document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125437>Question 1125437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q: ligjt travel at the speed of 300,000,000 m/s.<BR>\n" );
document.write( "i)  Express this speed in standard form<BR>\n" );
document.write( "ii) Given that the mean distance from sun to Jupiter is 778.5 million kilometers, find the time taken in minutes and seconds, for light to travel from Sun to Jupiter.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741774 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the speed of light is 300,000,000 meters per second.\r<BR>\n" );
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document.write( "in scientific notation (also called standard form in england), this is equal to 3.0 * 10^8.\r<BR>\n" );
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document.write( "10^8 is equal to 100,000,000, therefore 3.0 * 10^8 is equal to 300,000,000.\r<BR>\n" );
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document.write( "the mean distance from the sun to jupiter is 778.5 million kilometers.\r<BR>\n" );
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document.write( "that would be 778.5 * 10^6 kilometers, in scientific notation.\r<BR>\n" );
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document.write( "rate * time = distance.\r<BR>\n" );
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document.write( "the rate of light is 3.0 * 10^8 kilometers per second.\r<BR>\n" );
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document.write( "the distance from the sun to jupiter is 778.5 * 10^6 kilometers.\r<BR>\n" );
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document.write( "the formula becomes 3.0 * 10^8 meters per second * time = 778.5 * 10^6 kilometers.\r<BR>\n" );
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document.write( "since the rate is in seconds, then time will be in seconds as well.\r<BR>\n" );
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document.write( "you need to translate the distance and speed into like measures.\r<BR>\n" );
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document.write( "you can either make them all kilometers or you can make them all meters.\r<BR>\n" );
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document.write( "i'll go with meters.\r<BR>\n" );
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document.write( "778.5 * 10^6 kilometers * 1000 = 778.5 * 10^6 * 10^3 = 778.5 * 10^9 meters.\r<BR>\n" );
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document.write( "the formula of rate * time = distance becomes:\r<BR>\n" );
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document.write( "3.0 * 10^8 * time = 778.5 * 10^9.\r<BR>\n" );
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document.write( "the speed is in meters per second and the distance is in meters and the time will be in seconds.\r<BR>\n" );
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document.write( "solve for time to get time = (778.5 * 10^9) / (3 * 10^8).\r<BR>\n" );
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document.write( "this can be shown as (778.5 / 3) * (10^9 / 10^8).\r<BR>\n" );
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document.write( "778.5 / 3 = 259.5<BR>\n" );
document.write( "10^9 / 10^8 = 10^(9-8) = 10^1 = 10\r<BR>\n" );
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document.write( "formula for time becomes time = 259.5 * 10 = 2595 seconds.\r<BR>\n" );
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document.write( "there are 60 seconds per minute, therefore 2595 seconds / 60 = 43.25 minutes.\r<BR>\n" );
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document.write( ".25 minutes * 60 = 15 seconds.\r<BR>\n" );
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document.write( "therefore, the time it takes for light to travel from the sun to jupiter is 43 minutes and 15 seconds, assuming the distance is as given.\r<BR>\n" );
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document.write( "you have to make sure your measures are consistent with each other.\r<BR>\n" );
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document.write( "if you failed to see that the speed of light was per meter while the distance was kilometers, then the answer would not have been accurate.\r<BR>\n" );
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document.write( "i initially fell into that trap before i recognized my error.\r<BR>\n" );
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document.write( "it's all too easy to do.\r<BR>\n" );
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document.write( "i confirmed through a web search that the time it takes light to go from the sun to jupiter is right around what was calculated here, so the answer appears to be good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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