Application Programming Interfaces (APIs) to web sites, with which you can integrate content from other sites into your own Generally such APIs accept standard POST or GET requests as might be sent from an HTML form or hyperlink, and then return data in the form of XML (Extensible Markup Language), JSON (JavaScript Object Notation), or other easy-to-process formats For example, both Google and Yahoo! provide a range of APIs for many of their web properties, such as Google Book Search and Charts or Yahoo! Search, Answers, and Stocks There are plug-ins for all of these in this chapter There are also plug-ins for handling Wikipedia entries, Flickr photo streams, and currency conversion from the European Central Bank However, although these plug-ins provide the functionality to process the information supplied by those companies, it s your responsibility to ensure you follow each service s rules and guidelines and have sufficient permission to reuse or republish data extracted from their sites

information from Table 7-1 on page 173, calculate the period of Earth s Moon if the orbital radius were twice the actual value of 39 108 m

The query here is a variation on the last query It demonstrates the use of some very popular shorthand in MDX

the following situations a Earth s mass is triple its actual value, but its radius remains the same b Earth s radius is tripled, but its mass remains the same c Both the mass and radius of Earth are doubled

300 m apart The gravitational force between them is 20 10 7 N a What is the mass of each satellite b What is the initial acceleration given to each satellite by gravitational force

gravitational field at a point where an 800-kg astronaut would experience a 250 percent reduction in weight

Their centers are 40 m apart, as shown in Figure 7-25 One sphere weighs 98 102 N The other sphere has a weight of 196 102 N What is the gravitational force between them

Google Charts is a great API that not too many people seem to know about yet With it you can create a huge variety of charts to display on your web site, incorporate in your documents, and so on However, it is quite complex and requires using a number of different command strings, which is where this plug-in comes in Using the plug-in, you only have to supply the data to be charted and (optionally) various widths, heights, colors, and other details The plug-in then interfaces with Google Charts and returns a ready-made image (as a GD object) containing the chart You can then display the image straightaway or save it to disk for future use Figure 10-1 shows a 3D pie chart created from seven items of data, representing types of cheese

of the space shuttle At this altitude, what is the size of the force of attraction between a student with a mass of 450 kg and Earth

40 m

98 102 N

-- 2 levels short hand select {[Product][Category][Category],[Product][Category]} on columns from [Adventure Works]

196 102 N

FIGURE 10-1

Figure 7-25

Figure 7-26, with a radius that is half the radius of the Moon s orbit Find the period of the satellite in units of the period of the Moon