Question

A particle performing oscillation has time period $\pi s$ and amplitude $3m$. At $x=+1m$, potential energy and kinetic energy of the particle are

• A. $1J$ and $8J$
• B. $8J$ and $1J$
• C. $6J$ and $4J$
• D. $4J$ and $6J$

Answer 1

Answer: (A)

$1J$ and $8J$

$P.E;E=\frac{1}{2}m{\omega }^2{x}^2$
$\omega =\frac{2\pi }{T}$
$K.E;E=\frac{1}{2}m{\omega }^2(a^2-x^2)$
We Have $\omega =\frac{2\pi }{T}=2$

$A=3;x=1$

So, we get the values as :
$P.E=1J$
$K.E=8J$