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The following information pertains to questions 1-6. A dad takes his two children to the park to play on the merry-go-round. The 30 kg, 9 year old boy sits a distance 1.0 m from the center of the merry-go-round. The 20 kg, 6 year old girl sits 1.4 m from the center of the merry-go-round. Dad gets them going and then climbs out onto a tree limb overhanging the merry-go-round to take some pictures. As he watches, the kids are turning in a clockwise manner and slowing down uniformly. The angular acceleration of the merry-go-round is directed ___.
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The kinetic energy of the little boy is ___ the kinetic energy of the little girl.
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The angular momentum of the little boy is directed ___.
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The magnitude of the angular momentum of the little girl is ___ the magnitude of the angular momentum of her brother.
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The magnitude of the net, external force acting on the boy is ___ the magnitude of the net, external force acting on the girl.
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The net, external torque acting on the merry-go-round is ___.
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The following information pertains to questions 7-11. An ant clings for dear life onto the sweep second hand of a wall clock suspended at eye level in the kitchen. You stand there facing the clock watching as the little insect struggles to hold on. When the second hand points toward the three, the torque exerted on the second hand about the center of the clock by the weight of the ant is ___.
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If as the second hand moves from the eight toward the nine the speed of the second hand is slowing down due to the weight of the ant, the net torque acting on the second hand is ___.
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As the second hand moves from the ten toward the eleven, the magnitude of the torque about the center of the clock exerted on the second hand by the weight of the ant ___.
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As the second hand moves from the two toward the three, the magnitude of the torque about the center of the clock exerted on the second hand by the weight of the ant ___.
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When the second hand points toward the six, the torque exerted on the second hand about the center of the clock by the weight of the ant is ___.
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The following information pertains to questions 12-14. A bricklayer works on a stable scaffold supported by two posts, one on the right which exerts a force FR on the scaffold and one on the left which exerts a force FL on the scaffold as depicted in the figure at the right. As the bricklayer moved from point p2 toward point p3, the magnitude of the force exerted on the scaffold by the left support post ___.
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As the bricklayer moves from point p4 toward point p3, the magnitude of the net external force exerted on the scaffold ___.
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As the bricklayer moves from point p3 toward point p2, the magnitude of the torque about point p1 due to the weight of the bricklayer ___.
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The following information pertains to questions 15-22. A roofing contractor rests the base of this ladder on a flat, horizontal side walk and leans the ladder against the smooth vertical wall of a single story strip shopping center. The top of the ladder makes contact with the wall a few inches below the top of the wall and makes an angle (< 30o) with the wall. The ladder remains stable regardless of the position of the contractor on the ladder. The contractor picks up a roll of roofing material and starts up the ladder. As he moves up the ladder, . . . . . . the magnitude of the net external force exerted on the ladder ___.
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. . . the magnitude of the total force exerted on the ladder by the ground ___.
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. . . the magnitude of the force exerted on the ladder by the wall ___.
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. . . the magnitude of the torque about the point of contact of the ladder with the ground due to the weight of the ladder ___.
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. . . the magnitude of the torque about the point of contact of the ladder with the wall due to the weight of the contractor ___.
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. . . the magnitude of the torque about the point of contact of the ladder with the ground due to the weight of the contractor ___.
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. . . the magnitude of the torque about the point of contact of the ladder with the wall due to the force exerted on the ladder by the ground ___.
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. . . the magnitude of the torque about the point of contact of the ladder with the wall due to all the forces acting on the ladder ___.
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