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Subject: Energy, Work & Power (multiple choice test)
Date: Wed, 29 Dec 2004 06:48:05 -0500
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<HTML><HEAD><TITLE>Energy, Work & Power (multiple choice test)</TITLE>
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<META content=3D"Klaus Oetjen" name=3DAuthor>
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<BODY text=3D#000000 vLink=3D#800080 aLink=3D#ff0000 link=3D#0000ff =
bgColor=3Dwhite>
<BLOCKQUOTE>
  <TABLE bgColor=3D#ffff00>
    <TBODY>
    <TR>
      <TD><B>Multiple Choice Online Test</B><BR>Indicate the correct =
answer by=20
        clicking on the button next to the numbers 1, 2, 3 or 4. There =
is only=20
        one correct answer per question. After you have answered=20
        <B><U>all</U></B> multiple choice questions compare your choices =
with=20
        the correct answers. </TD></TR></TBODY></TABLE>
  <HR width=3D"100%" color=3Dblue SIZE=3D5>

  <CENTER>
  <H2>Energy, Work &amp; Power</H2></CENTER>
  <HR width=3D"100%" color=3Dblue SIZE=3D5>

  <FORM name=3DF><!frage1><B>1.) An object moving in a straight line =
with a=20
  constant velocity has kinetic energy E and momentum <I>p</I>. If the =
speed of=20
  the object is doubled, the new value of kinetic energy and momentum =
will be=20
  =85</B>=20
  <UL>
    <TABLE cellSpacing=3D0 cellPadding=3D0 width=3D360 border=3D0>
      <TBODY>
      <TR>
        <TD width=3D50>&nbsp;</TD>
        <TD width=3D155><B>
          <CENTER>Kinetic Energy</CENTER></B></TD>
        <TD width=3D155><B>
          <CENTER>Momentum</CENTER></B></TD></TR></TBODY></TABLE>
    <TABLE cellSpacing=3D0 cols=3D2 cellPadding=3D3 width=3D350 =
border=3D1>
      <TBODY>
      <TR>
        <TD align=3Dmiddle width=3D40><B>1</B><INPUT type=3Dradio =
value=3D0=20
name=3DQ1></TD>
        <TD width=3D155>
          <CENTER>2 E</CENTER></TD>
        <TD width=3D155>
          <CENTER>2 <I>p</I></CENTER></TD></TR>
      <TR>
        <TD align=3Dmiddle width=3D40><B>2</B><INPUT type=3Dradio =
value=3D0=20
name=3DQ1></TD>
        <TD width=3D155>
          <CENTER>2 E</CENTER></TD>
        <TD width=3D155>
          <CENTER>4 <I>p</I></CENTER></TD></TR>
      <TR>
        <TD align=3Dmiddle width=3D40><B>3</B><INPUT type=3Dradio =
value=3D0=20
name=3DQ1></TD>
        <TD width=3D155>
          <CENTER>4 E</CENTER></TD>
        <TD width=3D155>
          <CENTER><I>p</I></CENTER></TD></TR>
      <TR>
        <TD align=3Dmiddle width=3D40><B>4</B><INPUT type=3Dradio =
value=3D1=20
name=3DQ1></TD>
        <TD width=3D155>
          <CENTER>4 E</CENTER></TD>
        <TD width=3D155>
          <CENTER>2 <I>p</I></CENTER></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("E<sub>k</sub> =3D 1/2mv<sup>2</sup>, doubling v =
increases E<sub>k</sub> by 4. p =3D mv, doubling v doubles the momentum. =
Only option 4 offers 4 E<sub>k</sub> and 2 p.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage2><B>2.) A ball is projected vertically upwards and =
then returns=20
  to the ground. Ignore all frictional forces. Which one of the =
following=20
  statements about the kinetic energy and potential energy of the ball =
is true?=20
  </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ2></TD>
        <TD>The kinetic energy is always equal to the potential =
energy.</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ2></TD>
        <TD>The kinetic energy is always less than the potential =
energy.</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ2></TD>
        <TD>The kinetic energy is always more than the potential =
energy.</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D1 =
name=3DQ2></TD>
        <TD>The sum of the kinetic energy and potential energy is always =

          constant.</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Application of law of conservation of energy: =
energy cannot be created or destroyed, but can be changed from one form =
to another. On rising the potential energy increases as the kinetic =
energy decreases and on falling down the opposite happens. But at any =
moment the sum of both energies is constant.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage3><B>3.) An object is dropped from the top of a high =
building and=20
  falls freely to the ground. Which one of the graphs below best =
represents its=20
  potential energy (Ep) as a function of the distance fallen by the =
object?</B>=20
  <UL><IMG height=3D262 alt=3D"energy, work, power I, diagram 1"=20
    src=3D"http://www.sec.org.za/tests/pmcwep1.gif" width=3D547 =
border=3D0> <BR><BR>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D100 border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D1 =
name=3DQ3></TD>
        <TD><B>
          <CENTER>A</CENTER></B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD><B>
          <CENTER>B</CENTER></B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD>
          <CENTER><B>C</B></CENTER></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD><B>
          <CENTER>D</CENTER></B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("E<sub>p</sub> =3D mgh is a linear function =
(straight line graph), which is only given in option 1. Or in other =
words: the amount of potential energy decreases - on falling - by the =
same amount for equal distances/heights.  ")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage4><B>4.) A large and a small sphere are released at the =
same time=20
  from the same height above the ground. Which one of the following =
quantities=20
  associated with the spheres will be the same for both after 1 second, =
if=20
  frictional effects are ignored? </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D1 =
name=3DQ4></TD>
        <TD>speed</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD>momentum</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD>potential energy</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD>kinetic energy</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Both spheres are exposed to the same =
acceleration (acceleration due to gravity) hence they develop the same =
speed in equal time intervals.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage5><B>5.) Which one of the following expressions has the =
same=20
  units as power? </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD>force <SMALL>x</SMALL> distance</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD>work <SMALL>x</SMALL> time</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD>force <SMALL>x</SMALL> acceleration</TD></TR>
      <TR>
        <TD width=3D40>4<INPUT type=3Dradio value=3D1 name=3DQ5></TD>
        <TD>force <SMALL>x</SMALL> =
velocity</TD></TR></TBODY></TABLE><INPUT onclick=3D'gibfeedback("The =
beautiful mathematics of units. Power =3D work done / time taken =3D =
force x displacement / time {N=B7m/s}, which is given in option 4.")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage6><B>6.) A person lifts a heavy load to a vertical =
height of 2,0=20
  m in 3 seconds. If he/she had done this more slowly in 6 seconds, the =
work on=20
  the load would have been: </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ6></TD>
        <TD>twice as great</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ6></TD>
        <TD>four times as great</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ6></TD>
        <TD>the same</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ6></TD>
        <TD>half as great</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Remember, work does not depend on time (but =
power does), so the correct answer is option 3.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage7><B>7.) At what height above the ground must a mass of =
10 kg be=20
  to have a potential energy equal in value to the kinetic energy =
possessed by a=20
  mass of 10 kg moving with a velocity of 20 m/s? </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD>10 m</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D1 =
name=3DQ7></TD>
        <TD>20 m</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD>50 m</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD>100 m</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("E<sub>k</sub> of a body of mass 10 kg with speed =
20 m/s =3D 1/2 mv<sup>2</sup> =3D 1/2 =B710=B7(20=B720) =3D 5 =B7 400 =
=3D 2000J. E<sub>p</sub> =3D m=B7g=B7h =BB h =3D E<sub>p</sub>/m=B7g =3D =
2000/100 =3D 20 m.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage8><B>8.) A girl runs up one flight of steps. Which one =
of the=20
  following factors does not affect the work done by the girl against =
gravity?=20
  </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD>mass of the girl</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD>height of the steps</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ8></TD>
        <TD>speed of the girl</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD>acceleration due to gravity</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("See also question 6, the work done by the girl =
does not depend on the time taken to run up the flight of stairs, hence =
the speed does not matter. Or: E<sub>p</sub> =3D mgh, mass m referred to =
in option 1, height h referred to in option 2 and force due to gravity =
in option 4.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage9><B>9.) A girl weighing 400 N runs up the a flight of =
stairs=20
  (height 5 m) in a time of 4 seconds. Her rate of working against =
gravity is=20
  ... </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ9></TD>
        <TD>320 W</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ9></TD>
        <TD>400 W</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ9></TD>
        <TD>500 W</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ9></TD>
        <TD>2000 W</TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Rate of work against gravity is power. P =3D =
400=B75/4 =3D 500W.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage10><B>10.) A stone dropped from the top of a 80m high =
building=20
  strikes the ground at 40 m/s after falling for 4 seconds. The stone's=20
  potential energy with respect to the ground is equal to its kinetic =
energy =85=20
  </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ10></TD>
        <TD>at the moment of impact.</TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ10></TD>
        <TD>2 seconds after the stone is released.</TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ10></TD>
        <TD>after the stone has fallen 40 m.</TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ10></TD>
        <TD>when the stone is moving at 20 =
m/s.</TD></TR></TBODY></TABLE><INPUT onclick=3D'gibfeedback("A badly =
phrased question. Let us look at it this way. The stone has =
E<sub>p</sub>=3D mgh =3Dm=B710=B780 =3D 800m at the top of the building. =
When does it E<sub>k</sub> equals this value? E<sub>k</sub>=3D =
E<sub>p</sub> =3D 800m =3D 1/2mv<sup>2</sup>. Hence 1600 =3D =
v<sup>2</sup> or v =3D 40 m/s.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL>
  <HR color=3Dblue SIZE=3D5>

  <CENTER>
  <TABLE cellSpacing=3D0 cols=3D1 width=3D"60%" border=3D1>
    <CAPTION><B>Results</B></CAPTION>
    <TBODY>
    <TR>
      <TD>
        <CENTER><INPUT type=3Dhidden value=3Dfalse =
name=3Dbearbeitet><INPUT onclick=3Dshow() type=3Dbutton value=3D"See =
your results" name=3DButton></CENTER></TD></TR>
    <TR>
      <TD>
        <CENTER><TEXTAREA name=3Dergebnis rows=3D3 readOnly =
cols=3D50></TEXTAREA></CENTER></TD></TR>
    <TR>
      <TD>
        <CENTER><INPUT onclick=3Dshowcorrect() type=3Dbutton =
value=3D"What are the correct answers?" =
name=3DButton></CENTER></TD></TR></TBODY></TABLE></CENTER></FORM>
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      <TD><FONT color=3D#9933ff>Hint: You can do the test offline as =
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choice.=20
        But remember to open file either with windows explorer or =
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