FYKOS Year 37 Series 5 Problem 3 — bowling · FYKOS 37 #37.5.3

Physics · mechanics

Problem

Jirka was bowling with his friends. He was throwing the ball so that when it hit the lane it had a horizontal velocity v0v_0 and glided on the lane without spinning. However, there was a coefficient of friction ff between the lane and the ball, hence after time t∗t^\ast the ball started to roll without slipping. Determine the final velocity v∗v^\ast at this equilibrium, the time t∗t^\ast and the distance s∗s^\ast the ball travels before reaching the equilibrium. The ball is solid, with radius rr and mass mm.

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