Question

Two charged particles having charge 4 micro couloumb and mass 8×10^-3 kg each are joined by an insulating string of length 3m and the system is kept on a smooth horizontal table. If suddenly string is cut then the acceleration of each particle is ???
Write with explanation.

Answer 1

Go through the following attachment

Answer 2

Answer:

The acceleration of each particle is 2 m/s².

Explanation:

Given that,

Two charges $q_{1}=q_{2}=4\times10^{-6}\ C$

Mass of charge $m=8\times10^{-3}\ kg$

Using formula of electric force

$F = \dfrac{kq_{1}q_{2}}{r^2}$

Here, $q_{1}=q_{2}$=charge

k = constant

r = distance between the charges

Put the value into the formula

$F=\dfrac{9\times10^{9}\times4\times10^{-6}\times4\times10^{-6}}{3^2}$

$F=0.016\ N$

The acceleration of each particle is

Using newton's law

$F = ma$

$a= \dfrac{F}{m}$

$a = \dfrac{0.016}{8\times10^{-3}}$

$a = 2\ m/s^2$

Hence, The acceleration of each particle is 2 m/s².