Two athletes of equal mass run with the same speed around separate circular tracks

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Two athletes of equal mass run with the same speed around separate circular tracks. Track A has a radius of 200 m200\,\text{m} while Track B has a radius of 100 m100\,\text{m}. (i) Which athlete experiences the greater centripetal acceleration? (ii) By what factor is this acceleration greater? Give a brief reason for your answer.

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