Energy Bar Charts and Energy transformations

For the following questions, start by drawing energy bar charts and identifying energy transformations. Then answer the question.

1. A block slides down a frictionless ramp of height h. It reaches velocity v at the bottom. To reach a velocity of 2v, the block would need to slide down a ramp of height

   A. 1.41 h
   B. 2 h
   C. 3 h
   D. 4 h
   E. 6 h
   
   

2. A block is shot up a frictionless 40 degree slope with initial velocity v. It reaches a height h before sliding back down. The same block is shot with the same velocity up a frictionless 20 degree slope. On this slope, the block reaches height
   
   A. 2 h
   B. h
   C. 1/2 h
   D. Greater than h, but I connot predict an exact value.
   E. Less than h, but I can't predict an exact value.
   
   
3. Two balls, one twice as heavy as the other, are dropped from the roof of a building. Just before hitting the ground, the heavier ball has
   
   A. one-half
   B. the same amount as
   C. twice
   D. four times
   
   the kinetic energy of the lighter ball.