document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=791452>Question 791452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An air puck of mass 0.23 kg is tied to a cord and allowed to revolve in a circle of radius 1.1 m on a frictionless table. The other end of the cord passes through a hole in the center of the table and is attached to a mass 1.1 kg. The suspended mass is in equilibrium while the puck on the table revolves. What is the speed of the puck in meters per second? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479623 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In physics class problems cords have no mass, and there would be no friction of the cord at the hole either.<BR>\n" );
document.write( "The centripetal acceleration of the air puck, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bc%5D ALIGN=MIDDLE  ALT=\"a%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22m+%2F%22 ALIGN=MIDDLE  ALT=\"%22m+%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bc%5D=v%5E2%2Fr ALIGN=MIDDLE  ALT=\"a%5Bc%5D=v%5E2%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v ALIGN=MIDDLE  ALT=\"v\"   DISABLED_style= \"max-width:90%; height:auto;\" >= linear velocity of the puck, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >= radius of the trajectory of the puck<BR>\n" );
document.write( "The centripetal force, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bc%5D ALIGN=MIDDLE  ALT=\"F%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, that keeps the air puck in that steady circular motion is the mass of the puck times the centripetal acceleration:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bc%5D=%280.23kg%29%28v%5E2%2F%221.1+m%22%29 ALIGN=MIDDLE  ALT=\"F%5Bc%5D=%280.23kg%29%28v%5E2%2F%221.1+m%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That centripetal force is the weight of the 1.1kg mass suspended from the end of the cord, which is equal to that mass times the acceleration of gravity, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=9.81m ALIGN=MIDDLE  ALT=\"g=9.81m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.23kg%29%28v%5E2%2F%221.1+m%22%29=%281.1kg%29%2A9.81m ALIGN=MIDDLE  ALT=\"%280.23kg%29%28v%5E2%2F%221.1+m%22%29=%281.1kg%29%2A9.81m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2=%281.1kg%2F%220.23+kg%22%29 ALIGN=MIDDLE  ALT=\"v%5E2=%281.1kg%2F%220.23+kg%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.1m%29%289.81m%29%2Fs%5E2=51.6091 ALIGN=MIDDLE  ALT=\"%281.1m%29%289.81m%29%2Fs%5E2=51.6091\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%2F%22 ALIGN=MIDDLE  ALT=\"%22%2F%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2 ALIGN=MIDDLE  ALT=\"s%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=sqrt%2851.6091%29 ALIGN=MIDDLE  ALT=\"v=sqrt%2851.6091%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22m%2Fs%22=7.18 ALIGN=MIDDLE  ALT=\"%22m%2Fs%22=7.18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22m%2Fs%22 ALIGN=MIDDLE  ALT=\"%22m%2Fs%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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