A baggage handler drops your 8.00 k g suitcase onto a conveyor belt running at 2

Question

A baggage handler drops your 8.00kg  suitcase onto a conveyor belt running at 2.20m/s . The materials are such that ?s = 0.460 and ?k = 0.290.

How far is your suitcase dragged before it is riding smoothly on the belt?
A baggage handler drops your 8.00kg  suitcase onto a conveyor belt running at 2.20m/s . The materials are such that ?s = 0.460 and ?k = 0.290.

How far is your suitcase dragged before it is riding smoothly on the belt?
How far is your suitcase dragged before it is riding smoothly on the belt?

Explanation / Answer

kinetic friction = .29*8*9.8 = 22.736 N

acceleration = .29 * 9.8 = 2.842

initial velocity = 0

final velocity must be equal to conveyor velocity for it to be riding smoothly

v^2 - u^2 = 2as

s = 2.2^2 / (2*2.842) = .85 m

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