Question

If gravitational potential at a plane is $V=(5x^2-3x^3+5)$ Joule/kg then find gravitational field intensity at $x=1m$:

• A. $1N/kg$
• B. $2N/kg$
• C. $-1N/kg$
• D. $-2N/kg$

Answer 1

The correct option is C $-1N/kg$

Given, $V=5x^2-3x^3+5$

Gravitational Field Intensity $\left(E\right)=-\frac{dV}{dx}$

$=-\frac{d(5x^2-3x^3+5)}{dx}$

$=-10x+9x^2$

So, Gravitational Field at $x=1$ will be:

$E=-10+9=-1N/kg$

So, the correct option will be $\left(C\right)$.