Question

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. $5m/s$
• B. $15m/s$
• C. $10m/s$
• D. $20m/s$

Answer 1

Answer: (C)

$10m/s$

Answer 2

Kinetic energy at mean position,

$K_{\max} = \frac{1}{2}mv_{\max}^{2}. \Rightarrow v_{\max} = \sqrt{\frac{2K_{\max}}{m}}$

$= \sqrt{\frac{2 \times 16}{0.32}} = \sqrt{100}$ $= 10m/s.$