QN A <eqn $m=&randnum(10,30,5);>kg crate is pulled by a horizontal
rope with a force of
<eqn $F = &randnum(0.5, 2.0, 0.5) * $m> N
along a rough floor with a constant velocify of
<eqn &randnum(1.4, 2.2, 0.2);>m/s
for a distance of
<eqn $d = &randnum(8, 20, 2);>m.
How much work is done by the horizontal force?<_>J.
<eqn $W = $F * $d;>
QN A <eqn $m=&randnum(10,30,5);>kg crate is pulled at
constant speed across a rough floor by a rope at an angle of
<eqn $theta = &randnum(20,60,5);> degrees above the
horizontal. The tension in the rope is
<eqn $mu_s = 0.2;
$rt = &rad($theta);
$T = $mu_s * $m*9.8/(cos($rt) + $mu_s * sin($rt));
$T = &threefigs($T);> N.
How much work is done if the box is pulled a distance
<eqn $d = &randnum(4,15,1);>m across the floor?<_>J
<eqn &fourfigs($T * cos($rt) * $d);>
QN A <eqn $m = &randnum(1,5,1);> kg block is sliding across a
horizontal surface with a speed of
<eqn $v0 = &randnum(0.5, 4.5, 0.5);> m/s.
What is the kinetic energy of the block?<_>J
<eqn $KE = 0.5 * $m * $v0 * $v0;>
QN Friction between the block and the surface brings the block to
rest in a distance of
<eqn $mu_k = &randnum(0.1, 0.4, 0.05);
$d = 0.5 * $v0 * $v0 / ($mu_k * 9.8);
$d = &threefigs($d);> m.
How much work was done by friction on the block?<_>J
<eqn $W = -1.0 * $KE;>
QN What was the magnitude of the frictional force?<_>N
<eqn $F = abs($W/$d); &fourfigs($F);>
QN What was the coefficient of kinetic friction?<_>
<eqn $mu_k = $F/($m * 9.8); &threefigs($mu_k);>