An electron is released from rest at a perpendicular distance of 9.3 cm from a line of charge on a very long nonconducting rod. That charge is uniformly distributed, with 6.7 μC/m. What is the magnitude of the electron's initial acceleration?

Explanation:

The electron is negatively charged .The magnitude of force acting on on electron is

F=|e| E

Where E is electric field of long non conducting rod E=1/2πε₀r with linear charge density λ=6.7μC/m

From Newtons second laws

the initial acceleration of electron is given by:

a=(|e|λ) /2πε₀rm= 2(|e|λ) / 4πε₀rm

Where 2 is multiplied on both numerator and denominator   to simplify calculation

The electron is initially at distance r=9.3cm=0.093 m from rod

So

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

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