Answer:
d = 1.636 m
Explanation:
Initially charged sphere are far apart so their potential energy is zero . Kinetic energy will be of small sphere
K E of small sphere
= 1/2 m v²
= .5 x 3.1 x 10⁻³ x ( 5.6)²
=48.608 x 10⁻³ J
If d be the distance of closest approach between them , potential energy of
Charges
= k q₁ x q₂ / d²
[tex]\frac{9\times10^9\times2.6\times10^{-6}\times3.4\times10^{-6}}{d^2}[/tex]
= [tex]\frac{79.56\times10^{-3}}{d^2}[/tex]
Total kinetic energy at this point will be zero.
Applying the theory of conservation of mechanical energy
Potential energy at distance d = Kinetic energy at infinity
48.608 x 10⁻³ = [tex]\frac{79.56\times10^{-3}}{d^2}[/tex]
d = 1.636 m
