Physics question driving me nuts

In summary, the problem involves a 1.92 kg book connected to a 0.450 kg coffee cup by a string. The book is pushed up an incline with a speed of 2.58 m/s and released. The coefficients of friction are μs = 0.457 and μk = 0.166. The goal is to find the acceleration of the book on the 21.2° incline. The equation used is f=ma, where f is the net force, m is the mass, and a is the acceleration. The final equation is a = (0.450(9.8) + 0.166 (18.8 cos 21.2) + 18.
  • #1
Terraist
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0

Homework Statement



The 1.92 kg physics book shown is connected by a string to a 450.0 g coffee cup. The book is given a push up the slope and released with a speed of 2.58 m/s. The coefficients of friction are μs = 0.457 and μk = 0.166. What is the acceleration of the book if the slope is inclined at 21.2°?

Homework Equations



f=ma

attachment.php?attachmentid=28757&stc=1&d=1286136609.jpg


c is cup
b is book

The Attempt at a Solution



Alright I've tried pretty much goddamn everything (including a solution from a textbook) and I still get the wrong answer. Here's the best I can do.

f = ma

-mcg - uk(mbg cos x) - mbg sin x = -ma

a ={0.450(9.8) + 0.166 (18.8 cos 21.2) + 18.8 sin 21.2}/ (1.92 + 0.450)

a = 5.96 m/s2 Wrong!
 

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  • #2
where are you taking the frictional force and V0 into consideration in your equations?
 

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