When installing a Red Carpet for the Oscars, workers found that if they push the carpet roll (image included) in the direction to unroll, it will keep unrolling by itself. However, if they push it to roll it up, it will move some distance and then stop. Why is this happening if the surface is flat and the friction is negligible? Calculate the distance the roll will move if it is initially given a push of velocity v0 =1 m/s to roll it up. The carpet is 1 in thick, 60 m long and half-rolled up prior to being pushed. (Hint: use energy conservation.)

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 8STP
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When installing a Red Carpet for the Oscars, workers found that if they push the carpet roll (image included) in the direction to unroll, it will keep unrolling by itself. However, if they push it to roll it up, it will move some distance and then stop. Why is this happening if the surface is flat and the friction is negligible? Calculate the distance the roll will move if it is initially given a push of velocity v0 =1 m/s to roll it up. The carpet is 1 in thick, 60 m long and half-rolled up prior to being pushed. (Hint: use energy conservation.)

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