Question

A linear harmonic oscillator of force constant $2\times {10}^{6}N{m}^{-1}$ and amplitude 0.01 m has a total mechanical energy of $160$ J. Its

• A. maximum potential energy is $100$ J
• B. maximum kinetic energy is $100$ J
• C. maximum potential energy is $160$ J
• D. minimum potential energy is zero

Answer 1

Answer: (B), (C)

The correct options are
B maximum kinetic energy is $100$ J
C maximum potential energy is $160$ J

Maximum kinetic energy $=\frac{1}{2}k{A}^2=\frac{1}{2}\times (2\times {10}^6)\times {10}^{-4}=100J$
Maximum potential energy $=$ Total mechanical energy $=160J$