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A crane is used to lift a 2500 kg crate off the ground. How much work...

  1. A crane is used to lift a 2500 kg crate off the ground.
  1. How much work is done in raising the crate 35 meters above the ground?
  2. What is the crate’s potential energy at that height?
  3. At the top of the lift, the crate is dropped. How long does it take to hit the ground?
  4. What is the crate’s velocity at impact?
  1. Given a cylinder of radius 5 cm and height 10 cm,
  1. What is the surface area?
  2. What is the volume?
  3. What is the surface area to volume ratio?
  4. If the radius is increased to 10 cm, how does the surface area to volume ratio change (i.e. increase, decrease, stay the same).
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