Question

A linear harmonic oscillator of force constant $6\times 10^{5}N/m$ and amplitude $4cm$, has a total energy $600J$. Select the correct statement.

• A. Maximum potential energy is 600 J
• B. Maximum kinetic energy is 480 J
• C. Minimum potential energy is 120 J
• D. All of these

Answer 1

Answer: (D)

$k=6\times 10^{5}N/m$
Amplitude $=4cm=4\times 10^{-2}m$
$=\frac{1}{2}k{x}^2=\frac{1}{2}\times 6\times 10^5\times {\left(4\times 10^{-2}\right)}^2$
or $E=480J$
Since energy of S.H.M. is $480J$ and there is $600J$ provided to the oscillation there must be $600-120=480J$ stored as energy.