# Problem on electrostatic force

## Homework Statement

A metal sphere of radius R and total charge Q is cut into two equal halves. Find the force that is
necessary to hold the two parts together.

## Homework Equations

##F = \frac{1}{4\pi \epsilon _0} \cdot \frac {q_1 q_2}{r^2}##
##\oint \vec E \cdot d \vec A = \frac{q}{\epsilon _0}##

## The Attempt at a Solution

Is there any other way which is easy to calculate rather than columb's law (using calculus)?