A particle executing SHM of amplitude has kinetic energy equal to potential energy at…

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

Problem

A particle executing SHM of amplitude

A

has kinetic energy equal to potential energy at displacement

x_1

. At another displacement

x_2

, its potential energy is three times its kinetic energy. Determine the ratio

\dfrac{x_2}{x_1}

. (a)

\sqrt{2}

(b)

\dfrac{\sqrt{3}}{2}

(c)

\dfrac{\sqrt{6}}{2}

(d)

1