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</head>

<body lang=3DEN-US style=3D'tab-interval:.5in'>

<div class=3DSection1>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Department =
of Natural
Sciences</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Clayton Sta=
te
University</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'>January 20, 2=
010</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Physics 111=
1 &#8211;
Quiz 1</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal><span class=3DGramE>Name<span style=3D'mso-spacerun:ye=
s'>&nbsp;
</span>_</span>__SOLUTION__________________________________</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <li class=3DMsoNormal style=3D'mso-list:l2 level1 lfo3;tab-stops:list .5in=
'>The
     speed of a boat is often given in knots. If a speed of 5 knots were
     expressed<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </s=
pan>in
     the SI system of units, the units would be:</li>
</ol>

<p class=3DMsoNormal style=3D'margin-left:1.0in'><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D1 type=3Da>
  <li class=3DMsoNormal style=3D'mso-list:l2 level2 lfo3;tab-stops:list 1.0=
in'><span
      class=3DGramE><i style=3D'mso-bidi-font-style:normal'>m</i></span>.</=
li>
 </ol>
</ol>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D2 type=3Da>
  <li class=3DMsoNormal style=3D'mso-list:l2 level2 lfo3;tab-stops:list 1.0=
in'><span
      class=3DGramE><i style=3D'mso-bidi-font-style:normal'>s</i></span>.</=
li>
 </ol>
</ol>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D3 type=3Da>
  <li class=3DMsoNormal style=3D'color:red;mso-list:l2 level2 lfo3;tab-stop=
s:list 1.0in'><span
      class=3DGramE><i style=3D'mso-bidi-font-style:normal'>m/s</i></span>.=
<o:p></o:p></li>
 </ol>
</ol>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D4 type=3Da>
  <li class=3DMsoNormal style=3D'mso-list:l2 level2 lfo3;tab-stops:list 1.0=
in'><span
      class=3DGramE><i style=3D'mso-bidi-font-style:normal'>kg/s</i></span>=
.</li>
 </ol>
</ol>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<ol style=3D'margin-top:0in' start=3D2 type=3D1>
 <li class=3DMsoNormal style=3D'text-align:center;mso-list:l2 level1 lfo3;
     tab-stops:list .5in left 225.0pt'>Newton&#8217;s Universal Law of
     gravitation states that the force between two masses, <i style=3D'mso-=
bidi-font-style:
     normal'>m<sub>1</sub></i> and<span style=3D'mso-spacerun:yes'>&nbsp; <=
/span><i
     style=3D'mso-bidi-font-style:normal'>m<sub>2</sub></i> , separated by a
     distance <i style=3D'mso-bidi-font-style:normal'>r</i> is given by the
     following equation:</li>
</ol>

<p class=3DMsoNormal style=3D'margin-left:.5in;tab-stops:225.0pt'><span
style=3D'mso-spacerun:yes'>&nbsp;</span><sub><!--[if gte vml 1]><v:shapetype
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  <v:f eqn=3D"prod @6 1 2"/>
  <v:f eqn=3D"prod @7 21600 pixelWidth"/>
  <v:f eqn=3D"sum @8 21600 0"/>
  <v:f eqn=3D"prod @7 21600 pixelHeight"/>
  <v:f eqn=3D"sum @10 21600 0"/>
 </v:formulas>
 <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/>
 <o:lock v:ext=3D"edit" aspectratio=3D"t"/>
</v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi=
dth:63.75pt;
 height:32.25pt' o:ole=3D"">
 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image001.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D85 height=3D43
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image002.gif" v:shapes=3D"=
_x0000_i1025"><![endif]></sub><!--[if gte mso 9]><xml>
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</xml><![endif]-->.</p>

<p class=3DMsoNormal style=3D'tab-stops:225.0pt'><i style=3D'mso-bidi-font-=
style:
normal'><o:p>&nbsp;</o:p></i></p>

<p class=3DMsoNormal style=3D'tab-stops:225.0pt'><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;
</span>What is the dimension of <i style=3D'mso-bidi-font-style:normal'>G</=
i>?</p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1026" typ=
e=3D"#_x0000_t75"
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 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image005.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D88 height=3D24
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image006.gif" v:shapes=3D"=
_x0000_i1026"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1026"
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 </o:OLEObject>
</xml><![endif]--><i style=3D'mso-bidi-font-style:normal'><o:p></o:p></i></=
p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1027" typ=
e=3D"#_x0000_t75"
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 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image007.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D68 height=3D48
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image008.gif" v:shapes=3D"=
_x0000_i1027"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1027"
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</xml><![endif]--></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1028" typ=
e=3D"#_x0000_t75"
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 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image009.wmz"
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</v:shape><![endif]--><![if !vml]><img width=3D215 height=3D47
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image010.gif" v:shapes=3D"=
_x0000_i1028"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1028"
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 </o:OLEObject>
</xml><![endif]--><i style=3D'mso-bidi-font-style:normal'><o:p></o:p></i></=
p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal align=3Dcenter style=3D'margin-left:.75in;text-align:c=
enter;
tab-stops:225.0pt'><i style=3D'mso-bidi-font-style:normal'><o:p>&nbsp;</o:p=
></i></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp; </span>3.<span
style=3D'mso-spacerun:yes'>&nbsp; </span><span style=3D'mso-bidi-font-style=
:italic'>Given
that </span><i style=3D'mso-bidi-font-style:normal'>a </i><span style=3D'ms=
o-bidi-font-style:
italic'>=3D 12.5 m and </span><i style=3D'mso-bidi-font-style:normal'>b </i=
><span
style=3D'mso-bidi-font-style:italic'>=3D 17.0 m, find:<o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;tab-stop=
s:225.0pt'><i
style=3D'mso-bidi-font-style:normal'><!--[if gte vml 1]><v:shape id=3D"_x00=
00_i1029"
 type=3D"#_x0000_t75" style=3D'width:153pt;height:114.75pt'>
 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image003.png"
  o:title=3D"summer03"/>
</v:shape><![endif]--><![if !vml]><img width=3D204 height=3D153
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image011.jpg" v:shapes=3D"=
_x0000_i1029"><![endif]></i><span
style=3D'mso-bidi-font-style:italic'><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;tab-stop=
s:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;tab-stop=
s:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;tab-stop=
s:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-left:.25in;text-align:justify;tab-stop=
s:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D1 type=3Da>
  <li class=3DMsoNormal style=3D'text-align:justify;mso-list:l1 level2 lfo5;
      tab-stops:list 1.0in left 225.0pt'><span style=3D'mso-bidi-font-style=
:italic'>The
      length of side </span><i style=3D'mso-bidi-font-style:normal'>c</i><s=
pan
      style=3D'mso-bidi-font-style:italic'>.<o:p></o:p></span></li>
 </ol>
</ol>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><sub><!--[if gte vml 1]><v:shape id=3D=
"_x0000_i1030"
 type=3D"#_x0000_t75" style=3D'width:59.25pt;height:15.75pt' o:ole=3D"">
 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image012.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D79 height=3D21
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image013.gif" v:shapes=3D"=
_x0000_i1030"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1030"
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 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><sub><!--[if gte vml 1]><v:shape id=3D=
"_x0000_i1031"
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</v:shape><![endif]--><![if !vml]><img width=3D92 height=3D27
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image015.gif" v:shapes=3D"=
_x0000_i1031"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1031"
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 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><i><span
style=3D'color:red'>c</span></i><span style=3D'color:red;mso-bidi-font-styl=
e:italic'>
=3D 21.1 m<o:p></o:p></span></p>

<ol style=3D'margin-top:0in' start=3D1 type=3D1>
 <ol style=3D'margin-top:0in' start=3D2 type=3Da>
  <li class=3DMsoNormal style=3D'text-align:justify;mso-list:l1 level2 lfo5;
      tab-stops:list 1.0in left 225.0pt'><span style=3D'mso-bidi-font-style=
:italic'>The
      cosine of angle </span><i><span style=3D'font-family:Symbol'>q</span>=
</i><span
      style=3D'font-family:Symbol;mso-bidi-font-style:italic'>.</span><span
      style=3D'mso-bidi-font-style:italic'><o:p></o:p></span></li>
 </ol>
</ol>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'font-family:Symbol;mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></=
span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'font-family:Symbol;mso-bidi-font-style:italic'><sub><!--[if gte vm=
l 1]><v:shape
 id=3D"_x0000_i1032" type=3D"#_x0000_t75" style=3D'width:63.75pt;height:15.=
75pt'
 o:ole=3D"">
 <v:imagedata src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image016.wmz"
  o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D85 height=3D21
src=3D"Spring10.Phys1111.Quiz1.SolutionWeb_files/image017.gif" v:shapes=3D"=
_x0000_i1032"><![endif]></sub><!--[if gte mso 9]><xml>
 <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1032"
  DrawAspect=3D"Content" ObjectID=3D"_1325609948">
 </o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
style=3D'font-family:Symbol;mso-bidi-font-style:italic'><o:p>&nbsp;</o:p></=
span></p>

<p class=3DMsoNormal style=3D'text-align:justify;tab-stops:225.0pt'><span
class=3DSpellE><span style=3D'color:red;mso-bidi-font-style:italic'>cos</sp=
an></span><span
style=3D'font-family:Symbol;color:red;mso-bidi-font-style:italic'>(<i>q</i>=
) =3D 0.806<o:p></o:p></span></p>

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