Q. The kinetic energy of a particle executing S.H.M. is $16\ J$ when it is at its mean position. If the mass of the particle is $0.32\ kg,$ then what is the maximum velocity of the particle
A) $5\ m/s$
B) $15\ m/s$
C) $10\ m/s$
D) $20\ m/s$
Explanation
(c) Kinetic energy at mean position,
$K_{\max} = \frac{1}{2}mv_{\max}^{2}. \Rightarrow v_{\max} = \sqrt{\frac{2K_{\max}}{m}}$
$= \sqrt{\frac{2 \times 16}{0.32}} = \sqrt{100} = 10m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.