A particle moves on a circle of radius R with v² = v₀² + 2ks, where s is arc length. Which statements are correct?
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Question

A particle moves on a circle of radius R with v² = v₀² + 2ks, where s is arc length. Which statements are correct?

G1 Physics · Accepted Answer

From v²=v₀²+2ks, aₜ=½d(v²)/ds=k. Radial acceleration is a_c=v²/R=(v₀²+2ks)/R, which varies with s. Therefore net acceleration magnitude generally varies. Angular acceleration satisfies aₜ=Rα, so |α|=k/R, constant.