Question

The force on a body executing SHM is $2$ N when the displacement is $2$ cm. If the amplitude of oscillations is $5$ cm, the total energy associated with the SHM is:

• A. 0.125 J
• B. 0.25 J
• C. 0.3755 J
• D. 0.5 J

Answer 1

The correct option is A 0.125 J

$F=k\times x$

$2=k\times 2\times {10}^{-2}$
$k=100$
$TE=\frac{1}{2}K{A}^2$
$TE=\frac{1}{2}100\times (5\times {10}^{-2}{)}^2$
$=0.125J$