qu.1.topic=Ch 8, Sec 1 - Conservative and Nonconservative Forces@
qu.1.1.mode=Randomized Formula@
qu.1.1.editing=useHTML@
qu.1.1.name=mg@
qu.1.1.question=What is the magnitude of work done by the gravitational force if a $m-kg body moves from $point_to_point along path $path? Suppose that a = $a m, b = $b m, c = $c m, and d= $d m.
@
qu.1.1.answer=$ans J (1 ? 0.1)@
qu.1.1.random=
$integer\=rint(6);
$point_to_point\=switch($integer,"point B to point A","point A to point B","point A to point C","point C to point A","point C to point D","point D to point C");
$path\=switch($integer,"2","2","1","1","3","3");
$k\=rand(0.2,0.7,3);
$k1\=rand(0.2,0.7,3);
$a\=rand(2,4,3);
$b\=sig(3,$a*(1+$k));
$c\=rand(3,6,3);
$d\=sig(3,$c*(1+$k1));
$ans1\=switch($integer,$d,$d,$d,$d,$c+$d,$c+$d);
$m\=rand(1,6,3);
$ans\=sig(3,9.8*$m*$ans1)@
qu.2.topic=Ch 8, Sec 2 - Potential Energy and the Work Done by Conservative Forces@
qu.2.1.mode=Randomized Formula@
qu.2.1.editing=useHTML@
qu.2.1.name=Change in Potential Energy@
qu.2.1.question=Find the magnitude of the change of gravitational potential energy when a $m-kg body is thrown vertically upwards to $h m above its initial height.@
qu.2.1.answer=$ans J (1 ? 0.05)@
qu.2.1.random=
$m\=rand(1,10,3);
$h\=rand(2,15,3);
$ans\=sig(3,9.8*$m*$h)@
qu.3.topic=Ch 8, Sec 3 - Conservation of Mechanical Energy@
qu.3.1.mode=Randomized Formula@
qu.3.1.editing=useHTML@
qu.3.1.name=Falling Box@
qu.3.1.question=A block of mass m = $m kg is released from a certain height and is falling toward an uncompressed spring. Find the compression of the spring if Dh = $dh m and the force constant of the spring is $k N/m.
@
qu.3.1.answer=$ans m (1 ? 0.05)@
qu.3.1.random=
$m\=rand(0.5,2,3);
$dh\=rand(0.3,0.9,3);
$k\=rand(400,900,3);
$ans\=sig(3,(2*$m*9.8*$dh/$k)^(1/2))@
qu.4.topic=Ch 8, Sec 4 - Work Done by Nonconservative forces@
qu.4.1.mode=Randomized Formula@
qu.4.1.editing=useHTML@
qu.4.1.name=Work by Frictional Force@
qu.4.1.question=Sliding on a rough surface, a $m-kg body decelerates from $v_init m/s to $v_final m/s. What is the work done by the frictional force?@
qu.4.1.answer=$ans J (1 ? 0.05)@
qu.4.1.random=
$m\=rand(1,5,3);
$k\=rand(0.5,1.9);
$v_final\=rand(3,5,3);
$v_init\=sig(3,$v_final*(1+$k));
$ans\=sig(3,0.5*$m*(($v_init)^2-($v_final)^2))@
qu.5.topic=Ch 8, Sec 5 - Potential Energy Curves and Equipotentials@
qu.5.1.mode=randomized formula@
qu.5.1.editing=useHTML@
qu.5.1.name=U(x) vs. x - Determine Speed@
qu.5.1.question=A moving $m-kg body generates the U(x) graph shown below. Knowing that the body starts at rest, find its speed at point $point.
@
qu.5.1.answer=$ans m/s (1 ? 0.1)@
qu.5.1.random=
$integer\=rint(7);
$m\=rand(5,10,3);
$point\=switch($integer,"A","B","C","D","E","F","G");
$ans1\=switch($integer,0,5,9.5,5,14,17.6,0);
$ans\=sig(3,(2*$ans1/$m)^(1/2))@