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Problem: The Ice Climbers Two ice climbers, Nana and Popo, are walking up a steep ice slope with an incline angle of 40. They


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Problem: The Ice Climbers Two ice climbers, Nana and Popo, are walking up a steep ice slope with an incline angle of 40. They are simply walking up it with ice spikes. The ice spikes give each of them a coefficient of kinetic friction of = 0.7 as long as they are standing. The climbers are attached by a long length of rope. Popo trips, falls, and begins sliding down the slope. Unfortunately, there is a shear drop off not far behind them. Popo goes over the edge. 0 = 40 Nana 60 kg 80 kg Popo a) When the rope goes taut, if both climbers have masses of 60 kg for Nana and 80 kg for Popo, what is Nana's acceleration as she is pulled towards the cliff (she keeps her ice spikes dug into the ground)? b) While sliding, Nana builds up a speed of 0.5 m/s before pulling out her climbing axe and burying it into the hillside! This increases her total coefficient of kinetic friction of = 2.6. What is her acceleration now? c) How far down the slope does she slide after using the axe? d) Nana manages to stop their decent. While stopped, with the axe in the ice, her coefficient of static friction is = 2.8. What is the maximum acceleration ice Popo can climb up the rope, without causing them to slide again?

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