A car moves around a level circular path of radius with speed

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A car moves around a level circular path of radius r0r_0 with speed v0v_0, experiencing a centripetal acceleration a0a_0. The driver then increases the speed to 1.40v01.40v_0 while simultaneously moving to a wider lane whose radius is 1.20r01.20r_0. (a) Determine the car’s new centripetal acceleration in terms of a0a_0. Show clear algebraic reasoning. (b) Express the percentage change in centripetal acceleration relative to the original value a0a_0. Indicate whether it is an increase or a decrease, and justify your conclusion.

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