Four toddlers are fighting over a 1.102 lb doll. Two children each hold an arm of the doll, and two children each hold a leg. Suppose the doll has a force sensor in each limb which records the following measurements (all of these are plausible toddler pull strengths: http://www.humanics- es.com/strength,pdf): Child 1, 28.23 Ibs, pulls the left arm with a force of 49.50 Nin the ENE direction. Child 2, 32.56 Ibs, pulls the right arm with a force of 76.43 N in the NW direction. Child 3, 29.85 Ibs, pulls the left leg with a force of 52.49 N in the SE direction. Child 4, 33.10 Ibs, pulls the right leg with a force of 85.62N in the WSW direction. Assuming the children are pulling as hard as they can (that is, each force is constant) for a full 3 seconds (before they run out of gas) before they let go, determine the following: (a) In what quadrant do you think the net force vector will le (1, 11, II, IV)? |(b) Calculate the net force on the doll: In what direction is the doll pulled (in degrees N of W)? 3.523 deg Calculate the acceleration of the doll: 50.35 N 100.9 m/s^2 Calculate the impulse delivered to the doll if it started from rest: 151.3 Ns
Four toddlers are fighting over a 1.102 lb doll. Two children each hold an arm of the doll, and two children each hold a leg. Suppose the doll has a force sensor in each limb which records the following measurements (all of these are plausible toddler pull strengths: http://www.humanics- es.com/strength,pdf): Child 1, 28.23 Ibs, pulls the left arm with a force of 49.50 Nin the ENE direction. Child 2, 32.56 Ibs, pulls the right arm with a force of 76.43 N in the NW direction. Child 3, 29.85 Ibs, pulls the left leg with a force of 52.49 N in the SE direction. Child 4, 33.10 Ibs, pulls the right leg with a force of 85.62N in the WSW direction. Assuming the children are pulling as hard as they can (that is, each force is constant) for a full 3 seconds (before they run out of gas) before they let go, determine the following: (a) In what quadrant do you think the net force vector will le (1, 11, II, IV)? |(b) Calculate the net force on the doll: In what direction is the doll pulled (in degrees N of W)? 3.523 deg Calculate the acceleration of the doll: 50.35 N 100.9 m/s^2 Calculate the impulse delivered to the doll if it started from rest: 151.3 Ns
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