Magnitude of change in linear momentum

AI Thread Summary
The problem involves calculating the change in linear momentum of a 0.70 kg ball that strikes a wall while moving at 9.6 m/s and rebounds at 1.3 m/s. The formula used is Dp = mv(f) - mv(i), where the initial and final velocities are in opposite directions. The initial momentum was calculated incorrectly, leading to a result of -5.81, which was identified as wrong. The correct approach recognizes that the magnitude of the change in momentum should be positive, resulting in a final answer of 7.63 kg·m/s. Understanding the direction of velocities is crucial for accurate momentum calculations.
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Homework Statement



A 0.70 kg ball is moving horizontally with speed of 9.6 m/s when it strikes a vertical wall. The ball rebounds with speed of 1.3 m/s. What is the magnitude of the change in linear momentum of the ball?


Homework Equations



Dp = mv(f) - mv(i)

The Attempt at a Solution



I solved for mv(f) and mv(i). Solved for Dp which I got -5.81 which is wrong.
 
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Hint: The initial and final velocities point in opposite directions.
 
-.91 - 6.72 = -7.63

Is the answer positive because magnitude is positive?
 
That is correct.
 
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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