Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A carton of books is at rest on a tiled floor. You push it with for , then let go. Friction is while it slides.
Newton's second law: , where is the net force. Plan: draw the forces, find the net force, use , then the equations of motion (, , ).
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. (a) .
Step 2. (b) ; .
Step 3. (c) Slowing at : .
Step 4. (d) .
Answer: ; and ; ; .
Check. It slides with no push: moving things do not need a force to keep going.
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