(Solution) - A small rubber ball of radius r is thrown against a rough -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A small rubber ball of radius r is thrown against a rough floor with a velocity vA of magnitude v0 and a backspin ?A of magnitude ?0. It is observed that the ball bounced from A to B, then from B to A, then from A to B, etc. Assuming perfectly elastic impact, determine the required magnitude ?0 of the backspin in terms of v0 and r.