Two identical particles execute simple harmonic motion with the same angular…

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

Problem

Two identical particles execute simple harmonic motion with the same angular frequency but different amplitudes

A_{1}=0.10\,\text{m}

and

A_{2}

. At a displacement of

0.05\,\text{m}

from their respective mean positions, the ratio of their kinetic energies is

1:3

(first to second). What is the value of

A_{2}

? (a)

0.25\,\text{m}

(b)

0.16\,\text{m}

(c)

0.19\,\text{m}

(d)

0.17\,\text{m}