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Question: Find n $r = \frac{2\sqrt{5} \times 10^{-3}}{3} m$ $Q = \frac{\sqrt{20}}{9} MC$ $mass = 3Kg$ Find i...

Find n

r=25×1033mr = \frac{2\sqrt{5} \times 10^{-3}}{3} m Q=209MCQ = \frac{\sqrt{20}}{9} MC mass=3Kgmass = 3Kg

Find initial acceleration of both initial acceleration of +Q is n3×109m/s2\frac{n}{3} \times 10^{-9} m/s^2

A

10^18

B

10^9

C

3*10^18

D

3*10^9

Answer

10^18

Explanation

Solution

The electrostatic force between two charges +Q+Q and Q-Q separated by distance rr is F=kQ2/r2F = kQ^2/r^2. The acceleration of a charge is a=F/ma = F/m. By substituting the given values of QQ, rr, and massmass, and assuming QQ is in milli Coulombs, the force is calculated as 109N10^9 N. The acceleration of the charge +Q+Q is then 109/3m/s210^9/3 m/s^2. Comparing this with the given format n3×109m/s2\frac{n}{3} \times 10^{-9} m/s^2, we find n=1018n = 10^{18}.