Force at an Angle: Solving for Acceleration & Normal Force

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A 70 kg box is pulled across a frictionless surface by a 300 N force at a 30-degree angle to the horizontal. The acceleration of the box in the X direction is calculated to be 3.71 m/s². The normal force acting on the box is determined to be 536 N. The solution involves applying the correct physics equations to resolve the forces acting on the box. Understanding the components of the applied force is crucial for solving such problems.
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Homework Statement


http://puu.sh/25OuR

a 70kg box is pulled across a frictionlesssurface by a 300N forace at an angle of 30 degree to the horizontal

A. What is the acceleration of the box in the X direction

b. what is the normal force on the box


Homework Equations



not sure

The Attempt at a Solution



Im not sure which formula to use on this one..
 
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nevermind i figured it out.

A = 3.71 m/s

B 536
 
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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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