Question

Total energy of a particle of mass $100g$ performing S.H.M/ is $3.2J$. The velocity of the particle at the mean position is

• A. $6m/s$
• B. $7m/s$
• C. $8m/s$
• D. $9m/s$

Answer 1

The correct option is C $8m/s$

Given,

$E_t=3.2J$

$m=100g=0.1kg$

In S.H.M, the total energy is wholly kinetic at the mean position

$E_t=\frac{1}{2}m{v}^2$

$3.2=\frac{1}{2}\times 0.1v^2$

$v^2=64$

$v=\sqrt{64}$

$v=8m/s$

The correct option is C.