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Leeee
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Homework Statement
A box of books weighing 329 N is shoved across the floor by a force of 484 N exerted downward at an angle of 32◦ below the hori- zontal.
The acceleration of gravity is 9.81 m/s2 .
If μk between the box and the floor is 0.57, how long does it take to move the box 3.66 m, starting from rest?
Answer in units of s.
Homework Equations
Force=Mass(Acceleration)
X=1/2aT^2
The Attempt at a Solution
(Sigma)Fx=F(friction)+F(Applied)=ma
(Sigma)Fy=w+F(Normal)+F(Applied)=0
F(Normal)=329N + 484N(Sin32) = 585.481 ---->
F(Kinetic) = Mu(Kinetic)*F(Normal) ---> Fk = 0.57(585.481) = 333.724
-F(Kinetic)+F(Applied)(Cos32)
---------------------------------- = a -----> m=F(gravity)/(9.81)
m
-333.724 + 484(Cos32)
-------------------------- = 2.02893
329x=1/2at^2
3.66=1/2(2.02893)t^2
t=1.89942
I'm pretty sure I've done this correct, but the answer keeps coming out incorrect. Somebody please check my work.