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A block of 1 kg, initially launched with a speed of 4 m/s rolls across a...

A block of 1 kg, initially launched with a speed of 4 m/s rolls across a horizontal table surface over a distance of 3 m before coming to a stop, due to friction. I am not specifying μk, but I am telling you that μs < 1. Next the block is attached to a horizontal, unstretched spring of spring force constant k = 10 N/m, and given the same launching speed, on the same (horizontal) table surface. The other end of the spring is held by a rigid post bolted to the floor -so not attached to the table. You may assume that the table cannot slide across the floor either.

USING AS YOUR SYSTEM TABLE+POST+BLOCK, calculate how far the block slides before coming to a stop.

ALSO state (based on further calculations) whether this is a momentary or a permanent stop.  

Also, draw a Free Boday diagram for this problem thank you.

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