(1) A 86.4kg ski jumper leaves a ski jump at a speed of 42.7m{s at an angle of 22.1o. She ultimately lands 35.8m below where she left the jump.

  

(1) A 86.4kg ski jumper leaves a ski jump at a speed of 42.7m{s atan angle of 22.1o. She ultimately lands 35.8m below where she left the jump. Assume gravitational potential energy to be zero at the height of her landing point.(a) Use conservation of energy to find her speed when she hits the ground? To receive full credit, you must clearly define your system, axes, origin, and do math consistent with your choices.(b) How much time does she spend in the air? (2) An ice cube slides around a vertical circular path of diameter d. At the bottom of the circular path, the ice cube is moving at a speed of vb which corresponds to the slowest possible speed that still allows the ice cube to complete the loop. We will consider the bottom of the circular path to have zero gravitational potential energy. Define your system as the ice and the Earth.(a) What is the speed of the ice cube at the top of the circular path and the speed of the ice cube at the bottom of the circular path in terms of given parameters and constants of the universe?(b) Find an expression for the ice cube’s speed when it is at an angle θ, where the angle θ is measured counterclockwise from the top of the circular path. To check your answer, plug in θ ” 0 and θ ” 180o and ensure it gives you vt and vb, respectively. Science Physics PHYS MISC

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