show all your work please! 1. 10 points: The figure below shows a track with a r

Question

show all your work please!

1. 10 points: The figure below shows a track with a rough segment followed by a smooth (frictionless) one. We drop a cylinder of radius R at a height h on the rough side of the track, so that it rolls down without slipping. What height will the cylinder reach on the smooth side'? Note: You have seen this as a qualitative clicker question in class; here we are asking you to derive a symbolic expression for the height on the smooth side in terms of h rough smooth Figure 1: Diagram for Problem 1

Explanation / Answer

If it rolls without slipping on rough surface then heat generated by friction or work done by friction is zero.

The cylinder will reach to height h on on smooth surface.

height = h answer

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