Momentum/Conservation of energy

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The discussion revolves around a physics problem involving momentum and energy conservation during a collision between two individuals, Fred and Brutus. Fred, weighing 50 kg, runs at 6.10 m/s, while Brutus, weighing 130 kg, approaches at 5.10 m/s. After colliding, they fall and slide on the ground, with the coefficient of kinetic friction given as 0.330. Participants emphasize the importance of applying the kinetic energy formula and understanding the relationship between force and friction to solve the problem. Engaging with the problem and making an initial attempt is encouraged for effective assistance.
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Homework Statement



Fred (mass 50.0 kg) is running with the football at a speed of 6.10 m/s when he is met head-on by Brutus (mass 130 kg), who is moving at 5.10 m/s. Brutus grabs Fred in a tight grip, and they fall to the ground. How far do they slide?The coefficient of kinetic friction between football uniforms and Astroturf is 0.330 .

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The Attempt at a Solution

 
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Danielle_6,

You got to try something before we can help you. At least a guess. What is the formula for kinetic energy? How does force relate to coefficient of kinetic friction? TRY!
 
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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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