A 4.00 kg block is pushed along the ceiling

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To determine the coefficient of kinetic friction for a 4.00 kg block pushed along the ceiling with an 85.0 N force at a 55.0° angle, the net force acting on the block must be calculated. The applied force can be broken down into horizontal and vertical components, with the vertical component affecting the normal force. The block accelerates at 6.00 m/s², allowing the net force to be derived from Newton's second law. The direction of the kinetic friction force opposes the motion of the block, acting to the left. Understanding these forces and their interactions is crucial for solving the problem effectively.
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with a constant applied force of 85.0 N that acts at an angle of 55.0° with the horizontal. the block accelerates to the right at 6.00 m/s². determine the coefficient of kinetic frction between the block and the ceiling.
 
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Could you please show us your work, or at least thoughts on how to begin this problem? Try to draw yourself a picture and look at the forces involved. In what direction does the kinetic friction force act?etcetc
 
i sort of drew a diagram of the forces, but still didn't really get it.
 
Did you break down the force?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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