A particle moves in a circle of radius such that

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A particle moves in a circle of radius rr such that, at every instant, its normal and tangential components of acceleration are equal. If its speed at t=0t=0 is v0v_0, the time taken to complete the first revolution is: (1) rv0\frac{r}{v_0} (2) rv0e−2π\frac{r}{v_0}e^{-2\pi} (3) rv0(1−e−2π)\frac{r}{v_0}(1-e^{-2\pi}) (4) rv0(1+e−2π)\frac{r}{v_0}(1+e^{-2\pi})

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