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## Homework Statement

A rope applies a force T = 500N as shown as the 30kg block moves 14m along the incline. The length of the incline is unlimited. The coefficient of friction between the block and the plane is 0.33

What is the acceleration of the block?

## Homework Equations

[itex]\Sigma[/itex]F = ma

## The Attempt at a Solution

So for this I tried -

F

_{gx}=mgsinθ - F

_{gy}=mgcosθ

ƩF

_{x}=ma

_{x}

Tsinθ-mgsinθ-μ

_{k}F

_{N}=ma

_{x}

So, after that I try to plug in F

_{N}=mgcosθ-Tcosθ

And then solve, then I take that answer as the force and divide it by the mass, 30kg, which would give me the answer.

However, I know the answer to this question and the one that I keep getting is wrong. Any help you guys could provide would be really appreciated.