Impulse-momentum theorem hmwk problem

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The impulse-momentum theorem states that the impulse applied to an object equals the change in momentum of that object. In the given problem, the golf club imparts a speed of 50 m/s to a 0.045 kg golf ball over a collision duration of 1.0 ms. The average force can be calculated using the formula: Force = Change in momentum / Time. The change in momentum is determined by multiplying the mass of the ball by its final velocity, leading to a calculated average force of 2.25 N. This analysis highlights the practical application of the impulse-momentum theorem in understanding collisions.
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a golf club hits a golf ball of mass 0.045 kg and gives it a speed of 50 m/s. estimate the magnitude of the average force of the club on the ball if the collision last for 1.0 ms.
 
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thanks cookie monster
 
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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