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Subject: Kinematics: equations of motion II
Date: Wed, 29 Dec 2004 06:29:38 -0500
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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=3D3>

  <CENTER>
  <H2>Equations of Motion II</H2></CENTER>
  <HR width=3D"100%" color=3Dblue SIZE=3D3>
  <BR>
  <FORM name=3DF><!frage1><!frage11><B>1.) A hunter points a dart =
directly at a=20
  monkey sitting on a tree. However, just as the hunter fires the dart =
the=20
  monkey drops from the branch. The dart will ... </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=3DQ1></TD>
        <TD><B>Strike the monkey.</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ1></TD>
        <TD><B>Pass over the monkey.</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ1></TD>
        <TD><B>Pass below the monkey.</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ1></TD>
        <TD><B>More information is required to answer the=20
      question.</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("They hit the ground at the same time since =
vertical component of motion is independent of horizontal component. =
This question appears in many disguises. But be careful not to mistake =
it with a type of question, were the initial velocity in vertical =
direction is not zero: see question 9 in multiple choice test 1 on =
equations of motion.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage2><B>2.) A parachutist is descending with uniform =
velocity. This=20
  indicates that he is experiencing =85 </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><B>no forces at all</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D1 =
name=3DQ2></TD>
        <TD><B>zero resultant force</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ2></TD>
        <TD><B>a downward resultant force</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ2></TD>
        <TD><B>an upward resultant =
force</B></TD></TR></TBODY></TABLE><INPUT onclick=3D'gibfeedback("When =
gravitational force (weight of parachutist) is balanced by frictional =
force (air friction) acceleration becomes zero and the falling object =
has reached its terminal velocity which is of course uniform. In =
parachuting it is said to be around 180km/hr when the brave person is =
outstretched to max. air resistance.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage3><B>3.) A motorcycle accelerates uniformly from rest =
along a=20
  straight road, reaching a speed of 200 km/h after 10,0 seconds. At =
what stage=20
  during the motion does the bike's speedometer needle pass the 100 km/h =
mark?=20
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD><B>halfway along the road</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D1 =
name=3DQ3></TD>
        <TD><B>5,0 seconds after starting</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD><B>some distance after the halfway mark</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ3></TD>
        <TD><B>some time before 5 =
seconds</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Reaching a speed of 200km/hr after 10 seconds =
requires an acceleration of 20m.s<sup>-2</sup>. Hence with an =
acceleration of 20m.s<sup>-2</sup> it takes 5 seconds for the bike to =
reach a speed of 100 km/hr.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage4><B>4.) Consider the following velocity-time graph of =
a car=20
  starting from rest in a straight line. At what time of the movement is =
the=20
  object the furthest from its starting point? </B>
  <UL>
    <CENTER><IMG height=3D171 alt=3D"equations of motion II, diagram 1"=20
    src=3D"http://www.sec.org.za/tests/pmcemotb1.gif" width=3D562 =
border=3D0></CENTER>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D"90%" border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD><B>P</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD><B>Q</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ4></TD>
        <TD><B>R</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ4></TD>
        <TD><B>S</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("The given graph represents a motion with a =
positive constant acceleration (=3D increase in velocity until the car =
reaches point Q) and thereafter a constant negative acceleration (=3D =
decrease in velocity until point R). However, the direction of motion =
remains the same. Hence the object is furthest away from its starting =
point at point R. After R it turns and moves back towards its starting =
point.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage5><B>5.) A girl, standing on a bridge, throws a metal =
sphere=20
  vertically downwards as hard as she can. Which statement concerning =
the=20
  acceleration of the stone after it has left her hand is true? (Ignore =
any=20
  effects of air resistance.) </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=3DQ5></TD>
        <TD><B>The sphere's acceleration is equal to "g".</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD><B>The sphere's acceleration is greater than =
"g".</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD><B>The sphere's acceleration is less than "g".</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ5></TD>
        <TD><B>The sphere's acceleration is at first greater than "g", =
then=20
          becomes equal to "g".</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Again the same szenario: an if object is =
airborne the acceleration is <b>g</b> and nothing but <b>g</b>.")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage6><B>6.) How far does a stone fall in 1,0 s when =
dropped on=20
  earth, disregarding any air resistance? </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><B>1 m</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D1 =
name=3DQ6></TD>
        <TD><B>5 m</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ6></TD>
        <TD><B>10</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ6></TD>
        <TD><B>20</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Acceleration is 10m/s<sup>2</sup>, time is 1 =
second, hence we can use the following equation of motion: <br>s =3D =BD =
g t<sup>2</sup><br> s =3D =BD =B710m/s<sup>2</sup> =B7 =
1s<sup>2</sup><br><b><u>s =3D 5m</u></b>")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><B>
  <CENTER><FONT color=3Dred>Question 7 and 8 refer to the diagram=20
  below:</FONT></CENTER><BR>A car is moving on a straight, horizontal =
road at 30=20
  m.s-1 in an easterly direction. The acceleration of the car for the =
following=20
  20 s is shown in the graph as a function of time. </B>
  <P>
  <CENTER><IMG height=3D181 alt=3D"equations of motion II, diagram 2"=20
  src=3D"http://www.sec.org.za/tests/pmcemotb2.gif" width=3D508 =
border=3D0></CENTER>
  <P><!frage7><B>7.) The velocity of the car is =85 </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D3 cellPadding=3D1 width=3D"90%" =
border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD><B>5 m.s-1 west</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD><B>25 m.s-1 west</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ7></TD>
        <TD><B>5 m.s-1 east</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D1 =
name=3DQ7></TD>
        <TD><B>25 m.s-1 east</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Car moving at 30m/s. Decelerates for 10 seconds =
with negative 2 m.s<sup>2</sup>: velocity has decreased to 10m/s. Then =
acceleration with a=3D3m.s<sup>2</sup> increases velocity to 25m/s =
(10m/s + 15m/s). After 15 seconds no further change in velocity, hence =
car is travelling at 25m/s east.")' type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage8><B>8.) During the 20 seconds when is the car =
stationary? </B>
  <UL>
    <TABLE cellSpacing=3D0 cols=3D2 width=3D200 border=3D0>
      <TBODY>
      <TR>
        <TD width=3D40><B>1</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD><B>from 0 to 10 seconds</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD><B>from 10 to 15 seconds</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ8></TD>
        <TD><B>from 15 to 20 seconds</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D1 =
name=3DQ8></TD>
        <TD><B>never</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("That was easy to see.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><!frage9><B>9.) Which of the following will not effect on the=20
  acceleration of a falling object on planet earth? </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><B>Height of the object above sea level.</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D0 =
name=3DQ9></TD>
        <TD><B>Distance between centre of the earth and the =
object.</B></TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D1 =
name=3DQ9></TD>
        <TD><B>Mass of the object.</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ9></TD>
        <TD><B>Mass of the earth.</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("A, B and C have all an influence on acceleration =
due to gravity on the earth (and of course on other planets as well!). =
See also question 7, Equations of motion I.")' type=3Dbutton =
value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL><B>10.) A parachutist lands on the ground at a speed of 6 m/s. =
The=20
  height from which a free-falling object will have to fall to reach the =
same=20
  speed is =85 </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><B>0,30 m</B></TD></TR>
      <TR>
        <TD width=3D40><B>2</B><INPUT type=3Dradio value=3D1 =
name=3DQ10></TD>
        <TD><B>1,80 m</B> </TD></TR>
      <TR>
        <TD width=3D40><B>3</B><INPUT type=3Dradio value=3D0 =
name=3DQ10></TD>
        <TD><B>3,60 m</B></TD></TR>
      <TR>
        <TD width=3D40><B>4</B><INPUT type=3Dradio value=3D0 =
name=3DQ10></TD>
        <TD><B>60 m</B></TD></TR></TBODY></TABLE><INPUT =
onclick=3D'gibfeedback("Apply the following equation of motion: =
<br>v<sup>2</sup> =3D u<sup>2</sup> + 2as <br>36 =3D 0 + =
2=B710=B7x<br>36/20 =3D 18/10 =3D 1,8<br>height =3D 1,8m.")' =
type=3Dbutton value=3DExplanation>
    <SCRIPT language=3DJavaScript>zaehle()</SCRIPT>
     </UL></BLOCKQUOTE>
<HR align=3Dcenter width=3D"95%" 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=3D4 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>
<TABLE cellSpacing=3D0 cellPadding=3D5 width=3D"85%" align=3Dcenter =
border=3D1>
  <TBODY>
  <TR>
    <TD><FONT color=3D#9933ff>Hint: You can do the test offline as well. =
Just=20
      click "file" from the menu, then "save" to a destination of your =
choice.=20
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