Question

The potential energy of a system under the influence of conservative force at position x is $V\left(x\right)=[3x^2+4x+5]J$, At $x=2m$ the conservative force acting on the system is

• A. $-20N$
• B. $+16N$
• C. $-+20N$
• D. $-16N$

Answer 1

The correct option is D $-16N$

Given that ,

The potential energy of a system , $V\left(x\right)=3x^2+4x+5$

Force, $F=-\frac{dV}{dx}=-6x-4$

At $x=2m$

Force, $F=-12-4=-16N$