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How much acceleration can this little girl make?!?
A 100-kg trunk loaded with old books is to be slid across a floor by a young woman who exerts a force of 300N down and forward at 30degrees with the horizontal. if kinetic friction = 0.4 and static friction = 0.5, find the resulting acceleration.
how do i solve this problem? please help!
1 Answer
- SteveLv 71 decade agoFavorite Answer
1. Find the total vertical force of the box on the floor: Fn = mg + F*sinΘ = 100*9.8 + 300*sin30° = 1130 N.
2. Find the 2 friction forces: Ffs = µs*Fn = 565 N; Ffk = µk*Fn = 452 N.
3. Girl's Fh = 300*cos30° = 259.8 N
Since the exerted Fh is less than either of the friction forces required to move the trunk, there will be no movement of any kind. See if you can calculate the required force of 795.4 N she would have to provide to overcome the static friction........
