Practice problem 15

MATH PROBLEMS need all 4 parts (1pt each)

  1. Free Body Diagram
  2. Equations written out
  3. Numbers
  4. Solve and Box your answer
  1. The deepest mine ever drilled has a depth of 12.3 km (by contrast, Mount Everest has height of 8.8 km). Suppose you drop a rock with a mass of 4.00kg down the shaft of this mine.
    a) What would the rock’s kinetic energy be after falling 5000m?
    b) Neglecting air resistance and using the rock's kinetic energy, what would be the downward velocity of the rock at 5000m?
    c) What would the potential energy, associated with the rock, be at that same distance?
    d) How long would the rock have been falling at 5000m?
    e) Using time, determine the downward velocity of the rock at 5000m
    f) Is b and e equivalent (+/- 5m/s)?
KEY