IB Physics Two climber problem
/A tutorial sheet on the famous two climber problem ( Physics for Scientists and Engineers, Tipler, 3rd edition, p 133, q 44) follows.
- Two climbers are on an icy (frictionless) slope that makes 40.0° with the horizontal are tied together by a 30.0 m rope. One climber (Paul, of mass 52.0 kg) is hanging over the top of the slope and the other climber (Jay, of mass 74.0 kg) has dropped his ice pick and is on the slope. At time t=0 the speed of each is zero. (a) Find the tension in the rope as Paul falls and his speed just before he hits the ground if initially he is 20.0 m above the ground. (b) If Paul unties his rope after hitting the ground, find Jay's speed as he hits the ground. Initially Paul is hanging 5.0 m below the top of the slope.
