You have a frictionless ramp that starts at a height of 2.0 m. You have three objects at the top: (1) a block which slides down the ramp (no friction) and (2) a solid sphere and (3) a solid cylinder which both roll down the ramp without sliding. Assuming they start from rest, find the final velocity of all three objects at the bottom of the ramp. Which one reaches the bottom first? Briefly explain why they arrive at different speeds even though energy is conserved for all three.

You have a frictionless ramp that starts at a height of 2.0 m. You have three objects at the top: (1) a block which slides down the ramp (no friction) and (2) a solid sphere and (3) a solid cylinder which both roll down the ramp without sliding. Assuming they start from rest, find the final velocity of all three objects at the bottom of the ramp. Which one reaches the bottom first? Briefly explain why they arrive at different speeds even though energy is conserved for all three.

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