document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190778>Question 190778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem:\r<BR>\n" );
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document.write( "A 430-g soccer ball lying on the ground is kicked with a force of 800 N. If the kick lasts 0.01s, the ball flies off with a speed of\r<BR>\n" );
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document.write( "a. 0.0186 m/s<BR>\n" );
document.write( "b. 0.182 m/s<BR>\n" );
document.write( "c. 1.90 m/s<BR>\n" );
document.write( "d. 18.6 m/s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143263 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: 430 g = 0.430 kg (the standard mass unit is a kilogram)\r<BR>\n" );
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document.write( "First, recall that Newton's Second Law is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=ma ALIGN=MIDDLE  ALT=\"F=ma\"   DISABLED_style= \"max-width:90%; height:auto;\" > where \"F\" is the force applied to the object, \"m\" is the mass of the object, and \"a\" is the acceleration that the the object undergoes.\r<BR>\n" );
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document.write( "Since \"A 430-g soccer ball lying on the ground is kicked with a force of 800 N\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=0.430 ALIGN=MIDDLE  ALT=\"m=0.430\"   DISABLED_style= \"max-width:90%; height:auto;\" > (see note above) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=800 ALIGN=MIDDLE  ALT=\"F=800\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the equation then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=800=0.430a ALIGN=MIDDLE  ALT=\"800=0.430a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solving for \"a\" gets us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=800%2F0.430=1860.4651 ALIGN=MIDDLE  ALT=\"a=800%2F0.430=1860.4651\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the acceleration is roughly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1860.4651 ALIGN=MIDDLE  ALT=\"a=1860.4651\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters per second squared.\r<BR>\n" );
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document.write( "Now recall that one of the many kinematics equations is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=v%5B0%5D%2Bat ALIGN=MIDDLE  ALT=\"v=v%5B0%5D%2Bat\"   DISABLED_style= \"max-width:90%; height:auto;\" > where \"v\" is the final velocity, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D ALIGN=MIDDLE  ALT=\"v%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the initial velocity, \"a\" is the acceleration, and \"t\" is the time the force is applied\r<BR>\n" );
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document.write( "So because the initial velocity is 0, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D=0 ALIGN=MIDDLE  ALT=\"v%5B0%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Since \"the kick lasts 0.01s\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.01 ALIGN=MIDDLE  ALT=\"t=0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=v%5B0%5D%2Bat ALIGN=MIDDLE  ALT=\"v=v%5B0%5D%2Bat\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given kinematics equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=0%2B1860.4651%280.01%29 ALIGN=MIDDLE  ALT=\"v=0%2B1860.4651%280.01%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D=0 ALIGN=MIDDLE  ALT=\"v%5B0%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1860.4651 ALIGN=MIDDLE  ALT=\"a=1860.4651\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.01 ALIGN=MIDDLE  ALT=\"t=0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=1860.4651%280.01%29 ALIGN=MIDDLE  ALT=\"v=1860.4651%280.01%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=18.604651 ALIGN=MIDDLE  ALT=\"v=18.604651\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=18.6 ALIGN=MIDDLE  ALT=\"v=18.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Round to the nearest tenth\r<BR>\n" );
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document.write( "So the ball flies off at a speed of about 18.6 m/s\r<BR>\n" );
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document.write( " </SPAN>\n" );
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