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Student B 80 kg Student A 100 kg TITTITY 1. (15 points) An Atwood pulley is shown above. Rather than masses, two students hold on

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Student B 80 kg Student A 100 kg TITTITY 1. (15 points) An Atwood pulley is shown above. Rather than masses, two students hold on to either end of the rope of negligible mass. One end of the rope is held by Student A of mass 100 kg, who is at rest on the floor. The opposite end of the rope is held by Student B of mass 80 kg, who is suspended at rest above the floor. (a) On the dots below that represent the students, draw and label free-body diagrams showing the forces on Student A and on Student B. B A (b) Calculate the magnitude of the force exerted by the floor on Student A. Student B now climbs up the rope at a constant acceleration of 0.35 m/s with respect to the floor. (c) Calculate the tension in the rope while Student B is accelerating. (d) As Student B is accelerating, is Student A pulled upward off the floor? Justify your answer. (e) With what minimum acceleration must Student B climb up the rope to lift Student A upward off the floor

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