you went to move a 41 kg bookcase to a different place in the living room. if you push with a force of 65 N and the bookcase accelerates at 0.12 m/s2 what is the coefficient of kinetic friction between the bookcase and the carpet?

the force of friction = fk = (uk)n = 402(uk)

the net force acting to accelerate bookcase = ma = (41)(0.12) = 4.9 N

the {assumed horizontal} push force = 65 N

so

65 - fk = 4.9

fk = 65 - 4.9 = 60 N

uk = 60/402 = 0.15 <= ANS

chemical properties of thing

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.