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Q1. A gymnast of mass 69.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 for the acceleration of gravity.
1) Calculate the tension in the rope if the gymnast hangs motionless on rope.
2 Calculate the tension in the rope if the gymnast climbs the rope at a constant rate.
3) Calculate the tension in rope if the gymnast climbs up the rope with an upward acceleration of magnitude 1.50 m/s^2.
4) Calculate the tension in rope if the gymnast slides down the rope with a downward acceleration of magnitude 1.50 m/s^2.
Q2. The half life of chromium-51 is 28 days. If the sample contained 510 grams, how much chromium would remain after 56 days? How much chromium will remain after 1 year?
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