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A boy has stacked two blocks on the floor so that a 500-kg block is on top of a 280-kg block. If the coefficient of

A boy has stacked two blocks on the floor so that a 500-kg block is on top of a 280-kg block. 

If the coefficient of static friction between the two blocks is 0.400 and the coefficient of static friction between the bottom block and the floor is 0.220, with what minimum force should the boy push horizontally on the upper block to make both blocks start to slide together along the floor? 

If the boy pushes too hard, the top block starts to slide off the lower block. What is the maximum force with which he can push without that happening if the coefficient of kinetic friction between the bottom block and the floor is 0.200?

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