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a 90 kg mini car moves at 10 m/s across fairly smooth ice on a frozen...

a 90 kg mini car moves at 10 m/s across fairly smooth ice on a frozen lake toward a rock with a mass of 6 kg. when thrown it becomes lodged in the mini car.

  1. How fast would the rock need to be moving to stop the mini cars approach on impact? Include a useful sketch of the pre/post situation.
  1. If the rock is  thrown with a velocity of 200 m/s, what is the total kinetic energy of the mini car/rock immediately after the impact (before the mini car slides to a stop)?
  1. Given that the person threw the rock with a velocity of 200 m/s. After the rock is embedded in the mini car, the mini car/rock system now slides to a stop. What is the stopping distance of the mini car if the effective kinetic coefficient of friction between the mini car and the ice is 0.1?
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