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1. A solid is rolling without slipping down an incline. At the bottom of the incline there is a r...

1. A solid is rolling without slipping down an incline. At the bottom of the incline there is a ramp that creates a "quarter-pipe". A quarter pipe is one quarter of a circle, when viewed from the side. The sphere is released from rest, 4 meters above the bottom of the incline. The sphere rolls without slipping down the incline and back up the quarter-pipe. Thesphere leaves trhe quarter-pipe 30 cm above the bottom of the incline and is launched vertically (straight into the air).

(a) Determine the height above the bottom of the incline the ball will reach after leaving the quarter-pipe. (IGNORE ANY EFFECTS DUE TO AIR RESISTANCE.)

(b) How would the height determined in part (a) change if the ramp were friction-less. Explain, briefly. Justifications should be made using concepts from physics.

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