Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A box rests on a level floor with and . Taking , find
Static friction matches the push, up to a limit . Once the body slides, kinetic friction is , nearly steady, with . Friction acts along the surface, against the sliding.
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.
Given. , , , .
Plan. Use to start the box and once it slides.
Step 1. To start. .
Step 2. To keep it moving. .
Step 3. With . .
Answer: (a) . (b) . (c) .
Check. Starting needs more push than keeping it going, since .
Watch out. In (c) the box is already sliding, so use , not .
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