document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161028>Question 1161028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5. a) A 70-Kg box is slid along the floor by a 400-N force. The coefficient of friction between the box and the floor is 0.50 when the box is sliding. Calculate acceleration of the box?\r<BR>\n" );
document.write( "\n" );
document.write( "5. b) Suppose this box (70-Kg) is pulled by a 400-N force at an angle of 30 to the horizontal .\r<BR>\n" );
document.write( "\n" );
document.write( "Find the X and the Y components.\r<BR>\n" );
document.write( "\n" );
document.write( "5. c) Determine the acceleration of the box </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784989 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=784989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NOTE: If you have to \"show your work\" you may want to use the number of decimal places/significant figures that would make your teacher/instructor/professor happy.<BR>\n" );
document.write( "I tend to use more decimal places than needed during intermediate calculations and round at the end, because that is what is required in my line of work.<BR>\n" );
document.write( " <BR>\n" );
document.write( "a) Assuming a horizontal, level floor, the normal force (perpendicular to the surface, pressing the box into the floor) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2870kg%29%2A%289.807ms%5E9-2%29=686.49N ALIGN=MIDDLE  ALT=\"%2870kg%29%2A%289.807ms%5E9-2%29=686.49N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The horizontal friction force opposing the movement is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.50%2A%28686.49N%29=343.245N ALIGN=MIDDLE  ALT=\"0.50%2A%28686.49N%29=343.245N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The net force on the box is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400N-343.245N=56.755N ALIGN=MIDDLE  ALT=\"400N-343.245N=56.755N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The box will accelerate in the direction of the 400N force.<BR>\n" );
document.write( "The acceleration will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56.755N%2F%2270+kg%22=highlight%280.81ms%5E%28-2%29%29 ALIGN=MIDDLE  ALT=\"56.755N%2F%2270+kg%22=highlight%280.81ms%5E%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C350%2C-.5%2C9.5%2C-1%2C6%2C%0D%0Ared%28line%280%2C0%2C8.66%2C5%29%29%2Crectangle%280%2C0%2C8.66%2C5%29%2C%0D%0Aarrow%280%2C0%2C-1%2C0%29%2Carrow%288.66%2C0%2C11%2C0%29%2C%0D%0Aline%280%2C0%2C8.66%2C0%29%2Cline%280%2C0%2C0%2C5%29%2C%0D%0Aarrow%280%2C0%2C0%2C5%29%2Carrow%283.66%2C0%2C8.66%2C0%29%2C%0D%0Ared%28arrow%284.33%2C2.5%2C8.66%2C5%29%29%2C%0D%0Arectangle%280%2C0%2C-.2%2C0.2%29%2Clocate%284.33%2C2.5%2Cred%28F=400N%29%29%2C%0D%0Alocate%284%2C0.15%2CF%5Bx%5D%29%2Clocate%280.1%2C2.8%2CF%5By%5D%29%2C%0D%0Agreen%28arc%280%2C0%2C4%2C4%2C330%2C360%29%29%2Clocate%281.3%2C0.7%2Cgreen%2830%5Eo%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Bx%5D=%28400N%29%2Acos%2830%5Eo%29=%28400N%29%2A0.8660=highlight%28346.4N%29 ALIGN=MIDDLE  ALT=\"F%5Bx%5D=%28400N%29%2Acos%2830%5Eo%29=%28400N%29%2A0.8660=highlight%28346.4N%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5By%5D=%28400N%29%2Asin%2830%5Eo%29=%28400N%29%2A0.5000=highlight%28200N%29 ALIGN=MIDDLE  ALT=\"F%5By%5D=%28400N%29%2Asin%2830%5Eo%29=%28400N%29%2A0.5000=highlight%28200N%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "c) Now the normal force is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=686.49N-F%5By%5D=686.49N-200N=486.49N ALIGN=MIDDLE  ALT=\"686.49N-F%5By%5D=686.49N-200N=486.49N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That will make the friction force opposing the movement<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28486.49N%29%2A0.50=243.245N ALIGN=MIDDLE  ALT=\"%28486.49N%29%2A0.50=243.245N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The net horizontal force acting on the box will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=346.4N-243.245N=103.155N ALIGN=MIDDLE  ALT=\"346.4N-243.245N=103.155N\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Acting on a mass of 70kg, that net horizontal force will produce a horizontal acceleration of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=103.155N%2F%2270+kg%22=highlight%281.47ms%5E%28-2%29%29 ALIGN=MIDDLE  ALT=\"103.155N%2F%2270+kg%22=highlight%281.47ms%5E%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );