Question

The potential energy of a conservative system is given by $V(x) = (x^2 - 3x)$ joule. Then its equilibrium position is at

• A. $x = 1.5\, m$
• B. $x = 2 \,m$
• C. $x = 2.5 \,m$
• D. $x = 3 \,m$

Answer 1

Answer: (A)

$x = 1.5\, m$

Answer 2

Given, $V ( x )=\left( x ^{2}-3 x \right)$
For condition of equilibrium, $\frac{ dV ( x )}{ dx }=0$
Hence, $\frac{ dV ( x )}{ dx }=2 x -3$
So, $2 x -3=0$
$x =1.5 m$