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);>