How Do You Calculate the Average Force Applied to a Basketball with a Kick?

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To calculate the average force applied to a basketball after a kick, first determine the change in momentum of the ball. The initial momentum is calculated using its mass and velocity, while the final momentum considers the new direction at an angle of 30 degrees. The time of contact (0.003 seconds) is crucial for finding the average force using the formula: average force equals the change in momentum divided by the time of contact. Users express confusion about applying the momentum principle correctly, indicating a need for clarity on the calculations involved. Properly applying these concepts will yield the average force exerted on the basketball.
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A 0.7 kg basketball is rolling by you at 3.5 m/s. As it goes by, you give it a quick kick perpendicular to its path. Your foot is in contact with the ball for 0.003 s. The ball eventually rolls at an angle of theta = 30 degrees from its original direction.
Determine the magnitude of the average force you applied to the ball.

Not sure how to do this, I am using the momentum principle and its not working
 
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whats not working about it? what answer did you come up with?
 
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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