Question

A particle of mass $2$ g is executing SHM of frequency $10$ Hz. What is its Total Energy when its displacement is $1$ cm and its amplitude is $4$ cm ?

• A. 6.318$\times$10${}^{-3}$ J
• B. 7.412$\times$10${}^{-3}$ J
• C. 8.42$\times$10${}^{-3}$ J
• D. 9.312$\times$10${}^{-3}$ J

Answer 1

The correct option is A 6.318$\times$10${}^{-3}$ J

TE is constant and
e.g. $\frac{1}{2}m{\omega }^2{A}^2$
$\omega =2\pi f$
$\omega =2\pi \times 10$
$TE=\frac{1}{2}\times 2\times {10}^{-3}\times (2\pi \times 10{)}^2(4\times {10}^{-2}{)}^2$
$=6.318\times {10}^{-3}$